diff --git a/examples/h5o2+.extxyz b/examples/h5o2+.extxyz new file mode 100644 index 0000000..04e41f1 --- /dev/null +++ b/examples/h5o2+.extxyz @@ -0,0 +1,9 @@ +7 +Lattice='100 0 0 0 100 0 0 0 100' + O 5.40450e-01 -9.74850e-01 -2.16580e-01 + O 2.92484e+00 -8.39252e-01 1.52397e-01 + H 1.83860e-01 -1.25804e+00 -1.07875e+00 + H 1.74329e+00 -9.09278e-01 -1.00395e-01 + H 3.29707e+00 -1.59324e+00 6.47253e-01 + H 3.53033e+00 -6.08138e-01 -5.76078e-01 + H 4.23316e-02 -1.94860e-01 9.22810e-02 diff --git a/examples/multi_spectra_script-thorben.ipynb b/examples/multi_spectra_script-thorben.ipynb new file mode 100644 index 0000000..6d15d77 --- /dev/null +++ b/examples/multi_spectra_script-thorben.ipynb @@ -0,0 +1,655 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "c86f17cd", + "metadata": {}, + "outputs": [], + "source": [ + "import rascaline\n", + "rascaline._c_lib._get_library()\n", + "\n", + "from copy import deepcopy\n", + "\n", + "import numpy as np\n", + "\n", + "from equisolve.numpy.scripts import MultiSpectraScript\n", + "from equisolve.numpy.models.linear_model import Ridge\n", + "from equisolve.numpy.preprocessing import StandardScaler\n", + "from equisolve.utils.convert import ase_to_tensormap\n", + "from equisolve.utils.split_data import split_data\n", + "from equisolve.utils.metrics import rmse, rmspe\n", + "\n", + "import equistore\n", + "\n", + "import ase.io\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "7c807bd8", + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a199029f", + "metadata": {}, + "outputs": [], + "source": [ + "frames = ase.io.read(\"water_converted.extxyz\", \":15\") # CHANGE TO YOUR DATASET\n", + "# it would be better for a well defined training behaviour if you use 2k frames\n", + "# but that might bring you to the RAM limit of your computer, depending on the number\n", + "# of atoms in each frame\n", + "y = ase_to_tensormap(frames, energy=\"TotEnergy\", forces=\"force\")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "24f41acf", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(y[0].values)\n", + "plt.title(f'energies hist σ={np.std(y[0].values)}')\n", + "plt.show()\n", + "plt.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "bc51be53", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(y[0].gradient('positions').data.flatten())\n", + "plt.title(f\"forces hist σ={np.std(y[0].gradient('positions').data.flatten())}\")\n", + "plt.show()\n", + "plt.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "baca7fb8", + "metadata": {}, + "outputs": [], + "source": [ + "HYPERS = {\n", + " \"cutoff\": 5.0,\n", + " \"max_radial\": 8,\n", + " \"max_angular\": 6,\n", + " \"atomic_gaussian_width\": 0.25,\n", + " \"center_atom_weight\": 1.0,\n", + " \"radial_basis\":{\"Gto\": {\"spline_accuracy\": 1e-5}},\n", + " \"cutoff_function\": {\"ShiftedCosine\": {\"width\": 0.2}},\n", + " \"radial_scaling\": {\"Willatt2018\": {\"exponent\": 6, \"rate\": 3, \"scale\": 2.0}},\n", + "}\n", + "\n", + "multi_spectra_hypers = {}\n", + "multi_spectra_hypers['Composition'] = {'per_structure': False}\n", + "multi_spectra_hypers['SoapRadialSpectrum'] = deepcopy(HYPERS)\n", + "multi_spectra_hypers['SoapRadialSpectrum'].pop('max_angular')\n", + "multi_spectra_hypers['SoapPowerSpectrum'] = deepcopy(HYPERS)\n", + "\n", + "transformer = StandardScaler(parameter_keys=[\"values\"])\n", + "estimator = Ridge(parameter_keys=[\"values\", \"positions\"])\n", + "script = MultiSpectraScript(multi_spectra_hypers,\n", + " transformer_y=transformer,\n", + " estimator=estimator)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "5a48817e", + "metadata": {}, + "outputs": [], + "source": [ + "Xi = script.compute(systems=frames, gradients=[\"positions\"])" + ] + }, + { + "cell_type": "markdown", + "id": "34fe4814", + "metadata": {}, + "source": [ + "### training" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "13fbaf0e", + "metadata": {}, + "outputs": [], + "source": [ + "Xi_train, Xi_val, Xi_test = {}, {}, {}\n", + "for key in Xi.keys():\n", + " Xi_train[key], Xi_val[key], Xi_test[key] = split_data(Xi[key], axis='samples', names=['structure'], n_groups=3, seed=5)[0][0]\n", + " \n", + "y_train, y_val, y_test = split_data(y, axis='samples', names=['structure'], n_groups=3, seed=5)[0][0]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "6e71e20a", + "metadata": {}, + "outputs": [], + "source": [ + "script.fit(Xi_train, y_train, **{\"estimator\": {\"alpha\": 1e-12}})" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "24e87b05", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "train energy RMSE 5.327158832694204\n", + "train forces RMSE 0.1453119534933828\n", + "test energy RMSE 12.54145677502653\n", + "test forces RMSE 0.24002168287180847\n" + ] + } + ], + "source": [ + "print(\"train energy RMSE\", script.score(Xi_train, y_train, parameter_keys=['values']))\n", + "print(\"train forces RMSE\", script.score(Xi_train, y_train, parameter_keys=['positions']))\n", + "\n", + "print(\"test energy RMSE\", script.score(Xi_test, y_test, parameter_keys=['values']))\n", + "print(\"test forces RMSE\", script.score(Xi_test, y_test, parameter_keys=['positions']))" + ] + }, + { + "cell_type": "markdown", + "id": "973ab000", + "metadata": {}, + "source": [ + "It is overfitting (low train and high test error), seems reasonable for such small alpha" + ] + }, + { + "cell_type": "markdown", + "id": "da26a3c5", + "metadata": {}, + "source": [ + "### PCA" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "98d23392", + "metadata": {}, + "outputs": [], + "source": [ + "X = script.compute_features(Xi) # script needs to be fitted, because it contains transformers" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "872ea7d8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "Xt = PCA(n_components=2).fit_transform(X[0].values)\n", + "plt.scatter(Xt[:, 0], Xt[:, 1])\n", + "plt.xlabel('PCA1')\n", + "plt.ylabel('PCA2')\n", + "plt.show()\n", + "plt.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "a532fbea", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for i in range(X[0].values.shape[1]):\n", + " plt.scatter(np.ones(X[0].values[:, i].shape[0])*i, X[0].values[:, i], alpha=0.25, color='C0', s=0.5)\n", + "plt.xlabel('features')\n", + "plt.ylabel('value')\n", + "plt.show()\n", + "plt.close()" + ] + }, + { + "cell_type": "markdown", + "id": "4c05da0b", + "metadata": {}, + "source": [ + "### 2-fold cross-validation" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "bafe5616", + "metadata": {}, + "outputs": [], + "source": [ + "def compute_sample_weights(y, energy=1.0, forces=1.0):\n", + " sw = equistore.ones_like(y)\n", + " sw[0].values[:] *= energy\n", + " sw[0].gradient('positions').data[:] *= forces\n", + " return sw" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "54261c2f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Computing errors for alpha=1e-12, energy_weight=0.0\n", + "Computing errors for alpha=1e-08, energy_weight=0.0\n", + "Computing errors for alpha=0.0001, energy_weight=0.0\n", + "Computing errors for alpha=1.0, energy_weight=0.0\n", + "Computing errors for alpha=10000.0, energy_weight=0.0\n", + "Computing errors for alpha=1e-12, energy_weight=0.25\n", + "Computing errors for alpha=1e-08, energy_weight=0.25\n", + "Computing errors for alpha=0.0001, energy_weight=0.25\n", + "Computing errors for alpha=1.0, energy_weight=0.25\n", + "Computing errors for alpha=10000.0, energy_weight=0.25\n", + "Computing errors for alpha=1e-12, energy_weight=0.5\n", + "Computing errors for alpha=1e-08, energy_weight=0.5\n", + "Computing errors for alpha=0.0001, energy_weight=0.5\n", + "Computing errors for alpha=1.0, energy_weight=0.5\n", + "Computing errors for alpha=10000.0, energy_weight=0.5\n", + "Computing errors for alpha=1e-12, energy_weight=0.75\n", + "Computing errors for alpha=1e-08, energy_weight=0.75\n", + "Computing errors for alpha=0.0001, energy_weight=0.75\n", + "Computing errors for alpha=1.0, energy_weight=0.75\n", + "Computing errors for alpha=10000.0, energy_weight=0.75\n", + "Computing errors for alpha=1e-12, energy_weight=1.0\n", + "Computing errors for alpha=1e-08, energy_weight=1.0\n", + "Computing errors for alpha=0.0001, energy_weight=1.0\n", + "Computing errors for alpha=1.0, energy_weight=1.0\n", + "Computing errors for alpha=10000.0, energy_weight=1.0\n" + ] + } + ], + "source": [ + "# I usually use a range of, but with this multispectra, this seems to be a better range\n", + "#alphas = np.geomspace(1e-12, 1e-3, 10)\n", + "# but because the dataset is extremely small, one has go to higher regularizers\n", + "alphas = np.geomspace(1e-12, 1e+4, 5)\n", + " \n", + "energy_weights = np.linspace(0,1,5)\n", + "\n", + "\n", + "train_energy_rmse = {}\n", + "train_forces_rmse = {}\n", + "\n", + "val_energy_rmse = {}\n", + "val_forces_rmse = {}\n", + "\n", + "\n", + "for energy_weight in energy_weights:\n", + " sw = compute_sample_weights(y_train, energy=energy_weight)\n", + " for alpha in alphas:\n", + " print(f\"Computing errors for alpha={alpha}, energy_weight={energy_weight}\")\n", + " script.fit(Xi_train, y_train, **{\"estimator\": {\"alpha\": float(alpha), \"sample_weight\": sw}})\n", + " y_train_pred = script.forward(Xi_train)\n", + " y_val_pred = script.forward(Xi_val)\n", + "\n", + " train_energy_rmse[(alpha,energy_weight)] = rmse(y_train, y_train_pred, parameter_key='values')\n", + " train_forces_rmse[(alpha,energy_weight)] = rmse(y_train, y_train_pred, parameter_key='positions')\n", + "\n", + " val_energy_rmse[(alpha,energy_weight)] = rmse(y_val, y_val_pred, parameter_key='values')\n", + " val_forces_rmse[(alpha,energy_weight)] = rmse(y_val, y_val_pred, parameter_key='positions')\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "56b5ed2a", + "metadata": {}, + "outputs": [], + "source": [ + "def alpha_weighting(x):\n", + " return 1 / (1 + np.exp(-x))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "5b67d322", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('energy RMSE')\n", + "for energy_weight in energy_weights:\n", + " plt.loglog(alphas, [train_energy_rmse[(alpha, energy_weight)] for alpha in alphas],\n", + " color='C0', label=f'train ew={energy_weight}', alpha=alpha_weighting(energy_weight))\n", + "for energy_weight in energy_weights:\n", + "\n", + " plt.loglog(alphas, [val_energy_rmse[(alpha, energy_weight)] for alpha in alphas],\n", + " color='C1', label=f'val ew={energy_weight}', alpha=alpha_weighting(energy_weight))\n", + "plt.xlabel('alpha')\n", + "plt.ylabel('RMSE')\n", + "plt.legend()\n", + "plt.show()\n", + "plt.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "a2359d39", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('forces RMSE')\n", + "for energy_weight in energy_weights:\n", + " plt.loglog(alphas, [train_forces_rmse[(alpha, energy_weight)] for alpha in alphas],\n", + " color='C0', label=f'train ew={energy_weight}', alpha=alpha_weighting(energy_weight))\n", + "for energy_weight in energy_weights:\n", + "\n", + " plt.loglog(alphas, [val_forces_rmse[(alpha, energy_weight)] for alpha in alphas],\n", + " color='C1', label=f'val ew={energy_weight}', alpha=alpha_weighting(energy_weight))\n", + "plt.xlabel('alpha')\n", + "plt.ylabel('RMSE')\n", + "plt.legend()\n", + "plt.show()\n", + "plt.close()" + ] + }, + { + "cell_type": "markdown", + "id": "b38e9ac8", + "metadata": {}, + "source": [ + "I think you don't see and effect on the forces, because we just train on 5 frames (5 energies) while having almost 2k features. Training on energy and forces does not limit the model and thus does not restrict the fitting of the forces." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "e8295346", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.title('energy vs forces validation RMSE for energy weight 1.0')\n", + "plt.loglog(alphas, [val_forces_rmse[(alpha, 1.0)] for alpha in alphas],\n", + " color='C6', label='forces')\n", + "plt.loglog(alphas, [val_energy_rmse[(alpha, 1.0)] for alpha in alphas],\n", + " color='C9', label='energy')\n", + "plt.xlabel('alpha')\n", + "plt.ylabel('RMSE')\n", + "plt.legend()\n", + "plt.show()\n", + "plt.close()" + ] + }, + { + "cell_type": "markdown", + "id": "a26cb79d", + "metadata": {}, + "source": [ + "Choose one alpha that suits your force error and retrain on train+val." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "f812ddc2", + "metadata": {}, + "outputs": [], + "source": [ + "Xi_retrain = {}\n", + "for key in Xi_train.keys():\n", + " Xi_retrain[key] = equistore.join([Xi_train[key], Xi_val[key]], axis=\"samples\")\n", + "y_retrain = equistore.join([y_train, y_val], axis=\"samples\")\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f4876029", + "metadata": {}, + "outputs": [], + "source": [ + "script.fit(Xi_retrain, y_retrain, **{\"estimator\": {\"alpha\": 1e-8}})\n", + "y_test_pred = script.forward(Xi_test)\n", + "print(\"RMSE energies\", rmse(y_test, y_test_pred, parameter_key='values'))\n", + "print(\"RMSE forces\", rmse(y_test, y_test_pred, parameter_key='positions'))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "6c0c30eb", + "metadata": {}, + "outputs": [], + "source": [ + "import pickle\n", + "with open(\"multi_spectra_script-thorben.pickle\", \"wb\") as file:\n", + " pickle.dump(script, file)" + ] + }, + { + "cell_type": "markdown", + "id": "64b6232c", + "metadata": {}, + "source": [ + "### Testing i-pi support" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "99a94bf0", + "metadata": {}, + "outputs": [], + "source": [ + "import pickle\n", + "with open(\"multi_spectra_script-thorben.pickle\", \"rb\") as file:\n", + " script = pickle.load(file)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "5369b107", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-30021.592706684605\n", + "\n", + "[[-3.49000829 -0.66491428 0.03825963]\n", + " [ 3.31762319 0.70152297 1.06043758]\n", + " [-0.53010739 -0.29730224 -0.87017826]\n", + " [ 0.06258619 -0.01292945 -0.39877504]\n", + " [ 0.5565406 -0.76222816 0.55000543]\n", + " [ 0.77346134 0.24635373 -0.68418884]\n", + " [-0.69009565 0.78949744 0.30443949]]\n" + ] + } + ], + "source": [ + "# in ipi\n", + "\n", + "import ase.io\n", + "import numpy as np\n", + "\n", + "structure = ase.io.read(\"h5o2+.extxyz\", \"0\")\n", + "\n", + "Xi = script.compute(systems=structure, gradients=[\"positions\"])\n", + "y_pred = script.forward(Xi) # implicitely done in score function\n", + "energy = y_pred.block().values[0][0]\n", + "forces = np.array(y_pred.block().gradient(\"positions\").data.reshape(-1, 3))\n", + "\n", + "print(energy)\n", + "print()\n", + "print(forces)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3b022484", + "metadata": {}, + "outputs": [], + "source": [ + "# install ipi from this fork and branch https://github.com/agoscinski/i-pi/tree/equihack\n", + "# pip install pip install git+https://github.com/agoscinski/i-pi/@equihack" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "995fe798", + "metadata": {}, + "outputs": [], + "source": [ + "from equisolve.numpy.scripts import GenericMDCalculator\n", + "\n", + "from ipi.utils.mathtools import det_ut3x3\n", + "from ipi.utils.units import unit_to_internal, unit_to_user\n", + "\n", + "\n", + "md_calc = GenericMDCalculator(\"multi_spectra_script-thorben.pickle\",\n", + " is_periodic=True,\n", + " structure_template=\"h5o2+.extxyz\",\n", + " atomic_numbers=[1,8])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f0b1ba38", + "metadata": {}, + "outputs": [], + "source": [ + "# If it runs through you can go to i-pi side and follow the instruction here\n", + "# https://github.com/agoscinski/i-pi/tree/equihack/examples/equiscript\n", + "# using the multi_spectra_script-thorben.pickle" + ] + } + ], + "metadata": { + "hide_input": false, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/multi_spectra_script-water.pickle b/examples/multi_spectra_script-water.pickle new file mode 100644 index 0000000..efffe3b Binary files /dev/null and b/examples/multi_spectra_script-water.pickle differ diff --git a/examples/multi_spectra_script.ipynb b/examples/multi_spectra_script.ipynb new file mode 100644 index 0000000..4772ed0 --- /dev/null +++ b/examples/multi_spectra_script.ipynb @@ -0,0 +1,228 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "c86f17cd", + "metadata": {}, + "outputs": [], + "source": [ + "import rascaline\n", + "rascaline._c_lib._get_library()\n", + "\n", + "from copy import deepcopy\n", + "\n", + "import numpy as np\n", + "\n", + "from equisolve.numpy.scripts import MultiSpectraScript\n", + "from equisolve.numpy.models.linear_model import Ridge\n", + "from equisolve.numpy.preprocessing import StandardScaler\n", + "from equisolve.utils.convert import ase_to_tensormap\n", + "\n", + "import ase.io\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "a199029f", + "metadata": {}, + "outputs": [], + "source": [ + "frames = ase.io.read(\"water_converted.extxyz\", \":20\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "baca7fb8", + "metadata": {}, + "outputs": [], + "source": [ + "HYPERS = {\n", + " \"cutoff\": 3.0,\n", + " \"max_radial\": 6,\n", + " \"max_angular\": 4,\n", + " \"atomic_gaussian_width\": 0.3,\n", + " \"center_atom_weight\": 1.0,\n", + " \"radial_basis\": {\"Gto\": {}},\n", + " \"cutoff_function\": {\"ShiftedCosine\": {\"width\": 0.5}},\n", + "}\n", + "\n", + "multi_spectra_hypers = {}\n", + "multi_spectra_hypers['Composition'] = {'per_structure': True}\n", + "multi_spectra_hypers['SoapRadialSpectrum'] = deepcopy(HYPERS)\n", + "multi_spectra_hypers['SoapRadialSpectrum'].pop('max_angular')\n", + "multi_spectra_hypers['SoapPowerSpectrum'] = deepcopy(HYPERS)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "0233bbb9", + "metadata": {}, + "outputs": [], + "source": [ + "y = ase_to_tensormap(frames, energy=\"TotEnergy\", forces=\"force\")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "cdf7caa4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "671.9636307759672" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Because all frames have the same species, we cannot scale, so we just subtract the mean\n", + "#transformer_composition = StandardScaler(parameter_keys=[\"values\", \"positions\"], with_mean=True, with_std=False)\n", + "# THIS IS BUGGY, something wrong in the standardizer when setting these flags to False\n", + "\n", + "transformer = StandardScaler(parameter_keys=[\"values\", \"positions\"])\n", + "estimator = Ridge(parameter_keys=[\"values\", \"positions\"])\n", + "script = MultiSpectraScript(multi_spectra_hypers,\n", + " #transformer_X=transformer,\n", + " #transformer_y=transformer,\n", + " estimator=estimator)\n", + "Xi = script.compute(systems=frames, gradients=[\"positions\"])\n", + "script.fit(Xi, y, **{\"estimator_kwargs\": {\"alpha\": 1e-15}})\n", + "script.score(Xi, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "902e9517", + "metadata": {}, + "outputs": [], + "source": [ + "import pickle\n", + "with open(\"multi_spectra_script-water.pickle\", \"wb\") as file:\n", + " pickle.dump(script, file)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "3b640034", + "metadata": {}, + "outputs": [], + "source": [ + "# RESTART NOTEBOOK" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "99a94bf0", + "metadata": {}, + "outputs": [], + "source": [ + "import pickle\n", + "with open(\"multi_spectra_script-water.pickle\", \"rb\") as file:\n", + " script = pickle.load(file)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "5369b107", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-29201.186821558364\n", + "\n", + "[[-295.60671847 -4.62718863 -55.59864334]\n", + " [ 298.54620907 4.04942317 37.15507667]\n", + " [-221.68776379 -150.28232975 -242.81915489]\n", + " [ -7.67013877 1.6028996 48.61326349]\n", + " [ 176.03569875 -146.94124088 179.13481445]\n", + " [ 286.69810363 136.65180697 -172.50009028]\n", + " [-220.83316507 156.29491821 107.1942928 ]]\n" + ] + } + ], + "source": [ + "# in ipi\n", + "\n", + "import ase.io\n", + "import numpy as np\n", + "\n", + "structure = ase.io.read(\"h5o2+.extxyz\", \"0\")\n", + "\n", + "Xi = script.compute(systems=structure, gradients=[\"positions\"])\n", + "y_pred = script.forward(Xi) # implicitely done in score function\n", + "energy = y_pred.block().values[0][0]\n", + "forces = np.array(y_pred.block().gradient(\"positions\").data.reshape(-1, 3))\n", + "\n", + "print(energy)\n", + "print()\n", + "print(forces)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "995fe798", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from equisolve.numpy.scripts import GenericMDCalculator\n", + "\n", + "from ipi.utils.mathtools import det_ut3x3\n", + "from ipi.utils.units import unit_to_internal, unit_to_user\n", + "\n", + "\n", + "md_calc = GenericMDCalculator(\"multi_spectra_script-water.pickle\",\n", + " is_periodic=True,\n", + " structure_template=\"h5o2+.extxyz\",\n", + " atomic_numbers=[1,8])" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/examples/water_converted.extxyz b/examples/water_converted.extxyz new file mode 100644 index 0000000..89dcea1 --- /dev/null +++ b/examples/water_converted.extxyz @@ -0,0 +1,309042 @@ +192 +Lattice="12.417201 0.0 0.0 -1e-06 12.417201 0.0 -1e-06 -1e-06 12.417201" Properties=species:S:1:pos:R:3:force:R:3 TotEnergy=-30020.75398089534 cutoff=-1.0 nneightol=1.2 pbc="T T T" +O 6.20507906 7.72080134 13.40638713 -2.16681279 1.94828958 0.16195329 +H 6.71737552 8.54028517 13.08131357 -1.90760444 -1.77594338 0.80552154 +H 5.13313007 7.95771398 13.63440959 3.94763098 -0.05203039 -1.16753290 +O 5.65166553 1.80564260 2.34580024 -0.98650151 0.77959454 2.03943519 +H 5.36850280 2.06814096 3.38698286 0.56175523 -0.33104653 -4.48189084 +H 5.27857972 2.40037958 1.59145813 0.59301985 -0.87106925 2.19428246 +O -0.67860098 10.93772253 0.17576092 0.80578380 2.93734677 -1.03828868 +H -1.05882010 10.28889835 0.81260453 -0.26023886 0.63628124 0.17682198 +H -0.85530383 11.96099250 0.26722497 -0.10401296 -2.88968365 0.88041779 +O 4.87616162 3.30782324 12.67538173 0.30845321 2.65652571 -1.73107248 +H 5.61462313 3.97397268 12.36337885 -0.81940036 -1.42675668 1.36469539 +H 4.11568105 3.82291376 12.33009360 0.25031594 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0.0 -1e-06 -1e-06 12.725098" Properties=species:S:1:pos:R:3:force:R:3 TotEnergy=-30013.506772396446 cutoff=-1.0 nneightol=1.2 pbc="T T T" +O 1.96787246 8.90880418 12.29273369 1.74132090 -3.66978213 3.28412176 +H 2.69010410 8.34475419 13.06480324 -2.40696928 2.79483050 -2.89072752 +H 1.31931287 8.16351100 12.24404939 0.84703972 0.99544381 -0.46642695 +O 10.88538690 3.53021526 7.38879556 1.95863570 0.04098236 0.19148447 +H 11.49785660 3.25717569 6.68430194 -0.03793200 0.01743774 0.21454572 +H 11.42551808 3.32054996 8.18229679 -0.43074415 0.42912332 -0.45909365 +O 2.19777350 11.92728391 1.45705241 -3.65489029 -0.00815194 -4.50894913 +H 1.49335926 11.84706064 0.54452864 3.06593793 0.13556091 4.29295588 +H 2.66341240 12.72173766 1.18100182 0.40975983 -0.06729143 0.01260818 +O 1.68699049 10.84781532 8.31723698 0.41879983 -1.56555513 2.40825997 +H 1.61078897 9.82766749 8.55039246 0.05797067 3.11779708 -0.57778349 +H 2.05193226 11.33852134 9.14322969 -0.74949720 -1.53450134 -2.02074327 +O 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TotEnergy=-30033.62306179266 cutoff=-1.0 nneightol=1.2 pbc="T T T" +O 10.12067291 10.36218939 11.27782472 -0.29568923 0.01389424 -0.43509703 +H 9.15561243 10.42161599 11.25575803 0.26460202 0.02128411 0.22642113 +H 10.31038294 9.44819451 11.53733322 0.48231791 0.10381447 -0.10350954 +O 5.97890872 6.71689926 3.69722888 -0.19394758 0.03892702 -0.00025762 +H 5.28138965 7.31772706 3.38011414 -0.08952068 -0.03153818 0.03160040 +H 5.70193737 5.85418165 3.38638489 0.07107610 0.02878916 -0.13947773 +O 5.58832302 0.76825947 7.66296227 -0.04676631 -0.10162080 0.15227874 +H 5.43517913 1.00727295 6.73690215 0.15560266 -0.11913207 0.24490222 +H 4.73454851 0.46168860 7.96231782 -0.23670298 0.01055438 -0.06442105 +O 2.15233835 6.75092535 6.45410985 -0.13361819 -0.46522573 -0.08168498 +H 1.41425785 6.13575684 6.56756545 0.01274033 0.15160305 0.32206155 +H 1.79011125 7.37614823 5.79681884 0.37750585 -0.02794841 -0.00681291 +O 4.12251273 10.63730862 5.83788299 0.08242083 -0.02269976 0.04957910 +H 4.70105159 9.86047648 5.84894279 0.11313832 0.15605261 0.01179005 +H 3.66320278 10.57698242 6.68075645 -0.15147038 -0.03525548 -0.02208372 +O 8.20420472 0.52139407 4.05660371 -0.05901094 -0.01437812 -0.03973280 +H 7.25459622 0.34386306 4.01857174 0.09060054 -0.02116635 0.20360876 +H 8.45926814 0.27381375 4.94959025 0.40836526 0.02261954 -0.20689155 +O 8.67279114 4.17865843 10.84691572 -0.14527505 0.72888210 0.24846475 +H 9.20599010 4.33553831 11.63676562 -0.31276650 -0.55028297 0.09226507 +H 9.30753921 3.72728085 10.28773416 -0.06586704 0.14061981 -0.44531408 +O 11.30195520 7.93585896 10.97031984 -0.19891033 -0.08486595 -0.00242301 +H 11.69211756 7.16548278 11.40027633 -0.20666272 -0.05636321 -0.03723935 +H 11.81229370 8.09355377 10.17396106 0.09391726 0.03533827 0.10106545 +O 5.49487032 12.28987613 1.65485356 0.25256154 -0.06830136 -0.11760844 +H 4.99487723 11.47340862 1.63056432 -0.18442010 0.09472253 -0.17731254 +H 5.64812004 12.43984496 2.60179501 -0.32052300 -0.13308751 0.10942822 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2.39985040 2.09629319 2.50746388 -0.29946001 0.21198285 -0.04637448 +O 9.00966536 9.76289620 4.97100605 -0.06701787 0.26112074 -0.43159673 +H 9.06776902 10.23772691 5.83566045 -0.09142278 -0.07300134 0.17173531 +H 8.48794955 10.30403282 4.36492881 0.38614527 -0.08229691 0.33504048 +O 3.58588470 6.49654987 10.63524483 0.08137696 -0.29303688 0.21947710 +H 2.85900688 7.10790830 10.66524918 -0.41905745 0.41369259 -0.05211884 +H 4.31159304 7.01223306 10.22063449 -0.09113327 -0.35002179 0.27283881 +O 8.48345154 6.93910077 10.24016113 0.19837811 0.34430365 0.00937836 +H 9.19593574 7.57533053 10.37441338 0.01516077 -0.20974907 -0.01280718 +H 8.86752836 6.08691379 10.48506434 -0.28404573 -0.19224654 -0.19249697 +O 3.68803178 8.16123554 2.76147423 -0.01385619 -0.16160259 -0.06303368 +H 3.30158954 7.31201195 2.51345417 0.38123498 0.18745041 0.03777157 +H 3.80918161 8.56129351 1.88400846 -0.02809085 0.28528757 0.13297695 +O 1.41204059 4.92544389 1.07358414 -0.22034767 -0.31400886 -0.23656002 +H 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9.29917821 1.33933165 9.05766173 -0.05420914 0.25622331 0.30491126 +H 9.39072587 1.89764006 8.26770599 -0.10049775 0.11722175 -0.01608431 +H 9.89048082 1.70857563 9.72008576 0.29520946 -0.21199159 -0.14957960 +O 11.92162171 5.28257501 11.87764709 0.32352399 -0.05139944 -0.14501023 +H 11.59300267 4.51305080 12.36639516 -0.35048304 -0.00196895 -0.32110921 +H 12.87885037 5.19927722 11.98745136 -0.09778009 -0.02541844 -0.11311261 +O 7.96480495 10.55401613 0.13593663 1.80135102 -2.34449661 -0.59024306 +H 7.36260129 11.21104255 0.33365629 -1.97084844 1.75383189 0.67594308 +H 7.50066362 9.71527025 0.05780467 -0.26929942 0.42994145 0.10953363 +O 0.35968916 11.52368045 7.05096883 -1.79855880 0.07035413 0.66945361 +H 0.18980952 10.90919987 7.79509782 -0.05574563 0.54841121 -0.65973484 +H 1.23270244 11.38836984 6.79193658 1.97338355 -0.59992069 -0.62662417 +O 3.80253514 5.92038172 1.31981030 0.04197326 -0.03695755 -0.06535539 +H 3.69461474 6.03473691 0.36522382 0.23437767 -0.00159203 0.02178804 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10.34641991 6.55883402 11.89680330 0.31130251 -0.22098479 0.57583974 +H 9.44528404 7.72614603 12.33691999 -1.08476908 1.05111848 2.54139170 +O 4.16424893 9.13931377 5.60075868 0.69215645 -1.05475916 -3.74972801 +H 4.89821773 9.28324998 6.14565246 1.97887542 0.29569797 1.62697879 +H 3.44821925 9.28721880 6.13649769 -2.69979224 0.65497830 1.80986651 +O 8.20404597 1.86193118 1.13280436 -0.89879089 2.97311081 3.08225415 +H 8.24235840 3.24246457 2.08937155 -0.56870750 -3.98226889 -2.44482106 +H 7.65809384 1.25410766 1.73827305 1.20107037 1.74737842 -0.41227797 +O 2.01331820 0.47514716 4.91679714 -0.23249974 -8.14355856 -11.36864779 +H 2.82280587 0.62441323 4.27902218 -1.32371200 0.09699025 1.18606027 +H 2.10044723 0.99742496 5.53725742 1.71300277 8.02821886 9.29109342 +O 4.24242958 1.41072294 3.12967044 -3.54554641 -11.53448396 -2.95186321 +H 3.92609802 1.95677032 0.83819024 1.98938095 3.02454316 1.14288116 +H 4.46646733 2.17438916 3.33602839 2.98855800 10.52784556 2.83678577 +O 4.97909717 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6.35779960 0.25854911 3.57774596 -6.76225898 -1.85422319 0.52495760 +O 5.82639985 9.24901221 7.86997640 -0.68489566 7.55801548 -3.48077517 +H 6.72817073 9.38172985 7.71296952 2.03206127 0.29176161 -0.24719925 +H 5.72220485 8.48398072 8.22039755 -0.94277219 -7.97581978 3.65864925 +O 11.28454527 8.53155375 3.24629581 0.46780249 -5.84782036 3.05135463 +H 11.66116069 9.06417061 2.66558203 3.45289927 3.82964305 -4.18045982 +H 10.53517742 9.01786760 3.35191429 -3.59701476 1.53945329 1.21452753 +O 8.93880853 5.26458298 6.39341323 1.61699262 1.53762266 4.85151266 +H 8.99304919 4.77773995 5.63848902 0.43762391 -2.40275781 -2.83188525 +H 9.65949497 4.93950942 7.05710728 -2.05482067 0.61760988 -1.75406843 +O 0.54492552 3.75194580 10.27805021 13.48785403 6.45156685 -4.55863313 +H -0.11457163 3.38871856 10.55719119 -11.71615812 -6.63694341 5.38954689 +H 1.34571881 3.51873211 10.82040394 -1.94597044 0.18723649 -0.55067378 +O 9.76966967 1.49013128 6.65392717 0.03906740 -0.40938085 0.77512596 +H 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8.23431491 10.56449384 4.56527530 -1.22033308 0.81012382 -1.54519713 +O 8.47609598 10.27085340 10.65059097 1.35650386 1.11339060 -1.09942951 +H 8.35671360 10.97180154 11.27089250 0.34671380 1.30229985 0.01724028 +H 7.94676001 9.64303756 11.04943183 -1.61592819 -2.48019944 0.74528059 +O 11.83891132 9.14682809 7.17008662 0.30520077 -4.62110580 0.46586079 +H 12.09349847 9.99054824 7.05165676 1.25244616 4.36429371 -0.72540082 +H 10.90406685 9.12809522 7.19511670 -1.46244360 -0.00183423 0.01311777 +O 12.71369416 11.60533249 4.89048645 -8.02065982 -10.66606808 2.54415821 +H 13.02093445 10.88379937 4.32228242 -0.69983377 0.31360416 0.34861076 +H 13.25075611 12.19324838 4.75302737 9.01320857 10.48830199 -2.35200423 +O 0.68425259 4.24024407 3.00643036 -2.34792132 1.17766819 3.21634233 +H -0.87204700 5.03652877 3.73725584 2.27553447 -1.15219884 -2.51727990 +H 1.05583025 4.18038355 3.93642756 -0.51182132 0.04170895 -1.53815745 +O 8.72660847 5.21823764 3.06047523 -1.54867326 -2.25245111 2.76844584 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6.93460276 4.92033204 2.55482524 -1.02695525 -0.63929971 -0.21145525 +O 8.19224532 12.75893881 2.34936690 1.36077703 -1.20499388 0.95828108 +H 8.86684043 12.48175579 3.00975889 -1.15447169 0.38730330 -0.38516980 +H 8.63479622 12.42889099 1.55831047 -0.58833530 0.24885350 0.08107152 +O 5.63076303 3.60046353 12.75819797 -0.45055758 -0.28448025 -1.54248205 +H 5.98218962 3.01708799 13.42591377 -0.06526694 -1.05061969 0.20548104 +H 5.16375356 3.07007451 12.06947383 0.68615036 0.71026731 0.81565169 +O 0.71691341 5.48005336 10.40108392 -0.65783737 -2.00614455 0.42973422 +H 1.28164075 5.31468548 9.62144713 -0.32907706 0.94708135 -0.05542528 +H 0.26670161 4.60339193 10.53020316 0.81791426 1.67360832 -0.11187642 +O 1.44670699 6.62678038 7.75551537 1.59053597 0.18382721 0.42168049 +H 1.00437835 6.37155821 6.95465858 -0.07410948 -0.59837289 -0.27954681 +H 2.39578632 6.70054768 7.48812212 -1.71388208 0.08819913 0.49844078 +O 2.17738430 1.47534077 1.62064754 0.12377549 -0.80105297 1.84785714 +H 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4.81215234 2.57796822 2.27851181 0.42529444 +H 0.33309112 9.10851566 5.66272533 2.50120536 0.29573397 -4.05546820 +O 8.17811629 7.07917397 11.06901139 0.25107339 -8.88722450 -0.66530899 +H 8.29755158 7.87987201 11.30465400 0.41570782 9.69964174 1.67331521 +H 8.83810611 6.75298914 11.73646261 -0.20287600 -0.76202362 -0.98985937 +O 8.31945952 10.26672582 10.05082152 -6.65987765 -4.11820826 2.35796919 +H 8.97331088 10.82283815 10.21999947 5.27631550 4.22163861 0.45933122 +H 7.82092167 10.37679468 10.94973485 0.84319335 -0.22433751 -2.36554366 +O 1.25567402 8.49652222 0.05399301 1.70620991 -2.26556373 -2.54243043 +H 1.33744248 7.58639033 0.62314850 -0.07083544 2.35753210 -2.35375258 +H 1.75786319 8.38677086 11.46742891 -2.14051041 0.59016078 5.00355743 +192 +Lattice="12.579998 0.0 0.0 -1e-06 12.579998 0.0 -1e-06 -1e-06 12.579998" Properties=species:S:1:pos:R:3:force:R:3 TotEnergy=-30015.873618772126 cutoff=-1.0 nneightol=1.2 pbc="T T T" +O 7.23120659 1.90079925 5.61562856 -1.03724481 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0.32180536 0.44468984 2.37639727 -2.02632256 -0.66519072 0.65163587 +H 1.51269539 1.30981943 3.03357186 -1.46206308 -2.17720519 -3.37726255 +O 0.35372480 4.37544885 8.58272518 -2.20798644 -1.30706154 0.32338515 +H -0.05818092 3.61466665 9.06136597 1.29603665 0.53358623 0.35698690 +H 12.71226538 4.52900549 8.11551462 1.13409313 0.82022311 -0.75877374 +O 5.48783227 6.57650854 7.28449473 3.71066267 1.15517618 0.03478446 +H 6.29387499 7.01519645 6.76325518 -2.90584046 -1.41479077 1.47100023 +H 4.76127196 6.38066006 6.71938639 -0.85887708 0.19580598 -1.23820739 +O 2.92422268 11.81128827 1.02845591 0.28423136 1.15324785 0.30464541 +H 2.08115872 11.43398491 0.91270898 -1.51739322 -2.74573786 -1.24355014 +H 2.43066439 12.48408417 1.51171112 1.10472599 1.69295844 1.01102470 +O 12.63267713 6.06759882 4.50636200 0.82713424 -0.41819922 1.51471927 +H 12.55621102 5.51794245 3.75447527 0.76899645 -2.00229817 -1.54792764 +H 12.00512588 6.67080792 4.20719166 -1.68848987 2.50951002 0.08450445 +O 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1.53736555 1.45735796 +O 12.29643793 4.60503238 2.09146180 -2.99596792 1.73256372 -1.97936907 +H 12.07222555 5.57033099 1.45907386 0.41873658 -4.47707259 2.98041789 +H 11.47769495 3.93080241 2.19437618 2.41547963 2.90999537 -1.07196499 +O 2.13667470 0.07731808 5.30209106 -0.81002612 2.31048091 0.82025397 +H 3.06552358 0.08448473 5.26174659 1.72590456 0.53562768 -0.10720730 +H 1.94016474 12.42132375 5.09021380 -1.11459902 -2.77324866 -0.89384923 +O 12.10805084 7.34841934 0.53742708 -3.31540695 2.06629294 6.15660987 +H 12.39444155 6.91327692 13.06072858 2.92668183 -2.31405989 -5.71031775 +H 12.32548976 8.27797203 0.63901852 0.25264073 -0.10407569 -0.60837448 +O 1.56273968 6.90909642 7.90611920 1.44182849 -2.26983176 0.34731596 +H 2.16368920 7.35048313 8.51446132 -0.07707345 0.43843843 -0.14777468 +H 1.93795807 5.96795475 7.96009528 -1.45013830 1.97337840 -0.02123577 +192 +Lattice="13.213095 0.0 0.0 -1e-06 13.213095 0.0 -1e-06 -1e-06 13.213095" Properties=species:S:1:pos:R:3:force:R:3 TotEnergy=-29989.015164205746 cutoff=-1.0 nneightol=1.2 pbc="T T T" +O 5.15391086 2.60942045 12.94388625 3.01582712 -0.50074295 -2.60977277 +H 4.53819201 2.08667804 12.45979494 -0.71122376 -1.12411725 -0.19467161 +H 4.70880403 3.00293250 0.40535927 -1.78264881 1.67321237 3.16543449 +O 0.06208307 10.39891429 1.15664380 -0.57339205 0.32611258 0.62622822 +H 0.33507977 10.56576386 2.12435545 -0.81552828 0.19902243 -1.50245511 +H 12.41052854 10.84284105 0.90650702 2.03228752 -0.72634185 1.17751907 +O 8.27035188 9.32325577 10.44654024 1.03218488 -1.35602049 0.58348106 +H 7.38546174 9.66483966 10.27667435 -0.03700898 -0.91479858 0.54557271 +H 8.29606989 8.35269185 10.69969862 -1.05615270 2.05258381 -0.86104709 +O 9.97996469 2.32262757 1.16993673 0.44349014 -0.47359570 -0.14042441 +H 9.56884692 2.20309173 0.27751429 1.22790755 -0.14864577 1.36573926 +H 10.73552391 1.70329444 1.36753150 -1.55429884 0.67727491 -1.08253222 +O 9.94853156 7.19247082 8.71951749 -7.34317408 -6.42544444 4.89424954 +H 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1.41939087 0.84307984 3.10033286 0.90588714 0.53717034 1.81325009 +O 0.24280291 4.25562196 8.62622355 5.75495210 0.29734039 2.91112665 +H -0.05089626 3.47682128 8.99389588 -1.69907253 -1.89459980 0.70337161 +H 12.92584131 4.64278389 8.04158857 -3.79399727 1.78583184 -3.80565980 +O 5.49254194 6.46204751 7.21035700 -4.34816261 -7.65648874 2.61393796 +H 5.77708053 7.16818158 6.84316094 3.59886595 7.72117770 -3.16481742 +H 4.71355075 6.27456003 6.62905584 0.41095591 -0.13823692 0.84727112 +O 2.90027742 12.00406752 1.01469201 3.23794474 -0.28249433 -0.15603461 +H 2.13063150 11.59697149 0.67732037 -1.71599553 0.11393433 0.27606348 +H 2.82373193 12.83683370 1.47834650 -1.37765375 -0.22241124 0.03265250 +O 12.62209359 6.06188370 4.50149357 -0.50427359 1.53349861 4.70154020 +H 12.77280326 5.76723783 3.66121308 0.35759266 -0.98819844 -4.04683958 +H 12.39280110 6.99339435 4.57629277 -0.02528423 -0.47971595 -0.55843337 +O 6.77759588 11.86415307 6.08717837 -3.99376686 -1.06850428 1.20473162 +H 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0.18279928 -0.23148312 +H 10.26095779 10.22566167 0.12280404 0.47762256 1.08532444 1.54002407 +O 5.70151402 9.71997993 12.66993121 -3.24987466 4.60718070 -5.33272551 +H 6.28048681 10.12469466 0.00659514 2.66952007 4.06022474 2.07019587 +H 5.85068908 8.99061498 13.08438280 0.50263323 -8.93412143 2.92398217 +O 7.82891225 13.02686124 3.77950535 0.65332765 4.06422538 -5.66794597 +H 7.65973429 12.78597977 4.61521904 -1.38477057 -0.90938384 4.28462550 +H 7.61713553 0.82605092 3.64768202 0.66070672 -3.03914189 0.70874521 +O 1.12480850 10.95597914 3.90925431 1.14660926 -2.44641514 -0.07666053 +H 2.35416653 9.22705136 3.86744931 0.37867210 1.91206273 -0.24638524 +H 0.52487765 10.68795088 4.61619802 -0.10316295 -0.26909271 -0.02441057 +O 12.22505193 1.51513490 5.82714069 3.02582357 -3.81776455 6.91302849 +H 12.00205665 1.90101621 5.09412442 -1.54077998 3.16547563 -6.53569335 +H 13.01490183 0.94597306 5.65817441 -1.20267474 0.97092577 -0.01791905 +O 12.33205156 4.70310480 2.21990369 4.54689347 5.95976620 -3.52884966 +H 11.62427704 6.01748574 1.26993535 2.69486086 -1.96229181 1.83567011 +H 11.54844594 4.35815005 2.33748687 -6.49265308 -3.27704094 1.04847024 +O 2.17342606 0.03604596 5.23772195 1.41340237 -1.33820274 1.08278933 +H 3.09246929 -0.28874555 5.51688409 -2.35426166 0.77917288 -0.90773833 +H 1.62833120 12.42539842 5.15810724 0.99704818 0.67755773 -0.38857188 +O 12.06582250 7.30507973 0.44666684 -1.98024839 -5.46760559 -4.41460506 +H 12.37025815 7.11632221 12.68025016 -1.36771901 -0.31214892 2.73811711 +H 12.55203052 8.04105939 0.53615706 2.57064058 4.90425627 2.12636420 +O 1.63092416 6.82564517 7.83600322 -7.01895794 -3.19876113 -14.45834271 +H 2.02841563 6.91999747 8.52065270 7.93195675 1.86318606 13.25218670 +H 2.09573755 6.12295075 7.29163862 -1.04876849 1.15902769 1.86783975 +192 +Lattice="13.126156 0.0 0.0 -1e-06 13.126156 0.0 -1e-06 -1e-06 13.126156" Properties=species:S:1:pos:R:3:force:R:3 TotEnergy=-30025.769039380477 cutoff=-1.0 nneightol=1.2 pbc="T T T" +O 5.57927409 2.17707738 12.31167824 -3.36907102 -0.99799434 -1.76278961 +H 4.59666609 1.86990059 12.06629876 3.24067526 0.57240474 0.54949107 +H 5.43020487 2.45730317 0.07512041 0.16308920 0.54101671 1.20288043 +O 0.15525107 10.48956235 1.85186094 -2.88040711 -0.66709334 -5.04056589 +H 0.68957082 10.50882440 2.53908222 4.72640277 0.09332694 5.04945676 +H 12.45773115 10.58846557 2.28826280 -1.87888007 0.48504585 0.13353591 +O 8.50546531 9.90630322 9.31420684 0.41680465 -0.60714035 0.46243608 +H 7.56670494 10.04611184 9.22472298 -0.71264301 1.15668284 -0.33817414 +H 8.44132903 9.03051494 9.67896869 0.27058549 -1.05916089 -0.18394188 +O 10.70779503 2.23686911 1.82210001 -2.00930700 3.22287294 -1.90995443 +H 10.32482948 2.67242429 0.96914573 0.90068322 -0.58324966 2.31442498 +H 11.09187185 1.49590989 1.42274585 0.89056850 -2.38447212 -0.62723095 +O 9.51010825 6.31139076 9.61467366 -0.60291860 -0.50075478 -0.58272515 +H 10.26132821 6.80125010 9.91768053 0.67202986 0.51899264 0.50062622 +H 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1.54014381 9.21318691 4.57467349 3.01897930 2.71161932 0.39662149 +H 0.28596049 8.65040695 5.43369744 2.57792194 0.31906673 -4.04940554 +O 7.76736894 6.72367272 10.51258155 0.05000436 -9.47513300 -1.11735525 +H 7.88500503 7.51865565 10.74658372 0.50278801 10.34478300 1.88851142 +H 8.42767626 6.39600620 11.17913317 0.04011487 -0.74149079 -0.91657264 +O 7.90267955 9.75146597 9.54524561 -7.98060203 -5.48879148 1.92738651 +H 8.54340732 10.29694184 9.71103683 6.55250837 5.30367204 0.68266394 +H 7.41250270 9.86227568 10.43129993 0.51854527 -0.08674491 -1.79945869 +O 1.19144249 8.07360379 0.05215041 1.38805644 -1.88323038 -2.64182414 +H 1.27329033 7.16505944 0.61871399 -0.12677905 2.16281216 -2.18003855 +H 1.70082318 7.96221199 10.82162105 -2.08418267 0.86835417 4.76767412 +192 +Lattice="12.014932 0.0 0.0 -1e-06 12.014932 0.0 -1e-06 -1e-06 12.014932" Properties=species:S:1:pos:R:3:force:R:3 TotEnergy=-30015.044487833205 cutoff=-1.0 nneightol=1.2 pbc="T T T" +O 7.12653533 1.35968380 4.60495301 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-2.23043218 diff --git a/src/equisolve/numpy/__init__.py b/src/equisolve/numpy/__init__.py index b166d39..e69ed98 100644 --- a/src/equisolve/numpy/__init__.py +++ b/src/equisolve/numpy/__init__.py @@ -6,7 +6,7 @@ # Released under the BSD 3-Clause "New" or "Revised" License # SPDX-License-Identifier: BSD-3-Clause -from . import models, utils +from . import models, scripts, utils -__all__ = ["models", "utils", "preprocessing"] +__all__ = ["models", "utils", "preprocessing", "scripts"] diff --git a/src/equisolve/numpy/models/linear_model.py b/src/equisolve/numpy/models/linear_model.py index 70c68f3..4e46af2 100644 --- a/src/equisolve/numpy/models/linear_model.py +++ b/src/equisolve/numpy/models/linear_model.py @@ -39,6 +39,8 @@ def __init__( self, parameter_keys: Union[List[str], str] = None, ) -> None: + if parameter_keys is None: + self.paramater_keys = ["values", "positions"] if type(parameter_keys) not in (list, tuple, np.ndarray): self.parameter_keys = [parameter_keys] else: @@ -281,9 +283,12 @@ def fit( if type(alpha) is float: alpha_tensor = equistore.ones_like(X) + # We slice the first sample to just obtain the first sample in each block + # Assumes that the first sample in the first block is present in all blocks + # otherwise this results in an error samples = Labels( names=X.sample_names, - values=np.zeros([1, len(X.sample_names)], dtype=int), + values=np.array([[i for i in X.block(0).samples[0]]], dtype=int), ) alpha_tensor = equistore.slice(alpha_tensor, samples=samples) @@ -339,7 +344,7 @@ def predict(self, X: TensorMap) -> TensorMap: def forward(self, X: TensorMap) -> TensorMap: return self.predict(X) - def score(self, X: TensorMap, y: TensorMap, parameter_key: str) -> float: + def score(self, X: TensorMap, y: TensorMap, parameter_keys: str) -> float: r"""Return the weights of determination of the prediction. :param X: @@ -354,5 +359,7 @@ def score(self, X: TensorMap, y: TensorMap, parameter_key: str) -> float: :math:`\mathrm{RMSE}` for each block in ``self.predict(X)`` with respecy to `y`. """ + if parameter_keys is None: + parameter_keys = self.parameter_keys y_pred = self.predict(X) - return rmse(y, y_pred, parameter_key) + return np.mean([rmse(y, y_pred, parameter_key) for parameter_key in parameter_keys]) diff --git a/src/equisolve/numpy/scripts/__init__.py b/src/equisolve/numpy/scripts/__init__.py new file mode 100644 index 0000000..fbd672b --- /dev/null +++ b/src/equisolve/numpy/scripts/__init__.py @@ -0,0 +1,14 @@ +# -*- Mode: python; tab-width: 4; indent-tabs-mode:nil; coding:utf-8 -*- +# +# Copyright (c) 2023 Authors and contributors +# (see the AUTHORS.rst file for the full list of names) +# +# Released under the BSD 3-Clause "New" or "Revised" License +# SPDX-License-Identifier: BSD-3-Clause + +from .lode import LodeScript +from .multispectra import MultiSpectraScript +from .md_calculator import GenericMDCalculator + + +__all__ = ["MultiSpectraScript", "LodeScript", "GenericMDCalculator"] diff --git a/src/equisolve/numpy/scripts/base.py b/src/equisolve/numpy/scripts/base.py new file mode 100644 index 0000000..ca28a0f --- /dev/null +++ b/src/equisolve/numpy/scripts/base.py @@ -0,0 +1,242 @@ +# -*- Mode: python; tab-width: 4; indent-tabs-mode:nil; coding:utf-8 -*- +# +# Copyright (c) 2023 Authors and contributors +# (see the AUTHORS.rst file for the full list of names) +# +# Released under the BSD 3-Clause "New" or "Revised" License +# SPDX-License-Identifier: BSD-3-Clause + +from abc import ABCMeta, abstractmethod +from copy import deepcopy +from typing import List, Tuple, Dict, TypeVar + +from equistore import TensorMap + +from ...utils.metrics import rmse + +import numpy as np + +# Workaround for typing Self with inheritance for python <3.11 +# see https://peps.python.org/pep-0673/ +TEquiScript = TypeVar("TEquiScript", bound="EquiScript") + + +class EquiScriptBase(metaclass=ABCMeta): + """ + An EquiScript is a merge of a representation calculator and a ML model. + + EquiScript supports scikit-learn like transformers and estimators that + have a fit and predict function and can handle equistore objects. + For some applications (e.g. long-range interaction, multi-spectra) we want to apply transformers + seperately on different representations (e.g. because they are on different scales) + and join them together for the estimation. + + Workflow + ```python + hypers = ... + script = EquiScriptBase(hypers, estimator=Ridge(parameter_keys=["values", "positions"]) + Xi = script.compute(frames) # output is (X0, ... XN) + y = ase_to_tensormap(frames, energy="energy", forces="forces") + + script.fit(Xi, y, **estimator_fit_kwargs) + # fit logic: + # transformer_X[0].transform(X0), ..., transformer_X[N].transform(XN) | transformer_y.transform(y) + # X0_t, ..., XN_t | y_t + # + # join(X0_t, ..., XN_t) + # X_jt + # + # estimator.fit(X_jt, y_t) + + script.forward(Xi) + ``` + + COMMENT class name is too general, can we distinguish it to Hamiltonian learning and CG-NN applications where postprocessing happens after the join to compute errors? + Might be not important because these applications require gradient optimization, so they would be in any not within the Scikit scope + + COMMENT The logic is a bit unnecessary entangled with atomistic data, but I would not bother with it for now + """ + + def __init__( + self, + hypers, + *, + feature_aggregation="mean", + transformer_X=None, + transformer_y=None, # TODO to a basisclass that ensures that inverse_transform and so an are implemented + estimator=None + ): + self.hypers = hypers + self.feature_aggregation = feature_aggregation + self.transformer_X = transformer_X + self.transformer_y = transformer_y + self.estimator = estimator + + # FOR ALEX TO REMEMBER the reasoning for private and public member variables + # COMMENT it is easier for some classes (MultiSpectra) to assume that the init paramaters are never changed + # so we do not allow public setting, this is because unlike scikit estimators we have a compute and a fit function + # that both rely on the same member variables. + # For example in MultiSpectra: spectra values may not change between compute and fit + # COMMENT I don't know if just keeping the private ones (e.g. _hypers) is the better solution, + # the idea is that if during compute or fit the default values for None objects changes depending on the given arguments, + # then one needs to know that the input argument was None, otherwise you overwrite them with one fit or compute call + # COMMENT I changed code such that _join and fit are completetly independent, so we can actually keep it this way + + def fit(self, X: Dict[str, TensorMap], y: TensorMap, **kwargs) -> TEquiScript: + """TODO""" + # X : (X0, X1, ..., XN) + self._set_and_check_fit_parameters() + if "transformer_X" not in kwargs.keys(): + kwargs["transformer_X"] = {} + if "transformer_y" not in kwargs.keys(): + kwargs["transformer_y"] = {} + if "estimator" not in kwargs.keys(): + kwargs["estimator"] = {} + + X = self._move(X) + X = self._aggregate(X) + + # TODO move to check and set? + if self.transformer_X is None: + self._transformer_X = None + else: + if isinstance(self.transformer_X, list): + if len(self.transformer_X) != len(X): + raise ValueError(f"List of transformers and list of descriptors have different length {len(self.transformer_X)} != {len(X)}") + self.transformer_X = deepcopy(self.transformer_X) + for i, (descriptor_key, Xi) in enumerate(X.items()): + self.transformer_X.append( + self.transformer_X[i].fit(Xi, **kwargs["transformer_X"]) + ) + else: + self._transformer_X = [] + for descriptor_key, Xi in X.items(): + self._transformer_X.append( + deepcopy(self.transformer_X).fit(Xi, **kwargs["transformer_X"]) + ) + + if self.transformer_y is None: + self._transformer_y = None + else: + self._transformer_y = deepcopy(self.transformer_y).fit( + y, **kwargs["transformer_y"] + ) + + if self.transformer_X is not None: + X = {descriptor_key: + self._transformer_X[i].transform(Xi) + for i, (descriptor_key, Xi) in enumerate(X.items()) + } + + X = self._join(X) + + if self.transformer_y is not None: + y = self._transformer_y.transform(y) + + + # TODO move to check and set? + if self.estimator is None: + self.estimator = None + else: + self.estimator = deepcopy(self.estimator).fit(X, y, **kwargs["estimator"]) + + def compute_features(self, X: Dict[str, TensorMap]) -> TensorMap: + """Computes the feature that are used to fit the model""" + # TODO check if is fitted + + X = self._move(X) + X = self._aggregate(X) + + if self._transformer_X is not None: + X = {descriptor_key: + self._transformer_X[i].transform(Xi) + for i, (descriptor_key, Xi) in enumerate(X.items()) + } + # COMMENT we cannot do this because the join funciton also aggregates at tho moment + # maybe we can split this better + #if len(X) > 1: + # # COMMENT I removed the error because it should be thrown in the _join function right? + + X = self._join(X) + return X + + def forward(self, X: Dict[str, TensorMap]) -> TensorMap: + """TODO""" + # TODO check if is fitted + + X = self._move(X) + X = self._aggregate(X) + + if self._transformer_X is not None: + X = {descriptor_key: + self._transformer_X[i].transform(Xi) + for i, (descriptor_key, Xi) in enumerate(X.items()) + } + # COMMENT we cannot do this because the join funciton also aggregates at tho moment + # maybe we can split this better + #if len(X) > 1: + # # COMMENT I removed the error because it should be thrown in the _join function right? + + X = self._join(X) + + if self.estimator is None: + return X + else: + y_pred = self.estimator.predict(X) + if self._transformer_y is not None: + y_pred = self._transformer_y.inverse_transform(y_pred) + return y_pred + + def score(self, X: Dict[str, TensorMap], y: TensorMap, parameter_keys: List[str] = None) -> List[float]: + """TODO""" + # TODO(low-prio) add support for more error functions + if self.estimator is None: + raise ValueError("Cannot use score function without setting an estimator.") + + y_pred = self.forward(X) + if parameter_keys is None: + parameter_keys = self.estimator.parameter_keys + return np.mean([rmse(y, y_pred, parameter_key) for parameter_key in parameter_keys]) + + + def _set_and_check_fit_parameters(self) -> None: + # TODO check if parameter_keys are consistent over the transformers and estimators + # and if not throw warning + + if self.feature_aggregation not in ["sum", "mean"]: + raise ValueError( + "Only 'sum' and 'mean' are supported for feature_aggregation" + ) + + # TODO would rename to _fit_* + # we save all member variables, to have the member variables used in the last fit + self._feature_aggregation = self.feature_aggregation + + @abstractmethod + def _set_and_check_compute_parameters(self) -> None: + # COMMENT I dont like naming yet, I mean the parameters relevant for the compute paramaters but not the actual kwargs + """TODO""" + raise NotImplemented("Only implemented in child classes") + + @abstractmethod + def compute(self, **kwargs) -> Tuple[TensorMap, ...]: + """TODO""" + self._set_and_check_compute_parameters() + raise NotImplemented("Only implemented in child classes") + + @abstractmethod + def _move(self, X: Dict[str, TensorMap]) -> Dict[str, TensorMap]: + """TODO""" + raise NotImplemented("Only implemented in child classes") + + @abstractmethod + def _aggregate(self, X: Dict[str, TensorMap]) -> Dict[str, TensorMap]: + """TODO""" + raise NotImplemented("Only implemented in child classes") + + @abstractmethod + def _join(self, X: Dict[str, TensorMap]) -> TensorMap: + """TODO""" + raise NotImplemented("Only implemented in child classes") + + diff --git a/src/equisolve/numpy/scripts/lode.py b/src/equisolve/numpy/scripts/lode.py new file mode 100644 index 0000000..f9f5136 --- /dev/null +++ b/src/equisolve/numpy/scripts/lode.py @@ -0,0 +1,122 @@ +# -*- Mode: python; tab-width: 4; indent-tabs-mode:nil; coding:utf-8 -*- +# +# Copyright (c) 2023 Authors and contributors +# (see the AUTHORS.rst file for the full list of names) +# +# Released under the BSD 3-Clause "New" or "Revised" License +# SPDX-License-Identifier: BSD-3-Clause + +from typing import List, Set, Tuple + +from equistore import TensorMap +from equistore.operations import join, mean_over_samples, sum_over_samples + +from rascaline import AtomicComposition, LodeSphericalExpansion, SphericalExpansion + +from .base import EquiScriptBase + + +class LodeScript(EquiScriptBase): + def __init__( + self, + hypers, + *, + feature_aggregation="mean", + transformer_X=None, + transformer_y=None, + estimator=None + ): + super().__init__( + hypers, + feature_aggregation=feature_aggregation, + transformer_X=transformer_X, + transformer_y=transformer_y, + estimator=estimator, + ) + + def _set_and_check_compute_parameters(self): + if "SphericalExpansion" not in self.hypers.keys(): + raise ValueError("No SphericalExpansion given") + if "LodeSphericalExpansion" not in self.hypers.keys(): + raise ValueError("No LodeSphericalExpansion given") + valid_hyper_keys = set(["SphericalExpansion", "LodeSphericalExpansion"]) + for key in self.hypers.keys(): + if key not in valid_hyper_keys: + raise ValueError( + f"Only SphericalExpansion and LodeSphericalExpansion as keys in hypers are allowed, but {key} found" + ) + self._hypers = self.hypers + + def _set_and_check_fit_parameters(self): + super()._set_and_check_fit_parameters() + + def compute(self, **kwargs) -> Tuple[TensorMap, ...]: + self._set_and_check_compute_parameters() + pass + # input **kwargs same as for a rascaline calculator + # outputs the (X0, X1, ..., XN), y TensorMaps + + # descriptor_co = Composition().compute(**kwargs) + + # descriptor_sr = SphericalExpansion( + # **self._hypers["SphericalExpansion"] + # ).compute(**kwargs) + # descriptor_ps_sr = compute_power_spectrum(descriptor_sr) + + # descriptor_lr = LodeSphericalExpansion( + # **self._hypers["LodeSphericalExpansion"] + # ).compute(**kwargs) + # descriptor_ps_lr = compute_power_spectrum(descriptor_sr, descriptor_lr) + + # return descriptor_co, descriptor_ps_sr, descriptor_ps_lr + + def join(self, X: Tuple[TensorMap, ...]) -> TensorMap: + # inputs the (X0, X1, ..., XN) TensorMaps + # outputs the X, y TensorMaps where X joined X0, X1, ..., XN in a way defined here + + pass + + # descriptor_co, descriptor_ps_sr, descriptor_ps_lr = X + + # # moving keys to properties + # descriptor_co = descriptor_co.keys_to_properties(["species_center"]) + + # keys_to_move_to_samples = ["species_center", "spherical_harmonics_l"] + # keys_to_move_to_properties = ["species_neighbor_1", "species_neighbor_2"] + + # descriptor_ps_sr = descriptor_ps_sr.keys_to_samples(keys_to_move_to_samples) + # descriptor_ps_sr = descriptor_ps_sr.keys_to_properties( + # keys_to_move_to_properties + # ) + + # descriptor_ps_lr = descriptor_ps_lr.keys_to_samples(keys_to_move_to_samples) + # descriptor_ps_lr = descriptor_ps_lr.keys_to_properties( + # keys_to_move_to_properties + # ) + + # # aggregation + # samples_names = ["center", "species_center", "spherical_harmonics_l"] + # if self._feature_aggregation == "sum": + # descriptor_co = sum_over_samples(descriptor_co, samples_names=["center"]) + # descriptor_ps_sr = sum_over_samples( + # descriptor_ps_sr, samples_names=samples_names + # ) + # descriptor_ps_lr = sum_over_samples( + # descriptor_ps_lr, samples_names=samples_names + # ) + # elif self._feature_aggregation == "mean": + # descriptor_co = mean_over_samples(descriptor_co, samples_names=["center"]) + # descriptor_ps_sr = mean_over_samples( + # descriptor_ps_sr, samples_names=samples_names + # ) + # descriptor_ps_lr = mean_over_samples( + # descriptor_ps_lr, samples_names=samples_names + # ) + + # # joining + # X_sr = join([descriptor_co, descriptor_ps_sr], axis="properties") + # X_lr = join( + # [descriptor_co, descriptor_ps_sr, descriptor_ps_lr], axis="properties" + # ) + + # return X_lr diff --git a/src/equisolve/numpy/scripts/md_calculator.py b/src/equisolve/numpy/scripts/md_calculator.py new file mode 100644 index 0000000..7a0e6be --- /dev/null +++ b/src/equisolve/numpy/scripts/md_calculator.py @@ -0,0 +1,101 @@ +import ase.io +import numpy as np +import pickle + +class GenericMDCalculator: + + """Generic MD driver for a equiscript + + Initialize with equiscript JSON and a structure template, and calculate + energies and forces based on position/cell updates _assuming the + order and identity of atoms does not change_. + """ + def __init__( + self, script_filename, is_periodic, structure_template=None, atomic_numbers=None + ): + """Initialize a equiscript and structure template + + Parameters + ---------- + script_filename Filename for the equiscript pickle object + is_periodic Specify whether the simulation is periodic or not + This helps avoid confusion if a geometry's "periodic" + flags have been set improperly, which can happen e.g. + if ASE cannot read the cell information in a file. If + using a structure template and this is set to True, + will raise an error unless at least one of the PBC + flags in the structure template is on. If set to + False, will raise an error if all PBC flags are not + off. Set to None to skip PBC checking. If not using a + structure template, this setting will determine the PBC + flags of the created atomic structure. + structure_template + Filename for an ASE-compatible Atoms object, used + only to initialize atom types and numbers + atomic_numbers + List of atom types (atomic numbers) to initialize + the atomic structure in case no structure template + is given + """ + self.model_filename = script_filename + with open(script_filename, "rb") as file: + self.script = pickle.load(file) + # Structure initialization + self.is_periodic = is_periodic + if structure_template is not None: + self.template_filename = structure_template + self.atoms = ase.io.read(structure_template, 0) + if (is_periodic is not None) and ( + is_periodic != np.any(self.atoms.get_pbc()) + ): + raise ValueError( + "Structure template PBC flags: " + + str(self.atoms.get_pbc()) + + " incompatible with 'is_periodic' setting" + ) + elif atomic_numbers is not None: + self.atoms = ase.Atoms(numbers=atomic_numbers, pbc=is_periodic) + else: + raise ValueError( + "Must specify one of 'structure_template' or 'atomic_numbers'" + ) + + def calculate(self, positions, cell_matrix): + """Calculate energies and forces from position/cell update + + positions Atomic positions (Nx3 matrix) + cell_matrix Unit cell (in ASE format, cell vectors as rows) + (set to zero for non-periodic simulations) + + The units of positions and cell are determined by the model JSON + file; for now, only Å is supported. Energies, forces, and + stresses are returned in the same units (eV and Å supported). + + Returns a tuple of energy, forces, and stress - forces are + returned as an Nx3 array and stresses are returned as a 3x3 array + + Stress convention: The stresses have units eV/Å^3 + (volume-normalized) and are defined as the gradients of the + energy with respect to the cell parameters. + """ + # Quick consistency checks + if positions.shape != (len(self.atoms), 3): + raise ValueError( + "Improper shape of positions (is the number of atoms consistent?)" + ) + if cell_matrix.shape != (3, 3): + raise ValueError("Improper shape of cell info (expected 3x3 matrix)") + + # Update ASE Atoms object (we only use ASE to handle any + # re-wrapping of the atoms that needs to take place) + self.atoms.set_cell(cell_matrix) + self.atoms.set_positions(positions) + + Xi = self.script.compute(systems=self.atoms, gradients=["positions"]) + y_pred = self.script.forward(Xi) # implicitely done in score function + energy = y_pred.block().values[0][0] + forces = np.array(y_pred.block().gradient("positions").data.reshape(-1, 3)) + + # Not implemented + stress_matrix = np.zeros((3, 3)) + return energy, forces, stress_matrix diff --git a/src/equisolve/numpy/scripts/multispectra.py b/src/equisolve/numpy/scripts/multispectra.py new file mode 100644 index 0000000..32aa4a4 --- /dev/null +++ b/src/equisolve/numpy/scripts/multispectra.py @@ -0,0 +1,130 @@ +# -*- Mode: python; tab-width: 4; indent-tabs-mode:nil; coding:utf-8 -*- +# +# Copyright (c) 2023 Authors and contributors +# (see the AUTHORS.rst file for the full list of names) +# +# Released under the BSD 3-Clause "New" or "Revised" License +# SPDX-License-Identifier: BSD-3-Clause + +from copy import deepcopy +from typing import List, Set, Dict, Tuple, Union + +from equistore import TensorMap +from equistore.operations import join, mean_over_samples, sum_over_samples + +from rascaline import AtomicComposition, SoapRadialSpectrum, SoapPowerSpectrum + +from .base import EquiScriptBase + +class MultiSpectraScript(EquiScriptBase): + def __init__( + self, + hypers: dict, + *, + feature_aggregation="mean", + transformer_X=None, + transformer_y=None, + estimator=None + ): + #TODO think about the order of hypers, need to be mention that join orders them + super().__init__( + hypers, + feature_aggregation=feature_aggregation, + transformer_X=transformer_X, + transformer_y=transformer_y, + estimator=estimator + ) + + def _set_and_check_compute_parameters(self): + valid_hyper_keys = set(["Composition", "SoapRadialSpectrum", "SoapPowerSpectrum"]) + for key in self.hypers.keys(): + if key not in valid_hyper_keys: + raise ValueError( + f"Only Composition, SoapRadialSpectrum and SoapPowerSpectrum as keys in hypers are allowed, but {key} found" + ) + self._hypers = self.hypers + + # remove + #if self.spectra_nu is None: + # self._spectra_nu = set([0, 1, 2]) + #else: + # # checks if only nu=0,1,2 are used by checking ∅ == spectra_nu - {0,1,2} + # spectra_nu_besides_nu012 = set(self.spectra_nu).difference(set([0, 1, 2])) + # if len(spectra_nu_besides_nu012) != 0: + # raise ValueError( + # f"Only spectra_nu 0, 1, 2 are supported but in addition {spectra_nu_besides_nu012} were given" + # ) + # self._spectra_nu = self.spectra_nu + + def _set_and_check_fit_parameters(self) -> None: + super()._set_and_check_fit_parameters() + # TODO for now spectra is just ignored in compute and join + + # TODO switch dict to OrderedDict + def compute(self, **kwargs) -> Dict[str, TensorMap]: + # input **kwargs same as for a rascaline calculator + # outputs the (X0, X1, ..., XN), y TensorMap + self._set_and_check_compute_parameters() + + descriptors = {} + if "Composition" in self._hypers.keys(): + descriptors["Composition"] = AtomicComposition(**self._hypers["Composition"]).compute(**kwargs) + if "SoapRadialSpectrum" in self._hypers: + descriptors["SoapRadialSpectrum"] = SoapRadialSpectrum( + **self._hypers["SoapRadialSpectrum"] + ).compute(**kwargs) + if "SoapPowerSpectrum" in self._hypers: + descriptors["SoapPowerSpectrum"] = SoapPowerSpectrum(**self._hypers["SoapPowerSpectrum"]).compute( + **kwargs + ) + + return descriptors + + def _move(self, X: Dict[str, TensorMap]) -> Dict[str, TensorMap]: + # inputs the (X0, X1, ..., XN) TensorMaps + # outputs the X, y TensorMaps where X joined X0, X1, ..., XN in a way defined here + X_moved = {} + if "Composition" in X.keys(): + keys_to_move_to_samples = ["species_center"] + X_moved["Composition"] = X["Composition"].keys_to_properties(keys_to_move_to_samples) + + if "SoapRadialSpectrum" in X.keys(): + keys_to_move_to_samples = ["species_center"] + keys_to_move_to_properties = ["species_neighbor"] + X_moved["SoapRadialSpectrum"] = X["SoapRadialSpectrum"].keys_to_samples(keys_to_move_to_samples) + X_moved["SoapRadialSpectrum"] = X_moved["SoapRadialSpectrum"].keys_to_properties(keys_to_move_to_properties) + + if "SoapPowerSpectrum" in X.keys(): + keys_to_move_to_samples = ["species_center"] + keys_to_move_to_properties = ["species_neighbor_1", "species_neighbor_2"] + X_moved["SoapPowerSpectrum"] = X["SoapPowerSpectrum"].keys_to_samples(keys_to_move_to_samples) + X_moved["SoapPowerSpectrum"] = X_moved["SoapPowerSpectrum"].keys_to_properties(keys_to_move_to_properties) + return X_moved + + def _aggregate(self, X: Dict[str, TensorMap]) -> Dict[str, TensorMap]: + if self.feature_aggregation == "sum": + aggregation_function = sum_over_samples + elif self.feature_aggregation == "mean": + aggregation_function = mean_over_samples + else: + raise ValueError("Invalid aggregation_function.") # TODO make error message nice + + if "Composition" in X.keys(): + sample_names = ["center"] + X["Composition"] = aggregation_function(X["Composition"], sample_names=sample_names) + if "SoapRadialSpectrum" in X.keys(): + sample_names = ["center", "species_center"] + X["SoapRadialSpectrum"] = aggregation_function( + X["SoapRadialSpectrum"], sample_names=sample_names + ) + if "SoapPowerSpectrum" in X.keys(): + sample_names = ["center", "species_center"] + X["SoapPowerSpectrum"] = aggregation_function( + X["SoapPowerSpectrum"], sample_names=sample_names + ) + return X + + def _join(self, X: Dict[str, TensorMap]) -> TensorMap: + # joining + # we do this to join them always in the same order + return join(list(X.values()), axis="properties") diff --git a/src/equisolve/numpy/scripts/soap.py b/src/equisolve/numpy/scripts/soap.py new file mode 100644 index 0000000..4640904 --- /dev/null +++ b/src/equisolve/numpy/scripts/soap.py @@ -0,0 +1 @@ +# TODO diff --git a/src/equisolve/utils/metrics.py b/src/equisolve/utils/metrics.py index fd4f648..b79ad40 100644 --- a/src/equisolve/utils/metrics.py +++ b/src/equisolve/utils/metrics.py @@ -14,8 +14,8 @@ from equistore.operations.equal_metadata import _check_maps -def rmse(y_true: TensorMap, y_pred: TensorMap, parameter_key: str) -> List[float]: - """Mean squared error regression loss. +def rmse(y_true: TensorMap, y_pred: TensorMap, parameter_key: str) -> float: + """Root mean squared error regression loss. :param y_true: Ground truth (correct) target values. :param y_pred: Estimated target values. @@ -45,4 +45,37 @@ def rmse(y_true: TensorMap, y_pred: TensorMap, parameter_key: str) -> List[float loss.append(np.sqrt(np.mean((y_pred_values - y_true_values) ** 2))) - return loss + return loss[0] + +def rmspe(y_true: TensorMap, y_pred: TensorMap, parameter_key: str) -> float: + """Root mean squared percentage error regression loss. + + :param y_true: Ground truth (correct) target values. + :param y_pred: Estimated target values. + :param parameter_key: Parameter to perform the rmse for. Examples are ``"values"``, + ``"positions"`` or ``"cell"``. + + :returns loss: A non-negative floating point value (the best value is 0.0), or + a tuple of floating point values, one for each block in + ``y_pred``. + """ + + _check_maps(y_true, y_pred, "rmspe") + + loss = [] + for key, y_pred_block in y_pred: + y_true_block = y_true.block(key) + + if parameter_key == "values": + y_pred_values = y_pred_block.values + y_true_values = y_true_block.values + else: + y_pred_values = y_pred_block.gradient(parameter_key).data + y_true_values = y_true_block.gradient(parameter_key).data + + y_pred_values = y_pred_values.flatten() + y_true_values = y_true_values.flatten() + + loss.append(np.sqrt(np.mean(((y_true_values - y_pred_values)/ y_true_values) ** 2))) + + return loss[0] diff --git a/tests/equisolve_tests/numpy/models/linear_model.py b/tests/equisolve_tests/numpy/models/linear_model.py index cfc7719..13bab48 100644 --- a/tests/equisolve_tests/numpy/models/linear_model.py +++ b/tests/equisolve_tests/numpy/models/linear_model.py @@ -251,6 +251,14 @@ def test_approx_ref_numpy_solver_regularization_primal( ridge_class = self.equisolve_solver_from_numpy_arrays( X, y, property_w, sample_w, solver ) +<<<<<<< HEAD:tests/numpy/models/test_linear_model.py +<<<<<<< HEAD + w_solver = ridge_class.coef.block().values[0, :] +======= + w_solver = ridge_class.weights.block().values[0, :] +>>>>>>> main + w_exact_with_regularization = self.numpy_solver(X, y, sample_w, property_w) +======= # checks if certain solvers are used if auto solver # is use if solver == "auto": @@ -258,6 +266,7 @@ def test_approx_ref_numpy_solver_regularization_primal( w_solver = ridge_class.weights.block().values[0, :] w_ref = numpy_solver(X, y, sample_w, property_w) +>>>>>>> main:tests/equisolve_tests/numpy/models/linear_model.py # Check that the two approaches yield the same result assert_allclose(w_solver, w_ref, atol=1e-13, rtol=1e-8) @@ -354,9 +363,16 @@ def test_predict(self, num_properties, num_targets, mean, solver): ridge_class = self.equisolve_solver_from_numpy_arrays( X, y, property_w, sample_w, solver ) +<<<<<<< HEAD:tests/numpy/models/test_linear_model.py +<<<<<<< HEAD + w_solver = ridge_class.coef.block().values[0, :] +======= +======= if solver == "auto": assert_equal(ridge_class._used_auto_solver, "cholesky_dual") +>>>>>>> main:tests/equisolve_tests/numpy/models/linear_model.py w_solver = ridge_class.weights.block().values[0, :] +>>>>>>> main # Generate new data X_validation = self.rng.normal(mean, 1, size=(50, num_properties)) @@ -395,7 +411,11 @@ def test_infinite_regularization( ridge_class = self.equisolve_solver_from_numpy_arrays( X, y, property_w, sample_w, solver ) +<<<<<<< HEAD + w_solver = ridge_class.coef.block().values[0, :] +======= w_solver = ridge_class.weights.block().values[0, :] +>>>>>>> main w_zeros = np.zeros((num_properties,)) # Check that the two approaches yield the same result @@ -572,7 +592,15 @@ def test_parameter_keys(self, parameter_keys): clf.fit(X=X, y=y, alpha=alpha) assert_allclose( +<<<<<<< HEAD:tests/numpy/models/test_linear_model.py +<<<<<<< HEAD + clf.coef.block().values, w_exact.reshape(1, -1), atol=1e-15, rtol=1e-8 +======= + clf.weights.block().values, w_exact.reshape(1, -1), atol=1e-15, rtol=1e-8 +>>>>>>> main +======= clf.weights.block().values, w_exact.reshape(1, -1), atol=1e-15, rtol=1e-10 +>>>>>>> main:tests/equisolve_tests/numpy/models/linear_model.py ) # Test prediction