From 6159e1b611010a9a71154004ab39c45970703238 Mon Sep 17 00:00:00 2001 From: tostenzel Date: Sat, 6 Jan 2024 18:53:44 +0100 Subject: [PATCH] Move and add images --- README.md | 31 ++++++++++--------- edugrad-dependencies.png | Bin 222980 -> 0 bytes img/edugrad-code-i.png | Bin 0 -> 218934 bytes img/edugrad-code-ii.png | Bin 0 -> 205308 bytes img/edugrad-dependencies.png | Bin 0 -> 183268 bytes edugrad-header.png => img/edugrad-header.png | Bin 6 files changed, 17 insertions(+), 14 deletions(-) delete mode 100644 edugrad-dependencies.png create mode 100644 img/edugrad-code-i.png create mode 100644 img/edugrad-code-ii.png create mode 100644 img/edugrad-dependencies.png rename edugrad-header.png => img/edugrad-header.png (100%) diff --git a/README.md b/README.md index bc4f224..17225ab 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,6 @@

-drawing +drawing

**edugrad** is the most simple and accesible implementation of a deep learning framework. Its purpose is to reveal the @@ -34,21 +34,21 @@ relatively minor. The autograd mechanism is inspired by Andrej Karpathy's [micrograd](https://github.com/karpathy/micrograd). ## The Code +

-drawing +drawing

-### Low-level (`data.py`), Mid-level (`function.py`) and High-level (`tensor.py) Operations +### 1. Low-level (`data.py`), Mid-level (`function.py`) and High-level (`tensor.py`) Operations The computation processes are structured across different levels of operations, namely low-level, mid-level, and high-level operations. #### 1. Low-Level Operations -- **Module**: `data.py` (TensorData class) -- **Purpose**: Direct manipulation and execution of basic tensor operations. +- **Module**: `data.py` (`TensorData` class) +- **Purpose**: Execution of most basic tensor operations. - **Characteristics**: - - Core tensor data manipulation using NumPy arrays. - Implement elemental tensor operations like addition, multiplication, reshaping, etc. - - Immediate execution of operations using CPU, leveraging NumPy's capabilities. Using a different backend like PyTorch or Jax would only require reimpleneting 17 operations in the module. + - Immediate execution of operations using CPU, leveraging `numpy.array`'s capabilities. Using a different backend like PyTorch or Jax would only require reimpleneting 17 operations in the module (enumerated in `ops.py`). - Operations at this level do not involve gradient computations or the autograd mechanism. - Acts as the foundational building block for higher-level operations. @@ -58,21 +58,24 @@ The computation processes are structured across different levels of operations, - **Characteristics**: - Compose low-level ops from `data.py` to define more complex operations. - Each operation (e.g., `Add`, `Mul`, `Sin`) encapsulates a forward pass and a corresponding backward pass for gradient computation. - - Serves as the backbone of edugrad's autograd system, allowing for automatic differentiation. - - Mid-level operations are used as nodes to build computational graphs during the forward pass, storing necessary information for the backward pass. + - Serves as the backbone of edugrad's autograd system, allowing for automatic differentiation of different models defined with `edugrad.Tensor`. + - Mid-level operations are used as nodes to build complex computational graphs during the forward pass, storing necessary information for the backward pass. #### 3. High-Level Operations (High-Level Ops) -- **Module**: `tensor.py` (Tensor class) +- **Module**: `tensor.py` (`Tensor` class) - **Purpose**: Provide a user-friendly interface for tensor operations and enable building and training neural network models. - **Characteristics**: - High-level abstraction for tensor operations. - - Utilizes mid-level ops from `function.py` to implement tensor methods, enabling automatic differentiation without defining a backward function. + - Utilizes mid-level ops from `function.py` to implement tensor methods and matrix algebra, enabling automatic differentiation without defining a backward function. - Includes a broad range of operations commonly used in neural networks, like matrix multiplication, activation functions, and loss functions. - Facilitates the construction and manipulation of larger computational graphs through tensor operations. - This level is where most users interact with the edugrad library, building and training models using a familiar, PyTorch-like API. +

+drawing +

-### Understanding Computational Graphs in edugrad: Forward and Backward Passes +### II. Computational Graphs in edugrad: Forward and Backward Passes In edugrad, the handling of the computational graph, particularly the relationships between nodes (tensors) during the forward and backward passes, is crucial for understanding how automatic differentiation works. Let's delve into the details of how the parents of each node are stored in `Tensor._ctx` and how they are utilized during the backward pass by functions in `autograd.py`. @@ -93,7 +96,7 @@ Consider an operation `z = x + y`, where `x` and `y` are tensors. The `Add` func ```python class Add(Function): def forward(self, x: TensorData, y: TensorData) -> TensorData: - return x.elementwise(BinaryOps.ADD, y) + return x.elementwise(ops.BinaryOps.ADD, y) def backward(self, grad_output: TensorData) -> Tuple[Optional[TensorData], Optional[TensorData]]: return grad_output if self.needs_input_grad[0] else None, grad_output if self.needs_input_grad[1] else None @@ -112,7 +115,7 @@ z = x + y # Internally calls Add.apply(x, y) During the backward pass, gradients are computed in reverse order, starting from the final output tensor and propagating through its ancestors. #### Backward Function in autograd.py: -- When `backward()` is called on the final output tensor, `autograd.py` starts traversing the computational graph in reverse. +- When `backward()` is called on the final output tensor, usually the cost/loss, `autograd.ollect_backward_graph()` starts traversing the computational graph in reverse. - It begins with the tensor on which `backward()` was called and recursively visits the parent tensors stored in `_ctx`. #### Gradient Computation: diff --git a/edugrad-dependencies.png b/edugrad-dependencies.png deleted file mode 100644 index c33cca06678c6ebe16a68775239fd44a6d764b3d..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 222980 zcmeFY1zc6%wl7Y%AR#3JB8_wl$OfdPOB$rRyEaNFEiJ7Q(kR_69nvA8fJk?4;=i_1 zzw^#H_q=!S{eSL#?;5bySZmEW)|g{_N6fKa%gc)2LL)|lfq}UtDe*)R1_p@|_@9J= z1W=Mr_K$#Hunvmi!Y~EBBug+b6!#rPpE+8&8k<=f!BDY_{5hgxV==XHaHL{?LdC|W zZ)?kBXr^ysuW#kRWNqXKkbvt}Hil-#W=4j8?qOqL<6vZAWn|$}X62${7h-1tesFR! zakH{%{JCG>#K`($Kp7i%GfPW-DmF1rCKg~Q+Gnh+RP4gQ(Ni;PCs*LND-V}07Y7}1 zBxGxAX{2WKT-pqnSB#ULn~9wZ`iQiIvdmK|HWA?1(#*mL_$6*+U||D&M8wqI#tNW_ zv9j_qu|WRI8E?4ndGLcqw-f9xU`QUgw`^#P84OH&>Y z1S9L8vCS@|rz`VB|EU72iG;3`I)|dUm^-Jj-QSLOIi{7XxV^rusf>-GktHy&q3fSv zSvk3ZNue)g==O)g!^QrGU}Aqc&&9M*f|8m01w*VC&zU%x85%iUjP~bAM;jYUM>E^M z5)Evut&I#WmhxgmeS3Qwm%rX-Y-4%xb{F^90x$lT(V+w-1ARbnzXfySHZ?OtN7IY9 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