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Support intersection between an Hpolytope and an ellipsoid #287

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@TolisChal TolisChal commented Nov 11, 2023

This PR:
i) Provides a new C++ class that represents the intersection between an Hpolytope and an ellipsoid,
ii) Implements C++ examples on how to sample from the intersection between an Hpolytope and an ellipsoid,
iii) Exposes to R the new class using a new Rcpp module,
iv) Implements R example on how to sample from the intersection between an Hpolytope and an ellipsoid,
v) Provides the Dirichlet's distribution oracles in C++,
vi) Provides C++ examples to sample from the Dirichlet distribution,
vii) Implements R examples on how to sample from the Dirichlet distribution.

Apostolos Chalkis and others added 19 commits October 16, 2023 16:10
* initialize nuts sampler class

* implement the burnin of nuts sampler

* add tests and resolve bugs

* implement e0 estimation in burnin of nuts

* optimize leapfrog

* integrate nuts into the R interface

* document random walk in sample_points.cpp in R interface

* fix burnin for the non-truncated case

* resolve bugs in hmc and nuts pipelines

* improve the preprocess in burin step of nuts

* split large lines in sample_points.cpp

* Add NUTS C++ example and update CMake (#29)

* resolve PR comments

* fix minor bug

* fix compiler bug

* fix error in building the C++ examples

* resolve warnings in sample_points

* fix lpsolve cran warning

* fix cran warning on mac

* improve lpsolve cmake for cran check

* fix R warning in mac test

* remove lpsolve header

* resolve PR comments

---------

Co-authored-by: Marios Papachristou <[email protected]>
Co-authored-by: Apostolos Chalkis <[email protected]>
@TolisChal TolisChal changed the title Support intersection between an Hpolytope and adn ellipsoid Support intersection between an Hpolytope and and ellipsoid Nov 12, 2023
@TolisChal TolisChal changed the title Support intersection between an Hpolytope and and ellipsoid Support intersection between an Hpolytope and an ellipsoid Nov 12, 2023
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Thanks for this PR! I have a few comments.


/// This class represents a polytope intersected with an ellipsoid
/// \tparam Polytope Polytope Type
/// \tparam CEllipsoid Ellipsoid Type
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why you call it CEllipsoid instead of just Ellipsoid?

/// \tparam Polytope Polytope Type
/// \tparam CEllipsoid Ellipsoid Type
template <typename Polytope, typename CEllipsoid>
class EllipsoidIntersectPolytope {
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Why not inherit from BallIntersectPolytope class? A lot of methods are the same. Also do we need this class at all or we can just use BallIntersectPolytope for both ball and ellipsoid intersections? The only difference I see is in the last 3 methods.

*grad_data = ((params.a_vec.coeff(i) - NT(1)) / x.getCoefficients().coeff(i));
grad_data++;
}
Point y(grad);
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Why are you creating a VT and then copy it to a Point instead of creating a Point and assign the desired values directly into it?

*grad_data = ((params.a_vec.coeff(i) - NT(1)) / x.getCoefficients().coeff(i));
grad_data++;
}
Point y(grad);
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same here, is there a copy here? Can we avoid it?

template <typename NT>
static NT compute(EllipsoidIntersectPolytope<Polytope, Ellipsoid<Point>> &P)
{
return NT(1.5) * P.radius();
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Where 1.5 comes from?

parameters() : order(2), L(2), m(2), kappa(1) {};

parameters(unsigned int order_) :
order(order),
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you probably mean order(order_) here

// Copyright (c) 2018-2023 Apostolos Chalkis
// Copyright (c) 2020-2023 Elias Tsigaridas

// Contributed and/or modified by Ioannis Iakovidis, as part of Google Summer of
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Is this a typo?

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3 participants