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Mixed Integer Linear Programming (MILP) is a fundamental tool for modeling combinatorial optimization problems. Recently, a growing body of research has used machine learning to accelerate MILP solving. Despite the increasing popularity of…

Machine Learning · Computer Science 2024-10-29 Weimin Huang , Taoan Huang , Aaron M Ferber , Bistra Dilkina

GMP-Featurizer is a lightweight, accurate, efficient, and scalable software package for calculating the Gaussian Multipole (GMP) features \cite{GMP} for a variety of atomic systems with elements across the periodic table. Starting from the…

Chemical Physics · Physics 2023-03-24 Xiangyun Lei , Joseph Montoya

Machine learning interatomic potentials (MLIPs) provide a computationally efficient alternative to quantum mechanical simulations for predicting material properties. Message-passing graph neural networks, commonly used in these MLIPs, rely…

Chemical Physics · Physics 2025-09-08 Moin Uddin Maruf , Sungmin Kim , Zeeshan Ahmad

Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

Machine Learning · Computer Science 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

We propose a supervised learning framework for computing solutions of multi-parametric Mixed Integer Linear Programs (MILPs) that arise in Model Predictive Control. Our approach also quantifies sub-optimality for the computed solutions.…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Luigi Russo , Siddharth H. Nair , Luigi Glielmo , Francesco Borrelli

TorchOptics is an open-source Python library for differentiable Fourier optics simulations, developed using PyTorch to enable GPU-accelerated tensor computations and automatic differentiation. It provides a comprehensive framework for…

Optics · Physics 2024-11-28 Matthew J. Filipovich , A. I. Lvovsky

In multi-objective optimization, several potentially conflicting objective functions need to be optimized. Instead of one optimal solution, we look for the set of so called non-dominated solutions. An important subset is the set of…

Discrete Mathematics · Computer Science 2023-04-24 Fritz Bökler , Levin Nemesch , Mirko H. Wagner

Developers of Molecular Dynamics (MD) codes face significant challenges when adapting existing simulation packages to new hardware. In a continuously diversifying hardware landscape it becomes increasingly difficult for scientists to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-14 William R. Saunders , James Grant , Eike H. Müller

Partially observable Markov decision processes (POMDPs) are a powerful abstraction for tasks that require decision making under uncertainty, and capture a wide range of real world tasks. Today, effective planning approaches exist that…

Machine Learning · Statistics 2018-05-24 Sebastian Tschiatschek , Kai Arulkumaran , Jan Stühmer , Katja Hofmann

We introduce TorchSim, an open-source atomistic simulation engine tailored for the Machine Learned Interatomic Potential (MLIP) era. By rewriting core atomistic simulation primitives in PyTorch, TorchSim can achieve orders of magnitude…

POCP is a new Matlab package running jointly with GloptiPoly 3 and, optionally, YALMIP. It is aimed at nonlinear optimal control problems for which all the problem data are polynomial, and provides an approximation of the optimal value as…

Optimization and Control · Mathematics 2008-09-29 Didier Henrion , Jean-Bernard Lasserre , Carlo Savorgnan

We introduce JAX MD, a software package for performing differentiable physics simulations with a focus on molecular dynamics. JAX MD includes a number of physics simulation environments, as well as interaction potentials and neural networks…

Computational Physics · Physics 2020-12-04 Samuel S. Schoenholz , Ekin D. Cubuk

Compared to the wide array of advanced Monte Carlo methods supported by modern probabilistic programming languages (PPLs), PPL support for variational inference (VI) is less developed: users are typically limited to a predefined selection…

Programming Languages · Computer Science 2024-06-25 McCoy R. Becker , Alexander K. Lew , Xiaoyan Wang , Matin Ghavami , Mathieu Huot , Martin C. Rinard , Vikash K. Mansinghka

The increasing number of processing elements and decreas- ing memory to core ratio in modern high-performance platforms makes efficient strong scaling a key requirement for numerical algorithms. In order to achieve efficient scalability on…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-14 Michael Lange , Gerard Gorman , Michele Weiland , Lawrence Mitchell , James Southern

A Materials Project based open-source Python tool, MPInterfaces, has been developed to automate the high-throughput computational screening and study of interfacial systems. The framework encompasses creation and manipulation of interface…

Reactive molecular dynamics simulations are computationally demanding. Reaching spatial and temporal scales where interesting scientific phenomena can be observed requires efficient and scalable implementations on modern hardware. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-26 Hasan Metin Aktulga , Christopher Knight , Paul Coffman , Kurt A. O'Hearn , Tzu-Ray Shan , Wei Jiang

Mixed-Integer Programming (MIP), particularly Mixed-Integer Linear Programming (MILP) and Mixed-Integer Quadratic Programming (MIQP), has found extensive applications in domains such as portfolio optimization and network flow control, which…

Optimization and Control · Mathematics 2026-02-03 Zayn Wang

We present MPAX (Mathematical Programming in JAX), an open-source first-order solver for large-scale linear programming (LP) and convex quadratic programming (QP) built natively in JAX. The primary goal of MPAX is to exploit modern machine…

Optimization and Control · Mathematics 2026-01-21 Haihao Lu , Zedong Peng , Jinwen Yang

We present an automated framework for constructing Taylor series expansions of rovibrational kinetic and potential energy operators for arbitrary molecules, internal coordinate systems, and molecular frame embedding conditions. Expressing…

Atomic and Molecular Clusters · Physics 2025-07-29 Andrey Yachmenev , Emil Vogt , Álvaro Fernández Corral , Yahya Saleh

Machine learning potentials (MLPs) are becoming powerful tools for performing accurate atomistic simulations and crystal structure optimizations. An approach to developing MLPs employs a systematic set of polynomial invariants including…

Computational Physics · Physics 2020-11-18 Atsuto Seko