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We propose a tensor-network (TN) approach for solving classical optimization problems that is inspired by spectral filtering and sampling on quantum states. We first shift and scale an Ising Hamiltonian of the cost function so that all…

Quantum Physics · Physics 2026-02-09 Ryo Watanabe , Joseph Tindall , Shohei Miyakoshi , Hiroshi Ueda

We introduce an efficient finite-element approach for large-scale real-space pseudopotential density functional theory (DFT) calculations incorporating noncollinear magnetism and spin-orbit coupling. The approach, implemented within the…

Materials Science · Physics 2025-06-11 Nikhil Kodali , Phani Motamarri

Hybrid systems are traditionally difficult to identify and analyze using classical dynamical systems theory. Moreover, recently developed model identification methodologies largely focus on identifying a single set of governing equations…

Dynamical Systems · Mathematics 2019-06-19 Niall M Mangan , Travis Askham , Steven L Brunton , J Nathan Kutz , Joshua L Proctor

In this paper we consider a continuous description based on stochastic differential equations of the popular particle swarm optimization (PSO) process for solving global optimization problems and derive in the large particle limit the…

Numerical Analysis · Mathematics 2020-12-11 Sara Grassi , Lorenzo Pareschi

In this work we survey some recent results on the global minimization of a non-convex and possibly non-smooth high dimensional objective function by means of particle based gradient-free methods. Such problems arise in many situations of…

Optimization and Control · Mathematics 2021-08-21 Sara Grassi , Hui Huang , Lorenzo Pareschi , Jinniao Qiu

Numerical methods in spin-foam models have significantly advanced in the last few years, yet challenges remain in efficiently extracting results for amplitudes with many quantum degrees of freedom. In this paper we sketch a proposal for a…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Seth K. Asante , José Diogo Simão , Sebastian Steinhaus

Tensor networks like matrix product states (MPSs) and matrix product operators (MPOs) are powerful tools for representing exponentially large states and operators, with applications in quantum many-body physics, machine learning, numerical…

Quantum Physics · Physics 2026-03-11 Chris Camaño , Ethan N. Epperly , Joel A. Tropp

Novel applications of artificial intelligence for tuning the parameters of industrial machines for optimal performance are emerging at a fast pace. Tuning the combine harvesters and improving the machine performance can dramatically…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Laszlo Nadai , Felde Imre , Sina Ardabili , Tarahom Mesri Gundoshmian , Pinter Gergo , Amir Mosavi

Continuous Matrix Product States (cMPS) are powerful variational ansatz states for ground states of continuous quantum field theories in (1+1) dimension. In this paper we introduce a novel parametrization of the cMPS wave function based on…

Computational Physics · Physics 2017-12-06 Martin Ganahl

We propose a general framework for a hybrid continuous-discrete algorithm that integrates continuous-time deterministic dynamics with Metropolis-Hastings steps to combine search dynamics with and without detailed balance. Our purpose is to…

Statistical Mechanics · Physics 2024-10-31 Timothée Leleu , Samuel Reifenstein

Gain-dissipative platforms consisting of lasers, optical parametric oscillators and nonequilibrium condensates operating at the condensation/coherence threshold have been recently proposed as efficient analog simulators of 2-local spin…

Disordered Systems and Neural Networks · Physics 2021-02-10 Nikita Stroev , Natalia G. Berloff

This study presents a methodology for surrogate optimization of cyclic adsorption processes, focusing on enhancing Pressure Swing Adsorption units for carbon dioxide ($CO_{2}$) capture. We developed and implemented a multiple-input,…

Chemical Physics · Physics 2023-12-08 Carine Menezes Rebello , Idelfonso B. R. Nogueira

Predicting the quantum dynamics of promising solid-state and molecular quantum technology candidates remains a formidable challenge. Yet, accessing these dynamics is key to understanding and controlling decoherence mechanisms -- a…

Chemical Physics · Physics 2026-04-10 Tianchu Li , Pranay Venkatesh , Nanako Shitara , Andrés Montoya-Castillo

In this paper we contribute a novel algorithm family, which generalizes many unsupervised techniques including unnormalized and energy models, and allows us to infer different statistical modalities (e.g. data likelihood and ratio between…

Machine Learning · Computer Science 2021-01-14 Dmitry Kopitkov , Vadim Indelman

Spin-glass systems are universal models for representing many-body phenomena in statistical physics and computer science. High quality solutions of NP-hard combinatorial optimization problems can be encoded into low energy states of…

Disordered Systems and Neural Networks · Physics 2020-01-14 Gavin S. Hartnett , Masoud Mohseni

This article is aimed at extending the framework of optimal control techniques to the situation where the control field values are restricted to a finite set. We propose a generalization of the standard GRAPE algorithm suited to this…

Optimization and Control · Mathematics 2015-10-28 G. Dridi , M. Lapert , Julien Salomon , D Sugny , S. J. Glaser

Given the scarcity of experimentally confirmed magnetic structures, the reliable prediction of magnetic ground states is crucial; however, it remains a long-sought challenge because of the complex magnetic potential energy landscape. Here,…

Materials Science · Physics 2025-12-29 Yuhui Li , Sike Zeng , Xiaobing Chen , Renzheng Xiong , Yutong Yu , Yu-Jun Zhao , Qihang Liu

Nowadays, hybrid cloud platforms stand as an attractive solution for organizations intending to implement combined private and public cloud applications, in order to meet their profitability requirements. However, this can only be achieved…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-17 Wissem Abbes , Zied Kechaou , Amir Hussain , Abdulrahman M. Qahtani , Omar Aimutiry , Habib Dhahri , Adel M. Alimi

Particle-based shape modeling (PSM) is a popular approach to automatically quantify shape variability in populations of anatomies. The PSM family of methods employs optimization to automatically populate a dense set of corresponding…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Hong Xu , Shireen Y. Elhabian

We devise a deterministic algorithm to efficiently sample high-quality solutions of certain spin-glass systems that encode hard optimization problems. We employ tensor networks to represent the Gibbs distribution of all possible…

Statistical Mechanics · Physics 2021-09-07 Marek M. Rams , Masoud Mohseni , Daniel Eppens , Konrad Jałowiecki , Bartłomiej Gardas
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