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Subspace segmentation or subspace learning is a challenging and complicated task in machine learning. This paper builds a primary frame and solid theoretical bases for the minimal subspace segmentation (MSS) of finite samples. Existence and…

Machine Learning · Computer Science 2019-09-10 Zhenyue Zhang , Yuqing Xia

Learning complex trajectories from demonstrations in robotic tasks has been effectively addressed through the utilization of Dynamical Systems (DS). State-of-the-art DS learning methods ensure stability of the generated trajectories;…

Robotics · Computer Science 2024-12-10 Andreas Sochopoulos , Michael Gienger , Sethu Vijayakumar

Known as low energy consumption networks, spiking neural networks (SNNs) have gained a lot of attention within the past decades. While SNNs are increasing competitive with artificial neural networks (ANNs) for vision tasks, they are rarely…

Computation and Language · Computer Science 2024-12-25 Shuaijie Shen , Chao Wang , Renzhuo Huang , Yan Zhong , Qinghai Guo , Zhichao Lu , Jianguo Zhang , Luziwei Leng

Long short-term memory (LSTM) is a robust recurrent neural network architecture for learning spatiotemporal sequential data. However, it requires significant computational power for learning and implementing from both software and hardware…

Machine Learning · Computer Science 2022-10-26 Nelly Elsayed , Zag ElSayed , Anthony S. Maida

Non-equilibrium molecular-scale dynamics, where fast electron transport couples with slow chemical state evolution, underpins the complex behaviors of molecular memristors, yet a general model linking these dynamics to neuromorphic…

Chemical Physics · Physics 2026-05-19 Yueqi Chen , Xuan Ji , Xi Yu

Combinatorial Optimization problems are widespread in domains such as logistics, manufacturing, and drug discovery, yet their NP-hard nature makes them computationally challenging. Recent Neural Combinatorial Optimization methods leverage…

Machine Learning · Statistics 2025-06-05 Sobihan Surendran , Adeline Fermanian , Sylvain Le Corff

State space models (SSMs) have emerged as a powerful framework for modelling long-range dependencies in sequence data. Unlike traditional recurrent neural networks (RNNs) and convolutional neural networks (CNNs), SSMs offer a structured and…

Machine Learning · Computer Science 2024-10-07 Siddhanth Bhat

Matrix Product States (MPS), also known as Tensor Train (TT) decomposition in mathematics, has been proposed originally for describing an (especially one-dimensional) quantum system, and recently has found applications in various…

Statistical Mechanics · Physics 2018-12-14 Zhuan Li , Pan Zhang

We propose Linear Oscillatory State-Space models (LinOSS) for efficiently learning on long sequences. Inspired by cortical dynamics of biological neural networks, we base our proposed LinOSS model on a system of forced harmonic oscillators.…

Machine Learning · Computer Science 2025-06-19 T. Konstantin Rusch , Daniela Rus

The analysis of physiological processes over time are often given by spectrometric or gene expression profiles over time with only few time points but a large number of measured variables. The analysis of such temporal sequences is…

Machine Learning · Computer Science 2011-10-12 F. -M. Schleif , A. Gisbrecht , B. Hammer

Molecular Dynamics (MD) simulations are vital for exploring complex systems in computational physics and chemistry. While machine learning methods dramatically reduce computational costs relative to ab initio methods, their accuracy in…

Materials Science · Physics 2025-07-18 Ivan Žugec , Tin Hadži Veljković , Maite Alducin , J. Iñaki Juaristi

All-atom molecular dynamics (MD) computer simulations are a valuable tool for characterizing the conformational ensembles of intrinsically disordered proteins (IDPs). IDP conformational ensembles are highly heterogeneous and contain…

Chemical Physics · Physics 2025-05-06 Jaya Krishna Koneru , Korey M. Reid , Paul Robustelli

Spatial multiscale methods have established themselves as useful tools for extending the length scales accessible by conventional statics (i.e., zero temperature molecular dynamics). Recently, extensions of these methods, such as the…

Numerical Analysis · Mathematics 2014-09-23 Andrew Binder , Mitchell Luskin , Danny Perez , Arthur F. Voter

Latent linear dynamical systems with Bernoulli observations provide a powerful modeling framework for identifying the temporal dynamics underlying binary time series data, which arise in a variety of contexts such as binary decision-making…

Machine Learning · Statistics 2023-07-28 Iris R. Stone , Yotam Sagiv , Il Memming Park , Jonathan W. Pillow

Direct simulation of biomolecular dynamics in thermal equilibrium is challenging due to the metastable nature of conformation dynamics and the computational cost of molecular dynamics. Biased or enhanced sampling methods may improve the…

Chemical Physics · Physics 2015-06-12 Benjamin Trendelkamp-Schroer , Frank Noe

Although machine learning (ML) is increasingly employed recently for mechanistic problems, the black-box nature of conventional ML architectures lacks the physical knowledge to infer unforeseen input conditions. This implies both severe…

Machine Learning · Computer Science 2021-10-11 Wrik Mallik , Rajeev K. Jaiman , Jasmin Jelovica

Coarse-grained modeling in molecular simulations serves not only to extend accessible time and length scales beyond atomistic limits, but also to reduce high-dimensional chemical data to low-dimensional representations that expose the…

Chemical Physics · Physics 2026-05-19 Michael N. Sakano , Alejandro Strachan

Quantum-accurate computer simulations play a central role in understanding phase-change materials (PCMs) for advanced memory technologies. However, direct quantum-mechanical simulations are necessarily limited to simplified models,…

Materials Science · Physics 2022-09-20 Yuxing Zhou , Wei Zhang , En Ma , Volker L. Deringer

Accurately solving partial differential equations (PDEs) is essential across many scientific disciplines. However, high-fidelity solvers can be computationally prohibitive, motivating the development of reduced-order models (ROMs).…

Machine Learning · Computer Science 2026-04-16 William Anderson , Seung Whan Chung , Robert Stephany , Youngsoo Choi

We present a data-efficient, multiscale framework for predicting the density profiles of confined fluids at the nanoscale. While accurate density estimates require prohibitively long timescales that are inaccessible by ab initio molecular…

Computational Physics · Physics 2025-09-11 Bugra Yalcin , Ishan Nadkarni , Jinu Jeong , Chenxing Liang , Narayana R. Aluru
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