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We introduce the unification of dynamical mean field theory (DMFT) and linear-scaling density functional theory (DFT), as recently implemented in ONETEP, a linear-scaling DFT package, and TOSCAM, a DMFT toolbox. This code can account for…

Strongly Correlated Electrons · Physics 2020-05-04 Edward B. Linscott , Daniel J. Cole , Nicholas D. M. Hine , Michael C. Payne , Cédric Weber

Recent advances in decentralized deep learning algorithms have demonstrated cutting-edge performance on various tasks with large pre-trained models. However, a pivotal prerequisite for achieving this level of competitiveness is the…

Machine Learning · Computer Science 2024-04-15 Nastaran Saadati , Minh Pham , Nasla Saleem , Joshua R. Waite , Aditya Balu , Zhanhong Jiang , Chinmay Hegde , Soumik Sarkar

The scientific computation methods development in conjunction with artificial intelligence technologies remains a hot research topic. Finding a balance between lightweight and accurate computations is a solid foundation for this direction.…

Machine Learning · Computer Science 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

Solving inverse problems governed by partial differential equations (PDEs) is central to science and engineering, yet remains challenging when measurements are sparse, noisy, or when the underlying coefficients are high-dimensional or…

Machine Learning · Computer Science 2025-11-06 Gang Bao , Yaohua Zang

A dynamic mean field theory is developed for finite state and action Bayesian reinforcement learning in the large state space limit. In an analogy with statistical physics, the Bellman equation is studied as a disordered dynamical system;…

Machine Learning · Statistics 2023-07-13 George Stamatescu

Time-continuous emotion prediction has become an increasingly compelling task in machine learning. Considerable efforts have been made to advance the performance of these systems. Nonetheless, the main focus has been the development of more…

Machine Learning · Computer Science 2018-10-15 Zixing Zhang , Jing Han , Eduardo Coutinho , Björn Schuller

Estimating fluid dynamics is classically done through the simulation and integration of numerical models solving the Navier-Stokes equations, which is computationally complex and time-consuming even on high-end hardware. This is a…

Machine Learning · Computer Science 2023-03-20 Steeven Janny , Aurélien Béneteau , Madiha Nadri , Julie Digne , Nicolas Thome , Christian Wolf

The working mechanisms of complex natural systems tend to abide by concise and profound partial differential equations (PDEs). Methods that directly mine equations from data are called PDE discovery, which reveals consistent physical laws…

Machine Learning · Computer Science 2023-03-17 Mengge Du , Yuntian Chen , Dongxiao Zhang

Given (small amounts of) time-series' data from a high-dimensional, fine-grained, multiscale dynamical system, we propose a generative framework for learning an effective, lower-dimensional, coarse-grained dynamical model that is predictive…

Machine Learning · Statistics 2021-01-18 Sebastian Kaltenbach , Phaedon-Stelios Koutsourelakis

Diffusion models have emerged as powerful generative frameworks by progressively adding noise to data through a forward process and then reversing this process to generate realistic samples. While these models have achieved strong…

Machine Learning · Computer Science 2025-03-04 Xingzhuo Guo , Yu Zhang , Baixu Chen , Haoran Xu , Jianmin Wang , Mingsheng Long

Many techniques have been developed, such as model compression, to make Deep Neural Networks (DNNs) inference more efficiently. Nevertheless, DNNs still lack excellent run-time dynamic inference capability to enable users trade-off accuracy…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Li Yang , Zhezhi He , Yu Cao , Deliang Fan

Current video understanding models rely on fixed frame sampling strategies, processing predetermined visual inputs regardless of the specific reasoning requirements of each question. This static approach limits their ability to adaptively…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Haonan Ge , Yiwei Wang , Kai-Wei Chang , Hang Wu , Yujun Cai

Evolutionary algorithms have been widely applied for solving dynamic constrained optimization problems (DCOPs) as a common area of research in evolutionary optimization. Current benchmarks proposed for testing these problems in the…

Neural and Evolutionary Computing · Computer Science 2019-07-10 Maryam Hasani-Shoreh , María-Yaneli Ameca-Alducin , Wilson Blaikie , Frank Neumann , Marc Schoenauer

Quite recently I have proposed a nonperturbative dynamical effective field model (DEFM) to quantitatively describe the dynamics of interacting ferrofluids. Its predictions compare very well with the results from simulations. In this paper I…

Soft Condensed Matter · Physics 2020-11-18 Angbo Fang

Spatiotemporal projections in marine science are essential for understanding ocean systems and their impact on Earth's climate. However, existing AI-based and statistics-based inversion methods face challenges in leveraging ocean data,…

Applications · Statistics 2024-08-06 Zhixi Xiong , Yukang Jiang , Wenfang Lu , Xueqin Wang , Ting Tian

We introduce \emph{Dynamical Physics-Modeled Neural Networks} (DynPMNNs), a continuous-time deep learning architecture in which each hidden layer is defined as the solution of an ordinary differential equation. Unlike classical feed-forward…

Machine Learning · Computer Science 2026-05-12 Raul Felipe-Sosa , Angel Martin del Rey , Maria Flores Ceballos

Conventional numerical solvers for the radiative transfer equation (RTE) exhibit severe sensitivity to medium parameters. To address this, we propose an operator learning framework that approximates the RTE solution map as a function of…

Numerical Analysis · Mathematics 2026-04-28 Qinchen Song , Xinliang Liu , Lei Zhang

The dynamical mean-field concept of approximating an unsolvable many-body problem in terms of the solution of an auxiliary quantum impurity problem, introduced to study bulk materials with a continuous energy spectrum, is here extended to…

Strongly Correlated Electrons · Physics 2011-03-04 Nan Lin , C. A. Marianetti , Andrew J. Millis , David R. Reichman

In this paper, we present an Adaptive Ensemble Learning framework that aims to boost the performance of deep neural networks by intelligently fusing features through ensemble learning techniques. The proposed framework integrates ensemble…

Artificial Intelligence · Computer Science 2023-04-07 Neelesh Mungoli

We present a novel differentiable grid-based representation for efficiently solving differential equations (DEs). Widely used architectures for neural solvers, such as sinusoidal neural networks, are coordinate-based MLPs that are both…

Machine Learning · Computer Science 2026-01-16 Navami Kairanda , Shanthika Naik , Marc Habermann , Avinash Sharma , Christian Theobalt , Vladislav Golyanik