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Any explicit functional representation $f$ of a density is hampered by two main obstacles when we wish to use it as a generative model: designing $f$ so that sampling is fast, and estimating $Z = \int f$ so that $Z^{-1}f$ integrates to 1.…

Machine Learning · Computer Science 2022-06-23 Henry Li , Yuval Kluger

We describe an efficient numerical method for simulating the dynamics of interacting spin ensembles in the presence of dephasing and decay. The method builds on the discrete truncated Wigner approximation for isolated systems, which…

Quantum Physics · Physics 2022-02-01 Julian Huber , Ana Maria Rey , Peter Rabl

Dynamic sampling mechanisms in deep learning architectures have demonstrated utility across many computer vision models, though the theoretical analysis of these structures has not yet been unified. In this paper we connect the various…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Dario Morle , Reid Zaffino

With the end of Moore's law and Dennard scaling, efficient training increasingly requires rethinking data volume. Can we train better models with significantly less data via intelligent subsampling? To explore this, we develop SICKLE, a…

The deep-learning-based least squares method has shown successful results in solving high-dimensional non-linear partial differential equations (PDEs). However, this method usually converges slowly. To speed up the convergence of this…

Numerical Analysis · Mathematics 2025-07-10 Wenhan Gao , Chunmei Wang

Animals are known to make efficient probabilistic inferences based on uncertain and noisy information from the outside world. Although it is known that generic neural networks can perform near-optimal point estimation by probabilistic…

Neurons and Cognition · Quantitative Biology 2021-11-10 Kohei Ichikawa , Asaki Kataoka

Inductive Recommender Systems are capable of recommending for new users and with new items thus avoiding the need to retrain after new data reaches the system. However, these methods are still trained on all the data available, requiring…

Information Retrieval · Computer Science 2025-10-06 Theis E. Jendal , Matteo Lissandrini , Peter Dolog , Katja Hose

Respondent-driven sampling (RDS) is an approach to sampling design and analysis which utilizes the networks of social relationships that connect members of the target population, using chain-referral methods to facilitate sampling. RDS…

Methodology · Statistics 2015-08-19 Yakir Berchenko , Jonathan Rosenblatt , Simon D. W. Frost

Importance sampling has been successfully used to accelerate stochastic optimization in many convex problems. However, the lack of an efficient way to calculate the importance still hinders its application to Deep Learning. In this paper,…

Machine Learning · Computer Science 2017-09-14 Angelos Katharopoulos , François Fleuret

Ising machines are a promising non-von-Neumann computational concept for neural network training and combinatorial optimization. However, while various neural networks can be implemented with Ising machines, their inability to perform fast…

Applied Physics · Physics 2022-10-05 Fabian Böhm , Diego Alonso-Urquijo , Guy Verschaffelt , Guy Van der Sande

We propose a general framework to extract microscopic interactions from raw configurations with deep neural networks. The approach replaces the modeling Hamiltonian by the neural networks, in which the interaction is encoded. It can be…

Computational Physics · Physics 2020-08-19 Lingxiao Wang , Yin Jiang , Kai Zhou

The numerical simulation of dynamical phenomena in interacting quantum systems is a notoriously hard problem. Although a number of promising numerical methods exist, they often have limited applicability due to the growth of entanglement or…

Quantum Physics · Physics 2021-09-08 Stefano De Nicola

Autoregressive models (ARMs) currently hold state-of-the-art performance in likelihood-based modeling of image and audio data. Generally, neural network based ARMs are designed to allow fast inference, but sampling from these models is…

Machine Learning · Computer Science 2020-07-09 Auke Wiggers , Emiel Hoogeboom

Machine learning is becoming widely used in condensed matter physics. Inspired by the concept of image super-resolution, we propose a method to increase the size of lattice spin configurations using deep convolutional neural networks.…

Statistical Mechanics · Physics 2019-02-13 Stavros Efthymiou , Matthew J. S. Beach , Roger G. Melko

We propose a general framework for the estimation of observables with generative neural samplers focusing on modern deep generative neural networks that provide an exact sampling probability. In this framework, we present asymptotically…

Statistical Mechanics · Physics 2021-01-05 Kim A. Nicoli , Shinichi Nakajima , Nils Strodthoff , Wojciech Samek , Klaus-Robert Müller , Pan Kessel

Physics-Informed Neural Networks (PINNs) have emerged as a powerful framework for solving partial differential equations (PDEs). However, their performance heavily relies on the strategy used to select training points. Conventional adaptive…

Machine Learning · Computer Science 2025-04-18 Zhenao Song

In this paper we propose an efficient method to compress a high dimensional function into a tensor ring format, based on alternating least-squares (ALS). Since the function has size exponential in $d$ where $d$ is the number of dimensions,…

Numerical Analysis · Mathematics 2019-06-28 Yuehaw Khoo , Jianfeng Lu , Lexing Ying

Transformers have emerged as the leading architecture in deep learning, proving to be versatile and highly effective across diverse domains beyond language and image processing. However, their impressive performance often incurs high…

Machine Learning · Computer Science 2024-12-18 Xuan Shen , Zhao Song , Yufa Zhou , Bo Chen , Jing Liu , Ruiyi Zhang , Ryan A. Rossi , Hao Tan , Tong Yu , Xiang Chen , Yufan Zhou , Tong Sun , Pu Zhao , Yanzhi Wang , Jiuxiang Gu

Physics-informed deep learning has emerged as a promising framework for solving partial differential equations (PDEs). Nevertheless, training these models on complex problems remains challenging, often leading to limited accuracy and…

Machine Learning · Statistics 2025-11-13 Wenqian Chen , Amanda Howard , Panos Stinis

Building on the remarkable achievements in generative sampling of natural images, we propose an innovative challenge, potentially overly ambitious, which involves generating samples of entire multivariate time series that resemble images.…

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