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Data-driven methods for the identification of the governing equations of dynamical systems or the computation of reduced surrogate models play an increasingly important role in many application areas such as physics, chemistry, biology, and…

Dynamical Systems · Mathematics 2024-12-17 Stefan Klus , Hongyu Zhu

We present a new procedure for enhanced variable selection for component-wise gradient boosting. Statistical boosting is a computational approach that emerged from machine learning, which allows to fit regression models in the presence of…

Sampling from flat modes in discrete spaces is a crucial yet underexplored problem. Flat modes represent robust solutions and have broad applications in combinatorial optimization and discrete generative modeling. However, existing sampling…

Machine Learning · Computer Science 2025-05-19 Pinaki Mohanty , Riddhiman Bhattacharya , Ruqi Zhang

Additive models belong to the class of structured nonparametric regression models that do not suffer from the curse of dimensionality. Finding the additive components that are nonzero when the true model is assumed to be sparse is an…

Methodology · Statistics 2025-05-08 Suneel Babu Chatla , Abhijit Mandal

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

When artificial neural networks have demonstrated exceptional practical success in a variety of domains, investigations into their theoretical characteristics, such as their approximation power, statistical properties, and generalization…

Machine Learning · Statistics 2023-10-06 Shijin Gong , Xinyu Zhang

The typically rugged nature of molecular free energy landscapes can frustrate efficient sampling of the thermodynamically relevant phase space due to the presence of high free energy barriers. Enhanced sampling techniques can improve phase…

Biomolecules · Quantitative Biology 2023-08-21 Nicholas S. M. Herringer , Siva Dasetty , Diya Gandhi , Junhee Lee , Andrew L. Ferguson

Extracting insight from the enormous quantity of data generated from molecular simulations requires the identification of a small number of collective variables whose corresponding low-dimensional free-energy landscape retains the essential…

Chemical Physics · Physics 2019-12-30 Yasemin Bozkurt Varolgunes , Tristan Bereau , Joseph F. Rudzinski

Consider a set of multiple, multimodal sensors capturing a complex system or a physical phenomenon of interest. Our primary goal is to distinguish the underlying sources of variability manifested in the measured data. The first step in our…

Computer Vision and Pattern Recognition · Computer Science 2016-11-28 Vardan Papyan , Ronen Talmon

Our goal is to recover time-delayed latent causal variables and identify their relations from measured temporal data. Estimating causally-related latent variables from observations is particularly challenging as the latent variables are not…

Machine Learning · Statistics 2022-02-10 Weiran Yao , Yuewen Sun , Alex Ho , Changyin Sun , Kun Zhang

Deep metric learning maps visually similar images onto nearby locations and visually dissimilar images apart from each other in an embedding manifold. The learning process is mainly based on the supplied image negative and positive training…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Chang-Hui Liang , Wan-Lei Zhao , Run-Qing Chen

Federated learning encapsulates distributed learning strategies that are managed by a central unit. Since it relies on using a selected number of agents at each iteration, and since each agent, in turn, taps into its local data, it is only…

Machine Learning · Computer Science 2020-12-15 Elsa Rizk , Stefan Vlaski , Ali H. Sayed

When modeling longitudinal biomedical data, often dimensionality reduction as well as dynamic modeling in the resulting latent representation is needed. This can be achieved by artificial neural networks for dimension reduction, and…

Machine Learning · Statistics 2023-12-01 Göran Köber , Raffael Kalisch , Lara Puhlmann , Andrea Chmitorz , Anita Schick , Harald Binder

Dynamical systems across many disciplines are modeled as interacting particles or agents, with interaction rules that depend on a very small number of variables (e.g. pairwise distances, pairwise differences of phases, etc...), functions of…

Machine Learning · Computer Science 2022-08-05 Jinchao Feng , Mauro Maggioni , Patrick Martin , Ming Zhong

Improvements in computational and experimental capabilities are rapidly increasing the amount of scientific data that is routinely generated. In applications that are constrained by memory and computational intensity, excessively large…

Machine Learning · Computer Science 2023-02-28 Malik Hassanaly , Bruce A. Perry , Michael E. Mueller , Shashank Yellapantula

Training in unsupervised time series anomaly detection is constantly plagued by the discrimination between harmful `anomaly contaminations' and beneficial `hard normal samples'. These two samples exhibit analogous loss behavior that…

Machine Learning · Computer Science 2026-03-17 Ruyi Zhang , Hongzuo Xu , Songlei Jian , Yusong Tan , Haifang Zhou , Rulin Xu

Detecting dynamic patterns of task-specific responses shared across heterogeneous datasets is an essential and challenging problem in many scientific applications in medical science and neuroscience. In our motivating example of rodent…

Neurons and Cognition · Quantitative Biology 2024-07-02 Yubai Yuan , Babak Shahbaba , Norbert Fortin , Keiland Cooper , Qing Nie , Annie Qu

Latent variable models are widely used in social and behavioural sciences, including education, psychology, and political science. With the increasing availability of large and complex datasets, high-dimensional latent variable models have…

Computation · Statistics 2025-12-09 Motonori Oka , Yunxiao Chen , Irini Moustaki

A wide variety of numerical methods are evaluated and compared for solving the stochastic differential equations encountered in molecular dynamics. The methods are based on the application of deterministic impulses, drifts, and Brownian…

Computational Physics · Physics 2013-05-14 Benedict Leimkuhler , Charles Matthews

Optimizing chemical molecules for desired properties lies at the core of drug development. Despite initial successes made by deep generative models and reinforcement learning methods, these methods were mostly limited by the requirement of…

Machine Learning · Computer Science 2021-12-01 Shuangjia Zheng , Ying Song , Zhang Pan , Chengtao Li , Le Song , Yuedong Yang