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The Dynamic-Mode Decomposition (DMD) is a well established data-driven method of finding temporally evolving linear-mode decompositions of nonlinear time series. Traditionally, this method presumes that all relevant dimensions are sampled…

Dynamical Systems · Mathematics 2021-01-13 Christopher W. Curtis , Daniel Jay Alford-Lago

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

Machine Learning · Statistics 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

Vectorial Genetic Programming (Vec-GP) extends GP by allowing vectors as input features along regular, scalar features, using them by applying arithmetic operations component-wise or aggregating vectors into scalars by some aggregation…

Neural and Evolutionary Computing · Computer Science 2023-03-07 Philipp Fleck , Stephan Winkler , Michael Kommenda , Michael Affenzeller

Enhanced sampling algorithms have emerged as powerful methods to extend the utility of molecular dynamics simulations and allow the sampling of larger portions of the configuration space of complex systems in a given amount of simulation…

Statistical Mechanics · Physics 2022-12-19 Jérôme Hénin , Tony Lelièvre , Michael R. Shirts , Omar Valsson , Lucie Delemotte

A novel data-driven method of modal analysis for complex flow dynamics, termed as reduced-order variational mode decomposition (RVMD), has been proposed, combining the idea of the separation of variables and a state-of-the-art nonstationary…

Fluid Dynamics · Physics 2022-09-27 Zi-Mo Liao , Zhiye Zhao , Liang-Bing Chen , Zhen-Hua Wan , Nan-Sheng Liu , Xi-Yun Lu

Spatial profiling technologies in biology, such as imaging mass cytometry (IMC) and spatial transcriptomics (ST), generate high-dimensional, multi-channel data with strong spatial alignment and complex inter-channel relationships.…

Machine Learning · Computer Science 2025-07-08 Haoran Zhang , Mingyuan Zhou , Wesley Tansey

Significant progress in computer hardware and software have enabled molecular dynamics (MD) simulations to model complex biological phenomena such as protein folding. However, enabling MD simulations to access biologically relevant…

Biomolecules · Quantitative Biology 2019-08-02 Heng Ma , Debsindhu Bhowmik , Hyungro Lee , Matteo Turilli , Michael T. Young , Shantenu Jha , Arvind Ramanathan

The Dynamical Graph Grammar (DGG) formalism can describe complex system dynamics with graphs that are mapped into a master equation. An exact stochastic simulation algorithm may be used, but it is slow for large systems. To overcome this…

Quantitative Methods · Quantitative Biology 2024-07-16 Eric Medwedeff , Eric Mjolsness

Augmentation by generative modelling yields a promising alternative to the accumulation of surgical data, where ethical, organisational and regulatory aspects must be considered. Yet, the joint synthesis of (image, mask) pairs for…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Yannik Frisch , Christina Bornberg , Moritz Fuchs , Anirban Mukhopadhyay

In the field of human-computer interaction (HCI), the usability assessment of m-learning (mobile-learning) applications is a real challenge. Such assessment typically involves extraction of the best features of an application like…

Human-Computer Interaction · Computer Science 2024-04-26 Muhammad Asghar , Imran Sarwar Bajwa , Shabana Ramzan , Hina Afreen , Saima Abdullah

Multi-view image generation holds significant application value in computer vision, particularly in domains like 3D reconstruction, virtual reality, and augmented reality. Most existing methods, which rely on extending single images, face…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Jiaqi Wu , Yaosen Chen , Shuyuan Zhu

We present a Python package together with a practical guide for the implementation of a lightweight diversity-enhanced genetic algorithm (GA) approach for the exploration of multi-dimensional parameter spaces. Searching a parameter space…

Neural and Evolutionary Computing · Computer Science 2024-12-24 Jonas Wessén , Eliel Camargo-Molina

Efficient sampling from a high-dimensional Gaussian distribution is an old but high-stake issue. Vanilla Cholesky samplers imply a computational cost and memory requirements which can rapidly become prohibitive in high dimension. To tackle…

Computation · Statistics 2025-02-25 Maxime Vono , Nicolas Dobigeon , Pierre Chainais

Many mathematical optimization algorithms fail to sufficiently explore the solution space of high-dimensional nonlinear optimization problems due to the curse of dimensionality. This paper proposes generative models as a complement to…

Neural and Evolutionary Computing · Computer Science 2021-05-05 Pouya Rezazadeh Kalehbasti , Michael D. Lepech , Samarpreet Singh Pandher

Multiple Sequences Alignment (MSA) of biological sequences is a fundamental problem in computational biology due to its critical significance in wide ranging applications including haplotype reconstruction, sequence homology, phylogenetic…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-05-13 Fahad Saeed , Ashfaq Khokhar

Molecular dynamics (MD) simulations are essential tools in computational chemistry and drug discovery, offering crucial insights into dynamic molecular behavior. However, their utility is significantly limited by substantial computational…

Chemical Physics · Physics 2025-09-04 Bin Feng , Jiying Zhang , Xinni Zhang , Zijing Liu , Yu Li

Recently, 3D generation methods have shown their powerful ability to automate 3D model creation. However, most 3D generation methods only rely on an input image or a text prompt to generate a 3D model, which lacks the control of each…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Peng Li , Suizhi Ma , Jialiang Chen , Yuan Liu , Congyi Zhang , Wei Xue , Wenhan Luo , Alla Sheffer , Wenping Wang , Yike Guo

Machine learning methods provide a general framework for automatically finding and representing the essential characteristics of simulation data. This task is particularly crucial in enhanced sampling simulations. There we seek a few…

Chemical Physics · Physics 2021-07-07 Jakub Rydzewski , Omar Valsson

For domains that involve numerical simulation, it can be computationally expensive to run an ensemble of simulations spanning a parameter space of interest to a user. To this end, an attractive surrogate for simulation is the generative…

Machine Learning · Computer Science 2025-05-13 Xiaohan Wang , Matthew Berger

Complex high dimensional stochastic dynamic systems arise in many applications in the natural sciences and especially biology. However, while these systems are difficult to describe analytically, "snapshot" measurements that sample the…

Machine Learning · Computer Science 2019-12-03 Scott Gigante , David van Dijk , Kevin Moon , Alexander Strzalkowski , Guy Wolf , Smita Krishnaswamy