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This paper studies how to find compact state embeddings from high-dimensional Markov state trajectories, where the transition kernel has a small intrinsic rank. In the spirit of diffusion map, we propose an efficient method for learning a…

Machine Learning · Computer Science 2019-10-29 Yifan Sun , Yaqi Duan , Hao Gong , Mengdi Wang

Deep functional map frameworks are widely employed for 3D shape matching. However, most existing deep functional map methods cannot adaptively capture important frequency information for functional map estimation in specific matching…

Computer Vision and Pattern Recognition · Computer Science 2024-06-26 Feifan Luo , Qinsong Li , Ling Hu , Haibo Wang , Xinru Liu , Shengjun Liu , Hongyang Chen

Spectral imaging extends the concept of traditional color cameras to capture images across multiple spectral channels and has broad application prospects. Conventional spectral cameras based on scanning methods suffer from low acquisition…

Image and Video Processing · Electrical Eng. & Systems 2023-01-18 Jiawei Yang , Kaiyu Cui , Yidong Huang , Wei Zhang , Xue Feng , Fang Liu

Many real-world relational systems, such as social networks and biological systems, contain dynamic interactions. When learning dynamic graph representation, it is essential to employ sequential temporal information and geometric structure.…

Machine Learning · Computer Science 2021-11-16 Bingxin Zhou , Xinliang Liu , Yuehua Liu , Yunying Huang , Pietro Liò , YuGuang Wang

Coarse-grained simulations of conjugated polymers have become a popular way of investigating the device physics of organic photovoltaics. While UV-Vis spectroscopy remains one of key experimental methods for the interrogation of these…

Disordered Systems and Neural Networks · Physics 2019-09-10 Lena Simine , Thomas C. Allen , Peter J. Rossky

We introduce a new neural architecture and an unsupervised algorithm for learning invariant representations from temporal sequence of images. The system uses two groups of complex cells whose outputs are combined multiplicatively: one that…

Neural and Evolutionary Computing · Computer Science 2010-06-03 Karo Gregor , Yann LeCun

In molecular dynamics simulations, rare events, such as protein folding, are typically studied using enhanced sampling techniques, most of which are based on the definition of a collective variable (CV) along which acceleration occurs.…

Chemical Physics · Physics 2024-07-22 Soojung Yang , Juno Nam , Johannes C. B. Dietschreit , Rafael Gómez-Bombarelli

The proper choice of collective variables (CVs) is central to biased-sampling free energy reconstruction methods in molecular dynamics simulations. The PLUMED 2 library, for instance, provides several sophisticated CV choices, implemented…

Computational Physics · Physics 2018-02-28 Toni Giorgino

We show that it is possible to learn protocols that effect fast and efficient state-to-state transformations in simulation models of active particles. By encoding the protocol in the form of a neural network we use evolutionary methods to…

Statistical Mechanics · Physics 2024-03-29 Corneel Casert , Stephen Whitelam

The committor function is a central object of study in understanding transitions between metastable states in complex systems. However, computing the committor function for realistic systems at low temperatures is a challenging task, due to…

Computational Physics · Physics 2019-09-04 Qianxiao Li , Bo Lin , Weiqing Ren

Finding informative low-dimensional descriptions of high-dimensional simulation data (like the ones arising in molecular dynamics or kinetic Monte Carlo simulations of physical and chemical processes) is crucial to understanding physical…

Chemical Physics · Physics 2015-06-16 Carmeline J. Dsilva , Ronen Talmon , Neta Rabin , Ronald R. Coifman , Ioannis G. Kevrekidis

A central challenge in data visualization is to understand which data samples are required to generate an image of a data set in which the relevant information is encoded. In this work, we make a first step towards answering the question of…

Graphics · Computer Science 2021-03-12 Sebastian Weiss , Mustafa Işık , Justus Thies , Rüdiger Westermann

Many problems in real-world applications involve predicting several random variables which are statistically related. Markov random fields (MRFs) are a great mathematical tool to encode such relationships. The goal of this paper is to…

Machine Learning · Computer Science 2015-04-29 Liang-Chieh Chen , Alexander G. Schwing , Alan L. Yuille , Raquel Urtasun

Many recently introduced enhanced sampling techniques are based on biasing coarse descriptors (collective variables) of a molecular system on the fly. Sometimes the calculation of such collective variables is expensive and becomes a…

Computational Physics · Physics 2015-09-01 Marco Jacopo Ferrarotti , Sandro Bottaro , Andrea Pérez-Villa , Giovanni Bussi

The human visual system is an intricate network of brain regions that enables us to recognize the world around us. Despite its abundant lateral and feedback connections, object processing is commonly viewed and studied as a feedforward…

Neurons and Cognition · Quantitative Biology 2019-10-09 Tim C Kietzmann , Courtney J Spoerer , Lynn Sörensen , Radoslaw M Cichy , Olaf Hauk , Nikolaus Kriegeskorte

In this work, we are interested in generalizing convolutional neural networks (CNNs) from low-dimensional regular grids, where image, video and speech are represented, to high-dimensional irregular domains, such as social networks, brain…

Machine Learning · Computer Science 2017-02-07 Michaël Defferrard , Xavier Bresson , Pierre Vandergheynst

Motivation: Tumor classification using Imaging Mass Spectrometry (IMS) data has a high potential for future applications in pathology. Due to the complexity and size of the data, automated feature extraction and classification steps are…

Machine Learning · Statistics 2018-06-28 Jens Behrmann , Christian Etmann , Tobias Boskamp , Rita Casadonte , Jörg Kriegsmann , Peter Maass

Powerful deep learning tools, such as convolutional neural networks (CNN), are able to learn the input-output relationships of large complicated systems directly from data. Encoder-decoder deep CNNs are able to extract features directly…

Machine Learning · Statistics 2021-06-08 Alexander Scheinker , Frederick Cropp , Sergio Paiagua , Daniele Filippetto

Solving computer vision problems through machine learning, one often encounters lack of sufficient training data. To mitigate this we propose the use of ensembles of weak learners based on spectral total-variation (STV) features (Gilboa…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Anna Rosenberg , John Kennedy , Zohar Keidar , Yehoshua Y. Zeevi , Guy Gilboa

Understanding transition pathways between two meta-stable states of a molecular system is crucial to advance drug discovery and material design. However, unbiased molecular dynamics (MD) simulations are computationally infeasible because of…

Machine Learning · Computer Science 2025-01-28 Kiyoung Seong , Seonghyun Park , Seonghwan Kim , Woo Youn Kim , Sungsoo Ahn
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