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The Mapper algorithm is an essential tool for visualizing complex, high dimensional data in topology data analysis (TDA) and has been widely used in biomedical research. It outputs a combinatorial graph whose structure implies the shape of…

Machine Learning · Computer Science 2025-04-24 Yuyang Tao , Shufei Ge

An algorithm is proposed to implement unsteady jump boundary conditions, presenting discontinuity in physical quantities, within the lattice Boltzmann method (LBM). This is useful to tackle problems involving mass or heat transfer through…

Computational Physics · Physics 2018-11-06 Badr Kaoui

We present the semi-supervised IMSAT, a versatile classification method that works without labeled data and can be tuned by little additional information. We demonstrate how semi-supervised IMSAT can classify XRD patterns and thermoelectric…

Computational Physics · Physics 2019-03-04 Ryohto Sawada , Yuma Iwasaki , Masahiko Ishida

Detecting influential features in non-linear and/or high-dimensional data is a challenging and increasingly important task in machine learning. Variable selection methods have thus been gaining much attention as well as post-selection…

Statistics Theory · Mathematics 2021-06-18 Tobias Freidling , Benjamin Poignard , Héctor Climente-González , Makoto Yamada

Large Language Models (LLMs) have achieved great success in solving difficult tasks across many domains, but such success comes with a high computation cost, and inference latency. As developers and third parties customize these models, the…

Machine Learning · Computer Science 2023-07-18 Azade Nova , Hanjun Dai , Dale Schuurmans

We consider modeling, inference, and computation for analyzing multivariate binary data. We propose a new model that consists of a low dimensional latent variable component and a sparse graphical component. Our study is motivated by…

Methodology · Statistics 2016-06-30 Yunxiao Chen , Xiaoou Li , Jingchen Liu , Zhiliang Ying

We consider Ising models on the hypercube with a general interaction matrix $J$, and give a polynomial time sampling algorithm when all but $O(1)$ eigenvalues of $J$ lie in an interval of length one, a situation which occurs in many models…

Data Structures and Algorithms · Computer Science 2022-02-21 Frederic Koehler , Holden Lee , Andrej Risteski

A key goal in the design of probabilistic inference algorithms is identifying and exploiting properties of the distribution that make inference tractable. Lifted inference algorithms identify symmetry as a property that enables efficient…

Artificial Intelligence · Computer Science 2019-07-02 Steven Holtzen , Todd Millstein , Guy Van den Broeck

In this work, a novel Eig-PIELM framework is proposed that extends physics-informed extreme learning machine for an efficient and accurate solution of linear eigenvalue problems. The method reformulates the governing differential equations…

Numerical Analysis · Mathematics 2026-02-25 Rishi Mishra , Smriti , Ganapathy Krishnamurthi , Balaji Srinivasan , Sundararajan Natarajan

Based on multiple parallel short molecular dynamics simulation trajectories, we designed the reweighted ensemble dynamics (RED) method to more efficiently sample complex (biopolymer) systems, and to explore their hierarchical metastable…

Statistical Mechanics · Physics 2015-02-24 Linchen Gong , Xin Zhou , Zhong-Can Ou-Yang

We present an algorithm that releases a pure differentially private (under the replacement neighboring relation) sparse histogram for $n$ participants over a domain of size $d \gg n$. Our method achieves the optimal $\ell_\infty$-estimation…

Data Structures and Algorithms · Computer Science 2025-12-25 Florian Kerschbaum , Steven Lee , Hao Wu

We apply the Linear Logarithmic Relaxation (LLR) method, which generalizes the Wang-Landau algorithm to quantum systems with continuous degrees of freedom, to the fermionic Hubbard model with repulsive interactions on the honeycomb lattice.…

High Energy Physics - Lattice · Physics 2020-09-16 Michael Körner , Kurt Langfeld , Dominik Smith , Lorenz von Smekal

Feature selection methods are widely used in order to solve the 'curse of dimensionality' problem. Many proposed feature selection frameworks, treat all data points equally; neglecting their different representation power and importance. In…

Machine Learning · Computer Science 2018-10-04 Ammar Gilani , Maryam Amirmazlaghani

The latent position network model (LPM) is a popular approach for the statistical analysis of network data. A central aspect of this model is that it assigns nodes to random positions in a latent space, such that the probability of an…

Methodology · Statistics 2026-02-02 Chaoyi Lu , Riccardo Rastelli , Nial Friel

In this paper we present simulations of a surface-adsorbed polymer subject to an elongation force. The polymer is modelled by a self-avoiding walk on a regular lattice. It is confined to a half-space by an adsorbing surface with attractions…

Statistical Mechanics · Physics 2007-05-23 J. Krawczyk , T. Prellberg , A. Rechnitzer , A. L. Owczarek

We describe the R package EstemPMM, which implements the Polynomial Maximization Method (PMM) for parameter estimation under non-Gaussian errors. PMM exploits higher-order cumulants of the error distribution -- specifically the third…

Methodology · Statistics 2026-05-05 Serhii Zabolotnii

Finding large or heavy matchings in graphs is a ubiquitous combinatorial optimization problem. In this paper, we engineer the first non-trivial implementations for approximating the dynamic weighted matching problem. Our first algorithm is…

Data Structures and Algorithms · Computer Science 2021-04-28 Eugenio Angriman , Henning Meyerhenke , Christian Schulz , Bora Uçar

In this work we present a new simple but efficient scheme - Subsquares approach - for development of algorithms for enclosing the solution set of overdetermined interval linear systems. We are going to show two algorithms based on this…

Numerical Analysis · Computer Science 2013-05-07 Jaroslav Horáček , Milan Hladík

We present an extension of Felsenstein's algorithm to indel models defined on entire sequences, without the need to condition on one multiple alignment. The algorithm makes use of a generalization from probabilistic substitution matrices to…

Populations and Evolution · Quantitative Biology 2014-10-24 Oscar Westesson , Gerton Lunter , Benedict Paten , Ian Holmes

We engineer a new probabilistic Monte-Carlo algorithm for isomorphism testing. Most notably, as opposed to all other solvers, it implicitly exploits the presence of symmetries without explicitly computing them. We provide extensive…

Data Structures and Algorithms · Computer Science 2020-11-19 Markus Anders , Pascal Schweitzer
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