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In this paper, we present a sharp analysis for a class of alternating projected gradient descent algorithms which are used to solve the covariate adjusted precision matrix estimation problem in the high-dimensional setting. We demonstrate…

Information Theory · Computer Science 2022-01-13 Xiao Lv , Wei Cui , Yulong Liu

Remote sensing scene classification aims to assign a specific semantic label to a remote sensing image. Recently, convolutional neural networks have greatly improved the performance of remote sensing scene classification. However, some…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Zhang Yue , Zheng Xiangtao , Lu Xiaoqiang

The proximal point algorithm is a widely used tool for solving a variety of convex optimization problems such as finding zeros of maximally monotone operators, fixed points of nonexpansive mappings, as well as minimizing convex functions.…

Optimization and Control · Mathematics 2018-04-19 Laurentiu Leustean , Adriana Nicolae , Andrei Sipos

We propose a new clustering algorithm, Extended Affinity Propagation, based on pairwise similarities. Extended Affinity Propagation is developed by modifying Affinity Propagation such that the desirable features of Affinity Propagation,…

Machine Learning · Computer Science 2019-04-17 Rayyan Ahmad Khan , Rana Ali Amjad , Martin Kleinsteuber

Finding patterns in graphs is a fundamental problem in databases and data mining. In many applications, graphs are temporal and evolve over time, so we are interested in finding durable patterns, such as triangles and paths, which persist…

Databases · Computer Science 2024-03-26 Pankaj K. Agarwal , Xiao Hu , Stavros Sintos , Jun Yang

Predicting protein-protein interactions from sequences is an important goal of computational biology. Various sources of information can be used to this end. Starting from the sequences of two interacting protein families, one can use…

Biomolecules · Quantitative Biology 2023-04-26 Carlos A. Gandarilla-Perez , Sergio Pinilla , Anne-Florence Bitbol , Martin Weigt

This paper addresses the task of estimating a covariance matrix under a patternless sparsity assumption. In contrast to existing approaches based on thresholding or shrinkage penalties, we propose a likelihood-based method that regularizes…

Methodology · Statistics 2021-09-13 Jason Xu , Kenneth Lange

We study stochastic optimization with data-adaptive sampling schemes to train pairwise learning models. Pairwise learning is ubiquitous, and it covers several popular learning tasks such as ranking, metric learning and AUC maximization. A…

Machine Learning · Computer Science 2025-04-10 Sijia Zhou , Yunwen Lei , Ata Kabán

We consider the problem of consistently matching multiple sets of elements to each other, which is a common task in fields such as computer vision. To solve the underlying NP-hard objective, existing methods often relax or approximate it,…

Machine Learning · Statistics 2019-07-19 Da Tang , Tony Jebara

This paper presents a new approach to statistical similarity assessment based on sequence alignment. The algorithm performs mutual matching of two random sequences by successively searching for common elements and by applying sequence…

Signal Processing · Electrical Eng. & Systems 2021-06-09 Jakub Nikonowicz , Łukasz Matuszewski , Paweł Kubczak

Computer experiments are performed to investigate why protein contact networks (networks induced by spatial contacts between amino acid residues of a protein) do not have shorter average shortest path lengths in spite of their importance to…

Molecular Networks · Quantitative Biology 2011-06-02 Susan Khor

We consider the problem of aligning a pair of databases with jointly Gaussian features. We consider two algorithms, complete database alignment via MAP estimation among all possible database alignments, and partial alignment via a…

Machine Learning · Statistics 2019-09-04 Osman Emre Dai , Daniel Cullina , Negar Kiyavash

CLeFAPS, a fast and flexible pairwise structural alignment algorithm based on a rigid-body framework, namely CLePAPS, is proposed. Instead of allowing twists (or bends), the flexible in CLeFAPS means: (a) flexibilization of the algorithm's…

Quantitative Methods · Quantitative Biology 2009-03-04 Sheng Wang

The detection of similarities between long DNA and protein sequences is studied using concepts of statistical physics. It is shown that mutual similarities can be detected by sequence alignment methods only if their amount exceeds a…

Condensed Matter · Physics 2009-10-28 Terence Hwa , Michael Lassig

Protein language models are a powerful tool for learning protein representations through pre-training on vast protein sequence datasets. However, traditional protein language models lack explicit structural supervision, despite its…

Biomolecules · Quantitative Biology 2024-02-09 Zuobai Zhang , Jiarui Lu , Vijil Chenthamarakshan , Aurélie Lozano , Payel Das , Jian Tang

This simple note lays out a few observations which are well known in many ways but may not have been said in quite this way before. The basic idea is that when comparing two different Markov chains it is useful to couple them is such a way…

Probability · Mathematics 2017-11-16 James E. Johndrow , Jonathan C. Mattingly

We analyze protein-protein interaction networks for six different species under the framework of random matrix theory. Nearest neighbor spacing distribution of the eigenvalues of adjacency matrices of the largest connected part of these…

Molecular Networks · Quantitative Biology 2014-05-20 Ankit Agrawal , Camellia Sarkar , Sanjiv K. Dwivedi , Nitesh Dhasmana , Sarika Jalan

The idea that structural disorder might be a novel mechanism of protein interaction is widespread in the Literature, although the number of statistically significant structural studies supporting this is surprisingly low. At variance with…

Disordered Systems and Neural Networks · Physics 2021-03-01 Beatriz Seoane , Alessandra Carbone

Recently described stochastic models of protein evolution have demonstrated that the inclusion of structural information in addition to amino acid sequences leads to a more reliable estimation of evolutionary parameters. We present a…

Populations and Evolution · Quantitative Biology 2020-09-22 Michael Golden , Eduardo García-Portugués , Michael Sørensen , Kanti V. Mardia , Thomas Hamelryck , Jotun Hein

Recently, the influence of potentially present symmetries has begun to be studied in complex networks. A typical way of studying symmetries is via the automorphism group of the corresponding graph. Since complex networks are often subject…

Social and Information Networks · Computer Science 2025-02-26 David Hartman , Jaroslav Hlinka , Anna Pidnebesna , František Szczepanik