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Trace alignment algorithms have been used in process mining for discovering the consensus treatment procedures and process deviations. Different alignment algorithms, however, may produce very different results. No widely-adopted method…

Other Computer Science · Computer Science 2017-09-21 Moliang Zhou , Sen Yang , Shuyu Lv , Xinyu Li , Shuhong Chen , Ivan Marsic , Richard Farneth , Randall Burd

We study approximation algorithms for satisfiable and nearly satisfiable instances of ordering constraint satisfaction problems (ordering CSPs). Ordering CSPs arise naturally in ranking and scheduling, yet their approximability remains…

Data Structures and Algorithms · Computer Science 2026-04-01 Yury Makarychev

Gradient-based dimension reduction decreases the cost of Bayesian inference and probabilistic modeling by identifying maximally informative (and informed) low-dimensional projections of the data and parameters, allowing high-dimensional…

Computation · Statistics 2025-06-02 Ricardo Baptista , Michael Brennan , Youssef Marzouk

Protein engineering is experiencing a paradigmatic shift through the integration of geometric deep learning into computational design workflows. While traditional strategies, such as rational design and directed evolution, have enabled…

Various methods have been developed to analyze the association between organisms and their genomic sequences. Among them, sequence alignment is the most frequently used for comparative analysis of biological genomes. However, the…

Quantitative Methods · Quantitative Biology 2020-10-27 Yong Joon Song , Dong Jin Ji , Hye In Seo , Gyu Bum Han , Dong Ho Cho

The structure of proteins is essential for its function. The determination of protein structures is possible by experimental or predicted by computational methods, but also a combination of both approaches is possible. Here, first an…

Other Quantitative Biology · Quantitative Biology 2020-03-03 Gerhard Mayer

Protein structure prediction remains a challenge in the field of computational biology. Traditional protein structure prediction approaches include template-based modelling (say, homology modelling, and threading), and ab initio. A…

Other Quantitative Biology · Quantitative Biology 2015-07-14 Jianwei Zhu , Haicang Zhang , Chao Wang , Bin Ling , Wei-Mou Zheng , Dongbo Bu

Since proteins carry out biological processes by interacting with other proteins, analyzing the structure of protein-protein interaction (PPI) networks could explain complex biological mechanisms, evolution, and disease. Similarly, studying…

Molecular Networks · Quantitative Biology 2010-04-22 Vesna Memisevic , Tijana Milenkovic , Natasa Przulj

Permutation symmetries of deep networks make basic operations like model merging and similarity estimation challenging. In many cases, aligning the weights of the networks, i.e., finding optimal permutations between their weights, is…

Machine Learning · Computer Science 2024-11-12 Aviv Navon , Aviv Shamsian , Ethan Fetaya , Gal Chechik , Nadav Dym , Haggai Maron

Aligning partially overlapping point sets where there is no prior information about the value of the transformation is a challenging problem in computer vision. To achieve this goal, we first reduce the objective of the robust point…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Wei Lian , WangMeng Zuo , Lei Zhang

In recent years, machine learning has been proposed as a promising strategy to build accurate scoring functions for computational docking finalized to numerically empowered drug discovery. However, the latest studies have suggested that…

Quantitative Methods · Quantitative Biology 2023-02-17 F. Pellicani , D. Dal Ben , A. Perali , S. Pilati

We consider high-order splitting schemes for large-scale differential Riccati equations. Such equations arise in many different areas and are especially important within the field of optimal control. In the large-scale case, it is critical…

Optimization and Control · Mathematics 2018-08-14 Tony Stillfjord

Network alignment generalizes and unifies several approaches for forming a matching or alignment between the vertices of two graphs. We study a mathematical programming framework for network alignment problem and a sparse variation of it…

Optimization and Control · Mathematics 2011-11-03 Mohsen Bayati , David F. Gleich , Amin Saberi , Ying Wang

Structural network embedding is a crucial step in enabling effective downstream tasks for complex systems that aims to project a network into a lower-dimensional space while preserving similarities among nodes. We introduce a simple and…

Social and Information Networks · Computer Science 2024-12-23 Giuseppe Squillace , Mirco Tribastone , Max Tschaikowski , Andrea Vandin

This paper presents a data structure that summarizes distances between configurations across a robot configuration space, using a binary space partition whose cells contain parameters used for a locally linear approximation of the distance…

Robotics · Computer Science 2020-03-02 Josiah Putman , Lisa Oh , Luyang Zhao , Evan Honnold , Galen Brown , Weifu Wang , Devin Balkcom

In a previous paper it was shown that a machine learning regression problem can be solved within the framework of random function theory, with the optimal kernel analytically derived from symmetry and indifference principles and coinciding…

Machine Learning · Computer Science 2025-12-19 Yuriy N. Bakhvalov

This paper addresses the problem of low-rank distance matrix completion. This problem amounts to recover the missing entries of a distance matrix when the dimension of the data embedding space is possibly unknown but small compared to the…

Optimization and Control · Mathematics 2013-04-26 B. Mishra , G. Meyer , R. Sepulchre

Integrative modeling enables structure determination for large macromolecular assemblies by combining data from multiple sources of experiment data with theoretical and computational predictions. Recent advancements in AI-based structure…

Biomolecules · Quantitative Biology 2025-01-24 Kartik Majila , Shreyas Arvindekar , Muskaan Jindal , Shruthi Viswanath

Identifying interacting partners from two sets of protein sequences has important applications in computational biology. Interacting partners share similarities across species due to their common evolutionary history, and feature…

Biomolecules · Quantitative Biology 2024-12-31 Umberto Lupo , Damiano Sgarbossa , Martina Milighetti , Anne-Florence Bitbol

Distance Geometry plays a central role in determining protein structures from Nuclear Magnetic Resonance (NMR) data, a task known as the Molecular Distance Geometry Problem (MDGP). A subclass of this problem, the Discretizable Distance…

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