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We show how to build several data structures of central importance to string processing, taking as input the Burrows-Wheeler transform (BWT) and using small extra working space. Let $n$ be the text length and $\sigma$ be the alphabet size.…

Data Structures and Algorithms · Computer Science 2019-08-14 Nicola Prezza , Giovanna Rosone

We focus on modeling the relationship between an input feature vector and the predicted outcome of a trained decision tree using mixed-integer optimization. This can be used in many practical applications where a decision tree or tree…

Optimization and Control · Mathematics 2025-05-20 Max Biggs , Georgia Perakis

Many of the distributed localization algorithms are based on relaxed optimization formulations of the localization problem. These algorithms commonly rely on first-order optimization methods, and hence may require many iterations or…

Optimization and Control · Mathematics 2016-07-19 Sina Khoshfetrat Pakazad , Emre Özkan , Carsten Fritsche , Anders Hansson , Fredrik Gustafsson

Reservoir computing (RC) is a leading machine learning algorithm for information processing due to its rich expressiveness. A new RC paradigm has recently emerged, showcasing superior performance and delivering more interpretable results…

Emerging Technologies · Computer Science 2024-07-09 Dongliang Wang , Yikun Nie , Gaolei Hu , Hon Ki Tsang , Chaoran Huang

For text retrieval systems, the assumption that all data structures reside in main memory is increasingly common. In this context, we present a novel incremental inverted indexing algorithm for web-scale collections that directly constructs…

Information Retrieval · Computer Science 2013-05-06 Nima Asadi , Jimmy Lin

Robust parameter estimation is a crucial task in several 3D computer vision pipelines such as Structure from Motion (SfM). State-of-the-art algorithms for robust estimation, however, still suffer from difficulties in converging to…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Huu Le , Christopher Zach

During the last ten years, increasing efforts were made to improve and simplify the process from Computer Aided Design (CAD) modeling to a numerical simulation. It has been shown that the transition from one model to another, i.e. the…

Computational Engineering, Finance, and Science · Computer Science 2018-10-01 Benjamin Wassermann , Stefan Kollmannsberger , Tino Bog , Ernst Rank

We develop a semi-analytic deterministic framework for charged-particle transport with continuous slowing-down in energy and angular scattering. Directed transport and energy advection are treated by method-of-characteristics integration,…

Numerical Analysis · Mathematics 2026-02-10 Ben S. Ashby , Alex Lukyanov , Tristan Pryer

In this survey article (which hitherto is an ongoing work-in-progress) we present the formulation of the induction and coinduction principles using the language and conventions of each of order theory, set theory, programming languages'…

Logic in Computer Science · Computer Science 2019-03-13 Moez A. AbdelGawad

The global total-$f$ gyrokinetic particle-in-cell code XGC, used to study transport in magnetic fusion plasmas, implements a continuum grid to perform the dissipative operations, such as plasma collisions. To transfer the distribution…

Plasma Physics · Physics 2021-05-12 Albert Mollén , M. F. Adams , M. G. Knepley , R. Hager , C. S. Chang

A novel approach for structure alignment is presented, where the key ingredients are: (1) An error function formulation of the problem simultaneously in terms of binary (Potts) assignment variables and real-valued atomic coordinates. (2)…

Biological Physics · Physics 2007-05-23 M. Ohlsson , C. Peterson , M. Ringner , R. Blankenbecler

A new relaxed variant of interior point method for low-rank semidefinite programming problems is proposed in this paper. The method is a step outside of the usual interior point framework. In anticipation to converging to a low-rank primal…

Numerical Analysis · Mathematics 2021-03-26 Stefania Bellavia , Jacek Gondzio , Margherita Porcelli

Large language models achieve strong reasoning performance, but inference strategies such as Self-Consistency (SC) are computationally expensive, as they fully expand all reasoning traces. We introduce PoLR (Path of Least Resistance), the…

Artificial Intelligence · Computer Science 2026-02-04 Ishan Jindal , Sai Prashanth Akuthota , Jayant Taneja , Sachin Dev Sharma

Crystal-structure match (CSM), the atom-to-atom correspondence between two crystalline phases, is used extensively to describe solid-solid phase transition (SSPT) mechanisms. However, existing computational methods cannot account for all…

Materials Science · Physics 2025-06-06 Fang-Cheng Wang , Qi-Jun Ye , Yu-Cheng Zhu , Xin-Zheng Li

Efficient construction of checkpoints/snapshots is a critical tool for training and diagnosing deep learning models. In this paper, we propose a lossy compression scheme for checkpoint constructions (called LC-Checkpoint). LC-Checkpoint…

Machine Learning · Computer Science 2020-09-29 Yu Chen , Zhenming Liu , Bin Ren , Xin Jin

We consider the problem of compactly representing the Depth First Search (DFS) tree of a given undirected or directed graph having $n$ vertices and $m$ edges while supporting various DFS related queries efficiently in the RAM with…

Data Structures and Algorithms · Computer Science 2019-06-20 Sankardeep Chakraborty , Kunihiko Sadakane

Term unification plays an important role in many areas of computer science, especially in those related to logic. The universal mechanism of grammar-based compression for terms, in particular the so-called Singleton Tree Grammars (STG),…

Logic in Computer Science · Computer Science 2010-03-13 Adrià Gascón , Guillem Godoy , Manfred Schmidt-Schauß

Classification is one of the core problems in Computer-Aided Diagnosis (CAD), targeting for early cancer detection using 3D medical imaging interpretation. High detection sensitivity with desirably low false positive (FP) rate is critical…

Computer Vision and Pattern Recognition · Computer Science 2014-05-20 Meizhu Liu , Le Lu , Xiaojing Ye , Shipeng Yu

Coarse-graining (CG) of molecular simulations simplifies the particle representation by grouping selected atoms into pseudo-beads and drastically accelerates simulation. However, such CG procedure induces information losses, which makes…

Machine Learning · Computer Science 2022-06-20 Wujie Wang , Minkai Xu , Chen Cai , Benjamin Kurt Miller , Tess Smidt , Yusu Wang , Jian Tang , Rafael Gómez-Bombarelli

Over the years, many different indexing techniques and search algorithms have been proposed, including CSS-trees, CSB+ trees, k-ary binary search, and fast architecture sensitive tree search. There have also been papers on how best to set…

Databases · Computer Science 2017-06-22 Florian Gross