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We address the problem of predicting similarity between a pair of handwritten document images written by different individuals. This has applications related to matching and mining in image collections containing handwritten content. A…

Computer Vision and Pattern Recognition · Computer Science 2016-05-20 Praveen Krishnan , C. V. Jawahar

Image inverse problems have numerous applications, including image processing, super-resolution, and computer vision, which are important areas in image science. These application models can be seen as a three-function composite…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Yunfei Qu , Deren Han

An optimal linear coding solution for index coding problem is established. Instead of network coding approach by focus on graph theoric and algebraic methods a linear coding program for solving both unicast and groupcast index coding…

Information Theory · Computer Science 2015-05-08 Pouya Pezeshkpour

The max-min fair (MMF) multicasting problem is known to be NP-hard. In this work, we analytically derive the optimal solution to this NP-hard problem and establish the equivalence between rate balancing and the optimal MMF multicasting…

Signal Processing · Electrical Eng. & Systems 2026-02-02 Sadaf Syed , Wolfgang Utschick , Michael Joham

We propose an algorithm for solving of the graph isomorphism problem. Also, we introduce the new class of graphs for which the graph isomorphism problem can be solved polynomially using the algorithm.

Combinatorics · Mathematics 2007-05-23 Rashit T. Faizullin , Alexander V. Prolubnikov

In this paper, we will continue the investigation of Waring's problem, and give further improvements.

Combinatorics · Mathematics 2025-01-15 An-Ping Li

Background: Computational analysis of next-generation sequencing data is outpaced by data generation in many cases. In one such case, paired-end reads can be produced from the Illumina sequencing method faster than they can be overlapped by…

Genomics · Quantitative Biology 2013-04-18 Russell J. Dickson , Gregory B. Gloor

A possible method to solve the sign problem is developed by modifying the original theory. Considering several modifications of the partition function, the observable in the original theory is reconstructed from the identity connecting the…

High Energy Physics - Lattice · Physics 2017-11-30 Takahiro M. Doi , Shoichiro Tsutsui

This paper presents fairlib, an open-source framework for assessing and improving classification fairness. It provides a systematic framework for quickly reproducing existing baseline models, developing new methods, evaluating models with…

Machine Learning · Computer Science 2022-05-05 Xudong Han , Aili Shen , Yitong Li , Lea Frermann , Timothy Baldwin , Trevor Cohn

We consider a recent The Vee's fair soup division problem, provide its partial solution, and pose a related open problem.

Classical Analysis and ODEs · Mathematics 2021-02-02 Alex Ravsky

A common standpoint when designing the syntax of programming languages is that the grammar definition has to be unambiguous. However, requiring up front unambiguous grammars can force language designers to make more or less arbitrary…

Formal Languages and Automata Theory · Computer Science 2020-02-05 Viktor Palmkvist , Elias Castegren , Philipp Haller , David Broman

Fairness-aware learning aims at satisfying various fairness constraints in addition to the usual performance criteria via data-driven machine learning techniques. Most of the research in fairness-aware learning employs the setting of…

Machine Learning · Computer Science 2022-05-23 Pratik Gajane , Akrati Saxena , Maryam Tavakol , George Fletcher , Mykola Pechenizkiy

The fair $k$-median problem is one of the important clustering problems. The current best approximation ratio is 4.675 for this problem with 1-fair violation, which was proposed by Bercea et al. [APPROX-RANDOM'2019]. As far as we know,…

Data Structures and Algorithms · Computer Science 2022-02-15 Di Wu , Qilong Feng , Jianxin Wang

Readability is on the cusp of a revolution. Fixed text is becoming fluid as a proliferation of digital reading devices rewrite what a document can do. As past constraints make way for more flexible opportunities, there is great need to…

Given a regular expression $R$ and a string $Q$, the regular expression parsing problem is to determine if $Q$ matches $R$ and if so, determine how it matches, e.g., by a mapping of the characters of $Q$ to the characters in $R$. Regular…

Data Structures and Algorithms · Computer Science 2019-01-30 Philip Bille , Inge Li Gørtz

Several ways to accelerate the solution of 2D/3D linear min-max problems in $n$ constraints are discussed. We also present an algorithm for solving such problems in the 2D case, which is superior to CGAL's linear programming solver, both in…

Numerical Analysis · Computer Science 2012-05-29 Carmi Grushko

In this paper, we revisit the much studied problem of Pattern Matching with Swaps (Swap Matching problem, for short). We first present a graph-theoretic model, which opens a new and so far unexplored avenue to solve the problem. Then, using…

Data Structures and Algorithms · Computer Science 2013-09-19 Pritom Ahmed , Costas S. Iliopoulos , A. S. M. Sohidull Islam , M. Sohel Rahman

We provide elementary and accurate numerical solutions to the differential-difference equation, which improves an explicit version of the linear sieve given by Nathanson.

Number Theory · Mathematics 2020-07-28 Matteo Bordignon

In this article I present a fast and direct method for solving several types of linear finite difference equations (FDE) with constant coefficients. The method is based on a polynomial form of the translation operator and its inverse, and…

Numerical Analysis · Mathematics 2011-11-03 S. Merino

I survey recent progress on a classic and challenging problem in social choice: the fair division of indivisible items. I discuss how a computational perspective has provided interesting insights into and understanding of how to divide…

Artificial Intelligence · Computer Science 2020-05-12 Toby Walsh