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An applied problem facing all areas of data science is harmonizing data sources. Joining data from multiple origins with unmapped and only partially overlapping features is a prerequisite to developing and testing robust, generalizable…

Deep image-based modeling received lots of attention in recent years, yet the parallel problem of sketch-based modeling has only been briefly studied, often as a potential application. In this work, for the first time, we identify the main…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Yue Zhong , Yulia Gryaditskaya , Honggang Zhang , Yi-Zhe Song

Difference sets are basic combinatorial structures that have applications in signal processing, coding theory, and cryptography. We consider the problem of identifying a shifted version of the characteristic function of a (known) difference…

Quantum Physics · Physics 2016-08-09 Martin Roetteler

While several feature embedding models have been developed in the literature, comparisons of these embeddings have largely focused on their numerical performance in classification-related downstream applications. However, an interpretable…

Machine Learning · Computer Science 2025-08-19 Mohammad Jalali , Bahar Dibaei Nia , Farzan Farnia

We provide some difference triangle sets with scopes that improve upon the best known values. These are found with purpose-built digital circuits realized with field-programmable gate arrays (FPGAs) rather than software algorithms running…

Information Theory · Computer Science 2025-06-11 Mohannad Shehadeh , William Kingsford , Frank R. Kschischang

In the point set embeddability problem, we are given a plane graph $G$ with $n$ vertices and a point set $S$ with $n$ points. Now the goal is to answer the question whether there exists a straight-line drawing of $G$ such that each vertex…

Computational Geometry · Computer Science 2020-05-13 Tanaeem M. Moosa , M. Sohel Rahman

A method is introduced for the construction of meshless discretization schemes which preserve Lie symmetries of the differential equations that these schemes approximate. The method exploits the fact that equivariant moving frames provide a…

Mathematical Physics · Physics 2015-06-11 Alexander Bihlo

The development of novel platforms and techniques for emerging "Big Data" applications requires the availability of real-life datasets for data-driven experiments, which are however out of reach for academic research in most cases as they…

Databases · Computer Science 2013-10-16 Domenico Sacca' , Edoardo Serra , Pietro Dicosta , Antonio Piccolo

This paper presents a novel color scheme designed to address the challenge of visualizing data series with large value ranges, where scale transformation provides limited support. We focus on meteorological data, where the presence of large…

Image and Video Processing · Electrical Eng. & Systems 2023-09-28 Daniel Braun , Kerstin Ebell , Vera Schemann , Laura Pelchmann , Susanne Crewell , Rita Borgo , Tatiana von Landesberger

In data stream applications, one of the critical issues is to estimate the frequency of each item in the specific multiset. The multiset means that each item in this set can appear multiple times. The data streams in many applications are…

Data Structures and Algorithms · Computer Science 2020-01-07 Ning Li

This work proposes a class of differentially private mechanisms for linear queries, in particular range queries, that leverages correlated input perturbation to simultaneously achieve unbiasedness, consistency, statistical transparency, and…

Cryptography and Security · Computer Science 2024-11-08 Prathamesh Dharangutte , Jie Gao , Ruobin Gong , Guanyang Wang

In this work, we consider the problem of synchronizing two sets of data where the size of the symmetric difference between the sets is small and, in addition, the elements in the symmetric difference are related through the Hamming distance…

Information Theory · Computer Science 2018-09-14 Ryan Gabrys , Farzad Farnoud

The balanced incomplete block design (BIBD) problem is a difficult combinatorial problem with a large number of symmetries, which add complexity to its resolution. In this paper, we propose a dual (integer) problem representation that…

Neural and Evolutionary Computing · Computer Science 2024-11-05 David Rodríguez Rueda , Carlos Cotta , Antonio J. Fernández-Leiva

The objective of this work is to establish a mathematical framework for the study of symmetric shift registers over the field GF(2). The present paper gives a new approach where the symmetric shift registers are represented by associated…

Combinatorics · Mathematics 2026-05-08 Jan Søreng

Learning permutations is fundamental to sorting, ranking, and matching, but existing differentiable methods based on entropy-regularized Sinkhorn produce a single softened solution and collapse under ambiguity. We present PermFlow, a…

Machine Learning · Computer Science 2026-05-19 Yimeng Min , Carla P. Gomes

The aim of this paper is to study symmetries of linearly singular differential equations, namely, equations that can not be written in normal form because the derivatives are multiplied by a singular linear operator. The concept of…

Mathematical Physics · Physics 2009-11-07 Xavier Gracia , Josep M. Pons

The construction of numerical value scales (or priority values) is a recurrent topic in decision-aiding research. However, in real contexts, uncertainty and limited cognitive precision often lead decision-makers to provide interval…

General Mathematics · Mathematics 2025-10-21 Diego García-Zamora , José Rui Figueira

We study the problem of response selection for multi-turn conversation in retrieval-based chatbots. The task requires matching a response candidate with a conversation context, whose challenges include how to recognize important parts of…

Computation and Language · Computer Science 2017-11-01 Yu Wu , Wei Wu , Chen Xing , Can Xu , Zhoujun Li , Ming Zhou

The need to compactly and robustly represent item-attribute relations arises in many important tasks, such as faceted browsing and recommendation systems. A popular machine learning approach for this task denotes that an item has an…

Information Retrieval · Computer Science 2023-06-08 Shib Dasgupta , Andrew McCallum , Steffen Rendle , Li Zhang

Finite difference schemes are here solved by means of a linear matrix equation. The theoretical study of the related algebraic system is exposed, and enables us to minimize the error due to a finite difference approximation.

Analysis of PDEs · Mathematics 2007-05-23 Claire David