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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…

We define a generalized vector partition function and derive an identity for generating series of such functions associated with solutions of basic recurrence relation of combinatorial analysis. As a consequence, we obtain the generating…

复变函数 · 数学 2019-09-05 Alexander P. Lyapin , Sreelatha Chandragiri

Graph matching is a challenging problem with very important applications in a wide range of fields, from image and video analysis to biological and biomedical problems. We propose a robust graph matching algorithm inspired in…

最优化与控制 · 数学 2013-11-26 Marcelo Fiori , Pablo Sprechmann , Joshua Vogelstein , Pablo Musé , Guillermo Sapiro

Multi-view anchor graph clustering selects representative anchors to avoid full pair-wise similarities and therefore reduce the complexity of graph methods. Although widely applied in large-scale applications, existing approaches do not pay…

机器学习 · 计算机科学 2022-10-25 Siwei Wang , Xinwang Liu , Suyuan Liu , Jiaqi Jin , Wenxuan Tu , Xinzhong Zhu , En Zhu

We study theoretical runtime guarantees for a class of optimization problems that occur in a wide variety of inference problems. these problems are motivated by the lasso framework and have applications in machine learning and computer…

数据结构与算法 · 计算机科学 2012-09-10 Hui Han Chin , Aleksander Madry , Gary Miller , Richard Peng

Parallel batched data structures are designed to process synchronized batches of operations in a parallel computing model. In this paper, we propose parallel combining, a technique that implements a concurrent data structure from a parallel…

分布式、并行与集群计算 · 计算机科学 2018-11-14 Vitaly Aksenov , Petr Kuznetsov , Anatoly Shalyto

Array programming languages allow for concise and generic formulations of numerical algorithms, thereby providing a huge potential for program optimisation such as fusion, parallelisation, etc. One of the restrictions that these languages…

编程语言 · 计算机科学 2017-10-12 Artjoms Sinkarovs , Sven-Bodo Scholz

Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Previous efforts for exact algorithms have been unable to avoid structural problems that appear for…

数据结构与算法 · 计算机科学 2007-05-23 Sandor P. Fekete , Joerg Schepers

This paper introduces the fractal interpolation problem defined over domains with a nonlinear partition. This setting generalizes known methodologies regarding fractal functions and provides a new holistic approach to fractal interpolation.…

度量几何 · 数学 2022-08-31 Peter R. Massopust

A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-shift operators. We present a theorem that describes the…

符号计算 · 计算机科学 2013-01-24 Shaoshi Chen , Ruyong Feng , Guofeng Fu , Ziming Li

Soft sets, as a mathematical tool for dealing with uncertainty, have recently gained considerable attention, including some successful applications in information processing, decision, demand analysis, and forecasting. To construct new soft…

人工智能 · 计算机科学 2015-03-20 Ping Zhu , Qiaoyan Wen

Partitioning a graph into blocks of "roughly equal" weight while cutting only few edges is a fundamental problem in computer science with a wide range of applications. In particular, the problem is a building block in applications that…

数据结构与算法 · 计算机科学 2021-05-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Christian Schulz , Daniel Seemaier

Factorization machine (FM) is a prevalent approach to modeling pairwise (second-order) feature interactions when dealing with high-dimensional sparse data. However, on the one hand, FM fails to capture higher-order feature interactions…

机器学习 · 计算机科学 2025-02-24 Shu Wu , Zekun Li , Yunyue Su , Zeyu Cui , Xiaoyu Zhang , Liang Wang

The Function-as-a-Service (FaaS) execution model increases developer productivity by removing operational concerns such as managing hardware or software runtimes. Developers, however, still need to partition their applications into FaaS…

分布式、并行与集群计算 · 计算机科学 2024-10-22 Trever Schirmer , Joel Scheuner , Tobias Pfandzelter , David Bermbach

We propose a novel technique for constructing a graph representation of a code through which we establish a significant connection between the service rate problem and the well-known fractional matching problem. Using this connection, we…

信息论 · 计算机科学 2020-01-27 Fatemeh Kazemi , Esmaeil Karimi , Emina Soljanin , Alex Sprintson

The paper presents complexity results and performance guaranties for a family of approximation algorithms for an optimisation problem arising in software testing and manufacturing. The problem is formulated as a partitioning of a set where…

数据结构与算法 · 计算机科学 2022-12-13 Yakov Zinder , Bertrand M. T. Lin , Joanna Berlińska

Transmitted data may be corrupted by both noise and data loss. Grassmannian frames are in some sense optimal representations of data transmitted over a noisy channel that may lose some of the transmitted coefficients. Fusion frame (or frame…

信息论 · 计算机科学 2013-01-23 Emily J. King

Consensus is an often occurring problem in concurrent and distributed programming. We present a programming language with simple semantics and build-in support for consensus in the form of communicating transactions. We motivate the need…

编程语言 · 计算机科学 2013-05-08 Carlo Spaccasassi , Vasileios Koutavas

Vertex splitting is a graph modification operation in which a vertex is replaced by multiple vertices such that the union of their neighborhoods equals the neighborhood of the original vertex. We introduce and study vertex splitting as a…

计算复杂性 · 计算机科学 2026-02-05 Faisal N. Abu-Khzam , Dipayan Chakraborty , Lucas Isenmann , Nacim Oijid

We study the optimization of navigational graph queries, i.e., queries which combine recursive and pattern-matching fragments. Current approaches to their evaluation are not effective in practice. Towards addressing this, we present a…

数据库 · 计算机科学 2026-05-21 Thomas Mulder , George Fletcher , Nikolay Yakovets