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Block-structured integer linear programs (ILPs) play an important role in various application fields. We address $n$-fold ILPs where the matrix $\mathcal{A}$ has a specific structure, i.e., where the blocks in the lower part of…

Data Structures and Algorithms · Computer Science 2025-10-13 Klaus Jansen , Kai Kahler , Lis Pirotton , Malte Tutas

Many clustering problems in computer vision and other contexts are also classification problems, where each cluster shares a meaningful label. Subspace clustering algorithms in particular are often applied to problems that fit this…

Machine Learning · Computer Science 2017-09-15 John Lipor , Laura Balzano

In this paper we consider the problem of computing an optimal set of motion primitives for a lattice planner. The objective we consider is to compute a minimal set of motion primitives that t-span a configuration space lattice. A set of…

Robotics · Computer Science 2019-03-26 Alexander Botros , Stephen L. Smith

We consider the problem of efficiently solving large-scale linear least squares problems that have one or more linear constraints that must be satisfied exactly. Whilst some classical approaches are theoretically well founded, they can face…

Numerical Analysis · Mathematics 2021-12-24 Jennifer Scott , Miroslav Tuma

A $t$-covering array with entries from the alphabet ${\cal Q}=\{0,1,\ldots,q-1\}$ is a $k\times n$ stack, so that for any choice of $t$ (typically non-consecutive) columns, each of the $q^{t}$ possible $t$-letter words over ${\cal Q}$…

Combinatorics · Mathematics 2014-05-13 Ruyue Yuan , Zoe Koch , Anant Godbole

Many location-based services use Received Signal Strength (RSS) measurements due to their universal availability. In this paper, we study the association of a large number of low-cost Internet-of-Things (IoT) sensors and their possible…

Information Retrieval · Computer Science 2021-11-04 Yulong Wang , Shenghong Li , Wei Ni , David Abbott , Mark Johnson , Guangyu Pei , Mark Hedley

Sparse Subspace Clustering (SSC) has been used extensively for subspace identification tasks due to its theoretical guarantees and relative ease of implementation. However SSC has quadratic computation and memory requirements with respect…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Stephen Tierney , Yi Guo , Junbin Gao

In this paper, the problem of assigning channel slots to a number of contending stations is modeled as a Constraint Satisfaction Problem (CSP). A learning MAC protocol that uses deterministic backoffs after successful transmissions is used…

Networking and Internet Architecture · Computer Science 2012-10-15 Jaume Barcelo , Nuria Garcia , Azadeh Faridi , Simon Oechsner , Boris Bellalta

Ensuring the functional safety of highly configurable systems often requires testing representative subsets of all possible configurations to reduce testing effort and save resources. The ratio of covered t-wise feature interactions (i.e.,…

Software Engineering · Computer Science 2024-07-01 Tobias Pett , Sebastian Krieter , Thomas Thüm , Ina Schaefer

This paper studies a strategy for data-driven algorithm design for large-scale combinatorial optimization problems that can leverage existing state-of-the-art solvers in general purpose ways. The goal is to arrive at new approaches that can…

Optimization and Control · Mathematics 2020-12-24 Jialin Song , Ravi Lanka , Yisong Yue , Bistra Dilkina

Integrating combinatorial optimization layers into neural networks has recently attracted significant research interest. However, many existing approaches lack theoretical guarantees or fail to perform adequately when relying on inexact…

Machine Learning · Computer Science 2025-09-30 Germain Vivier-Ardisson , Mathieu Blondel , Axel Parmentier

In order to study real-world systems, many applied works model them through signed graphs, i.e. graphs whose edges are labeled as either positive or negative. Such a graph is considered as structurally balanced when it can be partitioned…

Robotics · Computer Science 2022-03-31 Nejat Arinik , Rosa Figueiredo , Vincent Labatut

Understanding how features interact with each other is of paramount importance in many scientific discoveries and contemporary applications. Yet interaction identification becomes challenging even for a moderate number of covariates. In…

Methodology · Statistics 2016-05-31 Yingying Fan , Yinfei Kong , Daoji Li , Jinchi Lv

Ising formulations are widely utilized to solve combinatorial optimization problems, and a variety of quantum or semiconductor-based hardware has recently been made available. In combinatorial optimization problems, the existence of local…

Applied Physics · Physics 2024-03-15 Yoshiki Sato , Makiko Konoshima , Hirotaka Tamura , Jun Ohkubo

Feature selection is an important preprocessing step in machine learning and data mining. In real-world applications, costs, including money, time and other resources, are required to acquire the features. In some cases, there is a test…

Artificial Intelligence · Computer Science 2013-05-22 Fan Min , Qinghua Hu , William Zhu

This work is inspired by the problem of planning sequences of operations, as welding, in car manufacturing stations where multiple industrial robots cooperate. The goal is to minimize the station cycle time, \emph{i.e.} the time it takes…

Robotics · Computer Science 2023-09-06 Domenico Spensieri , Johan S. Carlson , Fredrik Ekstedt , Robert Bohlin

A variant of the well-known Knapsack Problem is studied in this paper, where pairs of items are conflicting, and cannot be selected at the same time. This configures a set of hard constraints. The problem, which can be used to model real…

Optimization and Control · Mathematics 2025-06-05 Roberto Montemanni , Derek H. Smith

Typical behavior of the linear programming (LP) problem is studied as a relaxation of the minimum vertex cover, a type of integer programming (IP) problem. A lattice-gas model on the Erd\"os-R\'enyi random graphs of $\alpha$-uniform…

Disordered Systems and Neural Networks · Physics 2016-06-01 Satoshi Takabe , Koji Hukushima

Offline map matching involves aligning historical trajectories of mobile objects, which may have positional errors, with digital maps. This is essential for applications in intelligent transportation systems (ITS), such as route analysis…

Social and Information Networks · Computer Science 2025-05-30 Ruilin Xu , Yuchen Song , Kaijie Li , Xitong Gao , Kejiang Ye , Fan Zhang , Juanjuan Zhao

Arrays are ubiquitous in the context of software verification. However, effective reasoning over arrays is still rare in CP, as local reasoning is dramatically ill-conditioned for constraints over arrays. In this paper, we propose an…

Logic in Computer Science · Computer Science 2013-12-03 Sébastien Bardin , Arnaud Gotlieb
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