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On the Euclidean domains of classical signal processing, linking of signal samples to the underlying coordinate structure is straightforward. While graph adjacency matrices totally define the quantitative associations among the underlying…

Signal Processing · Electrical Eng. & Systems 2021-06-07 Aykut Koç , Yigit E. Bayiz

In this paper, we introduce a method called graph fusion embedding, designed for multi-graph embedding with shared vertex sets. Under the framework of supervised learning, our method exhibits a remarkable and highly desirable synergistic…

Social and Information Networks · Computer Science 2024-06-27 Cencheng Shen , Carey E. Priebe , Jonathan Larson , Ha Trinh

We tackle the problem of finding good architectures for multimodal classification problems. We propose a novel and generic search space that spans a large number of possible fusion architectures. In order to find an optimal architecture for…

Machine Learning · Computer Science 2019-03-18 Juan-Manuel Pérez-Rúa , Valentin Vielzeuf , Stéphane Pateux , Moez Baccouche , Frédéric Jurie

Graphs are a natural representation for systems based on relations between connected entities. Combinatorial optimization problems, which arise when considering an objective function related to a process of interest on discrete structures,…

Machine Learning · Computer Science 2024-08-21 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

In resolving instances of a computational problem, if multiple instances of interest share a feature in common, it may be fruitful to compile this feature into a format that allows for more efficient resolution, even if the compilation is…

Computational Complexity · Computer Science 2015-03-03 Hubie Chen

Runtime software patching aims to minimize or eliminate service downtime, user interruptions and potential data losses while deploying a patch. Due to modern software systems' high variance and heterogeneity, no universal solutions are…

Software Engineering · Computer Science 2023-02-23 Chadni Islam , Victor Prokhorenko , M. Ali Babar

Photonics offers a promising platform for implementations of measurement-based quantum computing. Recently proposed fusion-based architectures aim to achieve universality and fault-tolerance. In these approaches, computation is carried out…

Quantum Physics · Physics 2024-09-23 Giovanni de Felice , Boldizsár Poór , Lia Yeh , William Cashman

We describe how orbital graphs can be used to improve the practical performance of many algorithms for permutation groups, including intersection and stabilizer problems. First we explain how orbital graphs can be integrated in partition…

Group Theory · Mathematics 2017-12-05 Christopher Jefferson , Markus Pfeiffer , Rebecca Waldecker

As the world population gets older, the healthcare system must be adapted, among others by providing continuous health monitoring at home and in the city. The social activities have a significant role in everyone health status. Hence, this…

Computers and Society · Computer Science 2016-12-01 Loïc Sevrin , Bertrand Massot , Norbert Noury , Nacer Abouchi , Fabrice Jumel , Jacques Saraydaryan

This paper addresses the problem of scheduling jobs on identical machines with conflict constraints, where certain jobs cannot be scheduled simultaneously on different machines. We focus on the case where conflicts can be represented by a…

Discrete Mathematics · Computer Science 2025-07-03 Nour ElHouda Tellache , Lydia Aoudia , Mourad Boudhar

Assembling parts into an object is a combinatorial problem that arises in a variety of contexts in the real world and involves numerous applications in science and engineering. Previous related work tackles limited cases with identical unit…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Jinhwi Lee , Jungtaek Kim , Hyunsoo Chung , Jaesik Park , Minsu Cho

This article investigates how graph matching can be applied to process plant design data in order to support the reuse of previous designs. A literature review of existing graph matching algorithms is performed, and a group of algorithms is…

Machine Learning · Computer Science 2021-03-24 Miia Rantala , Hannu Niemistö , Tommi Karhela , Seppo Sierla , Valeriy Vyatkin

This paper addresses the problem of synchronizing orthogonal matrices over directed graphs. For synchronized transformations (or matrices), composite transformations over loops equal the identity. We formulate the synchronization problem as…

Optimization and Control · Mathematics 2017-04-10 Johan Thunberg , Florian Bernard , Jorge Goncalves

Many graph problems can be solved using ordered parallel graph algorithms that achieve significant speedup over their unordered counterparts by reducing redundant work. This paper introduces a new priority-based extension to GraphIt, a…

Programming Languages · Computer Science 2020-01-28 Yunming Zhang , Ajay Brahmakshatriya , Xinyi Chen , Laxman Dhulipala , Shoaib Kamil , Saman Amarasinghe , Julian Shun

Graph partitioning is the problem of dividing the nodes of a graph into balanced partitions while minimizing the edge cut across the partitions. Due to its combinatorial nature, many approximate solutions have been developed, including…

Machine Learning · Computer Science 2019-03-05 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

This paper is dedicated to the fused trend filtering on a general graph, which is a combination of fused estimator and 1-st order trend filtering on a graph. There are two cases of fusion regularisers studied in this work: anisotropic total…

Statistics Theory · Mathematics 2024-01-11 Vladimir Pastukhov

Due to recent technological advances, actual quantum devices are being constructed and used to perform computations. As a result, many classical problems are being restated so as to be solved on quantum computers. Some examples include…

Number Theory · Mathematics 2021-10-27 Matthew B. Crawford

Two fundamental algorithm-design paradigms are Tree Search and Dynamic Programming. The techniques used therein have been shown to complement one another when solving the complete set partitioning problem, also known as the coalition…

Multiagent Systems · Computer Science 2018-08-24 Talal Rahwan , Tomasz P. Michalak

Time-frequency representations are important for the analysis of time series. We have developed an online time-series analysis system and equipped it to reliably handle re-alignment in the time-frequency plane. The system can deal with…

Sound · Computer Science 2017-05-18 Coen Jonker , Arryon D. Tijsma , Ronald A. J. van Elburg

Given a complete graph with positive weights on its edges, we define the weight of a subset of edges as the product of weights of the edges in the subset and consider sums (partition functions) of weights over subsets of various kinds:…

Combinatorics · Mathematics 2013-05-14 Alexander Barvinok