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Typical deep clustering methods, while achieving notable progress, can only provide one clustering result per dataset. This limitation arises from their assumption of a fixed underlying data distribution, which may fail to meet user needs…

机器学习 · 计算机科学 2025-12-02 Xinyue Wang , Yuheng Jia , Hui Liu , Junhui Hou

This paper provides an overview of the current landscape of signal processing (SP) on directed graphs (digraphs). Directionality is inherent to many real-world (information, transportation, biological) networks and it should play an…

信号处理 · 电气工程与系统科学 2020-08-04 Antonio G. Marques , Santiago Segarra , Gonzalo Mateos

An increasing amount of digital music is being published daily. Music streaming services often ingest all available music, but this poses a challenge: how to recommend new artists for which prior knowledge is scarce? In this work we aim to…

信息检索 · 计算机科学 2017-07-25 Sergio Oramas , Oriol Nieto , Mohamed Sordo , Xavier Serra

We present a novel graph embedding space (i.e., a set of measures on graphs) for performing statistical analyses of networks. Key improvements over existing approaches include discovery of "motif-hubs" (multiple overlapping significant…

无序系统与神经网络 · 物理学 2007-05-23 Etay Ziv , Robin Koytcheff , Manuel Middendorf , Chris Wiggins

Modelling information from complex systems such as humans social interaction or words co-occurrences in our languages can help to understand how these systems are organized and function. Such systems can be modelled by networks, and network…

计算与语言 · 计算机科学 2024-12-12 Thibault Prouteau , Nicolas Dugué , Simon Guillot

The algebraic approach to the Constraint Satisfaction Problem (CSP) uses high order symmetries of relational structures -- polymorphisms -- to study the complexity of the CSP. In this paper we further develop one of the methods the…

计算机科学中的逻辑 · 计算机科学 2020-07-21 Andrei A. Bulatov

We study the weighted induced bipartite subgraph problem (WIBSP). The goal of WIBSP is, given a graph and nonnegative weights for the nodes, to find a set W of nodes with the maximum total weight such that a subgraph induced by W is…

离散数学 · 计算机科学 2018-07-30 Yotaro Takazawa , Shinji Mizuno

We propose a novel Riemannian method for solving the Extreme multi-label classification problem that exploits the geometric structure of the sparse low-dimensional local embedding models. A constrained optimization problem is formulated as…

最优化与控制 · 数学 2021-10-01 Jayadev Naram , Tanmay Kumar Sinha , Pawan Kumar

We compare alternative computing strategies for solving the constrained lasso problem. As its name suggests, the constrained lasso extends the widely-used lasso to handle linear constraints, which allow the user to incorporate prior…

机器学习 · 统计学 2016-11-08 Brian R. Gaines , Hua Zhou

Many common graph data mining tasks take the form of identifying dense subgraphs (e.g. clustering, clique-finding, etc). In biological applications, the natural model for these dense substructures is often a complete bipartite graph…

数据结构与算法 · 计算机科学 2019-01-28 Kyle Kloster , Blair D. Sullivan , Andrew van der Poel

Constraint Satisfaction Problem (CSP) is a fundamental algorithmic problem that appears in many areas of Computer Science. It can be equivalently stated as computing a homomorphism $\mbox{$\bR \rightarrow \bGamma$}$ between two relational…

计算复杂性 · 计算机科学 2015-10-27 Vladimir Kolmogorov , Michal Rolinek , Rustem Takhanov

We introduce an efficient message passing scheme for solving Constraint Satisfaction Problems (CSPs), which uses stochastic perturbation of Belief Propagation (BP) and Survey Propagation (SP) messages to bypass decimation and directly…

人工智能 · 计算机科学 2016-01-05 Siamak Ravanbakhsh , Russell Greiner

Subgraph matching is the problem of finding all the occurrences of a small graph, called the query, in a larger graph, called the target. Although the problem has been widely studied in simple graphs, few solutions have been proposed for…

Mixed communities of organisms are found in many environments (from the human gut to marine ecosystems) and can have profound impact on human health and the environment. Metagenomics studies the genomic material of such communities through…

基因组学 · 定量生物学 2021-12-23 Hansheng Xue , Vijini Mallawaarachchi , Yujia Zhang , Vaibhav Rajan , Yu Lin

Every Constraint Programming (CP) solver exposes a library of constraints for solving combinatorial problems. In order to be useful, CP solvers need to be bug-free. Therefore the testing of the solver is crucial to make developers and users…

人工智能 · 计算机科学 2018-07-12 Aurélie Massart , Valentin Rombouts , Pierre Schaus

Densest Subgraph Problem (DSP) is an important primitive problem with a wide range of applications, including fraud detection, community detection and DNA motif discovery. Edge-based density is one of the most common metrics in DSP.…

数据库 · 计算机科学 2023-10-31 Yugao Zhu , Shenghua Liu , Wenjie Feng , Xueqi Cheng

Benders decomposition is a widely used method for solving large optimization problems, but its performance is often hindered by the repeated solution of subproblems. We propose a flexible and modular algorithmic framework for accelerating…

最优化与控制 · 数学 2025-08-05 Parth Brahmbhatt , David L. Cole , Victor M. Zavala , Styliani Avraamidou

In this paper we focus on the following constrained reachability problem over edge-labeled graphs like RDF -- "given source node x, destination node y, and a sequence of edge labels (a, b, c, d), is there a path between the two nodes such…

数据库 · 计算机科学 2012-03-14 Medha Atre , Vineet Chaoji , Mohammed J. Zaki

Butterfly minors are a generalisation of the minor containment relation for undirected graphs to directed graphs. Many results in directed structural graph theory use this notion as a central tool next to directed treewidth, a…

组合数学 · 数学 2025-04-01 Gunwoo Kim , Meike Hatzel , Stephan Kreutzer

In this paper, we present a novel way to summarize the structure of large graphs, based on non-parametric estimation of edge density in directed multigraphs. Following coclustering approach, we use a clustering of the vertices, with a…

社会与信息网络 · 计算机科学 2015-08-07 Marc Boullé
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