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In this letter, we propose a novel image denoising method based on correlation preserving sparse coding. Because the instable and unreliable correlations among basis set can limit the performance of the dictionary-driven denoising methods,…

计算机视觉与模式识别 · 计算机科学 2016-12-26 Rui Chen , Huizhu Jia , Xiaodong Xie , Wen Gao

Weighted Max-SAT is the optimization version of SAT and many important problems can be naturally encoded as such. Solving weighted Max-SAT is an important problem from both a theoretical and a practical point of view. In recent years, there…

人工智能 · 计算机科学 2007-05-23 Javier Larrosa , Federico Heras , Simon de Givry

Given an undirected graph $G = (V,E)$ with a set $V$ of vertices and a set $E$ of edges, the minimum sum coloring problem (MSCP) is to find a legal vertex coloring of $G$, using colors represented by natural numbers $1, 2, . . .$ such that…

离散数学 · 计算机科学 2013-03-28 Qinghua Wu , Jin-Kao Hao

The problem of sparsifying a graph or a hypergraph while approximately preserving its cut structure has been extensively studied and has many applications. In a seminal work, Bencz\'ur and Karger (1996) showed that given any $n$-vertex…

数据结构与算法 · 计算机科学 2021-06-22 Yu Chen , Sanjeev Khanna , Ansh Nagda

The Circuit Satisfiability (CSAT) problem, a variant of the Boolean Satisfiability (SAT) problem, plays a critical role in integrated circuit design and verification. However, existing SAT solvers, optimized for Conjunctive Normal Form…

计算机科学中的逻辑 · 计算机科学 2025-07-03 Zhengyuan Shi , Tiebing Tang , Jiaying Zhu , Sadaf Khan , Hui-Ling Zhen , Mingxuan Yuan , Zhufei Chu , Qiang Xu

The Minimum Cost Multicut Problem (MP) is a popular way for obtaining a graph decomposition by optimizing binary edge labels over edge costs. While the formulation of a MP from independently estimated costs per edge is highly flexible and…

计算机视觉与模式识别 · 计算机科学 2021-12-13 Steffen Jung , Sebastian Ziegler , Amirhossein Kardoost , Margret Keuper

Large, distributed data streams are now ubiquitous. High-accuracy sketches with low memory overhead have become the de facto method for analyzing this data. For instance, if we wish to group data by some label and report the largest counts…

数据结构与算法 · 计算机科学 2024-02-14 Homin K. Lee , Charles Masson

Graph construction is a crucial step in spectral clustering (SC) and graph-based semi-supervised learning (SSL). Spectral methods applied on standard graphs such as full-RBF, $\epsilon$-graphs and $k$-NN graphs can lead to poor performance…

机器学习 · 统计学 2012-05-09 Jing Qian , Venkatesh Saligrama , Manqi Zhao

Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization and cardinality regularized optimization as special cases. This paper proposes…

最优化与控制 · 数学 2016-12-08 Ganzhao Yuan , Wei-Shi Zheng , Bernard Ghanem

The edge clique cover (ECC) problem -- where the goal is to find a minimum cardinality set of cliques that cover all the edges of a graph -- is a classic NP-hard problem that has received much attention from both the theoretical and…

数据结构与算法 · 计算机科学 2023-07-06 Anthony Hevia , Benjamin Kallus , Summer McClintic , Samantha Reisner , Darren Strash , Johnathan Wilson

We present a method for reducing the treewidth of a graph while preserving all of its minimal $s-t$ separators up to a certain fixed size $k$. This technique allows us to solve $s-t$ Cut and Multicut problems with various additional…

数据结构与算法 · 计算机科学 2015-03-19 Dániel Marx , Barry O'Sullivan , Igor Razgon

Fragment-based shape signature techniques have proven to be powerful tools for computer-aided drug design. They allow scientists to search for target molecules with some similarity to a known active compound. They do not require reference…

人工智能 · 计算机科学 2022-01-05 Thierry Petit , Randy J. Zauhar

We propose quasi-stable coloring, an approximate version of stable coloring. Stable coloring, also called color refinement, is a well-studied technique in graph theory for classifying vertices, which can be used to build compact, lossless…

数据结构与算法 · 计算机科学 2022-11-30 Moe Kayali , Dan Suciu

Program text is rendered using impoverished typographic styles. Beyond choice of fonts and syntax-highlighting colors, code editors and related tools utilize very few text decorations. These limited styles are, furthermore, applied in…

编程语言 · 计算机科学 2025-02-28 Sam Cohen , Ravi Chugh

Graph workloads pose a particularly challenging problem for query optimizers. They typically feature large queries made up of entirely many-to-many joins with complex correlations. This puts significant stress on traditional cardinality…

数据库 · 计算机科学 2025-05-01 Kyle Deeds , Diandre Sabale , Moe Kayali , Dan Suciu

Cross-Lingual Summarization (CLS) is a task that extracts important information from a source document and summarizes it into a summary in another language. It is a challenging task that requires a system to understand, summarize, and…

计算与语言 · 计算机科学 2022-04-26 Yu Bai , Heyan Huang , Kai Fan , Yang Gao , Yiming Zhu , Jiaao Zhan , Zewen Chi , Boxing Chen

The maximum $k$-colorable subgraph (M$k$CS) problem is to find an induced $k$-colorable subgraph with maximum cardinality in a given graph. This paper is an in-depth analysis of the M$k$CS problem that considers various semidefinite…

最优化与控制 · 数学 2021-02-12 Renata Sotirov , Olga Kuryatnikova , Juan Vera

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, has been recently extended to exploit prior knowledge on the cardinality of each cluster. Such knowledge is used to increase performance as well as solution quality.…

最优化与控制 · 数学 2023-10-13 Veronica Piccialli , Antonio M. Sudoso

The Maximum Common Subgraph (MCS) problem plays a key role in many applications, including cheminformatics, bioinformatics, and pattern recognition, where it is used to identify the largest shared substructure between two graphs. Although…

数据结构与算法 · 计算机科学 2026-03-25 Buddhi Kothalawala , Henning Koehler , Muhammad Farhan

Two important optimization problems in the analysis of geometric data sets are clustering and sketching. Here, clustering refers to the problem of partitioning some input metric measure space (mm-space) into k clusters, minimizing some…

计算几何 · 计算机科学 2018-10-19 Facundo Mémoli , Anastasios Sidiropoulos , Kritika Singhal