惯性聚合 高效追踪和阅读你感兴趣的博客、新闻、科技资讯
阅读原文 在惯性聚合中打开

推荐订阅源

量子位
F
Fortinet All Blogs
小众软件
小众软件
人人都是产品经理
人人都是产品经理
The Cloudflare Blog
OSCHINA 社区最新新闻
OSCHINA 社区最新新闻
Microsoft Azure Blog
Microsoft Azure Blog
J
Java Code Geeks
有赞技术团队
有赞技术团队
D
DataBreaches.Net
Hugging Face - Blog
Hugging Face - Blog
V
Visual Studio Blog
A
About on SuperTechFans
I
InfoQ
The GitHub Blog
The GitHub Blog
Engineering at Meta
Engineering at Meta
雷峰网
雷峰网
H
Hackread – Cybersecurity News, Data Breaches, AI and More
罗磊的独立博客
C
Check Point Blog
大猫的无限游戏
大猫的无限游戏
Cyber Security Advisories - MS-ISAC
Cyber Security Advisories - MS-ISAC
酷 壳 – CoolShell
酷 壳 – CoolShell
MyScale Blog
MyScale Blog

cs.DS updates on arXiv.org

PAC Learning with Bandit Feedback: Sharp Sample Complexity in the Realizable Setting Algorithms with Polynomially-Improved Approximation Factors for the $2 \rightarrow q$ Norm, and Applications A computational phase transition for learning-to-sample from Ising models Covering vertices by sequential stars Fermi-Dirac machines as quantizations of neurons A Comprehensive Evaluation of Vertex Elimination Algorithms for Algorithmic Differentiation A Tight Bound on Localization of Electrical Flows Optimal Dimension-Free Sampling for Regularized Classification Reducing the Randomness in Partition Oracles for Bounded Degree Minor-Free Graphs Beyond the Half-Approximation: Fair and Efficient Online Class Matching Efficient Uniform Sampling of Surjections via their Profiles Tractable Maximization of Budgeted Phylogenetic Diversity on Networks Utilizing Node Scanwidth Fairness in Aggregation: Optimal Top-$k$ and Improved Full Ranking Learning-Augmented Online Scheduling with Parsimonious Preemption Entropy Equivalence Testing Lumberjack: Better Differentially Private Random Forests through Heavy Hitter Detection in Trees The Secretary Problem with a Stochastic Precursor Polynomial-Time Robust Multiclass Linear Classification under Gaussian Marginals Efficient Banzhaf-Based Data Valuation for $k$-Nearest Neighbors Classification Block-Sphere Vector Quantization An Approximation Algorithm for Graph Label Selection Iterative Chow Filtering for Learning with Distribution Shift Complexity of Non-Log-Concave Sampling in Fisher Information Stochastic Matching via Local Sparsification Finite Sample Bounds for Learning with Score Matching What is Learnable in Valiant's Theory of the Learnable? Provable Quantization with Randomized Hadamard Transform Min-Max Optimization Requires Exponentially Many Queries Fast and Compact Graph Cuts for the Boykov-Kolmogorov Algorithm A proximal gradient algorithm for composite log-concave sampling
Reducing Maximum Weighted Matching to the Largest Cardina...
Vahan Mkrtchyan · 2023-01-03 · via cs.DS updates on arXiv.org

In this paper, we reduce the maximum weighted matching problem to the largest cardinality matching in {\bf CONGEST}. The paper presents two technical contributions. The first of them is a simple $poly(\log n, \frac{1}{\varepsilon}, t, \ln w_t)$-round {\bf CONGEST} algorithm for reducing the maximum weighted matching problem to the largest cardinality matching problem. This is achieved under the assumption that all vertices know all edge-weights $\{w_1,....,w_t\}$ (in particular, they know $t$, the number of different edge-weights), though a particular vertex may not know the weight of a particular edge. Our second ingredient is a simple rounding algorithm (similar to approximation algorithms for the bin packing problem) allowing to reduce general instances of the maximum weighted matching problem to ones satisfying the assumptions of the first ingredient, in which $t\leq poly'(\log n, \frac{1}{\varepsilon})$. We end the paper with a brief discussion of implementing our algorithms in {\bf CONGEST}. Our main conclusion is that we just need constant rounds for the reduction.