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

爱范儿
爱范儿
大猫的无限游戏
大猫的无限游戏
J
Java Code Geeks
MongoDB | Blog
MongoDB | Blog
Martin Fowler
Martin Fowler
GbyAI
GbyAI
Microsoft Azure Blog
Microsoft Azure Blog
Recent Announcements
Recent Announcements
F
Fortinet All Blogs
B
Blog
U
Unit 42
B
Blog RSS Feed
D
DataBreaches.Net
Google DeepMind News
Google DeepMind News
人人都是产品经理
人人都是产品经理
腾讯CDC
量子位
酷 壳 – CoolShell
酷 壳 – CoolShell
V
Visual Studio Blog
博客园 - 聂微东
MyScale Blog
MyScale Blog
奇客Solidot–传递最新科技情报
奇客Solidot–传递最新科技情报
博客园 - 三生石上(FineUI控件)
Engineering at Meta
Engineering at Meta

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
Sort well with energy-constrained comparisons
Barbara Geissmann, Paolo Penna · 2016-10-28 · via cs.DS updates on arXiv.org

We study very simple sorting algorithms based on a probabilistic comparator model. In our model, errors in comparing two elements are due to (1) the energy or effort put in the comparison and (2) the difference between the compared elements. Such algorithms keep comparing pairs of randomly chosen elements, and they correspond to Markovian processes. The study of these Markov chains reveals an interesting phenomenon. Namely, in several cases, the algorithm which repeatedly compares only adjacent elements is better than the one making arbitrary comparisons: on the long-run, the former algorithm produces sequences that are "better sorted". The analysis of the underlying Markov chain poses new interesting questions as the latter algorithm yields a non-reversible chain and therefore its stationary distribution seems difficult to calculate explicitly.