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Indexing of static and dynamic sets is fundamental to a large set of applications such as information retrieval and caching. Denoting the characteristic vector of the set by B, we consider the problem of encoding sets and multisets to…

数据结构与算法 · 计算机科学 2018-09-17 Ran Ben Basat , Seungbum Jo , Srinivasa Rao Satti , Shubham Ugare

Inference after model selection presents computational challenges when dealing with intractable conditional distributions. Markov chain Monte Carlo (MCMC) is a common method for sampling from these distributions, but its slow convergence…

统计方法学 · 统计学 2023-08-22 Sifan Liu

Randomized dimensionality reduction is a widely-used algorithmic technique for speeding up large-scale Euclidean optimization problems. In this paper, we study dimension reduction for a variety of maximization problems, including…

数据结构与算法 · 计算机科学 2025-06-03 Jie Gao , Rajesh Jayaram , Benedikt Kolbe , Shay Sapir , Chris Schwiegelshohn , Sandeep Silwal , Erik Waingarten

In large scale e-commerce marketplaces, duplicate product listings frequently cause consumer confusion and operational inefficiencies, degrading trust on the platform and increasing costs. Traditional keyword-based search methodologies…

信息检索 · 计算机科学 2025-12-02 Aysenur Kulunk , Berk Taskin , M. Furkan Eseoglu , H. Bahadir Sahin

Information retrieval (IR) systems traditionally aim to maximize metrics built on rankings, such as precision or NDCG. However, the non-differentiability of the ranking operation prevents direct optimization of such metrics in…

信息检索 · 计算机科学 2021-05-04 Thibaut Thonet , Yagmur Gizem Cinar , Eric Gaussier , Minghan Li , Jean-Michel Renders

In this paper, we introduce a novel, non-recursive, maximal matching algorithm for double auctions, which aims to maximize the amount of commodities to be traded. It differs from the usual equilibrium matching, which clears a market at the…

计算机科学与博弈论 · 计算机科学 2013-04-12 Jinzhong Niu , Simon Parsons

The share-of-choice product design (SOCPD) problem is to find the product, as defined by its attributes, that maximizes market share arising from a collection of customer types or segments. When customers follow a logit model of choice, the…

最优化与控制 · 数学 2025-04-08 İrem Akchen , Velibor V. Mišić

Taiwan's auditors have suffered from processing excessive audit data, including drawing audit evidence. This study advances sampling techniques by integrating machine learning with sampling. This machine learning integration helps avoid…

机器学习 · 计算机科学 2024-03-22 Guang-Yih Sheu , Nai-Ru Liu

The well-known Gumbel-Max Trick for sampling elements from a categorical distribution (or more generally a non-negative vector) and its variants have been widely used in areas such as machine learning and information retrieval. To sample a…

机器学习 · 计算机科学 2023-02-13 Yuanming Zhang , Pinghui Wang , Yiyan Qi , Kuankuan Cheng , Junzhou Zhao , Guangjian Tian , Xiaohong Guan

Scientific research and engineering practice often require the modeling and decomposition of nonlinear systems. The Dynamic Mode Decomposition (DMD) is a novel Koopman-based technique that effectively dissects high-dimensional nonlinear…

The proportionate increase in the size of the data with increase in space implies that clustering a very large data set becomes difficult and is a time consuming process.Sampling is one important technique to scale down the size of dataset…

数据库 · 计算机科学 2015-03-13 H. Venkateswara Reddy , Dr. S. Viswanadha Raju , B. Ramasubba Reddy

In this paper, we give new auction algorithms for maximum weighted bipartite matching (MWM) and maximum cardinality bipartite $b$-matching (MCbM). Our algorithms run in $O\left(\log n/\varepsilon^8\right)$ and $O\left(\log…

数据结构与算法 · 计算机科学 2023-07-19 Quanquan C. Liu , Yiduo Ke , Samir Khuller

Matrix completion algorithms fill missing entries in a large matrix given a subset of observed samples. However, how to best pre-select informative matrix entries given a sampling budget is largely unaddressed. In this paper, we propose a…

信号处理 · 电气工程与系统科学 2020-06-24 Fen Wang , Yongchao Wang , Gene Cheung , Cheng Yang

The direct sampling method proposed by Walker et al. (JCGS 2011) can generate draws from weighted distributions possibly having intractable normalizing constants. The method may be of interest as a useful tool in situations which require…

统计计算 · 统计学 2024-01-19 Andrew M. Raim

Recently, many studies have been devoted to finding diverse solutions in classical combinatorial problems, such as Vertex Cover (Baste et al., IJCAI'20), Matching (Fomin et al., ISAAC'20) and Spanning Tree (Hanaka et al., AAAI'21). We…

数据结构与算法 · 计算机科学 2024-09-19 Mark de Berg , Andrés López Martínez , Frits Spieksma

This paper introduces the \emph{$d$-distance $b$-matching problem}, in which we are given a bipartite graph $G=(S,T;E)$ with $S=\{s_1,\dots,s_n\}$, a weight function on the edges, an integer $d\in\mathbb{Z}_+$ and a degree bound function…

离散数学 · 计算机科学 2023-11-29 Péter Madarasi

We consider the fundamental problem of selecting $k$ out of $n$ random variables in a way that the expected highest or second-highest value is maximized. This question captures several applications where we have uncertainty about the…

计算机科学与博弈论 · 计算机科学 2020-12-16 Aranyak Mehta , Uri Nadav , Alexandros Psomas , Aviad Rubinstein

We provide simple and fast polynomial time approximation schemes (PTASs) for several variants of the max-sum diversification problem which, in its most basic form, is as follows: Given n points p_1,...,p_n in R^d and an integer k, select k…

数据结构与算法 · 计算机科学 2016-07-18 Alfonso Cevallos , Friedrich Eisenbrand , Rico Zenklusen

Diversity maximization is a fundamental problem in web search and data mining. For a given dataset $S$ of $n$ elements, the problem requires to determine a subset of $S$ containing $k\ll n$ "representatives" which minimize some diversity…

分布式、并行与集群计算 · 计算机科学 2020-02-11 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci

We consider the sorted top-$k$ problem whose goal is to recover the top-$k$ items with the correct order out of $n$ items using pairwise comparisons. In many applications, multiple rounds of interaction can be costly. We restrict our…

数据结构与算法 · 计算机科学 2019-06-13 Mark Braverman , Jieming Mao , Yuval Peres