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相关论文: A Query-Optimal Algorithm for Finding Counterfactu…

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We study the two-sided stable matching problem with one-sided uncertainty for two sets of agents A and B, with equal cardinality. Initially, the preference lists of the agents in A are given but the preferences of the agents in B are…

数据结构与算法 · 计算机科学 2024-07-16 Evripidis Bampis , Konstantinos Dogeas , Thomas Erlebach , Nicole Megow , Jens Schlöter , Amitabh Trehan

Counterfactuals are widely used in AI to explain how minimal changes to a model's input can lead to a different output. However, established methods for computing counterfactuals typically focus on one-step decision-making, and are not…

Submodular maximization subject to matroid constraints is a central problem with many applications in machine learning. As algorithms are increasingly used in decision-making over datapoints with sensitive attributes such as gender or race,…

数据结构与算法 · 计算机科学 2026-01-16 Sepideh Mahabadi , Sherry Sarkar , Jakub Tarnawski

Counterfactuals have been recognized as an effective approach to explain classifier decisions. Nevertheless, they have not yet been considered in the context of clustering. In this work, we propose the use of counterfactuals to explain…

机器学习 · 计算机科学 2025-01-20 Georgios Vardakas , Antonia Karra , Evaggelia Pitoura , Aristidis Likas

Minimizing a convex, quadratic objective of the form $f_{\mathbf{A},\mathbf{b}}(x) := \frac{1}{2}x^\top \mathbf{A} x - \langle \mathbf{b}, x \rangle$ for $\mathbf{A} \succ 0 $ is a fundamental problem in machine learning and optimization.…

机器学习 · 计算机科学 2019-04-17 Max Simchowitz

Optimizing an interactive system against a predefined online metric is particularly challenging, when the metric is computed from user feedback such as clicks and payments. The key challenge is the counterfactual nature: in the case of Web…

机器学习 · 计算机科学 2014-03-13 Lihong Li , Shunbao Chen , Jim Kleban , Ankur Gupta

Counterfactual instances are a powerful tool to obtain valuable insights into automated decision processes, describing the necessary minimal changes in the input space to alter the prediction towards a desired target. Most previous…

机器学习 · 计算机科学 2021-06-07 Robert-Florian Samoilescu , Arnaud Van Looveren , Janis Klaise

Zeroth-order optimization aims to minimize an objective function using only function evaluations, and is therefore fundamental in black-box optimization, hyperparameter tuning, bandit learning, and adversarial machine learning. While…

最优化与控制 · 数学 2026-04-28 Haishan Ye

We present a time-optimal deterministic distributed algorithm for approximating a minimum weight vertex cover in hypergraphs of rank $f$. This problem is equivalent to the Minimum Weight Set Cover problem in which the frequency of every…

分布式、并行与集群计算 · 计算机科学 2019-05-31 Ran Ben-Basat , Guy Even , Ken-ichi Kawarabayashi , Gregory Schwartzman

Let $f, f_1, \ldots, f_\nV$ be polynomials with rational coefficients in the indeterminates $\bfX=X_1, \ldots, X_n$ of maximum degree $D$ and $V$ be the set of common complex solutions of $\F=(f_1,\ldots, f_\nV)$. We give an algorithm…

符号计算 · 计算机科学 2014-05-08 Aurélien Greuet , Mohab Safey El Din

This work, for the first time, introduces two constant factor approximation algorithms with linear query complexity for non-monotone submodular maximization over a ground set of size $n$ subject to a knapsack constraint, $\mathsf{DLA}$ and…

数据结构与算法 · 计算机科学 2023-07-11 Canh V. Pham , Tan D. Tran , Dung T. K. Ha , My T. Thai

Dense subgraph search in bipartite graphs is a fundamental problem in graph analysis, with wide-ranging applications in fraud detection, recommendation systems, and social network analysis. The recently proposed $(\alpha, \beta)$-dense…

数据库 · 计算机科学 2025-08-27 Yalong Zhang , Rong-Hua Li , Qi Zhang , Guoren Wang

In this paper we describe a new algorithm called Fast Adaptive Sequencing Technique (FAST) for maximizing a monotone submodular function under a cardinality constraint $k$ whose approximation ratio is arbitrarily close to $1-1/e$, is…

机器学习 · 计算机科学 2019-07-16 Adam Breuer , Eric Balkanski , Yaron Singer

In this paper we consider Sparse Fourier Transform (SFT) algorithms for approximately computing the best $s$-term approximation of the Discrete Fourier Transform (DFT) $\mathbf{\hat{f}} \in \mathbb{C}^N$ of any given input vector…

数值分析 · 数学 2017-06-12 Sami Merhi , Ruochuan Zhang , Mark A. Iwen , Andrew Christlieb

We consider the computation of stable approximations to the exact solution $x^\dag$ of nonlinear ill-posed inverse problems $F(x)=y$ with nonlinear operators $F:X\to Y$ between two Hilbert spaces $X$ and $Y$ by the Newton type methods $$…

数值分析 · 数学 2008-10-24 Qinian Jin , Ulrich Tautenhahn

Let $P:\{0,1\}^k \to \{0,1\}$ be a nontrivial $k$-ary predicate. Consider a random instance of the constraint satisfaction problem $\mathrm{CSP}(P)$ on $n$ variables with $\Delta n$ constraints, each being $P$ applied to $k$ randomly chosen…

计算复杂性 · 计算机科学 2017-01-18 Pravesh K. Kothari , Ryuhei Mori , Ryan O'Donnell , David Witmer

This paper gives drastically faster gossip algorithms to compute exact and approximate quantiles. Gossip algorithms, which allow each node to contact a uniformly random other node in each round, have been intensely studied and been adopted…

数据结构与算法 · 计算机科学 2017-11-28 Bernhard Haeupler , Jeet Mohapatra , Hsin-Hao Su

We present a new algorithm for the $c$--approximate nearest neighbor search without false negatives for $l_2^d$. We enhance the dimension reduction method presented in \cite{wygos_red} and combine it with the standard results of Indyk and…

计算几何 · 计算机科学 2017-10-02 Piotr Wygocki

We show that any memory-constrained, first-order algorithm which minimizes $d$-dimensional, $1$-Lipschitz convex functions over the unit ball to $1/\mathrm{poly}(d)$ accuracy using at most $d^{1.25 - \delta}$ bits of memory must make at…

机器学习 · 计算机科学 2024-07-25 Annie Marsden , Vatsal Sharan , Aaron Sidford , Gregory Valiant

We develop and analyze stochastic optimization algorithms for problems in which the expected loss is strongly convex, and the optimum is (approximately) sparse. Previous approaches are able to exploit only one of these two structures,…

机器学习 · 统计学 2012-07-19 Alekh Agarwal , Sahand Negahban , Martin J. Wainwright