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We consider a variant of the set covering problem with uncertain parameters, which we refer to as the chance-constrained set multicover problem (CC-SMCP). In this problem, we assume that there is uncertainty regarding whether a selected set…

Optimization and Control · Mathematics 2026-05-04 Shunyu Yao , Neng Fan , Pavlo Krokhmal

Given a dataset $S$ of points in $\mathbb{R}^2$, the range closest-pair (RCP) problem aims to preprocess $S$ into a data structure such that when a query range $X$ is specified, the closest-pair in $S \cap X$ can be reported efficiently.…

Computational Geometry · Computer Science 2018-04-03 Jie Xue , Yuan Li , Saladi Rahul , Ravi Janardan

The conformal Skorokhod embedding problem (CSEP) is a planar variant of the classical problem where the solution is now a simply connected domain $D\subset\mathbb{C}$ whose exit time embeds a given probability distribution $\mu$ by…

Probability · Mathematics 2020-06-03 Phanuel Mariano , Hugo Panzo

Decision trees are a widely used method for classification, both by themselves and as the building blocks of multiple different ensemble learning methods. The Max-Cut decision tree involves novel modifications to a standard, baseline model…

Machine Learning · Computer Science 2020-06-26 Jonathan Bodine , Dorit S. Hochbaum

In this paper we develop finite difference schemes for elliptic problems with piecewise continuous coefficients that have (possibly huge) jumps across fixed internal interfaces. In contrast with such problems involving one smooth…

Numerical Analysis · Mathematics 2023-02-21 Qiwei Feng , Bin Han , Peter Minev

We introduce a type of safe extremum seeking (ES) controller, which minimizes an unknown objective function while also maintaining practical positivity of an unknown barrier function. We show semi-global practical asymptotic stability of…

Optimization and Control · Mathematics 2023-09-28 Alan Williams , Miroslav Krstic , Alexander Scheinker

Close Enough Traveling Salesman Problem (CETSP) is a well-known variant of TSP whereby the agent may complete its mission at any point within a target neighborhood. Heuristics based on overlapped neighborhoods, known as Steiner Zones (SZ),…

Neural and Evolutionary Computing · Computer Science 2024-05-16 Qiuchen Qian , Yanran Wang , David Boyle

Safe-interval path planning (SIPP) is a powerful algorithm for finding a path in the presence of dynamic obstacles. SIPP returns provably optimal solutions. However, in many practical applications of SIPP such as path planning for robots,…

Artificial Intelligence · Computer Science 2020-06-03 Konstantin Yakovlev , Anton Andreychuk , Roni Stern

Semantic segmentation is one of the most attractive research fields in computer vision. In the VIPriors challenge, only very limited numbers of training samples are allowed, leading to that the current state-of-the-art and deep…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Chih-Chung Hsu , Hsin-Ti Ma

We consider the stochastic variational inequality problem in which the map is expectation-valued in a component-wise sense. Much of the available convergence theory and rate statements for stochastic approximation schemes are limited to…

Optimization and Control · Mathematics 2019-11-25 Aswin Kannan , Uday V. Shanbhag

CSP sparsification, introduced by Kogan and Krauthgamer (ITCS 2015), considers the following question: how much can an instance of a constraint satisfaction problem be sparsified (by retaining a reweighted subset of the constraints) while…

Data Structures and Algorithms · Computer Science 2024-11-07 Sanjeev Khanna , Aaron L. Putterman , Madhu Sudan

When dealing with right-censored data, where some outcomes are missing due to a limited observation period, survival analysis -- known as time-to-event analysis -- focuses on predicting the time until an event of interest occurs. Multiple…

Machine Learning · Statistics 2024-10-23 Julie Alberge , Vincent Maladière , Olivier Grisel , Judith Abécassis , Gaël Varoquaux

We present a deterministic (1+sqrt(5))/2-approximation algorithm for the s-t path TSP for an arbitrary metric. Given a symmetric metric cost on n vertices including two prespecified endpoints, the problem is to find a shortest Hamiltonian…

Data Structures and Algorithms · Computer Science 2011-11-03 Hyung-Chan An , Robert Kleinberg , David B. Shmoys

Decision trees and their ensembles are endowed with a rich set of diagnostic tools for ranking and screening variables in a predictive model. Despite the widespread use of tree based variable importance measures, pinning down their…

Machine Learning · Statistics 2020-12-14 Jason M. Klusowski , Peter M. Tian

In industrial X-ray Computed Tomography (CT), the need for rapid in-line inspection is critical. Sparse-angle tomography plays a significant role in this by reducing the required number of projections, thereby accelerating processing and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Tianyuan Wang , Felix Lucka , Daniël M. Pelt , K. Joost Batenburg , Tristan van Leeuwen

Machine learning models used in medical applications often face challenges due to the covariate shift, which occurs when there are discrepancies between the distributions of training and target data. This can lead to decreased predictive…

Machine Learning · Computer Science 2024-12-24 Mingyang Cai , Thomas Klausch , Mark A. van de Wiel

Prioritized Experience Replay (ER) has been empirically shown to improve sample efficiency across many domains and attracted great attention; however, there is little theoretical understanding of why such prioritized sampling helps and its…

Artificial Intelligence · Computer Science 2022-06-14 Yangchen Pan , Jincheng Mei , Amir-massoud Farahmand , Martha White , Hengshuai Yao , Mohsen Rohani , Jun Luo

The fixed template Promise Constraint Satisfaction Problem (PCSP) is a recently proposed significant generalization of the fixed template CSP, which includes approximation variants of satisfiability and graph coloring problems. All the…

Computational Complexity · Computer Science 2019-09-12 Libor Barto

The study of phase transition phenomenon of NP complete problems plays an important role in understanding the nature of hard problems. In this paper, we follow this line of research by considering the problem of counting solutions of…

Artificial Intelligence · Computer Science 2011-02-25 Minghao Yin , Ping Huang

We derive the explicit solutions to singular stochastic control problems of the monotone follower type with (a) an expected discounted criterion, (b) an expected ergodic criterion and (c) a pathwise ergodic criterion. These problems have…

Optimization and Control · Mathematics 2025-02-05 Gechun Liang , Zhesheng Liu , Mihail Zervos
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