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We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

Robotics · Computer Science 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

Treating class with a single center may hardly capture data distribution complexities. Using multiple sub-centers is an alternative way to address this problem. However, highly correlated sub-classes, the classifier's parameters grow…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Zhemin Zhang , Xun Gong

Representation learning is increasingly employed to generate representations that are predictive across multiple downstream tasks. The development of representation learning algorithms that provide strong fairness guarantees is thus…

Machine Learning · Computer Science 2023-10-25 Yuhong Luo , Austin Hoag , Philip S. Thomas

Recent studies on many-to-one matching markets have explored agents with flexible capacity and truthful preference reporting, focusing on mechanisms that jointly design capacities and select a matching. However, in real-world applications…

Computer Science and Game Theory · Computer Science 2026-03-11 Maria Bazotte , Margarida Carvalho , Thibaut Vidal

We focus on an online 2-stage problem, motivated by the following situation: consider a system where students shall be assigned to universities. There is a first round where some students apply, and a first (stable) matching $M_1$ has to be…

Data Structures and Algorithms · Computer Science 2023-05-03 Evripidis Bampis , Bruno Escoffier , Paul Youssef

We consider the two-sided stable matching setting in which there may be uncertainty about the agents' preferences due to limited information or communication. We consider three models of uncertainty: (1) lottery model --- in which for each…

Computer Science and Game Theory · Computer Science 2016-07-12 Haris Aziz , Péter Biró , Serge Gaspers , Ronald de Haan , Nicholas Mattei , Baharak Rastegari

We study the stable matching problem under the random matching model where the preferences of the doctors and hospitals are sampled uniformly and independently at random. In a balanced market with $n$ doctors and $n$ hospitals, the…

Computer Science and Game Theory · Computer Science 2025-08-12 Simon Mauras , Pawel Pralat , Adrian Vetta

We study the variant of the stable marriage problem in which the preferences of the agents are allowed to include indifferences. We present a mechanism for producing Pareto-stable matchings in stable marriage markets with indifferences that…

Computer Science and Game Theory · Computer Science 2017-10-13 Nevzat Onur Domaniç , Chi-Kit Lam , C. Gregory Plaxton

Multi-task learning solves multiple correlated tasks. However, conflicts may exist between them. In such circumstances, a single solution can rarely optimize all the tasks, leading to performance trade-offs. To arrive at a set of optimized…

Artificial Intelligence · Computer Science 2024-03-26 Lu Bai , Abhishek Gupta , Yew-Soon Ong

This article addresses the obstacle avoidance problem for setpoint stabilization and path-following tasks in complex dynamic 2D environments that go beyond conventional scenes with isolated convex obstacles. A combined motion planner and…

Robotics · Computer Science 2023-12-11 Albin Dahlin , Yiannis Karayiannidis

In this paper we develop a unified approach for solving a wide class of sequential selection problems. This class includes, but is not limited to, selection problems with no-information, rank-dependent rewards, and considers both fixed as…

Probability · Mathematics 2020-01-27 Alexander Goldenshluger , Yaakov Malinovsky , Assaf Zeevi

Matching markets are often organized in a multi-stage and decentralized manner. Moreover, participants in real-world matching markets often have uncertain preferences. This article develops a framework for learning optimal strategies in…

Computer Science and Game Theory · Computer Science 2021-12-21 Xiaowu Dai , Michael I. Jordan

We study a two-institution stable matching model in which candidates from two distinct groups are evaluated using partially correlated signals that are group-biased. This extends prior work (which assumes institutions evaluate candidates in…

Physics and Society · Physics 2025-11-11 Amit Kumar , Nisheeth K. Vishnoi

The halting problem for Turing machines is decidable on a set of asymptotic probability one. Specifically, there is a set B of Turing machine programs such that (i) B has asymptotic probability one, so that as the number of states n…

Logic · Mathematics 2007-05-23 Joel David Hamkins , Alexei Miasnikov

Fixed-frequency control in robotics imposes a trade-off between the efficiency of low-frequency control and the robustness of high-frequency control, a limitation not seen in adaptable biological systems. We address this with a…

Robotics · Computer Science 2025-10-28 Arnav Sukhija , Lenart Treven , Jin Cheng , Florian Dörfler , Stelian Coros , Andreas Krause

Supervised learning systems are trained using historical data and, if the data was tainted by discrimination, they may unintentionally learn to discriminate against protected groups. We propose that fair learning methods, despite training…

Machine Learning · Computer Science 2026-01-22 Przemyslaw A. Grabowicz , Nicholas Perello , Kenta Takatsu

Public transit systems are the backbone of urban mobility systems in the era of urbanization. The design of transit schedules is important for the efficient and sustainable operation of public transit. However, previous studies usually…

Optimization and Control · Mathematics 2022-11-15 Xiaotong Guo , Baichuan Mo , Haris N. Koutsopoulos , Shenhao Wang , Jinhua Zhao

Humans often resolve visual uncertainty by comparing an image with relevant examples, but ViTs lack the ability to identify which examples would improve their predictions. We present Task-Aligned Context Selection (TACS), a framework that…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Jingyu Guo , Emir Konuk , Fredrik Strand , Christos Matsoukas , Kevin Smith

Recent literature shows that dynamic matching mechanisms may outperform the standard mechanisms to deliver desirable results. We highlight an under-explored design dimension, the time constraints that students face under such a dynamic…

Theoretical Economics · Economics 2022-07-26 Li Chen , Juan S. Pereyra , Min Zhu

We investigate the following many-to-one stable matching problem with diversity constraints (SMTI-Diverse): Given a set of students and a set of colleges which have preferences over each other, where the students have overlapping types, and…

Computer Science and Game Theory · Computer Science 2020-01-29 Jiehua Chen , Robert Ganian , Thekla Hamm