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This work investigates multi-objective imitation learning: the problem of recovering policies that lie on the Pareto front given demonstrations from multiple Pareto-optimal experts in a Multi-Objective Markov Decision Process (MOMDP).…

Machine Learning · Computer Science 2026-05-19 Ziyad Sheebaelhamd , Luca Viano , Volkan Cevher , Claire Vernade

In several multiobjective decision problems Pairwise Comparison Matrices (PCM) are applied to evaluate the decision variants. The problem that arises very often is the inconsistency of a given PCM. In such a situation it is important to…

Optimization and Control · Mathematics 2024-12-10 Marcin Anholcer , Janos Fülöp

This work presents a descending-price-auction algorithm to obtain the maximum market-clearing price vector (MCP) in unit-demand matching markets with m items by exploiting the combinatorial structure. With a shrewd choice of goods for which…

Computer Science and Game Theory · Computer Science 2017-11-07 Shih-Tang Su , Jacob D. Abernethy , Grant Schoenebeck , Vijay G. Subramanian

In the rapidly evolving research on artificial intelligence (AI) the demand for fast, computationally efficient, and scalable solutions has increased in recent years. The problem of optimizing the computing resources for distributed machine…

Machine Learning · Computer Science 2025-10-30 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee

In this paper, we propose a fast method for exactly enumerating a very large number of all lower cost solutions for various combinatorial problems. Our method is based on backtracking for a given decision diagram which represents all the…

Data Structures and Algorithms · Computer Science 2022-04-29 Shin-ichi Minato , Mutsunori Banbara , Takashi Horiyama , Jun Kawahara , Ichigaku Takigawa , Yutaro Yamaguchi

Given a large graph G = (V,E) with millions of nodes and edges, how do we compute its connected components efficiently? Recent work addresses this problem in map-reduce, where a fundamental trade-off exists between the number of map-reduce…

Data Structures and Algorithms · Computer Science 2012-11-14 Vibhor Rastogi , Ashwin Machanavajjhala , Laukik Chitnis , Anish Das Sarma

Our goal is to compare two planar point sets by finding subsets of a given size such that a minimum-weight matching between them has the smallest weight. This can be done by a translation of one set that minimizes the weight of the…

Computational Geometry · Computer Science 2018-10-25 Pankaj K. Agarwal , Haim Kaplan , Geva Kipper , Wolfgang Mulzer , Günter Rote , Micha Sharir , Allen Xiao

Hierarchical clustering (HC) algorithms are generally limited to small data instances due to their runtime costs. Here we mitigate this shortcoming and explore fast HC algorithms based on random projections for single (SLC) and average…

Information Retrieval · Computer Science 2014-01-24 Johannes Schneider , Michail Vlachos

The school choice problem concerns the design and implementation of matching mechanisms that produce school assignments for students within a given public school district. In this note we define a simple student-optimal criterion that is…

Optimization and Control · Mathematics 2013-04-30 Sinan Aksoy , Adam Azzam , Chaya Coppersmith , Julie Glass , Gizem Karaali , Xueying Zhao , Xinjing Zhu

Existing distribution compression methods reduce the number of observations in a dataset by minimising the Maximum Mean Discrepancy (MMD) between original and compressed sets, but modern datasets are often large in both sample size and…

Machine Learning · Statistics 2026-01-28 Dominic Broadbent , Nick Whiteley , Robert Allison , Tom Lovett

Multi-dimensional classification (MDC) is the supervised learning problem where an instance is associated with multiple classes, rather than with a single class, as in traditional classification problems. Since these classes are often…

Machine Learning · Computer Science 2014-05-20 Jesse Read , Luca Martino , David Luengo

We design new parallel algorithms for clustering in high-dimensional Euclidean spaces. These algorithms run in the Massively Parallel Computation (MPC) model, and are fully scalable, meaning that the local memory in each machine may be…

Data Structures and Algorithms · Computer Science 2024-07-09 Artur Czumaj , Guichen Gao , Shaofeng H. -C. Jiang , Robert Krauthgamer , Pavel Veselý

Partially Observable Markov Decision Processes (POMDPs) provide an efficient way to model real-world sequential decision making processes. Motivated by the problem of maintenance and inspection of a group of infrastructure components with…

Optimization and Control · Mathematics 2024-08-15 Manav Vora , Pranay Thangeda , Michael N. Grussing , Melkior Ornik

Due to technology advancements and circuits miniaturization, the study of logic systems that can be applied to nanotechnology has been progressing steadily. Among the creation of nanoeletronic circuits reversible and majority logic stand…

Emerging Technologies · Computer Science 2018-10-04 Evandro C. Ferraz , Jeferson de Lima Muniz , Alexandre C. R. da Silva , Gerhard W. Dueck

We consider the problem of scheduling multiprocessor jobs to minimize the total completion time under the given energy budget. Each multiprocessor job requires more than one processor at the same moment of time. Processors may operate at…

Optimization and Control · Mathematics 2021-07-22 Alexander Kononov , Yulia Kovalenko

The Partitioning Min-Max Weighted Matching (PMMWM) problem is an NP-hard problem that combines the problem of partitioning a group of vertices of a bipartite graph into disjoint subsets with limited size and the classical Min-Max Weighted…

Data Structures and Algorithms · Computer Science 2022-01-26 Yuxuan Wang , Jinyao Xie , Jiongzhi Zheng , Kun He

This paper studies randomized approximation algorithm for a variant of the set cover problem called minimum submodular cost partial multi-cover (SCPMC), in which each element $e$ has a covering requirement $r_e$ and a profit $p_e$, and the…

Data Structures and Algorithms · Computer Science 2017-02-02 Yishuo Shi , Zhao Zhang , Ding-Zhu Du

Clustering analysis is of substantial significance for data mining. The properties of big data raise higher demand for more efficient and economical distributed clustering methods. However, existing distributed clustering methods mainly…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-03 Yifeng Xiao , Jiang Xue , Deyu Meng

Constrained Markov Decision Processes (CMDPs) formalize sequential decision-making problems whose objective is to minimize a cost function while satisfying constraints on various cost functions. In this paper, we consider the setting of…

Machine Learning · Computer Science 2020-09-25 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

In this paper we propose a global optimization-based approach to jointly matching a set of images. The estimated correspondences simultaneously maximize pairwise feature affinities and cycle consistency across multiple images. Unlike…

Computer Vision and Pattern Recognition · Computer Science 2015-12-03 Xiaowei Zhou , Menglong Zhu , Kostas Daniilidis
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