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In this work, we consider the problem of distributed approximation of functions over multiple-access channels with additive noise. In contrast to previous works, we take fast fading into account and give explicit probability bounds for the…

Information Theory · Computer Science 2021-03-01 Igor Bjelakovic , Matthias Frey , Slawomir Stanczak

The F-measure, which has originally been introduced in information retrieval, is nowadays routinely used as a performance metric for problems such as binary classification, multi-label classification, and structured output prediction.…

Machine Learning · Statistics 2015-03-09 Willem Waegeman , Krzysztof Dembczynski , Arkadiusz Jachnik , Weiwei Cheng , Eyke Hullermeier

We propose a general formulation, called Multi-X, for multi-class multi-instance model fitting - the problem of interpreting the input data as a mixture of noisy observations originating from multiple instances of multiple classes. We…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Daniel Barath , Jiri Matas

We study a bi-objective optimization problem, which for a given positive real number $n$ aims to find a vector $X = \{x_0,\cdots,x_{k-1}\} \in \mathbb{R}^{k}_{\ge 0}$ such that $\sum_{i=0}^{k-1} x_i = n$, minimizing the maximum of $k$…

Optimization and Control · Mathematics 2022-09-07 Hamidreza Khaleghzadeh , Ravi Reddy Manumachu , Alexey Lastovetsky

We consider fairness in submodular maximization subject to a knapsack constraint, a fundamental problem with various applications in economics, machine learning, and data mining. In the model, we are given a set of ground elements, each…

Data Structures and Algorithms · Computer Science 2025-05-20 Lijun Li , Chenyang Xu , Liuyi Yang , Ruilong Zhang

Space-filling experimental designs are widely used in engineering computer experiments, where only a limited number of expensive model evaluations can be afforded. Distance-based designs such as Maximin or Minimax ensure global…

Computational Engineering, Finance, and Science · Computer Science 2026-03-30 Miroslav Vořechovský , Jan Mašek

We propose a novel method for sampling and optimization tasks based on a stochastic interacting particle system. We explain how this method can be used for the following two goals: (i) generating approximate samples from a given target…

Dynamical Systems · Mathematics 2021-11-05 J. A. Carrillo , F. Hoffmann , A. M. Stuart , U. Vaes

A wide variety of problems in machine learning, including exemplar clustering, document summarization, and sensor placement, can be cast as constrained submodular maximization problems. Unfortunately, the resulting submodular optimization…

Machine Learning · Computer Science 2015-04-23 Rafael da Ponte Barbosa , Alina Ene , Huy L. Nguyen , Justin Ward

It is generally believed that ensemble approaches, which combine multiple algorithms or models, can outperform any single algorithm at machine learning tasks, such as prediction. In this paper, we propose Bayesian convex and linear…

Statistics Theory · Mathematics 2014-03-07 Yun Yang , David B. Dunson

In this paper, we study an optimal output consensus problem for a multi-agent network with agents in the form of multi-input multi-output minimum-phase dynamics. Optimal output consensus can be taken as an extended version of the existing…

Optimization and Control · Mathematics 2018-08-22 Yutao Tang , Zhenhua Deng , Yiguang Hong

The problem of best subset selection in linear regression is considered with the aim to find a fixed size subset of features that best fits the response. This is particularly challenging when the total available number of features is very…

Methodology · Statistics 2023-11-28 Sarat Moka , Benoit Liquet , Houying Zhu , Samuel Muller

Large-scale nonsmooth optimization problems arise in many real-world applications, but obtaining exact function and subgradient values for these problems may be computationally expensive or even infeasible. In many practical settings, only…

Optimization and Control · Mathematics 2026-04-10 Jenni Lampainen , Kaisa Joki , Napsu Karmitsa , Marko M. Mäkelä

We address the fundamental problem of selection under uncertainty by modeling it from the perspective of Bayesian persuasion. In our model, a decision maker with imperfect information always selects the option with the highest expected…

Computer Science and Game Theory · Computer Science 2024-10-16 Siddhartha Banerjee , Kamesh Munagala , Yiheng Shen , Kangning Wang

We consider the problem of subset selection where one is given multiple rankings of items and the goal is to select the highest ``quality'' subset. Score functions from the multiwinner voting literature have been used to aggregate rankings…

Computers and Society · Computer Science 2023-06-19 Niclas Boehmer , L. Elisa Celis , Lingxiao Huang , Anay Mehrotra , Nisheeth K. Vishnoi

As general purpose vision models get increasingly effective at a wide set of tasks, it is imperative that they be consistent across the tasks they support. Inconsistent AI models are considered brittle and untrustworthy by human users and…

Computer Vision and Pattern Recognition · Computer Science 2024-02-23 Adyasha Maharana , Amita Kamath , Christopher Clark , Mohit Bansal , Aniruddha Kembhavi

Finding tight bounds on the optimal solution is a critical element of practical solution methods for discrete optimization problems. In the last decade, decision diagrams (DDs) have brought a new perspective on obtaining upper and lower…

Artificial Intelligence · Computer Science 2019-02-28 Quentin Cappart , Emmanuel Goutierre , David Bergman , Louis-Martin Rousseau

In this paper, we focus on the nonconvex-strongly-concave minimax optimization problem (MCC), where the inner maximization subproblem contains constraints that couple the primal variable of the outer minimization problem. We prove that by…

Optimization and Control · Mathematics 2024-09-02 Xiaoyin Hu , Kim-Chuan Toh , Shiwei Wang , Nachuan Xiao

We introduce \emph{ScalableMax}, a novel communication scheme for achieving max-consensus in a network of multiple agents which harnesses the interference in the wireless channel as well as its multicast capabilities. In a sufficiently…

Information Theory · Computer Science 2021-03-01 Navneet Agrawal , Matthias Frey , Slawomir Stanczak

Maximizing submodular functions under cardinality constraints lies at the core of numerous data mining and machine learning applications, including data diversification, data summarization, and coverage problems. In this work, we study this…

Data Structures and Algorithms · Computer Science 2016-11-01 Alessandro Epasto , Silvio Lattanzi , Sergei Vassilvitskii , Morteza Zadimoghaddam

Multi-view data clustering refers to categorizing a data set by making good use of related information from multiple representations of the data. It becomes important nowadays because more and more data can be collected in a variety of…

Artificial Intelligence · Computer Science 2016-09-16 Yangtao Wang , Lihui Chen