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Submodular functions are a broad class of set functions, which naturally arise in diverse areas. Many algorithms have been suggested for the maximization of these functions. Unfortunately, once the function deviates from submodularity, the…

Discrete Mathematics · Computer Science 2017-07-17 Lin Chen , Moran Feldman , Amin Karbasi

Subset selection, which aims to select a subset from a ground set to maximize some objective function, arises in various applications such as influence maximization and sensor placement. In real-world scenarios, however, one often needs to…

Neural and Evolutionary Computing · Computer Science 2022-05-10 Chao Bian , Yawen Zhou , Chao Qian

We study a linear contextual optimization problem where a decision maker has access to historical data and contextual features to learn a cost prediction model aimed at minimizing decision error. We adopt the predict-then-optimize framework…

Optimization and Control · Mathematics 2025-04-09 Omar Bennouna , Jiawei Zhang , Saurabh Amin , Asuman Ozdaglar

The quality of digital information on the web has been disquieting due to the lack of careful manual review. Consequently, a large volume of false textual information has been disseminating for a long time since the prevalence of social…

Social and Information Networks · Computer Science 2021-08-10 Qiang Zhang , Hongbin Huang , Shangsong Liang , Zaiqiao Meng , Emine Yilmaz

We present an information-theoretic framework for understanding overfitting and underfitting in machine learning and prove the formal undecidability of determining whether an arbitrary classification algorithm will overfit a dataset.…

Machine Learning · Computer Science 2020-11-10 Daniel Bashir , George D. Montanez , Sonia Sehra , Pedro Sandoval Segura , Julius Lauw

In this paper, we demonstrate a formulation for optimizing coupled submodular maximization problems with provable sub-optimality bounds. In robotics applications, it is quite common that optimization problems are coupled with one another…

Robotics · Computer Science 2021-11-19 Jun Liu , Ryan K. Williams

We study influence maximization on temporal networks. This is a special setting where the influence function is not submodular, and there is no optimality guarantee for solutions achieved via greedy optimization. We perform an exhaustive…

Physics and Society · Physics 2022-09-05 Sirag Erkol , Dario Mazzilli , Filippo Radicchi

The classical problem of maximizing a submodular function under a matroid constraint is considered. Defining a new measure for the increments made by the greedy algorithm at each step, called the discriminant, improved approximation ratio…

Data Structures and Algorithms · Computer Science 2018-10-31 Nived Rajaraman , Rahul Vaze

Pseudo-Labeling is a simple and effective approach to semi-supervised learning. It requires criteria that guide the selection of pseudo-labeled data. The latter have been shown to crucially affect pseudo-labeling's generalization…

Machine Learning · Computer Science 2023-09-27 Julian Rodemann

Identifying cause-effect relations among variables is a key step in the decision-making process. While causal inference requires randomized experiments, researchers and policymakers are increasingly using observational studies to test…

Optimization and Control · Mathematics 2021-11-22 Md Saiful Islam , Md Sarowar Morshed , Md. Noor-E-Alam

Sampling is a fundamental topic in graph signal processing, having found applications in estimation, clustering, and video compression. In contrast to traditional signal processing, the irregularity of the signal domain makes selecting a…

Information Theory · Computer Science 2018-02-14 Luiz F. O. Chamon , Alejandro Ribeiro

We tackle the fundamental problem of Bayesian active learning with noise, where we need to adaptively select from a number of expensive tests in order to identify an unknown hypothesis sampled from a known prior distribution. In the case of…

Machine Learning · Computer Science 2013-12-17 Daniel Golovin , Andreas Krause , Debajyoti Ray

In robotics, methods and softwares usually require optimizations of hyperparameters in order to be efficient for specific tasks, for instance industrial bin-picking from homogeneous heaps of different objects. We present a developmental…

Robotics · Computer Science 2020-07-31 Maxime Petit , Emmanuel Dellandrea , Liming Chen

Standard conformal prediction offers a marginal guarantee on coverage, but for prediction sets to be truly useful, they should ideally ensure coverage conditional on each test point. Unfortunately, it is impossible to achieve exact,…

Machine Learning · Computer Science 2025-02-11 Jivat Neet Kaur , Michael I. Jordan , Ahmed Alaa

Model selection in supervised learning provides costless guarantees as if the model that best balances bias and variance was known a priori. We study the feasibility of similar guarantees for cumulative regret minimization in the stochastic…

Machine Learning · Computer Science 2023-10-25 Sanath Kumar Krishnamurthy , Adrienne Margaret Propp , Susan Athey

The primary focus of this paper is on designing an inexact first-order algorithm for solving constrained nonlinear optimization problems. By controlling the inexactness of the subproblem solution, we can significantly reduce the…

Optimization and Control · Mathematics 2019-11-19 Hao Wang , Fan Zhang , Jiashan Wang , Yuyang Rong

We study the canonical problem of maximizing a stochastic submodular function subject to a cardinality constraint, where the goal is to select a subset from a ground set of items with uncertain individual performances to maximize their…

Data Structures and Algorithms · Computer Science 2019-05-10 Shreyas Sekar , Milan Vojnovic , Se-Young Yun

In a standard optimization approach, the underlying process model is first identified at a given set of operating conditions and this updated model is, then, used to calculate the optimal conditions for the process. This two-step procedure…

Optimization and Control · Mathematics 2015-08-27 Jasdeep S. Mandur , Hector M. Budman

How should we gather information to make effective decisions? We address Bayesian active learning and experimental design problems, where we sequentially select tests to reduce uncertainty about a set of hypotheses. Instead of minimizing…

Machine Learning · Computer Science 2014-02-25 Shervin Javdani , Yuxin Chen , Amin Karbasi , Andreas Krause , J. Andrew Bagnell , Siddhartha Srinivasa

Selecting prototypical examples from a source distribution to represent a target data distribution is a fundamental problem in machine learning. Existing subset selection methods often rely on implicit importance scores, which can be skewed…