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We propose monotone comparative statics results for maximizers of submodular functions, as opposed to maximizers of supermodular functions as in the classical theory put forth by Veinott, Topkis, Milgrom, and Shannon among others. We…

Theoretical Economics · Economics 2024-08-14 Alfred Galichon , Yu-Wei Hsieh , Maxime Sylvestre

The problem of scheduling non-simultaneously released jobs with due dates on a single machine with the objective to minimize the maximum job lateness is known to be strongly NP-hard. Here we consider an extended model in which the…

Optimization and Control · Mathematics 2023-06-16 Nodari Vakhania , Frank Werner , Alejandro Reynoso

Recent works have revealed an essential paradigm in designing loss functions that differentiate individual losses vs. aggregate losses. The individual loss measures the quality of the model on a sample, while the aggregate loss combines…

Machine Learning · Computer Science 2023-07-17 Shu Hu , Xin Wang , Siwei Lyu

We define the concept of CompositeTasking as the fusion of multiple, spatially distributed tasks, for various aspects of image understanding. Learning to perform spatially distributed tasks is motivated by the frequent availability of only…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Nikola Popovic , Danda Pani Paudel , Thomas Probst , Guolei Sun , Luc Van Gool

The paper focuses on a new class of combinatorial problems which consists in restructuring of solutions (as sets/structures) in combinatorial optimization. Two main features of the restructuring process are examined: (i) a cost of the…

Artificial Intelligence · Computer Science 2015-12-22 Mark Sh. Levin

In this paper, we study the assortment optimization problem under the mixed-logit customer choice model. While assortment optimization has been a major topic in revenue management for decades, the mixed-logit model is considered one of the…

Optimization and Control · Mathematics 2024-07-29 Hoang Giang Pham , Tien Mai

Good quality explanations strengthen the understanding of language models and data. Feature attribution methods, such as Integrated Gradient, are a type of post-hoc explainer that can provide token-level insights. However, explanations on…

Computation and Language · Computer Science 2026-04-21 Jonathan Kamp , Roos Bakker , Dominique Blok

Many selection problems are multilayered: agents first decide whether to participate and then sort among ordered or unordered categories. This paper shows that the sorting layer changes the geometry of identification. Unlike binary…

Econometrics · Economics 2026-05-26 Dongwoo Kim

This paper addresses the flexible job shop scheduling problem with sequencing flexibility and position-based learning effect. In this variant of the flexible job shop scheduling problem, precedence constraints of the operations constituting…

Optimization and Control · Mathematics 2024-03-26 Kennedy A. G. Araújo , Ernesto G. Birgin , Débora P. Ronconi

Statistical decision problems lie at the heart of statistical machine learning. The simplest problems are binary and multiclass classification and class probability estimation. Central to their definition is the choice of loss function,…

Machine Learning · Computer Science 2023-08-21 Robert C. Williamson , Zac Cranko

We analyze task orderings in continual learning for linear regression, assuming joint realizability of training data. We focus on orderings that greedily maximize dissimilarity between consecutive tasks, a concept briefly explored in prior…

Machine Learning · Computer Science 2025-10-24 Matan Tsipory , Ran Levinstein , Itay Evron , Mark Kong , Deanna Needell , Daniel Soudry

High dimensional covariance estimation and graphical models is a contemporary topic in statistics and machine learning having widespread applications. An important line of research in this regard is to shrink the extreme spectrum of the…

Methodology · Statistics 2016-06-28 Sang-Yun Oh , Bala Rajaratnam , Joong-Ho Won

This paper examines how loss aversion affects wages offered by employers and accepted by job seekers. I introduce a behavioral search model with monopsonistic firms making wage offers to job seekers who experience steeper disutility from…

General Economics · Economics 2026-03-17 Ross Chu

This research addresses the challenge of conducting interpretable causal inference between a binary treatment and its resulting outcome when not all confounders are known. Confounders are factors that have an influence on both the treatment…

Machine Learning · Computer Science 2023-10-24 Sohaib Kiani , Jared Barton , Jon Sushinsky , Lynda Heimbach , Bo Luo

We study the sequential testing problem of two alternative hypotheses regarding an unknown parameter in an exponential family when observations are costly. In a Bayesian setting, the problem can be embedded in a Markovian framework. Using…

Statistics Theory · Mathematics 2022-06-22 Erik Ekström , Yuqiong Wang

The traditional approach of hand-crafting priors (such as sparsity) for solving inverse problems is slowly being replaced by the use of richer learned priors (such as those modeled by deep generative networks). In this work, we study the…

Machine Learning · Computer Science 2021-05-14 Viraj Shah , Rakib Hyder , M. Salman Asif , Chinmay Hegde

To fully leverage the multi-task optimization paradigm for accelerating the solution of expensive scheduling problems, this study has effectively tackled three vital concerns. The primary issue is identifying auxiliary tasks that closely…

Optimization and Control · Mathematics 2024-04-02 Minshuo Li , Bo Liu , Bin Xin , Liang Feng , Peng Li

This paper proposes a model to explain the potential role of inter-group conflicts in determining the rise and fall of signaling norms. Individuals in a population are characterized by high and low productivity types and they are matched in…

Populations and Evolution · Quantitative Biology 2023-08-08 Ethan Holdahl , Jiabin Wu

We introduce and analyze the problem of the compilation of decision models from a decision-theoretic perspective. The techniques described allow us to evaluate various configurations of compiled knowledge given the nature of evidential…

Artificial Intelligence · Computer Science 2013-04-08 David Heckerman , John S. Breese , Eric J. Horvitz

We revisit and generalize the concept of composite likelihood as a method to make a probabilistic inference by aggregation of multiple Bayesian agents, thereby defining a class of predictive models which we call composite Bayesian. This…

Computation · Statistics 2019-04-18 Alexis Roche