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We consider a generalization of an important class of high-dimensional inference problems, namely spiked symmetric matrix models, often used as probabilistic models for principal component analysis. Such paradigmatic models have recently…

Information Theory · Computer Science 2020-05-19 Jean Barbier , Galen Reeves

We investigate approval-based committee voting with incomplete information about the approval preferences of voters. We consider several models of incompleteness where each voter partitions the set of candidates into approved, disapproved,…

Computer Science and Game Theory · Computer Science 2024-08-21 Aviram Imber , Jonas Israel , Markus Brill , Benny Kimelfeld

Unmeasured confounding is a threat to causal inference and gives rise to biased estimates. In this article, we consider the problem of individualized decision-making under partial identification. Firstly, we argue that when faced with…

Methodology · Statistics 2021-10-22 Yifan Cui

We describe a method for time-critical decision making involving sequential tasks and stochastic processes. The method employs several iterative refinement routines for solving different aspects of the decision making problem. This paper…

Artificial Intelligence · Computer Science 2013-03-08 Thomas L. Dean , Leslie Pack Kaelbling , Jak Kirman , Ann Nicholson

When evaluating causal influence from one time series to another in a multivariate dataset it is necessary to take into account the conditioning effect of the other variables. In the presence of many variables, and possibly of a reduced…

Data Analysis, Statistics and Probability · Physics 2012-03-26 Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

We introduce a new decision problem, called Packed Interval Covering (PIC) and show that it is NP-complete.

Computational Complexity · Computer Science 2019-06-11 Abdallah Saffidine , Sébastien Lê Cong , Sophie Pinchinat , François Schwarzentruber

Observation of other people's choices can provide useful information in many circumstances. However, individuals may not utilize this information efficiently, i.e., they may make decision-making errors in social interactions. In this paper,…

General Economics · Economics 2021-08-10 Mohsen Foroughifar

The language of information theory is favored in both causal reasoning and machine learning frameworks. But, is there a better language than this? In this study, we demonstrate the pitfalls of infotheoretic estimation using first order…

Information Theory · Computer Science 2021-10-26 Nithin Nagaraj

Supplier selection is a typical multi-criteria decision making (MCDM) problem and lots of uncertain information exist inevitably. To address this issue, a new method was proposed based on interval data fusion. Our method follows the…

Artificial Intelligence · Computer Science 2017-03-07 Zichang He , Wen Jiang

Multiple agents are increasingly combined to make decisions with the expectation of achieving complementary performance, where the decisions they make together outperform those made individually. However, knowing how to improve the…

Artificial Intelligence · Computer Science 2026-02-05 Ziyang Guo , Yifan Wu , Jason Hartline , Jessica Hullman

In a sequential decision-making problem, the information structure is the description of how events in the system occurring at different points in time affect each other. Classical models of reinforcement learning (e.g., MDPs, POMDPs)…

Machine Learning · Computer Science 2024-05-29 Awni Altabaa , Zhuoran Yang

Interval identification of parameters such as average treatment effects, average partial effects and welfare is particularly common when using observational data and experimental data with imperfect compliance due to the endogeneity of…

Econometrics · Economics 2025-04-09 Sukjin Han , Adam McCloskey

Dynamic feature selection, where we sequentially query features to make accurate predictions with a minimal budget, is a promising paradigm to reduce feature acquisition costs and provide transparency into a model's predictions. The problem…

Machine Learning · Computer Science 2024-09-10 Soham Gadgil , Ian Covert , Su-In Lee

Decision trees are simple, yet powerful, classification models used to classify categorical and numerical data, and, despite their simplicity, they are commonly used in operations research and management, as well as in knowledge mining.…

Logic in Computer Science · Computer Science 2020-03-13 Andrea Brunello , Guido Sciavicco , Ionel Eduard Stan

Counterfactual data augmentation (CDA) is a method for controlling information or biases in training datasets by generating a complementary dataset with typically opposing biases. Prior work often either relies on hand-crafted rules or…

Machine Learning · Computer Science 2025-02-26 Mitchell Plyler , Min Chi

In this paper a class of combinatorial optimization problems is discussed. It is assumed that a feasible solution can be constructed in two stages. In the first stage the objective function costs are known while in the second stage they are…

Data Structures and Algorithms · Computer Science 2020-05-22 Marc Goerigk , Adam Kasperski , Pawel Zielinski

Information criteria are an appropriate and widely used tool for solving model selection problems. However, different ways to use them exist, each leading to a more or less precise approximation of the sought model. In this paper, we mainly…

Statistics Theory · Mathematics 2007-06-13 Guilhem Coq , Olivier Alata , Marc Arnaudon , Christian Olivier

Adaptive subgroup enrichment design is an efficient design framework that allows accelerated development for investigational treatments while also having flexibility in population selection within the course of the trial. The adaptive…

Methodology · Statistics 2022-10-21 Liwen Wu , Qing Li , Mengya Liu , Jianchang Lin

For three natural classes of dynamic decision problems; 1. additively separable problems, 2. discounted problems, and 3. discounted problems for a fixed discount factor; we provide necessary and sufficient conditions for one sequential…

Theoretical Economics · Economics 2024-05-24 Mark Whitmeyer , Cole Williams

Interval-order partially ordered multisets with interfaces (ipomsets) have shown to be a versatile model for executions of concurrent systems in which both precedence and concurrency need to be taken into account. In this paper, we develop…

Formal Languages and Automata Theory · Computer Science 2024-07-19 Amazigh Amrane , Hugo Bazille , Emily Clement , Uli Fahrenberg , Krzysztof Ziemiański