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A decision maker typically (i) incorporates training data to learn about the relative effectiveness of treatments, and (ii) chooses an implementation mechanism that implies an ``optimal'' predicted outcome distribution according to some…

Econometrics · Economics 2025-05-29 Anders Bredahl Kock , David Preinerstorfer

Consider a multiplayer game, and assume a system level objective function, which the system wants to optimize, is given. This paper aims at accomplishing this goal via potential game theory when players can only get part of other players'…

Optimization and Control · Mathematics 2018-07-17 Changxi Li , Fenghua He , Hongsheng Qi , Daizhan Cheng

In this paper, we propose how to use objective arguments grounded in statistical mechanics concepts in order to obtain a single number, obtained after aggregation, which would allow to rank "agents", "opinions", ..., all defined in a very…

Physics and Society · Physics 2024-05-02 Marcel Ausloos , Giulia Rotundo , Roy Cerqueti

This paper considers the problem of maximizing multiple linear functions over the probability simplex. A classification of feasible points is indicated. A necessary and sufficient condition for a member of each class to be an efficient…

Optimization and Control · Mathematics 2024-12-30 Anas Mifrani

Ou et al. (2022) introduce the problem of learning set functions from data generated by a so-called optimal subset oracle. Their approach approximates the underlying utility function with an energy-based model, whose parameters are…

Machine Learning · Computer Science 2024-12-18 Gözde Özcan , Chengzhi Shi , Stratis Ioannidis

We study the problem of learning the objective functions or constraints of a multiobjective decision making model, based on a set of sequentially arrived decisions. In particular, these decisions might not be exact and possibly carry…

Machine Learning · Computer Science 2022-12-27 Chaosheng Dong , Yijia Wang , Bo Zeng

In the contemporary era, the importance of information is undisputed, but there has never been a common understanding of information, nor a unanimous conclusion to the researches on information metrics. Based on the previous studies, this…

Information Theory · Computer Science 2014-04-07 Xu Jianfeng , Tang Jun , Ma Xuefeng , Xu Bin , Shen Yanli , Qiao Yongjie

Information accounting provides a better foundation for hypothesis testing than does uncertainty quantification. A quantitative account of science is derived under this perspective that alleviates the need for epistemic bridge principles,…

Other Statistics · Statistics 2017-04-26 Grey Nearing , Hoshin Gupta

The large majority of inferences drawn in empirical political research follow from model-based associations (e.g. regression). Here, we articulate the benefits of predictive modeling as a complement to this approach. Predictive models aim…

Methodology · Statistics 2016-12-20 Skyler J. Cranmer , Bruce A. Desmarais

Motivation: Gene selection has become a common task in most gene expression studies. The objective of such research is often to identify the smallest possible set of genes that can still achieve good predictive performance. The problem of…

In designing an intelligent system that must be able to explain its reasoning to a human user, or to provide generalizations that the human user finds reasonable, it may be useful to take into consideration psychological data on what types…

Artificial Intelligence · Computer Science 2013-04-15 James E. Corter , Mark A. Gluck

Data and knowledge representation are fundamental concepts in machine learning. The quality of the representation impacts the performance of the learning model directly. Feature learning transforms or enhances raw data to structures that…

Artificial Intelligence · Computer Science 2021-04-26 Filipe Alves Neto Verri , Renato Tinós , Liang Zhao

Engineers are often faced with the decision to select the most appropriate model for simulating the behavior of engineered systems, among a candidate set of models. Experimental monitoring data can generate significant value by supporting…

Applications · Statistics 2023-10-17 Antonios Kamariotis , Eleni Chatzi

In Machine Learning, feature selection entails selecting a subset of the available features in a dataset to use for model development. There are many motivations for feature selection, it may result in better models, it may provide insight…

Machine Learning · Computer Science 2021-06-14 Padraig Cunningham , Bahavathy Kathirgamanathan , Sarah Jane Delany

Mathematical models are used extensively for diverse tasks including analysis, optimization, and decision making. Frequently, those models are principled but imperfect representations of reality. This is either due to incomplete physical…

Machine Learning · Statistics 2017-11-15 Remi R. Lam , Lior Horesh , Haim Avron , Karen E. Willcox

Data quality is a significant issue for any application that requests for analytics to support decision making. It becomes very important when we focus on Internet of Things (IoT) where numerous devices can interact to exchange and process…

Machine Learning · Computer Science 2020-07-30 Anna Karanika , Panagiotis Oikonomou , Kostas Kolomvatsos , Christos Anagnostopoulos

Model selection in clustering requires (i) to specify a suitable clustering principle and (ii) to control the model order complexity by choosing an appropriate number of clusters depending on the noise level in the data. We advocate an…

Information Theory · Computer Science 2010-06-03 Joachim M. Buhmann

Deep learning models form one of the most powerful machine learning models for the extraction of important features. Most of the designs of deep neural models, i.e., the initialization of parameters, are still manually tuned. Hence,…

Machine Learning · Computer Science 2023-05-18 Mrittika Chakraborty , Wreetbhas Pal , Sanghamitra Bandyopadhyay , Ujjwal Maulik

In data-driven inverse optimization an observer aims to learn the preferences of an agent who solves a parametric optimization problem depending on an exogenous signal. Thus, the observer seeks the agent's objective function that best…

Optimization and Control · Mathematics 2017-07-25 Peyman Mohajerin Esfahani , Soroosh Shafieezadeh-Abadeh , Grani Adiwena Hanasusanto , Daniel Kuhn

In Multi-Task Learning (MTL), it is a common practice to train multi-task networks by optimizing an objective function, which is a weighted average of the task-specific objective functions. Although the computational advantages of this…

Machine Learning · Computer Science 2022-07-19 Lucas Pascal , Pietro Michiardi , Xavier Bost , Benoit Huet , Maria A. Zuluaga