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A common assumption in the fitting of unordered multinomial response models for $J$ mutually exclusive categories is that the responses arise from the same set of $J$ categories across subjects. However, when responses measure a choice made…

Methodology · Statistics 2025-09-10 Siddhartha Chib , Kenichi Shimizu

Ranking items to be recommended to users is one of the main problems in large scale social media applications. This problem can be set up as a multi-objective optimization problem to allow for trading off multiple, potentially conflicting…

Machine Learning · Statistics 2017-05-17 Kinjal Basu , Shaunak Chatterjee , Ankan Saha

In many choice settings the decision maker (DM) adopts a criterion which is a mediation between her preference, and its opposite. According to such compromise, the first i alternatives on top of the DM's taste are moved, in reverse order,…

Theoretical Economics · Economics 2026-05-28 Angelo Enrico Petralia

A vast number of systems across the world use algorithmic decision making (ADM) to (partially) automate decisions that have previously been made by humans. The downstream effects of ADM systems critically depend on the decisions made during…

Machine Learning · Statistics 2024-06-21 Jan Simson , Florian Pfisterer , Christoph Kern

The use of multiple Decision Models (DMs) enables to enhance the accuracy in decisions and at the same time allows users to evaluate the confidence in decision making. In this paper we explore the ability of multiple DMs to learn from a…

Artificial Intelligence · Computer Science 2008-05-27 Vitaly Schetinin , Dayou Li , Carsten Maple

Despite the abundance of benchmark problems for optimization algorithms, there is a notable scarcity of such problems in multidisciplinary design optimization (MDO). To address this gap, we introduce a novel methodology that enables the…

Optimization and Control · Mathematics 2025-12-23 Matthias De Lozzo , Olivier Roustant , Amine Aziz-Alaoui

Evaluating performance across optimization algorithms on many problems presents a complex challenge due to the diversity of numerical scales involved. Traditional data processing methods, such as hypothesis testing and Bayesian inference,…

Optimization and Control · Mathematics 2024-09-10 Yunpeng Jinng , Qunfeng Liu

Given a set of human's decisions that are observed, inverse optimization has been developed and utilized to infer the underlying decision making problem. The majority of existing studies assumes that the decision making problem is with a…

Machine Learning · Statistics 2018-08-03 Chaosheng Dong , Bo Zeng

A minimum Manhattan distance (MMD) approach to multiple criteria decision making in multiobjective optimization problems (MOPs) is proposed. The approach selects the final solution corresponding with a vector that has the MMD from a…

Optimization and Control · Mathematics 2017-05-05 Wei-Yu Chiu , Gary G. Yen , Teng-Kuei Juan

We show that the algorithm to extract diverse M -solutions from a Conditional Random Field (called divMbest [1]) takes exactly the form of a Herding procedure [2], i.e. a deterministic dynamical system that produces a sequence of hypotheses…

Computer Vision and Pattern Recognition · Computer Science 2017-01-31 Ece Ozkan , Gemma Roig , Orcun Goksel , Xavier Boix

The scenario approach provides a powerful data-driven framework for designing solutions under uncertainty with rigorous probabilistic robustness guarantees. Existing theory, however, primarily addresses assessing robustness with respect to…

Machine Learning · Statistics 2026-04-02 Simone Garatti , Lucrezia Manieri , Alessandro Falsone , Algo Carè , Marco C. Campi , Maria Prandini

The subject of this paper is to introduce a novel permutation-based nonparametric approach for the problem of ranking several multivariate populations with respect to both experimental and observation studies to be referred to the most…

Methodology · Statistics 2013-04-22 Livio Corain , Luigi Salmaso

In this paper, we constructed a model to determine weights of criterias and presented a solution for determining the optimal alternative by using the constructed model and relationship analysis between criterias in fuzzy group…

Artificial Intelligence · Computer Science 2017-05-17 Jon JaeGyong , Mun JongHui , Ryang GyongIl

The most recent pointwise Large Language Model (LLM) rankers have achieved remarkable ranking results. However, these rankers are hindered by two major drawbacks: (1) they fail to follow a standardized comparison guidance during the ranking…

Information Retrieval · Computer Science 2025-03-26 Fang Guo , Wenyu Li , Honglei Zhuang , Yun Luo , Yafu Li , Le Yan , Qi Zhu , Yue Zhang

Numerous techniques of multi-criteria decision-making (MCDM) have been proposed in a variety of business domains. One of the well-known methods is the Analytical Hierarchical Process (AHP). Various uncertain numbers are commonly used to…

Artificial Intelligence · Computer Science 2024-09-17 Mohamed Abdel Hameed El-Hawy

Recommender Systems today are still mostly evaluated in terms of accuracy, with other aspects beyond the immediate relevance of recommendations, such as diversity, long-term user retention and fairness, often taking a back seat. Moreover,…

The article discusses the concept of hyperparametric optimization of recommendation algorithms using an integral assessment that combines various performance indicators into a single consolidated criterion. This approach is opposed to…

Machine Learning · Computer Science 2025-08-29 Roman S. Kulshin , Anatoly A. Sidorov

Database queries are often used to select and rank items as decision support for many applications. As automated decision-making tools become more prevalent, there is a growing recognition of the need to diversify their outcomes. In this…

Databases · Computer Science 2024-03-28 Felix S. Campbell , Alon Silberstein , Julia Stoyanovich , Yuval Moskovitch

We consider a problem of clustering a sequence of multinomial observations by way of a model selection criterion. We propose a form of a penalty term for the model selection procedure. Our approach subsumes both the conventional AIC and BIC…

Machine Learning · Statistics 2015-08-17 Nam H. Lee , Runze Tang , Carey E. Priebe , Michael Rosen

Submodular maximization has been the backbone of many important machine-learning problems, and has applications to viral marketing, diversification, sensor placement, and more. However, the study of maximizing submodular functions has…

Data Structures and Algorithms · Computer Science 2022-05-02 Guangyi Zhang , Nikolaj Tatti , Aristides Gionis