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We study the problem of learning permutation invariant representations that can capture "flexible" notions of containment. We formalize this problem via a measure theoretic definition of multisets, and obtain a theoretically-motivated…

Machine Learning · Computer Science 2019-11-21 Vasco Portilheiro

Pairwise comparison matrices have received substantial attention in a variety of applications, especially in rank aggregation, the task of flattening items into a one-dimensional (and thus transitive) ranking. However, non-transitive…

Information Theory · Computer Science 2021-06-18 Shuang Li , Michael B. Wakin

To gain insight into the mechanisms behind machine learning methods, it is crucial to establish connections among the features describing data points. However, these correlations often exhibit a high-dimensional and strongly nonlinear…

Machine Learning · Computer Science 2025-03-04 Lorenzo Basile , Santiago Acevedo , Luca Bortolussi , Fabio Anselmi , Alex Rodriguez

Humans often juggle multiple, sometimes conflicting objectives and shift their priorities as circumstances change, rather than following a fixed objective function. In contrast, most computational decision-making and multi-objective RL…

Artificial Intelligence · Computer Science 2026-03-25 Xianwei Cao , Dou Quan , Zhenliang Zhang , Shuang Wang

A plethora of networks is being collected in a growing number of fields, including disease transmission, international relations, social interactions, and others. As data streams continue to grow, the complexity associated with these highly…

Machine Learning · Statistics 2018-09-11 Daniele Durante , Nabanita Mukherjee , Rebecca C. Steorts

We study the Popular Matching problem in multiple models, where the preferences of the agents in the instance may change or may be unknown/uncertain. In particular, we study an Uncertainty model, where each agent has a possible set of…

Computer Science and Game Theory · Computer Science 2025-06-06 Gergely Csáji

The concept of intransitiveness for games, which is the condition for which there is no first-player winning strategy can arise surprisingly, as happens in the Penney game, an extension of the heads or tails. Since a game can be converted…

Physics and Society · Physics 2024-03-07 Alberto Baldi , Franco Bagnoli

Learning or identifying dynamics from a sequence of high-dimensional observations is a difficult challenge in many domains, including reinforcement learning and control. The problem has recently been studied from a generative perspective…

Robotics · Computer Science 2022-07-12 Oliver Limoyo , Bryan Chan , Filip Marić , Brandon Wagstaff , Rupam Mahmood , Jonathan Kelly

Perceptual learning enables humans to recognize and represent stimuli invariant to various transformations and build a consistent representation of the self and physical world. Such representations preserve the invariant physical relations…

Neural and Evolutionary Computing · Computer Science 2020-07-02 Du Xiaorui , Yavuzhan Erdem , Immanuel Schweizer , Cristian Axenie

The recovery of multi-person 3D poses from a single RGB image is a severely ill-conditioned problem due to the inherent 2D-3D depth ambiguity, inter-person occlusions, and body truncations. To tackle these issues, recent works have shown…

Computer Vision and Pattern Recognition · Computer Science 2022-06-01 Nicolas Ugrinovic , Adria Ruiz , Antonio Agudo , Alberto Sanfeliu , Francesc Moreno-Noguer

The paper presents a novel deep learning approach, which extracts latent information from trained Deep Neural Networks (DNNs) and derives concise representations that are analyzed in an effective, unified way for prediction purposes. It is…

Machine Learning · Computer Science 2020-09-22 D. Kollias , N. Bouas , Y. Vlaxos , V. Brillakis , M. Seferis , I. Kollia , L. Sukissian , J. Wingate , S. Kollias

We study a simple example of a sequential game illustrating problems connected with making rational decisions that are universal for social sciences. The set of chooser's optimal decisions that manifest his preferences in case of a constant…

Physics and Society · Physics 2007-05-23 Edward W. Piotrowski , Marcin Makowski

Positions of chess players in intransitive (rock-paper-scissors) relations are considered. Namely, position A of White is preferable (it should be chosen if choice is possible) to position B of Black, position B of Black is preferable to…

History and Overview · Mathematics 2022-12-22 Alexander Poddiakov

We study metric learning from preference comparisons under the ideal point model, in which a user prefers an item over another if it is closer to their latent ideal item. These items are embedded into $\mathbb{R}^d$ equipped with an unknown…

Machine Learning · Computer Science 2024-07-15 Zhi Wang , Geelon So , Ramya Korlakai Vinayak

Many decision-making problems feature multiple objectives. In such problems, it is not always possible to know the preferences of a decision-maker for different objectives. However, it is often possible to observe the behavior of…

Artificial Intelligence · Computer Science 2023-04-28 Junlin Lu , Patrick Mannion , Karl Mason

We study the phenomenon of intransitivity in models of dice and voting. First, we follow a recent thread of research for $n$-sided dice with pairwise ordering induced by the probability, relative to $1/2$, that a throw from one die is…

Probability · Mathematics 2020-10-27 Jan Hązła , Elchanan Mossel , Nathan Ross , Guangqu Zheng

Grasping objects of different shapes and sizes - a foundational, effortless skill for humans - remains a challenging task in robotics. Although model-based approaches can predict stable grasp configurations for known object models, they…

Robotics · Computer Science 2022-11-22 Malte Mosbach , Sven Behnke

We propose a game-based formulation for learning dimensionality-reducing representations of feature vectors, when only a prior knowledge on future prediction tasks is available. In this game, the first player chooses a representation, and…

Machine Learning · Computer Science 2024-03-12 Neria Uzan , Nir Weinberger

We consider the problem of learning by demonstration from agents acting in unknown stochastic Markov environments or games. Our aim is to estimate agent preferences in order to construct improved policies for the same task that the agents…

Machine Learning · Computer Science 2014-08-12 Aristide Tossou , Christos Dimitrakakis

We consider the problem of learning by demonstration from agents acting in unknown stochastic Markov environments or games. Our aim is to estimate agent preferences in order to construct improved policies for the same task that the agents…

Machine Learning · Statistics 2013-07-16 Aristide C. Y. Tossou , Christos Dimitrakakis