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Rationally independent free fermions are those where sums of single-particle energies multiplied by arbitrary rational coefficients vanish only if the coefficients are all zero. This property guaranties that they have no degeneracies in the…

Quantum Physics · Physics 2024-12-03 Jonathon Riddell , Bruno Bertini

Classifier combination methods need to make best use of the outputs of multiple, imperfect classifiers to enable higher accuracy classifications. In many situations, such as when human decisions need to be combined, the base decisions can…

Statistics Theory · Mathematics 2012-06-11 Edwin Simpson , Stephen Roberts , Ioannis Psorakis , Arfon Smith

Altruistic behaviour is disadvantageous for the individual while is advantageous for its group. If the target of the selection is the individual, one would expect the selection process to lead to populations formed by wholly homogeneous…

adap-org · Physics 2008-02-03 R. Donato , L. Peliti , M. Serva

Mutual information has been successfully adopted in filter feature-selection methods to assess both the relevancy of a subset of features in predicting the target variable and the redundancy with respect to other variables. However,…

Machine Learning · Computer Science 2019-07-18 Mario Beraha , Alberto Maria Metelli , Matteo Papini , Andrea Tirinzoni , Marcello Restelli

We consider a population model in which the season alternates between winter and summer, and individuals can acquire mutations either that are advantageous in the summer and disadvantageous in the winter, or vice versa. Also, we assume that…

Populations and Evolution · Quantitative Biology 2025-12-09 Fernando Cordero , Adrián González Casanova , Jason Schweinsberg

In contrast to the existing approaches to bisimulation for fuzzy systems, we introduce a behavioral distance to measure the behavioral similarity of states in a nondeterministic fuzzy-transition system. This behavioral distance is defined…

Artificial Intelligence · Computer Science 2015-03-19 Yongzhi Cao , Huaiqing Wang , Sherry X. Sun , Guoqing Chen

In a recent work, Murmann {\it et. al.} [Phys. Rev. Lett. {\bf114}, 080402 (2015)] have experimentally prepared and manipulated a double-well optical potential containing a pair of Fermi atoms as a possible building block of Hubbard model.…

Quantum Physics · Physics 2019-12-05 Subhanka Mal , Kingshuk Adhikary , Bimalendu Deb

We argue that fermion-boson mapping techniques represent a natural tool for studying many-body supersymmetry in fermionic systems with pairing. In particular, using the generalized Dyson mapping of a many-level fermion superalgebra with the…

Nuclear Theory · Physics 2009-11-10 Pavel Cejnar , Hendrik B. Geyer

Ingroup favoritism, the tendency to favor ingroup over outgroup, is often explained as a product of intergroup conflict, or correlations between group tags and behavior. Such accounts assume that group membership is meaningful, whereas…

Theoretical Economics · Economics 2019-08-23 Marcel Montrey , Thomas R. Shultz

In the setting where a group of agents is asked a single subjective multi-choice question (e.g. which one do you prefer? cat or dog?), we are interested in evaluating the quality of the collected feedback. However, the collected statistics…

Computer Science and Game Theory · Computer Science 2021-02-25 Jiale Chen , Yuqing Kong , Yuxuan Lu

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

Physics and Society · Physics 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

We consider a linear impulsive system in an infinite-dimensional Banach space. It is assumed that the moments of impulsive action satisfy the averaged dwell-time condition and the linear operator on the right side of the differential…

Dynamical Systems · Mathematics 2023-08-11 Vladyslav Bivziuk , Sergey Dashkovskiy , Vitalii Slynko

The formation and stability of social hierarchies is a question of general relevance. Here, we propose a simple generalized theoretical model for establishing social hierarchy via pair-wise interactions between individuals and investigate…

Physics and Society · Physics 2023-11-28 Joseph Hickey , Jörn Davidsen

Social discrimination seems to be a persistent phenomenon in many cultures. It is important to understand the mechanisms that lead people to judge others by the group to which they belong, rather than individual qualities. It was recently…

Adaptation and Self-Organizing Systems · Physics 2019-12-11 Gorm Gruner Jensen , Frederik Tischel , Stefan Bornholdt

We show that it can be suboptimal for Bayesian decision-making agents employing social learning to use correct prior probabilities as their initial beliefs. We consider sequential Bayesian binary hypothesis testing where each individual…

Information Theory · Computer Science 2026-03-12 Joong Bum Rhim , Vivek K Goyal

Personalized decision making targets the behavior of a specific individual, while population-based decision making concerns a sub-population resembling that individual. This paper clarifies the distinction between the two and explains why…

Artificial Intelligence · Computer Science 2022-08-23 Scott Mueller , Judea Pearl

We use a combinatorial approach to obtain exact expressions for the many-body density of states of fermionic and bosonic gases with equally spaced single-particle spectra. We identify a mapping that reveals a remarkable property, namely,…

Quantum Gases · Physics 2025-02-11 Carolyn Echter , Georg Maier , Juan-Diego Urbina , Caio Lewenkopf , Klaus Richter

It is shown that quantum systems of identical particles can be treated as if they were different when they are in well differentiated states. This simplifying assumption allows the consideration of quantum systems isolated from the rest of…

Quantum Physics · Physics 2009-03-12 Alberto C. de la Torre , Hector O. Martin

We describe a mean field interacting particle system in any number of dimensions and in a generic external potential as an ideal gas with fractional exclusion statistics (FES). We define the FES quasiparticle energies, we calculate the FES…

Statistical Mechanics · Physics 2015-06-15 Dragos-Victor Anghel , George Alexandru Nemnes , Francesca Gulminelly

Quantum statistics have a profound impact on the properties of systems composed of identical particles. In this Letter, we demonstrate that the quantum statistics of a pair of identical massive particles can be probed by a direct…

Quantum Physics · Physics 2017-10-23 C. F. Roos , A. Alberti , D. Meschede , P. Hauke , H. Häffner
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