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Snapshots of "best" (or "worst") experience are known to dominate human memory and may thus also have a significant effect on future behaviour. We consider here a model of repeated decision-making where, at every time step, an agent takes…

Statistical Mechanics · Physics 2022-02-18 Evangelos Mitsokapas , Rosemary J. Harris

In this paper, we consider distributed decision-making over stochastic communication links in multi-agent systems. We show how to extend the current literature on potential games with binary log-linear learning (which mainly focuses on…

Multiagent Systems · Computer Science 2014-12-16 Arjun Muralidharan , Yuan Yan , Yasamin Mostofi

Real-world recommendation systems often consist of two phases. In the first phase, multiple predictive models produce the probability of different immediate user actions. In the second phase, these predictions are aggregated according to a…

Predictions using a combination of decision trees are known to be effective in machine learning. Typical ideas for constructing a combination of decision trees for prediction are bagging and boosting. Bagging independently constructs…

Machine Learning · Computer Science 2024-02-12 Keito Tajima , Naoki Ichijo , Yuta Nakahara , Toshiyasu Matsushima

Decision-making plays a pivotal role in shaping outcomes in various disciplines, such as medicine, economics, and business. This paper provides guidance to practitioners on how to implement a decision tree designed to address treatment…

Econometrics · Economics 2024-06-05 Hugo Bodory , Federica Mascolo , Michael Lechner

Heavy-tailed impact distributions, intrinsic uncertainty, and the high costs of proposal-based peer review increasingly challenge research funding decisions. Using large-scale bibliometric data, we show that past scientific performance…

Applications · Statistics 2026-04-28 Carlos Oscar S. Sorzano , B. Pueche-Granados

The decision tree is one of the most fundamental programming abstractions. A commonly used type of decision tree is the alphabetic binary tree, which uses (without loss of generality) ``less than'' versus ''greater than or equal to'' tests…

Performance · Computer Science 2007-07-13 Michael B. Baer

We model stochastic choices with categorization. The agent preliminarly groups alternatives in homogenous disjoint classes, then randomly chooses one class and randomly picks an item within the selected class. We give a formal definition of…

Theoretical Economics · Economics 2026-01-06 Ester Sudano

Decisions are often based on imprecise, uncertain or vague information. Likewise, the consequences of an action are often equally unpredictable, thus putting the decision maker into a twofold jeopardy. Assuming that the effects of an action…

General Economics · Economics 2022-05-03 Stefan Rass , Sandra König , Stefan Schauer

We present an anytime algorithm which computes policies for decision problems represented as multi-stage influence diagrams. Our algorithm constructs policies incrementally, starting from a policy which makes no use of the available…

Artificial Intelligence · Computer Science 2013-02-01 Michael C. Horsch , David L. Poole

In distributed processing, agents generally collect data generated by the same underlying unknown model (represented by a vector of parameters) and then solve an estimation or inference task cooperatively. In this paper, we consider the…

Information Theory · Computer Science 2015-06-16 Sheng-Yuan Tu , Ali H. Sayed

Experts advising decision-makers are likely to display expertise which varies as a function of the problem instance. In practice, this may lead to sub-optimal or discriminatory decisions against minority cases. In this work we model such…

Artificial Intelligence · Computer Science 2023-10-27 Axel Abels , Tom Lenaerts , Vito Trianni , Ann Nowé

Customer behavior is often assumed to follow weak rationality, which implies that adding a product to an assortment will not increase the choice probability of another product in that assortment. However, an increasing amount of research…

Machine Learning · Computer Science 2021-10-14 Yi-Chun Chen , Velibor V. Mišić

In biology and ecology, individuals or communities of individuals living in unpredictable environments often alternate between different evolutionary strategies to spread and reduce risks. Such behavior is commonly referred to as…

Populations and Evolution · Quantitative Biology 2015-03-11 Jorge Hidalgo , Simone Pigolotti , Miguel A. Munoz

This paper uses category theory to develop an entirely new approach to approximate game theory. Game theory is the study of how different agents within a multi-agent system take decisions. At its core, game theory asks what an optimal…

Computer Science and Game Theory · Computer Science 2025-09-26 Neil Ghani

Many stochastic physical systems evolve smoothly over time in the sense that the distribution of states changes regularly across time steps. The transition from current state to the next state can often be modeled as the combination of a…

Machine Learning · Computer Science 2026-05-29 Jules Berman , Tobias Blickhan , Benjamin Peherstorfer

Due to their efficiency and small size, decision trees and random forests are popular machine learning models used for classification on resource-constrained systems. In such systems, the available execution time for inference in a random…

Machine Learning · Computer Science 2026-03-03 Daniel Biebert , Christian Hakert , Kay Heider , Daniel Kuhse , Sebastian Buschjäger , Jian-Jia Chen

Decentralized optimization of distributed stochastic differential systems has been an active area of research for over half a century. Its formulation utilizing static team and person-by-person optimality criteria is well investigated.…

Optimization and Control · Mathematics 2013-02-15 Charalambos D. Charalambous , Nasir U. Ahmed

We propose a procedure to build a decision tree which approximates the performance of complex machine learning models. This single approximation tree can be used to interpret and simplify the predicting pattern of random forests (RFs) and…

Methodology · Statistics 2016-10-31 Yichen Zhou , Giles Hooker

Given a graph, we can form a spanning forest by first sorting the edges in some order, and then only keep edges incident to a vertex which is not incident to any previous edge. The resulting forest is dependent on the ordering of the edges,…

Combinatorics · Mathematics 2018-02-16 Steve Butler , Misa Hamanaka , Marie Hardt
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