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Population synthesis is concerned with the generation of synthetic yet realistic representations of populations. It is a fundamental problem in the modeling of transport where the synthetic populations of micro-agents represent a key input…

Machine Learning · Statistics 2019-07-19 Stanislav S. Borysov , Jeppe Rich , Francisco C. Pereira

Generating synthetic populations from aggregate statistics is a core component of microsimulation, agent-based modeling, policy analysis, and privacy-preserving data release. Beyond classical census marginals, many applications require…

Artificial Intelligence · Computer Science 2026-04-14 François Pachet , Jean-Daniel Zucker

We introduce a constraint-programming framework for generating synthetic populations that reproduce target statistics with high precision while enforcing full individual consistency. Unlike data-driven approaches that infer distributions…

Machine Learning · Statistics 2025-12-09 Thierry Petit , Arnault Pachot

We propose a continuous-time formulation of persistent contrastive divergence (PCD) for maximum likelihood estimation (MLE) of unnormalised densities. Our approach expresses PCD as a coupled, multiscale system of stochastic differential…

Machine Learning · Statistics 2025-10-03 Paul Felix Valsecchi Oliva , O. Deniz Akyildiz , Andrew Duncan

Modern studies of societal phenomena rely on the availability of large datasets capturing attributes and activities of synthetic, city-level, populations. For instance, in epidemiology, synthetic population datasets are necessary to study…

Databases · Computer Science 2016-02-26 Hao Wu , Yue Ning , Prithwish Chakraborty , Jilles Vreeken , Nikolaj Tatti , Naren Ramakrishnan

The pervasive presence spatial and size structure in biological populations challenges fundamental assumptions at the heart of continuum models of population dynamics based on mean densities (local or global) only. Individual-based models…

Populations and Evolution · Quantitative Biology 2012-02-29 Michael Raghib , Nicholas A. Hill , Ulf Dieckmann

Inferring a quantum system from incomplete information is a common problem in many aspects of quantum information science and applications, where the principle of maximum entropy (MaxEnt) plays an important role. The quantum state…

Quantum Physics · Physics 2022-07-26 Shi-Yao Hou , Zipeng Wu , Jinfeng Zeng , Ningping Cao , Chenfeng Cao , Youning Li , Bei Zeng

In density estimation task, maximum entropy model (Maxent) can effectively use reliable prior information via certain constraints, i.e., linear constraints without empirical parameters. However, reliable prior information is often…

Machine Learning · Computer Science 2010-04-08 Yuexian Hou , Tingxu Yan , Peng Zhang , Dawei Song , Wenjie Li

An ideal synthetic population, a key input to activity-based models, mimics the distribution of the individual- and household-level attributes in the actual population. Since the entire population's attributes are generally unavailable,…

Machine Learning · Statistics 2022-08-03 Eui-Jin Kim , Prateek Bansal

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

Machine Learning · Statistics 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

Maximum entropy approach to classification is very well studied in applied statistics and machine learning and almost all the methods that exists in literature are discriminative in nature. In this paper, we introduce a maximum entropy…

Information Theory · Computer Science 2013-12-31 Ambedkar Dukkipati , Gaurav Pandey , Debarghya Ghoshdastidar , Paramita Koley , D. M. V. Satya Sriram

Simulating human profiles by instilling personas into large language models (LLMs) is rapidly transforming research in agentic behavioral simulation, LLM personalization, and human-AI alignment. However, most existing synthetic personas…

Artificial Intelligence · Computer Science 2025-12-02 Zhen Wang , Yufan Zhou , Zhongyan Luo , Lyumanshan Ye , Adam Wood , Man Yao , Saab Mansour , Luoshang Pan

Synthetic population is an increasingly important material used in numerous areas such as urban and transportation analysis. Traditional methods such as iterative proportional fitting (IPF) is not capable of generating high-quality data…

Computers and Society · Computer Science 2025-08-14 Hai Yang , Hongying Wu , Linfei Yuan , Xiyuan Ren , Joseph Y. J. Chow , Jinqin Gao , Kaan Ozbay

Given a sample of independent and identically distributed random variables, a novel nonparametric maximum entropy method is presented to estimate the underlying continuous univariate probability density function (pdf). Estimates are found…

Probability · Mathematics 2016-06-30 Jenny Farmer , Donald J. Jacobs

Population synthesis is a critical task that involves generating synthetic yet realistic representations of populations. It is a fundamental problem in agent-based modeling (ABM), which has become the standard to analyze intelligent…

Machine Learning · Computer Science 2025-08-14 Min Tang , Peng Lu , Qing Feng

We study maximum-entropy inference for finite-dimensional quantum states under linear moment constraints. Given expectation values of finitely many observables, the feasible set of states is convex but typically non-unique. The…

Quantum Physics · Physics 2025-10-27 James Tian

A new nonparametric model of maximum-entropy (MaxEnt) copula density function is proposed, which offers the following advantages: (i) it is valid for mixed random vector. By `mixed' we mean the method works for any combination of discrete…

Statistics Theory · Mathematics 2022-08-23 Subhadeep , Mukhopadhyay

Maximum entropy models provide the least constrained probability distributions that reproduce statistical properties of experimental datasets. In this work we characterize the learning dynamics that maximizes the log-likelihood in the case…

Disordered Systems and Neural Networks · Physics 2016-09-21 Ulisse Ferrari

The challenges posed by complex stochastic models used in computational ecology, biology and genetics have stimulated the development of approximate approaches to statistical inference. Here we focus on Synthetic Likelihood (SL), a…

Methodology · Statistics 2017-06-09 Matteo Fasiolo , Simon N. Wood , Florian Hartig , Mark V. Bravington

Synthetic population generation is the process of combining multiple socioeconomic and demographic datasets from different sources and/or granularity levels, and downscaling them to an individual level. Although it is a fundamental step for…

Machine Learning · Computer Science 2019-11-12 Colin Wan , Zheng Li , Alicia Guo , Yue Zhao
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