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Univariate or multivariate ordinal responses are often assumed to arise from a latent continuous parametric distribution, with covariate effects which enter linearly. We introduce a Bayesian nonparametric modeling approach for univariate…

Methodology · Statistics 2016-09-21 Maria DeYoreo , Athanasios Kottas

In this manuscript we investigate the long-term behavior of a single-species fishery, which is harvested by several fleets. The time evolution of this population is modeled by a discrete time stochastic age-structured model. We assume that…

Populations and Evolution · Quantitative Biology 2018-11-20 V. Riquelme , T. J. Quinn , H. Ramírez C

Models of Stock Recruitment Relationships (SRRs) are often used to predict fish population dynamics. Commonly used SRRs include the Ricker, Beverton-Holt, and Cushing functional forms, which differ primarily by the degree of density…

Populations and Evolution · Quantitative Biology 2013-09-18 Justin D. Yeakel , Marc Mangel

We develop a nonparametric Bayesian modeling framework for clustered ordinal responses in developmental toxicity studies, which typically exhibit extensive heterogeneity. The primary focus of these studies is to examine the dose-response…

Methodology · Statistics 2024-08-22 Jizhou Kang , Athanasios Kottas

We propose a versatile and computationally efficient estimating equation method for a class of hierarchical multiplicative generalized linear mixed models with additive dispersion components, based on explicit modelling of the covariance…

Methodology · Statistics 2010-08-18 René Holst , Bent Jørgensen

Our article presents a robust and flexible statistical modeling for the growth curve associated to the age-length relationship of Cardinalfish (Epigonus Crassicaudus). Specifically, we consider a non-linear regression model, in which the…

Applications · Statistics 2016-09-09 Javier E. Contreras-Reyes , Reinaldo B. Arellano-Valle

We develop a nonparametric Bayesian modeling approach to ordinal regression based on priors placed directly on the discrete distribution of the ordinal responses. The prior probability models are built from a structured mixture of…

Methodology · Statistics 2024-03-25 Jizhou Kang , Athanasios Kottas

Reproductive phenology, growth and mortality rates are key ecological parameters that determine population dynamics and are therefore of vital importance to stock assessment models for fisheries management. In many fish species, the…

Other Quantitative Biology · Quantitative Biology 2020-06-23 Vicenç Moltó , Andres Ospina-Alvarez , Mark Gatt , Miquel Palmer , Ignacio A. Catalán

We discuss Bayesian nonparametric procedures for the regression analysis of compositional responses, that is, data supported on a multivariate simplex. The procedures are based on a modified class of multivariate Bernstein polynomials and…

Methodology · Statistics 2021-08-31 Claudia Wehrhahn , Andrés F. Barrientos , Alejandro Jara

We propose a general nonparametric Bayesian framework for binary regression, which is built from modeling for the joint response-covariate distribution. The observed binary responses are assumed to arise from underlying continuous random…

Methodology · Statistics 2016-09-06 Maria DeYoreo , Athanasios Kottas

Model inference for dynamical systems aims to estimate the future behaviour of a system from observations. Purely model-free statistical methods, such as Artificial Neural Networks, tend to perform poorly for such tasks. They are therefore…

Machine Learning · Computer Science 2019-08-07 David K. E. Green , Filip Rindler

Self-organisation of individuals within large collectives occurs throughout biology. Mathematical models can help elucidate the individual-level mechanisms behind these dynamics, but analytical tractability often comes at the cost of…

Spherical regression explores relationships between variables on spherical domains. We develop a nonparametric model that uses a diffeomorphic map from a sphere to itself. The restriction of this mapping to diffeomorphisms is natural in…

Other Statistics · Statistics 2017-02-06 Michael Rosenthal , Wei Wu , Eric Klassen , Anuj Srivastava

In this work, we develop applications of the complementary log-log (cloglog) link to problems in Bayesian nonparametrics. Although less commonly used than the probit or logit links, we find that the cloglog link is computationally and…

Methodology · Statistics 2025-02-04 Entejar Alam , Antonio R. Linero

While reinforcement learning (RL) algorithms are achieving state-of-the-art performance in various challenging tasks, they can easily encounter catastrophic forgetting or interference when faced with lifelong streaming information. In the…

Machine Learning · Computer Science 2022-05-24 Zhi Wang , Chunlin Chen , Daoyi Dong

In a state-space framework, temporal variations in fishery-dependent processes can be modeled as random effects. This modeling flexibility makes state-space models (SSMs) powerful tools for data-limited assessments. Though SSMs enable the…

Populations and Evolution · Quantitative Biology 2024-06-21 Kyuhan Kim , Nokuthaba Sibanda , Richard Arnold , Teresa A'mar

This paper is dedicated to a robust ordinal method for learning the preferences of a decision maker between subsets. The decision model, derived from Fishburn and LaValle (1996) and whose parameters we learn, is general enough to be…

Artificial Intelligence · Computer Science 2023-08-08 Hugo Gilbert , Mohamed Ouaguenouni , Meltem Ozturk , Olivier Spanjaard

Understanding and modeling animal behavior is essential for studying collective motion, decision-making, and bio-inspired robotics. Yet, evaluating the accuracy of behavioral models still often relies on offline comparisons to static…

Robotics · Computer Science 2026-05-20 Mathis Hocke , Andreas Gerken , David Bierbach , Jens Krause , Tim Landgraf

We present a nonparametric framework to model a short sequence of probability distributions that vary both due to underlying effects of sequential progression and confounding noise. To distinguish between these two types of variation and…

Methodology · Statistics 2019-02-08 Jonas Mueller , Tommi Jaakkola , David Gifford

Simple analytic considerations are applied to recently discovered patterns in a generalized Fisher equation for population dynamics. The generalization consists of the inclusion of non-local competition interactions among individuals. We…

Pattern Formation and Solitons · Physics 2007-05-23 M. A. Fuentes , M. N. Kuperman , V. M. Kenkre
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