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This paper provides a review of model selection and model averaging methods for multinomial probit models estimated using the MACML approach. The proposed approaches are partitioned into test based methods (mostly derived from the…

Methodology · Statistics 2017-04-04 Manuel Batram , Dietmar Bauer

Mixed Membership Models (MMMs) are a popular family of latent structure models for complex multivariate data. Instead of forcing each subject to belong to a single cluster, MMMs incorporate a vector of subject-specific weights…

Methodology · Statistics 2023-02-16 Yuqi Gu , Elena A. Erosheva , Gongjun Xu , David B. Dunson

The paper focuses on the a posteriori tuning of a generative model in order to favor the generation of good instances in the sense of some external differentiable criterion. The proposed approach, called Boltzmann Tuning of Generative…

Artificial Intelligence · Computer Science 2021-04-13 Victor Berger , Michele Sebag

Continuous-time birth-death-shift (BDS) processes are frequently used in stochastic modeling, with many applications in ecology and epidemiology. In particular, such processes can model evolutionary dynamics of transposable elements -…

Methodology · Statistics 2014-12-02 Jason Xu , Peter Guttorp , Midori Kato-Maeda , Vladimir N. Minin

The generalized linear mixed model (GLMM) is widely used for analyzing correlated data, particularly in large-scale biomedical and social science applications. Scalable Bayesian inference for GLMMs is challenging because the marginal…

Computation · Statistics 2026-01-07 Samuel I. Berchuck , Youngsoo Baek , Felipe A. Medeiros , Andrea Agazzi

This paper introduces the multivariate beta mixture model (MBMM), a new probabilistic model for soft clustering. MBMM adapts to diverse cluster shapes because of the flexible probability density function of the multivariate beta…

Machine Learning · Computer Science 2024-02-22 Yung-Peng Hsu , Hung-Hsuan Chen

We introduce a framework for inference in general state-space hidden Markov models (HMMs) under likelihood misspecification. In particular, we leverage the loss-theoretic perspective of Generalized Bayesian Inference (GBI) to define…

Methodology · Statistics 2020-10-22 Ayman Boustati , Ömer Deniz Akyildiz , Theodoros Damoulas , Adam M. Johansen

The ability for a machine learning model to cope with differences in training and deployment conditions--e.g. in the presence of distribution shift or the generalization to new classes altogether--is crucial for real-world use cases.…

Machine Learning · Computer Science 2023-12-14 Jenny Hamer , Eleni Triantafillou , Bart van Merriënboer , Stefan Kahl , Holger Klinck , Tom Denton , Vincent Dumoulin

We propose a mixture of latent trait models with common slope parameters (MCLT) for model-based clustering of high-dimensional binary data, a data type for which few established methods exist. Recent work on clustering of binary data, based…

Methodology · Statistics 2017-10-09 Yang Tang , Ryan P. Browne , Paul D. McNicholas

In this paper, we introduce a convenient framework for studying (adversarial) generative models from a statistical perspective. It consists in modeling the generative device as a smooth transformation of the unit hypercube of a dimension…

Statistics Theory · Mathematics 2020-10-20 Nicolas Schreuder , Victor-Emmanuel Brunel , Arnak Dalalyan

We propose a new Bayesian tracking and parameter learning algorithm for non-linear non-Gaussian multiple target tracking (MTT) models. We design a Markov chain Monte Carlo (MCMC) algorithm to sample from the posterior distribution of the…

Applications · Statistics 2015-10-28 Lan Jiang , Sumeetpal S. Singh , Sinan Yıldırım

The Bernoulli filter is a Bayes filter for joint detection and tracking of a target in the presence of false and miss detections. This paper presents a mathematical formulation of the Bernoulli filter in the framework of possibility theory,…

Information Theory · Computer Science 2019-11-12 Branko Ristic , Jeremie Houssineau , Sanjeev Arulampalam

Bayesian Generalized Nonlinear Models (BGNLM) offer a flexible nonlinear alternative to GLM while still providing better interpretability than machine learning techniques such as neural networks. In BGNLM, the methods of Bayesian Variable…

Computation · Statistics 2023-12-29 Jon Lachmann , Aliaksandr Hubin

We consider the problem of learning deep generative models from data. We formulate a method that generates an independent sample via a single feedforward pass through a multilayer perceptron, as in the recently proposed generative…

Machine Learning · Computer Science 2015-02-11 Yujia Li , Kevin Swersky , Richard Zemel

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

Methodology · Statistics 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

Bayesian nonparametric (BNP) models provide elegant methods for discovering underlying latent features within a data set, but inference in such models can be slow. We exploit the fact that completely random measures, which commonly used…

Machine Learning · Statistics 2020-07-17 Avinava Dubey , Michael Minyi Zhang , Eric P. Xing , Sinead A. Williamson

A model-based approach is developed for clustering categorical data with no natural ordering. The proposed method exploits the Hamming distance to define a family of probability mass functions to model the data. The elements of this family…

Methodology · Statistics 2024-07-02 Raffaele Argiento , Edoardo Filippi-Mazzola , Lucia Paci

Measurement error can often be harmful when estimating causal effects. Two scenarios in which this is the case are in the estimation of (a) the average treatment effect when confounders are measured with error and (b) the natural indirect…

Methodology · Statistics 2024-06-04 Caleb H. Miles , Linda Valeri , Brent Coull

A new approach on the joint estimation of partially exchangeable observations is presented by constructing pairwise dependence between $m$ random density functions, each of which is modeled as a mixture of geometric stick breaking…

In the era of deep learning several unsupervised models have been developed to capture the key features in unlabeled handwritten data. Popular among them is the Restricted Boltzmann Machines RBM. However, due to the novelty in handwritten…

Computer Vision and Pattern Recognition · Computer Science 2015-08-18 Emmanuel N. Osegi