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We consider models for molecular sequence evolution in which the transition rates at each site depend on the local sequence context, giving rise to a time-inhomogeneous Markov process in which sites evolve under a complex dependency…

Computation · Statistics 2025-08-18 Joseph Mathews , Scott C. Schmidler

We describe an adaptive importance sampling algorithm for rare events that is based on a dual stochastic control formulation of a path sampling problem. Specifically, we focus on path functionals that have the form of cumulate generating…

Dynamical Systems · Mathematics 2019-01-30 Omar Kebiri , Lara Neureither , Carsten Hartmann

Sequential Monte Carlo methods which involve sequential importance sampling and resampling are shown to provide a versatile approach to computing probabilities of rare events. By making use of martingale representations of the sequential…

Probability · Mathematics 2012-02-22 Hock Peng Chan , Tze Leung Lai

We present a comprehensive study of graphical log-linear models for contingency tables. High dimensional contingency tables arise in many areas such as computational biology, collection of survey and census data and others. Analysis of…

Methodology · Statistics 2016-03-15 Niharika Gauraha

Approximate Bayesian Computation (ABC) is a powerful method for carrying out Bayesian inference when the likelihood is computationally intractable. However, a drawback of ABC is that it is an approximate method that induces a systematic…

Methodology · Statistics 2015-09-29 Minh Ngoc Tran , Robert Kohn

Consider $K$ processes, each generating a sequence of identical and independent random variables. The probability measures of these processes have random parameters that must be estimated. Specifically, they share a parameter $\theta$…

Machine Learning · Computer Science 2022-10-12 Arpan Mukherjee , Ali Tajer , Pin-Yu Chen , Payel Das

Graphs are widely used for describing systems made up of many interacting components and for understanding the structure of their interactions. Various statistical models exist, which describe this structure as the result of a combination…

Methodology · Statistics 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

For obtaining optimal first-order convergence guarantee for stochastic optimization, it is necessary to use a recurrent data sampling algorithm that samples every data point with sufficient frequency. Most commonly used data sampling…

Optimization and Control · Mathematics 2024-07-23 William G. Powell , Hanbaek Lyu

Many complex multi-target prediction problems that concern large target spaces are characterised by a need for efficient prediction strategies that avoid the computation of predictions for all targets explicitly. Examples of such problems…

Information Retrieval · Computer Science 2018-03-06 Michiel Stock , Krzysztof Dembczynski , Bernard De Baets , Willem Waegeman

We present a method to generate contingency tables that follow loglinear models with prescribed marginal probabilities and dependence structures. We make use of (loglinear) Poisson regression, where the dependence structures, described…

Methodology · Statistics 2024-06-18 Ceejay Hammond , Peter G. M. van der Heijden , Paul A. Smith

In this paper we relate a number of parsing algorithms which have been developed in very different areas of parsing theory, and which include deterministic algorithms, tabular algorithms, and a parallel algorithm. We show that these…

cmp-lg · Computer Science 2008-02-03 Mark-Jan Nederhof

Studies of issues related to computability and computational complexity involve the use of a model of computation. Pivotal to such a model are the computational processes considered. Processes of this kind can be described using an…

Logic in Computer Science · Computer Science 2024-06-24 C. A. Middelburg

Sequential search models provide a powerful framework for studying consumer search using rich data that records the sequence of consumer actions taken during the search process. In existing empirical applications, their implementation often…

Econometrics · Economics 2026-05-05 Tinghan Zhang

In social and biomedical sciences testing in contingency tables often involves order restrictions on cell-probabilities parameters. We develop objective Bayes methods for order-constrained testing and model comparison when observations…

Methodology · Statistics 2018-10-24 Roberta Paroli , Guido Consonni

To analyse a very large data set containing lengthy variables, we adopt a sequential estimation idea and propose a parallel divide-and-conquer method. We conduct several conventional sequential estimation procedures separately, and properly…

Methodology · Statistics 2018-12-27 Zhanfeng Wang , Yuan-chin Ivan Chang

Temporal point processes offer a powerful framework for sampling from discrete distributions, yet they remain underutilized in existing literature. We show how to construct, for any target multivariate count distribution with…

Computation · Statistics 2026-05-19 Cameron A. Stewart , Maneesh Sahani

The impressive performance of neural networks on natural language processing tasks attributes to their ability to model complicated word and phrase compositions. To explain how the model handles semantic compositions, we study hierarchical…

Computation and Language · Computer Science 2020-06-16 Xisen Jin , Zhongyu Wei , Junyi Du , Xiangyang Xue , Xiang Ren

We consider a general class of regression models with normally distributed covariates, and the associated nonconvex problem of fitting these models from data. We develop a general recipe for analyzing the convergence of iterative algorithms…

Optimization and Control · Mathematics 2021-09-22 Kabir Aladin Chandrasekher , Ashwin Pananjady , Christos Thrampoulidis

This thesis describes work on two applications of probabilistic programming: the learning of probabilistic program code given specifications, in particular program code of one-dimensional samplers; and the facilitation of sequential Monte…

Artificial Intelligence · Computer Science 2020-05-21 Yura N Perov

The task of assigning label sequences to a set of observed sequences is common in computational linguistics. Several models for sequence labeling have been proposed over the last few years. Here, we focus on discriminative models for…

Machine Learning · Computer Science 2013-11-12 P. Balamurugan , Shirish Shevade , S. Sundararajan , S. S Keerthi