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With the routine collection of massive-dimensional predictors in many application areas, screening methods that rapidly identify a small subset of promising predictors have become commonplace. We propose a new MOdular Bayes Screening (MOBS)…

Methodology · Statistics 2017-03-30 Yuhan Chen , David B. Dunson

Mechanistic mathematical models of within-host viral dynamics are tools for understanding how a virus' biology and its interaction with the immune system shape the infectivity of a host. The biology of the process is encoded by the…

Applications · Statistics 2025-12-11 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

There has recently been considerable interest in addressing the problem of unifying distributed statistical analyses into a single coherent inference. This problem naturally arises in a number of situations, including in big-data settings,…

Methodology · Statistics 2021-02-04 Hongsheng Dai , Murray Pollock , Gareth Roberts

Large-scale and multidimensional spatiotemporal data sets are becoming ubiquitous in many real-world applications such as monitoring urban traffic and air quality. Making predictions on these time series has become a critical challenge due…

Machine Learning · Statistics 2021-04-21 Xinyu Chen , Lijun Sun

Bayesian computation crucially relies on Markov chain Monte Carlo (MCMC) algorithms. In the case of massive data sets, running the Metropolis-Hastings sampler to draw from the posterior distribution becomes prohibitive due to the large…

Computation · Statistics 2015-12-07 Roberto Casarin , Radu V. Craiu , Fabrizio Leisen

When dealing with datasets containing a billion instances or with simulations that require a supercomputer to execute, computational resources become part of the equation. We can improve the efficiency of learning and inference by…

Machine Learning · Computer Science 2014-03-06 Max Welling

It is increasingly understood that the assumption of stationarity is unrealistic for many spatial processes. In this article, we combine dimension expansion with a spectral method to model big non-stationary spatial fields in a…

Methodology · Statistics 2020-01-20 Hou-Cheng Yang , Jonathan R. Bradley

Computational intensity and sequential nature of estimation techniques for Bayesian methods in statistics and machine learning, combined with their increasing applications for big data analytics, necessitate both the identification of…

Computation · Statistics 2015-03-02 Alireza S. Mahani , Mansour T. A. Sharabiani

Bayesian optimization has emerged as a strong candidate tool for global optimization of functions with expensive evaluation costs. However, due to the dynamic nature of research in Bayesian approaches, and the evolution of computing…

Applications · Statistics 2018-08-24 Ran Rubin

While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and their applicability over macroscopic time scales of physical…

Machine Learning · Statistics 2016-09-08 P. S. Koutsourelakis , Elias Bilionis

Most Machine Learning (ML) methods, from clustering to classification, rely on a distance function to describe relationships between datapoints. For complex datasets it is hard to avoid making some arbitrary choices when defining a distance…

Machine Learning · Statistics 2016-07-04 Gina Gruenhage , Manfred Opper , Simon Barthelme

Multidimensional scaling (MDS) is the act of embedding proximity information about a set of $n$ objects in $d$-dimensional Euclidean space. As originally conceived by the psychometric community, MDS was concerned with embedding a fixed set…

Machine Learning · Statistics 2024-12-12 Michael W. Trosset , Carey E. Priebe

The article develops a hybrid Variational Bayes algorithm that combines the mean-field and fixed-form Variational Bayes methods. The new estimation algorithm can be used to approximate any posterior without relying on conjugate priors. We…

Methodology · Statistics 2013-08-09 David J Nott , Minh-Ngoc Tran , Anthony Y. C. Kuk , Robert Kohn

Bayesian matrix factorization (BMF) is a powerful tool for producing low-rank representations of matrices and for predicting missing values and providing confidence intervals. Scaling up the posterior inference for massive-scale matrices is…

Machine Learning · Statistics 2019-02-28 Xiangju Qin , Paul Blomstedt , Eemeli Leppäaho , Pekka Parviainen , Samuel Kaski

Species distribution models (SDMs), which aim to predict species occurrence based on environmental variables, are widely used to monitor and respond to biodiversity change. Recent deep learning advances for SDMs have been shown to perform…

Machine Learning · Computer Science 2025-11-14 Catherine Villeneuve , Benjamin Akera , Mélisande Teng , David Rolnick

This position paper summarizes a recently developed research program focused on inference in the context of data centric science and engineering applications, and forecasts its trajectory forward over the next decade. Often one endeavours…

Computation · Statistics 2021-12-06 Ajay Jasra , Kody J. H. Law , Alexander Tarakanov , Fangyuan Yu

Motivation: Microarray experiments result in large scale data sets that require extensive mining and refining to extract useful information. We have been developing an efficient novel algorithm for nonmetric multidimensional scaling (nMDS)…

Pattern Formation and Solitons · Physics 2007-05-23 Y-h. Taguchi , Y. Oono

In this paper, we consider a Bayesian bi-level variable selection problem in high-dimensional regressions. In many practical situations, it is natural to assign group membership to each predictor. Examples include that genetic variants can…

Applications · Statistics 2018-03-29 Mingxuan Cai , Mingwei Dai , Jingsi Ming , Heng Peng , Jin Liu , Can Yang

This paper introduces the Bayesian Inference Engine (BIE), a general parallel, optimised software package for parameter inference and model selection. This package is motivated by the analysis needs of modern astronomical surveys and the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Martin D. Weinberg

Bioinformatics research is characterized by voluminous and incremental datasets and complex data analytics methods. The machine learning methods used in bioinformatics are iterative and parallel. These methods can be scaled to handle big…

Computational Engineering, Finance, and Science · Computer Science 2015-06-17 Hirak Kashyap , Hasin Afzal Ahmed , Nazrul Hoque , Swarup Roy , Dhruba Kumar Bhattacharyya
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