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Divide-and-conquer Bayesian methods consist of three steps: dividing the data into smaller computationally manageable subsets, running a sampling algorithm in parallel on all the subsets, and combining parameter draws from all the subsets.…

Methodology · Statistics 2021-06-01 Chunlei Wang , Sanvesh Srivastava

Parameter inference is a fundamental problem in data-driven modeling. Given observed data that is believed to be a realization of some parameterized model, the aim is to find parameter values that are able to explain the observed data. In…

Data Structures and Algorithms · Computer Science 2016-04-20 Carlo Albert , Simone Ulzega , Ruedi Stoop

This paper proposes Bayesian mosaic, a parallelizable composite posterior, for scalable Bayesian inference on a broad class of multivariate discrete data models. Sampling is embarrassingly parallel since Bayesian mosaic is a multiplication…

Methodology · Statistics 2018-04-03 Ye Wang , David Dunson

This paper proposes new methods for analyzing dynamic images registered by multichannel, highly sensitive detectors with low spatial but high temporal resolution. The principal characteristic of the approach is the absence of factorization…

Instrumentation and Methods for Astrophysics · Physics 2024-10-10 S. A. Sharakin , R. E. Saraev

A Bayesian pseudocoreset is a small synthetic dataset for which the posterior over parameters approximates that of the original dataset. While promising, the scalability of Bayesian pseudocoresets is not yet validated in realistic problems…

Machine Learning · Computer Science 2022-10-13 Balhae Kim , Jungwon Choi , Seanie Lee , Yoonho Lee , Jung-Woo Ha , Juho Lee

We explore the theoretical and numerical property of a fully Bayesian model selection method in sparse ultrahigh-dimensional settings, i.e., $p\gg n$, where $p$ is the number of covariates and $n$ is the sample size. Our method consists of…

Methodology · Statistics 2013-03-13 Zuofeng Shang , Ping Li

In recent years, the shortcomings of Bayesian posteriors as inferential devices have received increased attention. A popular strategy for fixing them has been to instead target a Gibbs measure based on losses that connect a parameter of…

Statistics Theory · Mathematics 2025-04-24 David T. Frazier , Jeremias Knoblauch , Jack Jewson , Christopher Drovandi

A novel formalism for Bayesian learning in the context of complex inference models is proposed. The method is based on the use of the Stationary Fokker--Planck (SFP) approach to sample from the posterior density. Stationary Fokker--Planck…

Disordered Systems and Neural Networks · Physics 2009-10-26 Arturo Berrones

We introduce a new method for learning Bayesian neural networks, treating them as a stack of multivariate Bayesian linear regression models. The main idea is to infer the layerwise posterior exactly if we know the target outputs of each…

Machine Learning · Computer Science 2024-11-20 Richard Kurle , Alexej Klushyn , Ralf Herbrich

We introduce a Bayesian solution to the problem of inferring the density profile of strong gravitational lenses when the lens galaxy may contain multiple dark or faint substructures. The source and lens models are based on a superposition…

Instrumentation and Methods for Astrophysics · Physics 2015-10-12 Brendon J. Brewer , David Huijser , Geraint F. Lewis

pocoMC is a Python package for accelerated Bayesian inference in astronomy and cosmology. The code is designed to sample efficiently from posterior distributions with non-trivial geometry, including strong multimodality and non-linearity.…

Instrumentation and Methods for Astrophysics · Physics 2022-07-13 Minas Karamanis , David Nabergoj , Florian Beutler , John A. Peacock , Uros Seljak

Object detection systems based on the deep convolutional neural network (CNN) have recently made ground- breaking advances on several object detection benchmarks. While the features learned by these high-capacity neural networks are…

Computer Vision and Pattern Recognition · Computer Science 2016-01-15 Yuting Zhang , Kihyuk Sohn , Ruben Villegas , Gang Pan , Honglak Lee

While general object detection with deep learning has achieved great success in the past few years, the performance and efficiency of detecting small objects are far from satisfactory. The most common and effective way to promote small…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Chenhongyi Yang , Zehao Huang , Naiyan Wang

We formulate, and present a numerical method for solving, an inverse problem for inferring parameters of a deterministic model from stochastic observational data (quantities of interest). The solution, given as a probability measure, is…

Numerical Analysis · Mathematics 2021-05-04 T. Butler , J. D. Jakeman , T. Wildey

In conventional approaches for multiobject tracking (MOT), raw sensor data undergoes several preprocessing stages to reduce data rate and computational complexity. This typically includes coherent processing that aims at maximizing the…

Signal Processing · Electrical Eng. & Systems 2025-03-04 Mingchao Liang , Florian Meyer

Sparse Bayesian learning is a state-of-the-art supervised learning algorithm that can choose a subset of relevant samples from the input data and make reliable probabilistic predictions. However, in the presence of high-dimensional data…

Machine Learning · Computer Science 2020-01-10 Bingbing Jiang , Chang Li , Maarten de Rijke , Xin Yao , Huanhuan Chen

This study is a part of design of an audio system for in-house object detection system for visually impaired, low vision personnel by birth or by an accident or due to old age. The input of the system will be scene and output as audio.…

Computer Vision and Pattern Recognition · Computer Science 2013-07-15 Y. Jayanta Singh , Shalu Gupta

In this paper, we propose a scalable Bayesian method for sparse covariance matrix estimation by incorporating a continuous shrinkage prior with a screening procedure. In the first step of the procedure, the off-diagonal elements with small…

Methodology · Statistics 2023-11-22 Kyoungjae Lee , Seongil Jo , Kyeongwon Lee , Jaeyong Lee

The boundary of solar system object discovery lies in detecting its faintest members. However, their discovery in detection catalogs from imaging surveys is fundamentally limited by the practice of thresholding detections at signal-to-noise…

Most tracking-by-detection methods employ a local search window around the predicted object location in the current frame assuming the previous location is accurate, the trajectory is smooth, and the computational capacity permits a search…

Computer Vision and Pattern Recognition · Computer Science 2016-05-09 Gao Zhu , Fatih Porikli , Hongdong Li
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