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This work presents a tractable approach to multi-object posterior computation under a generic measurement likelihood function. While filtering is a popular solution, valuable historical information is discarded. Posterior inference, which…

Computation · Statistics 2026-04-15 Ba Tuong Vo , Ba-Ngu Vo

Valid uncertainty quantification after model selection remains challenging in high-dimensional linear regression, especially within the possibilistic inferential model (PIM) framework. We develop possibilistic inferential models for…

Methodology · Statistics 2025-12-23 Yaohui Lin

Probabilistic graphical models allow us to encode a large probability distribution as a composition of smaller ones. It is oftentimes the case that we are interested in incorporating in the model the idea that some of these smaller…

Artificial Intelligence · Computer Science 2021-11-17 Jesus Cerquides

Inferring accurate posteriors for high-dimensional representations of the brightness of gravitationally-lensed sources is a major challenge, in part due to the difficulties of accurately quantifying the priors. Here, we report the use of a…

Instrumentation and Methods for Astrophysics · Physics 2022-11-30 Alexandre Adam , Adam Coogan , Nikolay Malkin , Ronan Legin , Laurence Perreault-Levasseur , Yashar Hezaveh , Yoshua Bengio

Inference is crucial in modern astronomical research, where hidden astrophysical features and patterns are often estimated from indirect and noisy measurements. Inferring the posterior of hidden features, conditioned on the observed…

Instrumentation and Methods for Astrophysics · Physics 2022-06-29 He Sun , Katherine L. Bouman , Paul Tiede , Jason J. Wang , Sarah Blunt , Dimitri Mawet

Integrated information theory provides a mathematical framework to fully characterize the cause-effect structure of a physical system. Here, we introduce PyPhi, a Python software package that implements this framework for causal analysis…

Neurons and Cognition · Quantitative Biology 2018-08-16 William G. P. Mayner , William Marshall , Larissa Albantakis , Graham Findlay , Robert Marchman , Giulio Tononi

Probabilistic inferences distill knowledge from graphs to aid human make important decisions. Due to the inherent uncertainty in the model and the complexity of the knowledge, it is desirable to help the end-users understand the inference…

Social and Information Networks · Computer Science 2019-08-21 Chao Chen , Yifei Liu , Xi Zhang , Sihong Xie

Starting with a set of weighted items, we want to create a generic sample of a certain size that we can later use to estimate the total weight of arbitrary subsets. For this purpose, we propose priority sampling which tested on Internet…

Data Structures and Algorithms · Computer Science 2007-05-23 Nick Duffield , Carsten Lund , Mikkel Thorup

How might a smooth probability distribution be estimated, with accurately quantified uncertainty, from a limited amount of sampled data? Here we describe a field-theoretic approach that addresses this problem remarkably well in one…

Data Analysis, Statistics and Probability · Physics 2018-10-24 Wei-Chia Chen , Ammar Tareen , Justin B. Kinney

In this paper, we propose an efficient pseudo-marginal Markov chain Monte Carlo (MCMC) sampling approach to draw samples from posterior shape distributions for image segmentation. The computation time of the proposed approach is independent…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Ertunc Erdil , Sinan Yildirim , Tolga Tasdizen , Mujdat Cetin

We present a deep learning system to infer the posterior distribution of a dense depth map associated with an image, by exploiting sparse range measurements, for instance from a lidar. While the lidar may provide a depth value for a small…

Computer Vision and Pattern Recognition · Computer Science 2019-04-18 Yanchao Yang , Alex Wong , Stefano Soatto

In statistical applications, it is common to encounter parameters supported on a varying or unknown dimensional space. Examples include the fused lasso regression, the matrix recovery under an unknown low rank, etc. Despite the ease of…

Methodology · Statistics 2022-10-04 Maoran Xu , Hua Zhou , Yujie Hu , Leo L. Duan

In many areas of applied statistics and machine learning, generating an arbitrary number of independent and identically distributed (i.i.d.) samples from a given distribution is a key task. When the distribution is known only through…

Artificial Intelligence · Computer Science 2021-10-29 Ulysse Marteau-Ferey , Francis Bach , Alessandro Rudi

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

Machine Learning · Statistics 2016-03-10 Umamahesh Srinivas

We present PPI++: a computationally lightweight methodology for estimation and inference based on a small labeled dataset and a typically much larger dataset of machine-learning predictions. The methods automatically adapt to the quality of…

Machine Learning · Statistics 2024-03-27 Anastasios N. Angelopoulos , John C. Duchi , Tijana Zrnic

Many fundamental problems in natural language processing rely on determining what entities appear in a given text. Commonly referenced as entity linking, this step is a fundamental component of many NLP tasks such as text understanding,…

Computation and Language · Computer Science 2016-02-01 Octavian-Eugen Ganea , Marina Ganea , Aurelien Lucchi , Carsten Eickhoff , Thomas Hofmann

Many modern statistical applications involve inference for complicated stochastic models for which the likelihood function is difficult or even impossible to calculate, and hence conventional likelihood-based inferential echniques cannot be…

Computation · Statistics 2013-05-29 Simon R. White , Theodore Kypraios , Simon P. Preston

InferPy is a Python package for probabilistic modeling with deep neural networks. It defines a user-friendly API that trades-off model complexity with ease of use, unlike other libraries whose focus is on dealing with very general…

Machine Learning · Computer Science 2020-02-13 Javier Cózar , Rafael Cabañas , Antonio Salmerón , Andrés R. Masegosa

Dirichlet process (DP) mixture models provide a flexible Bayesian framework for density estimation. Unfortunately, their flexibility comes at a cost: inference in DP mixture models is computationally expensive, even when conjugate…

Machine Learning · Computer Science 2009-07-13 Hal Daumé

Histograms are convenient non-parametric density estimators, which continue to be used ubiquitously. Summary quantities estimated from histogram-based probability density models depend on the choice of the number of bins. We introduce a…

Data Analysis, Statistics and Probability · Physics 2013-09-17 Kevin H. Knuth