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Bayesian inference is attractive for its coherence and good frequentist properties. However, it is a common experience that eliciting a honest prior may be difficult and, in practice, people often take an {\em empirical Bayes} approach,…

Statistics Theory · Mathematics 2012-04-09 Sonia Petrone , Judith Rousseau , Catia Scricciolo

We consider a dictionary learning problem whose objective is to design a dictionary such that the signals admits a sparse or an approximate sparse representation over the learned dictionary. Such a problem finds a variety of applications…

Machine Learning · Computer Science 2015-03-10 Linxiao Yang , Jun Fang , Hong Cheng , Hongbin Li

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

Artificial Intelligence · Computer Science 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

Bayesian sampling is an important task in statistics and machine learning. Over the past decade, many ensemble-type sampling methods have been proposed. In contrast to the classical Markov chain Monte Carlo methods, these new methods deploy…

Numerical Analysis · Mathematics 2024-05-14 Shi Chen , Zhiyan Ding , Qin Li

We propose a probabilistic modeling framework for learning the dynamic patterns in the collective behaviors of social agents and developing profiles for different behavioral groups, using data collected from multiple information sources.…

Machine Learning · Statistics 2016-06-28 Lin Li , Ananthram Swami , Anna Scaglione

Recent advances in Bayesian probability theory and its application to cognitive science in combination with the development of a new generation of computational tools and methods for probabilistic computation have led to a 'probabilistic…

Computation and Language · Computer Science 2025-09-29 Christoph Unger , Hendrik Buschmeier

Unifying probabilistic and logical learning is a key challenge in AI. We introduce a Bayesian inductive logic programming approach that learns minimum message length hypotheses from noisy data. Our approach balances hypothesis complexity…

Artificial Intelligence · Computer Science 2026-01-26 Ruben Sharma , Sebastijan Dumančić , Ross D. King , Andrew Cropper

This paper examines the characterization and learning of grammars defined with enriched representational models. Model-theoretic approaches to formal language theory traditionally assume that each position in a string belongs to exactly one…

Formal Languages and Automata Theory · Computer Science 2019-06-25 Jane Chandlee , Remi Eyraud , Jeffrey Heinz , Adam Jardine , Jonathan Rawski

Bayesian inference involves the specification of a statistical model by a statistician or practitioner, with careful thought about what each parameter represents. This results in particularly interpretable models which can be used to…

Computation · Statistics 2019-08-07 Jonathan Law , Darren Wilkinson

Progress in probabilistic generative models has accelerated, developing richer models with neural architectures, implicit densities, and with scalable algorithms for their Bayesian inference. However, there has been limited progress in…

Machine Learning · Statistics 2017-10-31 Dustin Tran , David M. Blei

Approximate Bayesian inference on the basis of summary statistics is well-suited to complex problems for which the likelihood is either mathematically or computationally intractable. However the methods that use rejection suffer from the…

Computation · Statistics 2010-05-04 M. G. B. Blum , O. Francois

This paper presents a novel approach to the acquisition of language models from corpora. The framework builds on Cobweb, an early system for constructing taxonomic hierarchies of probabilistic concepts that used a tabular, attribute-value…

Computation and Language · Computer Science 2022-12-23 Christopher J. MacLellan , Peter Matsakis , Pat Langley

Probabilistic Graphical Bayesian models of causation have continued to impact on strategic analyses designed to help evaluate the efficacy of different interventions on systems. However, the standard causal algebras upon which these…

We look into the task of \emph{generalizing} word embeddings: given a set of pre-trained word vectors over a finite vocabulary, the goal is to predict embedding vectors for out-of-vocabulary words, \emph{without} extra contextual…

Computation and Language · Computer Science 2020-10-22 Zhao Jinman , Shawn Zhong , Xiaomin Zhang , Yingyu Liang

In foundational works of generative phonology it is claimed that subjects can reliably discriminate between possible but non-occurring words and words that could not be English. In this paper we examine the use of a probabilistic…

cmp-lg · Computer Science 2008-02-03 John Coleman , Janet Pierrehumbert

Extracting meaning from uncertain, noisy data is a fundamental problem across time series analysis, pattern recognition, and language modeling. This survey presents a unified mathematical framework that connects classical estimation theory,…

Machine Learning · Computer Science 2025-08-22 Mohammed Elmusrati

This paper describes a Bayesian method for learning causal networks using samples that were selected in a non-random manner from a population of interest. Examples of data obtained by non-random sampling include convenience samples and…

Artificial Intelligence · Computer Science 2013-01-18 Gregory F. Cooper

We present a class of models that, via a simple construction, enables exact, incremental, non-parametric, polynomial-time, Bayesian inference of conditional measures. The approach relies upon creating a sequence of covers on the…

Machine Learning · Statistics 2011-05-31 Christos Dimitrakakis

Word embeddings learnt from large corpora have been adopted in various applications in natural language processing and served as the general input representations to learning systems. Recently, a series of post-processing methods have been…

Machine Learning · Computer Science 2019-10-25 Shuai Tang , Mahta Mousavi , Virginia R. de Sa

Current state-of-the-art nonparametric Bayesian text clustering methods model documents through multinomial distribution on bags of words. Although these methods can effectively utilize the word burstiness representation of documents and…

Machine Learning · Computer Science 2018-12-03 Tiehang Duan , Qi Lou , Sargur N. Srihari , Xiaohui Xie
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