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We place an Indian Buffet process (IBP) prior over the structure of a Bayesian Neural Network (BNN), thus allowing the complexity of the BNN to increase and decrease automatically. We further extend this model such that the prior on the…

Machine Learning · Statistics 2021-08-03 Samuel Kessler , Vu Nguyen , Stefan Zohren , Stephen Roberts

We build upon probabilistic models for Boolean Matrix and Boolean Tensor factorisation that have recently been shown to solve these problems with unprecedented accuracy and to enable posterior inference to scale to Billions of observation.…

Machine Learning · Statistics 2019-07-02 Tammo Rukat , Christopher Yau

A nonparametric Bayesian extension of Factor Analysis (FA) is proposed where observed data $\mathbf{Y}$ is modeled as a linear superposition, $\mathbf{G}$, of a potentially infinite number of hidden factors, $\mathbf{X}$. The Indian Buffet…

Applications · Statistics 2011-07-29 David Knowles , Zoubin Ghahramani

Matrix factorisation methods decompose multivariate observations as linear combinations of latent feature vectors. The Indian Buffet Process (IBP) provides a way to model the number of latent features required for a good approximation in…

Machine Learning · Statistics 2017-04-14 Matthew C. Pearce , Simon R. White

Continual learning models allow to learn and adapt to new changes and tasks over time. However, in continual and sequential learning scenarios in which the models are trained using different data with various distributions, neural networks…

Machine Learning · Computer Science 2020-08-17 HongLin Li , Payam Barnaghi , Shirin Enshaeifar , Frieder Ganz

Nonnegative Matrix Factorization (NMF) aims to factorize a matrix into two optimized nonnegative matrices appropriate for the intended applications. The method has been widely used for unsupervised learning tasks, including recommender…

Machine Learning · Statistics 2015-07-14 Junyu Xuan , Jie Lu , Guangquan Zhang , Richard Yi Da Xu , Xiangfeng Luo

By expressing prior distributions as general stochastic processes, nonparametric Bayesian methods provide a flexible way to incorporate prior knowledge and constrain the latent structure in statistical inference. The Indian buffet process…

Machine Learning · Statistics 2015-05-21 Mengjie Chen , Chao Gao , Hongyu Zhao

Continual learning aims to learn new tasks without forgetting previously learned ones. This is especially challenging when one cannot access data from previous tasks and when the model has a fixed capacity. Current regularization-based…

Machine Learning · Computer Science 2020-02-21 Sayna Ebrahimi , Mohamed Elhoseiny , Trevor Darrell , Marcus Rohrbach

The purpose of this work is to describe a unified, and indeed simple, mechanism for non-parametric Bayesian analysis, construction and generative sampling of a large class of latent feature models which one can describe as generalized…

Statistics Theory · Mathematics 2014-12-23 Lancelot F. James

Modern neural network based speech recognition models are required to continually absorb new data without re-training the whole system, especially in downstream applications using foundation models, having no access to the original training…

Computation and Language · Computer Science 2025-06-23 Enes Yavuz Ugan , Ngoc-Quan Pham , Alexander Waibel

Sequential Bayesian inference can be used for continual learning to prevent catastrophic forgetting of past tasks and provide an informative prior when learning new tasks. We revisit sequential Bayesian inference and test whether having…

Machine Learning · Computer Science 2025-01-09 Samuel Kessler , Adam Cobb , Tim G. J. Rudner , Stefan Zohren , Stephen J. Roberts

Factor analysis aims to determine latent factors, or traits, which summarize a given data set. Inter-battery factor analysis extends this notion to multiple views of the data. In this paper we show how a nonlinear, nonparametric version of…

Machine Learning · Statistics 2016-04-19 Andreas Damianou , Neil D. Lawrence , Carl Henrik Ek

This paper presents a Bayesian nonparametric latent feature model specially suitable for exploratory analysis of high-dimensional count data. We perform a non-negative doubly sparse matrix factorization that has two main advantages: not…

Machine Learning · Computer Science 2018-07-02 Melanie F. Pradier , Viktor Stojkoski , Zoran Utkovski , Ljupco Kocarev , Fernando Perez-Cruz

Using nonparametric methods has been increasingly explored in Bayesian hierarchical modeling as a way to increase model flexibility. Although the field shows a lot of promise, inference in many models, including Hierachical Dirichlet…

Machine Learning · Statistics 2015-01-19 Alexander Spangher

We propose a new Bayesian nonparametric prior for latent feature models, which we call the convergent Indian buffet process (CIBP). We show that under the CIBP, the number of latent features is distributed as a Poisson distribution with the…

Machine Learning · Statistics 2022-06-17 Ilsang Ohn

We are often interested in explaining data through a set of hidden factors or features. When the number of hidden features is unknown, the Indian Buffet Process (IBP) is a nonparametric latent feature model that does not bound the number of…

Machine Learning · Computer Science 2012-05-14 Finale Doshi-Velez , Zoubin Ghahramani

In this paper we propose an approach to avoiding catastrophic forgetting in sequential task learning scenarios. Our technique is based on a network reparameterization that approximately diagonalizes the Fisher Information Matrix of the…

Computer Vision and Pattern Recognition · Computer Science 2018-12-13 Xialei Liu , Marc Masana , Luis Herranz , Joost Van de Weijer , Antonio M. Lopez , Andrew D. Bagdanov

This paper proposes a simple but highly efficient expansion-based model for continual learning. The recent feature transformation, masking and factorization-based methods are efficient, but they grow the model only over the global or shared…

Machine Learning · Computer Science 2023-12-05 Soumya Roy , Vinay K Verma , Deepak Gupta

Task incremental learning aims to enable a system to maintain its performance on previously learned tasks while learning new tasks, solving the problem of catastrophic forgetting. One promising approach is to build an individual network or…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Jian Jiang , Oya Celiktutan

Continual Learning is a learning paradigm where learning systems are trained with sequential or streaming tasks. Two notable directions among the recent advances in continual learning with neural networks are ($i$) variational Bayes based…

Machine Learning · Computer Science 2020-02-24 Abhishek Kumar , Sunabha Chatterjee , Piyush Rai
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