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Nonparametric Bayesian models are often based on the assumption that the objects being modeled are exchangeable. While appropriate in some applications (e.g., bag-of-words models for documents), exchangeability is sometimes assumed simply…

Machine Learning · Computer Science 2012-06-18 Kurt T. Miller , Thomas Griffiths , Michael I. Jordan

We propose a nonparametric Bayesian factor regression model that accounts for uncertainty in the number of factors, and the relationship between factors. To accomplish this, we propose a sparse variant of the Indian Buffet Process and…

Machine Learning · Computer Science 2009-08-06 Piyush Rai , Hal Daumé

We propose an approach to do learning in Gaussian factor graphs. We treat all relevant quantities (inputs, outputs, parameters, latents) as random variables in a graphical model, and view both training and prediction as inference problems…

Machine Learning · Computer Science 2024-07-18 Seth Nabarro , Mark van der Wilk , Andrew J Davison

This paper introduces the Deep Functional Factor Model (DF2M), a Bayesian nonparametric model designed for analysis of high-dimensional functional time series. DF2M is built upon the Indian Buffet Process and the multi-task Gaussian…

Machine Learning · Statistics 2026-01-21 Yirui Liu , Xinghao Qiao , Yulong Pei , Liying Wang

A natural strategy for continual learning is to weigh a Bayesian ensemble of fixed functions. This suggests that if a (single) neural network could be interpreted as an ensemble, one could design effective algorithms that learn without…

Machine Learning · Computer Science 2025-02-28 Ari S. Benjamin , Christian Pehle , Kyle Daruwalla

Transfer learning has recently shown significant performance across various tasks involving deep neural networks. In these transfer learning scenarios, the prior distribution for downstream data becomes crucial in Bayesian model averaging…

Machine Learning · Computer Science 2024-03-13 Hyungi Lee , Giung Nam , Edwin Fong , Juho Lee

Large language models store all learned knowledge in a single, fixed weight vector. Teaching a model new capabilities requires modifying those same weights, inevitably degrading previously acquired knowledge. This fundamental limitation,…

Machine Learning · Computer Science 2026-02-24 Sarim Chaudhry

Continual learning can incrementally absorb new concepts without interfering with previously learned knowledge. Motivated by the characteristics of neural networks, in which information is stored in weights on connections, we investigated…

Machine Learning · Computer Science 2023-06-21 Depeng Li , Tianqi Wang , Bingrong Xu , Kenji Kawaguchi , Zhigang Zeng , Ponnuthurai Nagaratnam Suganthan

We propose a Bayesian neural network-based continual learning algorithm using Variational Inference, aiming to overcome several drawbacks of existing methods. Specifically, in continual learning scenarios, storing network parameters at each…

Machine Learning · Computer Science 2024-11-22 Sanchar Palit , Biplab Banerjee , Subhasis Chaudhuri

Compared to point estimates calculated by standard neural networks, Bayesian neural networks (BNN) provide probability distributions over the output predictions and model parameters, i.e., the weights. Training the weight distribution of a…

Machine Learning · Computer Science 2022-12-01 Philipp Wagner , Xinyang Wu , Marco F. Huber

Artificial neural networks encounter a notable challenge known as continual learning, which involves acquiring knowledge of multiple tasks over an extended period. This challenge arises due to the tendency of previously learned weights to…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Yonatan Sverdlov , Shimon Ullman

Deep belief networks are a powerful way to model complex probability distributions. However, learning the structure of a belief network, particularly one with hidden units, is difficult. The Indian buffet process has been used as a…

Machine Learning · Statistics 2010-08-20 Ryan Prescott Adams , Hanna M. Wallach , Zoubin Ghahramani

Deep generative models (DGMs) have brought about a major breakthrough, as well as renewed interest, in generative latent variable models. However, DGMs do not allow for performing data-driven inference of the number of latent features…

Machine Learning · Computer Science 2018-04-03 Sotirios P. Chatzis

In the realm of statistical learning, the increasing volume of accessible data and increasing model complexity necessitate robust methodologies. This paper explores two branches of robust Bayesian methods in response to this trend. The…

Methodology · Statistics 2024-12-02 Masahiro Tanaka

We present the Wright-Fisher Indian buffet process (WF-IBP), a probabilistic model for time-dependent data assumed to have been generated by an unknown number of latent features. This model is suitable as a prior in Bayesian nonparametric…

Machine Learning · Statistics 2016-11-23 Valerio Perrone , Paul A. Jenkins , Dario Spano , Yee Whye Teh

Learning abstract and systematic relations has been an open issue in neural network learning for over 30 years. It has been shown recently that neural networks do not learn relations based on identity and are unable to generalize well to…

Machine Learning · Computer Science 2020-07-07 Radha Kopparti , Tillman Weyde

Catastrophic forgetting is a challenge issue in continual learning when a deep neural network forgets the knowledge acquired from the former task after learning on subsequent tasks. However, existing methods try to find the joint…

Machine Learning · Computer Science 2018-12-06 Jian Peng , Jiang Hao , Zhuo Li , Enqiang Guo , Xiaohong Wan , Deng Min , Qing Zhu , Haifeng Li

In this paper, we present an infinite hierarchical non-parametric Bayesian model to extract the hidden factors over observed data, where the number of hidden factors for each layer is unknown and can be potentially infinite. Moreover, the…

Machine Learning · Computer Science 2014-10-27 Erte Pan , Zhu Han

Unlike humans, who are capable of continual learning over their lifetimes, artificial neural networks have long been known to suffer from a phenomenon known as catastrophic forgetting, whereby new learning can lead to abrupt erasure of…

Artificial Intelligence · Computer Science 2018-06-20 Christos Kaplanis , Murray Shanahan , Claudia Clopath

Continual lifelong learning is essential to many applications. In this paper, we propose a simple but effective approach to continual deep learning. Our approach leverages the principles of deep model compression, critical weights…

Machine Learning · Computer Science 2019-10-31 Steven C. Y. Hung , Cheng-Hao Tu , Cheng-En Wu , Chien-Hung Chen , Yi-Ming Chan , Chu-Song Chen