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This paper addresses Bayesian inference related to partial differential equations (PDEs), particularly nonparametric regression constrained by PDEs. To effectively encode prior information, we propose a novel framework that learns a…

Statistics Theory · Mathematics 2026-02-09 Junxiong Jia , Deyu Meng , Zongben Xu , Fang Yao

In machine learning, Domain Adaptation (DA) arises when the distribution gen- erating the test (target) data differs from the one generating the learning (source) data. It is well known that DA is an hard task even under strong assumptions,…

Machine Learning · Statistics 2012-12-12 Pascal Germain , Amaury Habrard , François Laviolette , Emilie Morvant

Generative data augmentation, which scales datasets by obtaining fake labeled examples from a trained conditional generative model, boosts classification performance in various learning tasks including (semi-)supervised learning, few-shot…

Machine Learning · Computer Science 2023-05-30 Chenyu Zheng , Guoqiang Wu , Chongxuan Li

In this work, we aim to establish a Bayesian adaptive learning framework by focusing on estimating latent variables in deep neural network (DNN) models. Latent variables indeed encode both transferable distributional information and…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-26 Hu Hu , Sabato Marco Siniscalchi , Chin-Hui Lee

One of the core facets of Bayesianism is in the updating of prior beliefs in light of new evidence$\text{ -- }$so how can we maintain a Bayesian approach if we have no prior beliefs in the first place? This is one of the central challenges…

Machine Learning · Statistics 2026-02-10 Tommy Rochussen , Vincent Fortuin

In the context of supervised statistical learning, it is typically assumed that the training set comes from the same distribution that draws the test samples. When this is not the case, the behavior of the learned model is unpredictable and…

Machine Learning · Computer Science 2022-05-12 Antonio-Javier Gallego , Jorge Calvo-Zaragoza , Robert B. Fisher

We develop a new, principled algorithm for estimating the contribution of training data points to the behavior of a deep learning model, such as a specific prediction it makes. Our algorithm estimates the AME, a quantity that measures the…

Machine Learning · Computer Science 2022-06-22 Jinkun Lin , Anqi Zhang , Mathias Lecuyer , Jinyang Li , Aurojit Panda , Siddhartha Sen

Deep learning (DL) techniques are highly effective for defect detection from images. Training DL classification models, however, requires vast amounts of labeled data which is often expensive to collect. In many cases, not only the…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Adrian Shuai Li , Elisa Bertino , Rih-Teng Wu , Ting-Yan Wu

Large pre-trained models are usually fine-tuned on downstream task data, and tested on unseen data. When the train and test data come from different domains, the model is likely to struggle, as it is not adapted to the test domain. We…

Computation and Language · Computer Science 2022-06-02 Omer Antverg , Eyal Ben-David , Yonatan Belinkov

We consider the problem of learning the dynamics of a linear system when one has access to data generated by an auxiliary system that shares similar (but not identical) dynamics, in addition to data from the true system. We use a weighted…

Machine Learning · Statistics 2025-01-20 Lei Xin , Lintao Ye , George Chiu , Shreyas Sundaram

Bayesian learning has been recently considered as an effective means of accounting for uncertainty in trained deep network parameters. This is of crucial importance when dealing with small or sparse training datasets. On the other hand,…

Machine Learning · Computer Science 2018-02-13 Harris Partaourides , Sotirios Chatzis

Typical models of learning assume incremental estimation of continuously-varying decision variables like expected rewards. However, this class of models fails to capture more idiosyncratic, discrete heuristics and strategies that people and…

Machine Learning · Computer Science 2024-02-27 Carlos G. Correa , Thomas L. Griffiths , Nathaniel D. Daw

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

Machine Learning · Statistics 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

The development of fair and ethical AI systems requires careful consideration of bias mitigation, an area often overlooked or ignored. In this study, we introduce a novel and efficient approach for addressing biases called Targeted Data…

Machine Learning · Computer Science 2023-08-23 Agnieszka Mikołajczyk-Bareła , Maria Ferlin , Michał Grochowski

Data augmentation has been widely employed to improve the generalization of deep neural networks. Most existing methods apply fixed or random transformations. However, we find that sample difficulty evolves along with the model's…

Machine Learning · Computer Science 2025-10-02 Suorong Yang , Jie Zong , Lihang Wang , Ziheng Qin , Hai Gan , Pengfei Zhou , Kai Wang , Yang You , Furao Shen

When training a machine learning classifier on data where one of the classes is intrinsically rare, the classifier will often assign too few sources to the rare class. To address this, it is common to up-weight the examples of the rare…

Machine Learning · Computer Science 2022-08-02 Sean E. Lake , Chao-Wei Tsai

Generalization remains a central yet unresolved challenge in deep learning, particularly the ability to predict a model's performance beyond its training distribution using quantities available prior to test-time evaluation. Building on the…

Semi-supervised domain adaptation (SSDA) adapts a learner to a new domain by effectively utilizing source domain data and a few labeled target samples. It is a practical yet under-investigated research topic. In this paper, we analyze the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Wenqiao Zhang , Changshuo Liu , Can Cui , Beng Chin Ooi

Deep learning in computer vision has achieved great success with the price of large-scale labeled training data. However, exhaustive data annotation is impracticable for each task of all domains of interest, due to high labor costs and…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Hui Tang , Kui Jia

This paper reviews recent developments in statistical structure learning; namely, Bayesian model reduction. Bayesian model reduction is a method for rapidly computing the evidence and parameters of probabilistic models that differ only in…

Methodology · Statistics 2019-10-15 Karl Friston , Thomas Parr , Peter Zeidman
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