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The Bayesian approach to machine learning amounts to computing posterior distributions of random variables from a probabilistic model of how the variables are related (that is, a prior distribution) and a set of observations of variables.…

Logic in Computer Science · Computer Science 2015-07-01 Johannes Borgström , Andrew D Gordon , Michael Greenberg , James Margetson , Jurgen Van Gael

Databases often contain corrupted, degraded, and noisy data with duplicate entries across and within each database. Such problems arise in citations, medical databases, genetics, human rights databases, and a variety of other applied…

Methodology · Statistics 2015-04-29 Rebecca C. Steorts

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

Latent space model plays a crucial role in network analysis, and accurate estimation of latent variables is essential for downstream tasks such as link prediction. However, the large number of parameters to be estimated presents a…

Methodology · Statistics 2025-09-22 Kuangnan Fang , Ruixuan Qin , Xinyan Fan

This report introduces general ideas and some basic methods of the Bayesian probability theory applied to physics measurements. Our aim is to make the reader familiar, through examples rather than rigorous formalism, with concepts such as:…

Data Analysis, Statistics and Probability · Physics 2009-11-10 G. D'Agostini

We pursue transfer learning to improve classifier accuracy on a target task with few labeled examples available for training. Recent work suggests that using a source task to learn a prior distribution over neural net weights, not just an…

Machine Learning · Computer Science 2024-05-27 Ethan Harvey , Mikhail Petrov , Michael C. Hughes

Given a supervised machine learning problem where the training set has been subject to a known sampling bias, how can a model be trained to fit the original dataset? We achieve this through the Bayesian inference framework by altering the…

Machine Learning · Statistics 2022-03-16 Max Sklar

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

Quantum Physics · Physics 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

In many real-world scenarios where data is high dimensional, test time acquisition of features is a non-trivial task due to costs associated with feature acquisition and evaluating feature value. The need for highly confident models with an…

Machine Learning · Computer Science 2019-09-17 Orpaz Goldstein , Mohammad Kachuee , Kimmo Karkkainen , Majid Sarrafzadeh

Sequential learning methods, such as active learning and Bayesian optimization, aim to select the most informative data for task learning. In many applications, however, data selection is constrained by unknown safety conditions, motivating…

Machine Learning · Computer Science 2025-01-22 Cen-You Li , Olaf Duennbier , Marc Toussaint , Barbara Rakitsch , Christoph Zimmer

Transfer learning is widely used to adapt large pretrained models to new tasks with only a small amount of new data. However, a challenge persists -- the features from the original task often do not fully cover what is needed for unseen…

Machine Learning · Computer Science 2026-02-10 Xingyu Alice Yang , Jianyu Zhang , Léon Bottou

We marshall the arguments for preferring Bayesian hypothesis testing and confidence sets to frequentist ones. We define admissible solutions to inference problems, noting that Bayesian solutions are admissible. We give seven weaker…

Statistics Theory · Mathematics 2024-05-22 Roger Sewell

Using transfer learning to adapt a pre-trained "source model" to a downstream "target task" can dramatically increase performance with seemingly no downside. In this work, we demonstrate that there can exist a downside after all: bias…

Machine Learning · Computer Science 2022-07-07 Hadi Salman , Saachi Jain , Andrew Ilyas , Logan Engstrom , Eric Wong , Aleksander Madry

Like all sub-fields of machine learning Bayesian Deep Learning is driven by empirical validation of its theoretical proposals. Given the many aspects of an experiment it is always possible that minor or even major experimental flaws can…

Machine Learning · Computer Science 2018-12-04 Jishnu Mukhoti , Pontus Stenetorp , Yarin Gal

Bayesian Optimization is methodology used in statistical modelling that utilizes a Gaussian process prior distribution to iteratively update a posterior distribution towards the true distribution of the data. Finding unbiased informative…

Machine Learning · Computer Science 2021-01-05 Ruduan Plug

In this paper, we present a Bayesian view on model-based reinforcement learning. We use expert knowledge to impose structure on the transition model and present an efficient learning scheme based on variational inference. This scheme is…

Machine Learning · Computer Science 2019-07-12 Markus Kaiser , Clemens Otte , Thomas Runkler , Carl Henrik Ek

Generalized Bayes posterior distributions are formed by putting a fractional power on the likelihood before combining with the prior via Bayes's formula. This fractional power, which is often viewed as a remedy for potential model…

Methodology · Statistics 2023-04-12 Pei-Shien Wu , Ryan Martin

The advent of Generative Artificial Intelligence (GAI) has heralded an inflection point that changed how society thinks about knowledge acquisition. While GAI cannot be fully trusted for decision-making, it may still provide valuable…

Methodology · Statistics 2025-05-20 Sean O'Hagan , Veronika Ročková

Continual learning is an online paradigm where a learner continually accumulates knowledge from different tasks encountered over sequential time steps. Importantly, the learner is required to extend and update its knowledge without…

Machine Learning · Statistics 2025-10-16 Tameem Adel

Through this project, we researched on transfer learning methods and their applications on real world problems. By implementing and modifying various methods in transfer learning for our problem, we obtained an insight in the advantages and…

Machine Learning · Computer Science 2017-07-11 Hailin Chen , Shengping Cui , Sebastian Li
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