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In federated learning problems, data is scattered across different servers and exchanging or pooling it is often impractical or prohibited. We develop a Bayesian nonparametric framework for federated learning with neural networks. Each data…

Machine learning models are widely used for real-world applications, such as document analysis and vision. Constrained machine learning problems are problems where learned models have to both be accurate and respect constraints. For…

Machine Learning · Computer Science 2021-12-03 Guillaume Perez , Sebastian Ament , Carla Gomes , Arnaud Lallouet

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

Exoplanet observations are currently analysed with Bayesian retrieval techniques. Due to the computational load of the models used, a compromise is needed between model complexity and computing time. Analysis of data from future facilities,…

Earth and Planetary Astrophysics · Physics 2022-06-29 Francisco Ardevol Martinez , Michiel Min , Inga Kamp , Paul I. Palmer

Bayesian networks are basic graphical models, used widely both in statistics and artificial intelligence. These statistical models of conditional independence structure are described by acyclic directed graphs whose nodes correspond to…

Optimization and Control · Mathematics 2010-12-01 Raymond Hemmecke , Silvia Lindner , Milan Studený

The neural linear model is a simple adaptive Bayesian linear regression method that has recently been used in a number of problems ranging from Bayesian optimization to reinforcement learning. Despite its apparent successes in these…

Machine Learning · Statistics 2019-12-19 Sebastian W. Ober , Carl Edward Rasmussen

Continual learning is the ability to acquire new knowledge without forgetting the previously learned one, assuming no further access to past training data. Neural network approximators trained with gradient descent are known to fail in this…

Machine Learning · Computer Science 2021-11-05 Rodrigue Siry

Natural Evolution Strategies (NES) is a promising framework for black-box continuous optimization problems. NES optimizes the parameters of a probability distribution based on the estimated natural gradient, and one of the key parameters…

Neural and Evolutionary Computing · Computer Science 2022-02-08 Masahiro Nomura , Isao Ono

We study an alternative use of machine learning. We train neural nets to provide the parameter estimate of a given (structural) econometric model, for example, discrete choice or consumer search. Training examples consist of datasets…

Econometrics · Economics 2025-02-10 Yanhao , Wei , Zhenling Jiang

We overview some results on distributed learning with focus on a family of recently proposed algorithms known as non-Bayesian social learning. We consider different approaches to the distributed learning problem and its algorithmic…

Optimization and Control · Mathematics 2016-09-27 Angelia Nedić , Alex Olshevsky , César A. Uribe

Active learning (AL) is a sequential learning scheme aiming to select the most informative data. AL reduces data consumption and avoids the cost of labeling large amounts of data. However, AL trains the model and solves an acquisition…

Machine Learning · Computer Science 2025-01-13 Cen-You Li , Marc Toussaint , Barbara Rakitsch , Christoph Zimmer

Deep learning has shown its human-level performance in various applications. However, current deep learning models are characterised by catastrophic forgetting of old knowledge when learning new classes. This poses a challenge particularly…

Machine Learning · Computer Science 2022-04-29 Yang Yang , Zhiying Cui , Junjie Xu , Changhong Zhong , Wei-Shi Zheng , Ruixuan Wang

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Neural networks (NNs) are primarily developed within the frequentist statistical framework. Nevertheless, frequentist NNs lack the capability to provide uncertainties in the predictions, and hence their robustness can not be adequately…

Computational Engineering, Finance, and Science · Computer Science 2023-10-26 Nastaran Dabiran , Brandon Robinson , Rimple Sandhu , Mohammad Khalil , Dominique Poirel , Abhijit Sarkar

Leveraging the wealth of unlabeled data produced in recent years provides great potential for improving supervised models. When the cost of acquiring labels is high, probabilistic active learning methods can be used to greedily select the…

Machine Learning · Statistics 2021-02-09 Robert Pinsler , Jonathan Gordon , Eric Nalisnick , José Miguel Hernández-Lobato

Real-world data contains aleatoric uncertainty - irreducible noise arising from imperfect measurements or from incomplete knowledge about the data generation process. Mean-variance estimation networks can learn this type of uncertainty but…

Machine Learning · Computer Science 2026-05-29 Jiaxiang Yi , Miguel A. Bessa

This work studies the class of algorithms for learning with side-information that emerge by extending generative models with embedded context-related variables. Using finite mixture models (FMM) as the prototypical Bayesian network, we show…

Machine Learning · Statistics 2020-08-17 Serafeim Perdikis , Robert Leeb , Ricardo Chavarriaga , José del R. Millán

Batch training of machine learning models based on neural networks is now well established, whereas to date streaming methods are largely based on linear models. To go beyond linear in the online setting, nonparametric methods are of…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Alec Koppel , Amrit Singh Bedi , Ketan Rajawat , Brian M. Sadler

This work introduces a novel approach for the joint selection of model structure and parameter learning for nonlinear dynamical systems identification. Focusing on a specific Recurrent Neural Networks (RNNs) family, i.e., Nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Corrado Sgadari , Alessio La Bella , Marcello Farina

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