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Much of Bayesian inference centers around the design of estimators for inverse problems which are optimal assuming the data comes from a known prior. But what do these optimality guarantees mean if the prior is unknown? In recent years,…

Machine Learning · Computer Science 2024-09-20 Aayush Karan , Kulin Shah , Sitan Chen , Yonina C. Eldar

Bayesian optimisation has gained great popularity as a tool for optimising the parameters of machine learning algorithms and models. Somewhat ironically, setting up the hyper-parameters of Bayesian optimisation methods is notoriously hard.…

Machine Learning · Statistics 2014-07-01 Ziyu Wang , Nando de Freitas

We propose a general framework for neural network compression that is motivated by the Minimum Description Length (MDL) principle. For that we first derive an expression for the entropy of a neural network, which measures its complexity…

Machine Learning · Computer Science 2018-12-20 Simon Wiedemann , Arturo Marban , Klaus-Robert Müller , Wojciech Samek

Compression of Neural Networks (NN) has become a highly studied topic in recent years. The main reason for this is the demand for industrial scale usage of NNs such as deploying them on mobile devices, storing them efficiently, transmitting…

Machine Learning · Statistics 2017-12-08 Marco Federici , Karen Ullrich , Max Welling

We present a novel global compression framework for deep neural networks that automatically analyzes each layer to identify the optimal per-layer compression ratio, while simultaneously achieving the desired overall compression. Our…

Machine Learning · Computer Science 2021-11-22 Lucas Liebenwein , Alaa Maalouf , Oren Gal , Dan Feldman , Daniela Rus

When constructing models of the world, we aim for optimal compressions: models that include as few details as possible while remaining as accurate as possible. But which details -- or features measured in data -- should we choose to include…

Quantitative Methods · Quantitative Biology 2025-05-06 David P. Carcamo , Nicholas J. Weaver , Purushottam D. Dixit , Christopher W. Lynn

In this paper we develop a dynamic form of Bayesian optimization for machine learning models with the goal of rapidly finding good hyperparameter settings. Our method uses the partial information gained during the training of a machine…

Machine Learning · Statistics 2014-06-17 Kevin Swersky , Jasper Snoek , Ryan Prescott Adams

Bayesian optimization is an effective methodology for the global optimization of functions with expensive evaluations. It relies on querying a distribution over functions defined by a relatively cheap surrogate model. An accurate model for…

Neural network pruning is a highly effective technique aimed at reducing the computational and memory demands of large neural networks. In this research paper, we present a novel approach to pruning neural networks utilizing Bayesian…

Machine Learning · Statistics 2023-08-07 Sunil Mathew , Daniel B. Rowe

This paper studies the problem of learning Bayesian networks from continuous observational data, generated according to a linear Gaussian structural equation model. We consider an $\ell_0$-penalized maximum likelihood estimator for this…

Machine Learning · Statistics 2025-10-14 Tong Xu , Simge Küçükyavuz , Ali Shojaie , Armeen Taeb

The performance of many machine learning models depends on their hyper-parameter settings. Bayesian Optimization has become a successful tool for hyper-parameter optimization of machine learning algorithms, which aims to identify optimal…

Machine Learning · Computer Science 2020-08-04 Lidan Wang , Franck Dernoncourt , Trung Bui

Despite superior performance on many computer vision tasks, deep convolution neural networks are well known to be compressed on devices that have resource constraints. Most existing network pruning methods require laborious human efforts…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Xiawu Zheng , Yuexiao Ma , Teng Xi , Gang Zhang , Errui Ding , Yuchao Li , Jie Chen , Yonghong Tian , Rongrong Ji

The key distinguishing property of a Bayesian approach is marginalization, rather than using a single setting of weights. Bayesian marginalization can particularly improve the accuracy and calibration of modern deep neural networks, which…

Machine Learning · Computer Science 2022-03-31 Andrew Gordon Wilson , Pavel Izmailov

We consider the Bayesian optimal filtering problem: i.e. estimating some conditional statistics of a latent time-series signal from an observation sequence. Classical approaches often rely on the use of assumed or estimated transition and…

Machine Learning · Statistics 2023-03-16 Adrian N. Bishop , Edwin V. Bonilla

Marginalising out uncertain quantities within the internal representations or parameters of neural networks is of central importance for a wide range of learning techniques, such as empirical, variational or full Bayesian methods. We set…

Machine Learning · Statistics 2015-07-21 Justin Bayer , Maximilian Karl , Daniela Korhammer , Patrick van der Smagt

In this paper we present an end-to-end meta-learned system for image compression. Traditional machine learning based approaches to image compression train one or more neural network for generalization performance. However, at inference…

Image and Video Processing · Electrical Eng. & Systems 2021-05-04 Nannan Zou , Honglei Zhang , Francesco Cricri , Hamed R. Tavakoli , Jani Lainema , Miska Hannuksela , Emre Aksu , Esa Rahtu

Training neural networks is a challenging non-convex optimization problem, and backpropagation or gradient descent can get stuck in spurious local optima. We propose a novel algorithm based on tensor decomposition for guaranteed training of…

Machine Learning · Computer Science 2016-01-13 Majid Janzamin , Hanie Sedghi , Anima Anandkumar

Bayesian optimization is a sequential method for minimizing objective functions that are expensive to evaluate and about which few assumptions can be made. By using all gathered data to train a Gaussian process model for the function and…

Machine Learning · Computer Science 2026-05-07 Jesse Schneider , William J. Welch

The ability of overparameterized deep networks to generalize well has been linked to the fact that stochastic gradient descent (SGD) finds solutions that lie in flat, wide minima in the training loss -- minima where the output of the…

Machine Learning · Computer Science 2019-06-03 Vaishnavh Nagarajan , J. Zico Kolter

In this article, we propose a novel pessimism-based Bayesian learning method for optimal dynamic treatment regimes in the offline setting. When the coverage condition does not hold, which is common for offline data, the existing solutions…

Machine Learning · Statistics 2023-02-23 Yunzhe Zhou , Zhengling Qi , Chengchun Shi , Lexin Li