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Bayesian methods promise to fix many shortcomings of deep learning, but they are impractical and rarely match the performance of standard methods, let alone improve them. In this paper, we demonstrate practical training of deep networks…

We propose a new class of Bayesian neural networks (BNNs) that can be trained using noisy data of variable fidelity, and we apply them to learn function approximations as well as to solve inverse problems based on partial differential…

机器学习 · 计算机科学 2021-06-02 Xuhui Meng , Hessam Babaee , George Em Karniadakis

Binary Neural Networks (BNNs) show promising progress in reducing computational and memory costs but suffer from substantial accuracy degradation compared to their real-valued counterparts on large-scale datasets, e.g., ImageNet. Previous…

机器学习 · 计算机科学 2019-06-21 Joseph Bethge , Haojin Yang , Marvin Bornstein , Christoph Meinel

High-dimensional problems have long been considered the Achilles' heel of Bayesian optimization algorithms. Spurred by the curse of dimensionality, a large collection of algorithms aim to make it more performant in this setting, commonly by…

机器学习 · 计算机科学 2024-12-13 Carl Hvarfner , Erik Orm Hellsten , Luigi Nardi

Deep learning is a form of machine learning for nonlinear high dimensional pattern matching and prediction. By taking a Bayesian probabilistic perspective, we provide a number of insights into more efficient algorithms for optimisation and…

机器学习 · 统计学 2018-01-23 Nicholas Polson , Vadim Sokolov

Neural Networks (NNs) have been widely {used in supervised learning} due to their ability to model complex nonlinear patterns, often presented in high-dimensional data such as images and text. However, traditional NNs often lack the ability…

人工智能 · 计算机科学 2022-10-18 Jiayu Huang , Yutian Pang , Yongming Liu , Hao Yan

Scientific machine learning has been successfully applied to inverse problems and PDE discovery in computational physics. One caveat concerning current methods is the need for large amounts of ("clean") data, in order to characterize the…

数值分析 · 数学 2021-11-30 Christophe Bonneville , Christopher J. Earls

While perception tasks such as visual object recognition and text understanding play an important role in human intelligence, the subsequent tasks that involve inference, reasoning and planning require an even higher level of intelligence.…

机器学习 · 统计学 2016-09-06 Hao Wang , Dit-Yan Yeung

Efficiently quantifying predictive uncertainty in medical images remains a challenge. While Bayesian neural networks (BNN) offer predictive uncertainty, they require substantial computational resources to train. Although Bayesian…

计算机视觉与模式识别 · 计算机科学 2024-11-21 Zeinab Abboud , Herve Lombaert , Samuel Kadoury

Efficiently tackling multiple tasks within complex environment, such as those found in robot manipulation, remains an ongoing challenge in robotics and an opportunity for data-driven solutions, such as reinforcement learning (RL).…

机器人学 · 计算机科学 2024-04-03 Carlos Plou , Ana C. Murillo , Ruben Martinez-Cantin

Learning the structure of Bayesian networks (BNs) from data is challenging, especially for datasets involving a large number of variables. The recently proposed divide-and-conquer (D\&D) strategies present a promising approach for learning…

机器学习 · 计算机科学 2025-07-01 Shengcai Liu , Hui Ou-yang , Zhiyuan Wang , Cheng Chen , Qijun Cai , Yew-Soon Ong , Ke Tang

Learning a Bayesian network is an NP-hard problem and with an increase in the number of nodes, classical algorithms for learning the structure of Bayesian networks become inefficient. In recent years, some methods and algorithms for…

机器学习 · 计算机科学 2022-08-23 Yury Kaminsky , Irina Deeva

We propose a Bayesian framework for training binary and spiking neural networks that achieves state-of-the-art performance without normalisation layers. Unlike commonly used surrogate gradient methods -- often heuristic and sensitive to…

机器学习 · 计算机科学 2025-05-26 James A. Walker , Moein Khajehnejad , Adeel Razi

It is well known in the literature that the problem of learning the structure of Bayesian networks is very hard to tackle: its computational complexity is super-exponential in the number of nodes in the worst case and polynomial in most…

统计计算 · 统计学 2017-04-14 Marco Scutari

Kernel methods are ubiquitous tools in machine learning. However, there is often little reason for the common practice of selecting a kernel a priori. Even if a universal approximating kernel is selected, the quality of the finite sample…

One of the basic tasks for Bayesian networks (BNs) is that of learning a network structure from data. The BN-learning problem is NP-hard, so the standard solution is heuristic search. Many approaches have been proposed for this task, but…

机器学习 · 计算机科学 2012-07-09 Marc Teyssier , Daphne Koller

Bayesian optimization (BO) is a popular paradigm for global optimization of expensive black-box functions, but there are many domains where the function is not completely a black-box. The data may have some known structure (e.g. symmetries)…

机器学习 · 计算机科学 2022-12-08 Samuel Kim , Peter Y. Lu , Charlotte Loh , Jamie Smith , Jasper Snoek , Marin Soljačić

Learning Bayesian networks is often cast as an optimization problem, where the computational task is to find a structure that maximizes a statistically motivated score. By and large, existing learning tools address this optimization problem…

机器学习 · 计算机科学 2013-01-30 Nir Friedman , Iftach Nachman , Dana Pe'er

We introduce a new method for learning Bayesian neural networks, treating them as a stack of multivariate Bayesian linear regression models. The main idea is to infer the layerwise posterior exactly if we know the target outputs of each…

机器学习 · 计算机科学 2024-11-20 Richard Kurle , Alexej Klushyn , Ralf Herbrich

Bayesian neural networks (BNNs) provide a formalism to quantify and calibrate uncertainty in deep learning. Current inference approaches for BNNs often resort to few-sample estimation for scalability, which can harm predictive performance,…

机器学习 · 计算机科学 2024-02-14 Zhe Zeng , Guy Van den Broeck