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Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using…

机器学习 · 统计学 2019-05-28 Aliaksandr Hubin , Geir Storvik

Hierarchical Bayesian networks and neural networks with stochastic hidden units are commonly perceived as two separate types of models. We show that either of these types of models can often be transformed into an instance of the other, by…

机器学习 · 计算机科学 2015-01-23 Diederik P. Kingma , Max Welling

It has historically been a challenge to perform Bayesian inference in a design-based survey context. The present paper develops a Bayesian model for sampling inference in the presence of inverse-probability weights. We use a hierarchical…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Natesh S. Pillai , Andrew Gelman

The remarkable generalization performance of large-scale models has been challenging the conventional wisdom of the statistical learning theory. Although recent theoretical studies have shed light on this behavior in linear models and…

机器学习 · 统计学 2024-06-18 Tomoya Wakayama

Compared to point estimates calculated by standard neural networks, Bayesian neural networks (BNN) provide probability distributions over the output predictions and model parameters, i.e., the weights. Training the weight distribution of a…

机器学习 · 计算机科学 2022-12-01 Philipp Wagner , Xinyang Wu , Marco F. Huber

We provide a new flexible framework for inference with the instrumental variable model. Rather than using linear specifications, functions characterizing the effects of instruments and other explanatory variables are estimated using machine…

机器学习 · 统计学 2021-02-03 Robert E. McCulloch , Rodney A. Sparapani , Brent R. Logan , Purushottam W. Laud

We establish a general form of explicit, input-dependent, measure-valued warpings for learning nonstationary kernels. While stationary kernels are ubiquitous and simple to use, they struggle to adapt to functions that vary in smoothness…

机器学习 · 计算机科学 2020-10-12 Anthony Tompkins , Rafael Oliveira , Fabio Ramos

Artificial neural networks (NNs) have become the de facto standard in machine learning. They allow learning highly nonlinear transformations in a plethora of applications. However, NNs usually only provide point estimates without…

机器学习 · 统计学 2020-09-11 Marco F. Huber

The recently developed variational autoencoders (VAEs) have proved to be an effective confluence of the rich representational power of neural networks with Bayesian methods. However, most work on VAEs use a rather simple prior over the…

机器学习 · 计算机科学 2017-08-29 Prasoon Goyal , Zhiting Hu , Xiaodan Liang , Chenyu Wang , Eric Xing

Sequential neuronal activity underlies a wide range of processes in the brain. Neuroscientific evidence for neuronal sequences has been reported in domains as diverse as perception, motor control, speech, spatial navigation and memory.…

适应与自组织系统 · 物理学 2020-04-03 Sascha Frölich , Dimitrije Marković , Stefan J. Kiebel

Many of the tools available for robot learning were designed for Euclidean data. However, many applications in robotics involve manifold-valued data. A common example is orientation; this can be represented as a 3-by-3 rotation matrix or a…

机器人学 · 计算机科学 2024-05-15 P. C. Lopez-Custodio , K. Bharath , A. Kucukyilmaz , S. P. Preston

Causal inference in cue combination is to decide whether the cues have a single cause or multiple causes. Although the Bayesian causal inference model explains the problem of causal inference in cue combination successfully, how causal…

神经与进化计算 · 计算机科学 2015-09-04 Zhaofei Yu , Feng Chen , Jianwu Dong , Qionghai Dai

We develop a scalable multi-step Monte Carlo algorithm for inference under a large class of nonparametric Bayesian models for clustering and classification. Each step is "embarrassingly parallel" and can be implemented using the same Markov…

统计计算 · 统计学 2018-06-08 Yang Ni , Peter Müller , Maurice Diesendruck , Sinead Williamson , Yitan Zhu , Yuan Ji

Bayesian observer and actor models have provided normative explanations for many behavioral phenomena in perception, sensorimotor control, and other areas of cognitive science and neuroscience. They attribute behavioral variability and…

机器学习 · 计算机科学 2025-02-03 Dominik Straub , Tobias F. Niehues , Jan Peters , Constantin A. Rothkopf

When collaborating with an AI system, we need to assess when to trust its recommendations. If we mistakenly trust it in regions where it is likely to err, catastrophic failures may occur, hence the need for Bayesian approaches for…

人工智能 · 计算机科学 2021-02-23 Federico Cerutti , Lance M. Kaplan , Angelika Kimmig , Murat Sensoy

Neural networks (NN) have achieved state-of-the-art performance in various applications. Unfortunately in applications where training data is insufficient, they are often prone to overfitting. One effective way to alleviate this problem is…

机器学习 · 计算机科学 2016-11-03 Hao Wang , Xingjian Shi , Dit-Yan Yeung

Due to their great flexibility, nonparametric Bayes methods have proven to be a valuable tool for discovering complicated patterns in data. The term "nonparametric Bayes" suggests that these methods inherit model-free operating…

统计方法学 · 统计学 2013-04-15 Peter D. Hoff

A set of probabilistic predictions is well calibrated if the events that are predicted to occur with probability p do in fact occur about p fraction of the time. Well calibrated predictions are particularly important when machine learning…

机器学习 · 统计学 2014-01-14 Mahdi Pakdaman Naeini , Gregory F. Cooper , Milos Hauskrecht

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

机器学习 · 计算机科学 2019-04-03 Konstantin Posch , Jürgen Pilz

Humans can learn languages from remarkably little experience. Developing computational models that explain this ability has been a major challenge in cognitive science. Bayesian models that build in strong inductive biases - factors that…

计算与语言 · 计算机科学 2023-05-25 R. Thomas McCoy , Thomas L. Griffiths