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Graphical models are powerful tools for modeling high-dimensional data, but learning graphical models in the presence of latent variables is well-known to be difficult. In this work we give new results for learning Restricted Boltzmann…

机器学习 · 计算机科学 2020-07-28 Surbhi Goel , Adam Klivans , Frederic Koehler

Binarized neural networks, or BNNs, show great promise in edge-side applications with resource limited hardware, but raise the concerns of reduced accuracy. Motivated by the complex neural networks, in this paper we introduce complex…

神经与进化计算 · 计算机科学 2021-04-21 Yanfei Li , Tong Geng , Ang Li , Huimin Yu

Robust optimization has been established as a leading methodology to approach decision problems under uncertainty. To derive a robust optimization model, a central ingredient is to identify a suitable model for uncertainty, which is called…

最优化与控制 · 数学 2021-09-10 Marc Goerigk , Jannis Kurtz

The popularity of algorithms based on Extreme Learning Machine (ELM), which can be used to train Single Layer Feedforward Neural Networks (SLFN), has increased in the past years. They have been successfully applied to a wide range of…

Constrained reinforcement learning is to maximize the expected reward subject to constraints on utilities/costs. However, the training environment may not be the same as the test one, due to, e.g., modeling error, adversarial attack,…

机器学习 · 计算机科学 2022-09-16 Yue Wang , Fei Miao , Shaofeng Zou

Bayesian neural networks (BNNs) demonstrate promising success in improving the robustness and uncertainty quantification of modern deep learning. However, they generally struggle with underfitting at scale and parameter efficiency. On the…

In this work, we investigate Batch Normalization technique and propose its probabilistic interpretation. We propose a probabilistic model and show that Batch Normalization maximazes the lower bound of its marginalized log-likelihood. Then,…

机器学习 · 统计学 2018-03-22 Andrei Atanov , Arsenii Ashukha , Dmitry Molchanov , Kirill Neklyudov , Dmitry Vetrov

Estimation of Distribution Algorithms (EDAs) require flexible probability models that can be efficiently learned and sampled. Deep Boltzmann Machines (DBMs) are generative neural networks with these desired properties. We integrate a DBM…

神经与进化计算 · 计算机科学 2016-08-09 Malte Probst , Franz Rothlauf

The deep extension of the restricted Boltzmann machine (RBM), known as the deep Boltzmann machine (DBM), is an expressive family of machine learning models which can serve as compact representations of complex probability distributions.…

机器学习 · 计算机科学 2021-02-18 Haik Manukian , Massimiliano Di Ventra

Neural networks (NNs) lack measures of "reliability" estimation that would enable reasoning over their predictions. Despite the vital importance, especially in areas of human well-being and health, state-of-the-art uncertainty estimation…

机器学习 · 计算机科学 2021-02-12 Lorena Qendro , Jagmohan Chauhan , Alberto Gil C. P. Ramos , Cecilia Mascolo

This study develops an unsupervised learning algorithm for products of expert capsules with dynamic routing. Analogous to binary-valued neurons in Restricted Boltzmann Machines, the magnitude of a squashed capsule firing takes values…

机器学习 · 计算机科学 2019-07-29 Michael Hauser

Modern neural networks tend to be overconfident on unseen, noisy or incorrectly labelled data and do not produce meaningful uncertainty measures. Bayesian deep learning aims to address this shortcoming with variational approximations (such…

机器学习 · 统计学 2018-05-28 Nick Pawlowski , Andrew Brock , Matthew C. H. Lee , Martin Rajchl , Ben Glocker

In this work, we propose an infinite restricted Boltzmann machine~(RBM), whose maximum likelihood estimation~(MLE) corresponds to a constrained convex optimization. We consider the Frank-Wolfe algorithm to solve the program, which provides…

机器学习 · 计算机科学 2017-10-17 Wei Ping , Qiang Liu , Alexander Ihler

Semi-supervised learning algorithms reduce the high cost of acquiring labeled training data by using both labeled and unlabeled data during learning. Deep Convolutional Networks (DCNs) have achieved great success in supervised tasks and as…

机器学习 · 统计学 2016-12-07 Tan Nguyen , Wanjia Liu , Ethan Perez , Richard G. Baraniuk , Ankit B. Patel

The deployment of AI models on low-power, real-time edge devices requires accelerators for which energy, latency, and area are all first-order concerns. There are many approaches to enabling deep neural networks (DNNs) in this domain,…

Binary Neural Networks (BNNs) have emerged as a promising solution for reducing the memory footprint and compute costs of deep neural networks, but they suffer from quality degradation due to the lack of freedom as activations and weights…

计算机视觉与模式识别 · 计算机科学 2023-10-20 Changhun Lee , Hyungjun Kim , Eunhyeok Park , Jae-Joon Kim

Domains where supervised models are deployed often come with task-specific constraints, such as prior expert knowledge on the ground-truth function, or desiderata like safety and fairness. We introduce a novel probabilistic framework for…

机器学习 · 计算机科学 2021-01-07 Wanqian Yang , Lars Lorch , Moritz A. Graule , Himabindu Lakkaraju , Finale Doshi-Velez

When randomized ensembles such as bagging or random forests are used for binary classification, the prediction error of the ensemble tends to decrease and stabilize as the number of classifiers increases. However, the precise relationship…

概率论 · 数学 2019-05-01 Miles E. Lopes

Restricted Boltzmann machines are undirected neural networks which have been shown to be effective in many applications, including serving as initializations for training deep multi-layer neural networks. One of the main reasons for their…

无序系统与神经网络 · 物理学 2016-02-11 Marylou Gabrié , Eric W. Tramel , Florent Krzakala

We introduce a new approach to probabilistic unsupervised learning based on the recognition-parametrised model (RPM): a normalised semi-parametric hypothesis class for joint distributions over observed and latent variables. Under the key…

机器学习 · 计算机科学 2023-04-21 William I. Walker , Hugo Soulat , Changmin Yu , Maneesh Sahani