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Ordinal data is omnipresent in almost all multiuser-generated feedback - questionnaires, preferences etc. This paper investigates modelling of ordinal data with Gaussian restricted Boltzmann machines (RBMs). In particular, we present the…

Machine Learning · Statistics 2014-08-04 Truyen Tran , Dinh Phung , Svetha Venkatesh

In image set classification, a considerable progress has been made by representing original image sets on Grassmann manifolds. In order to extend the advantages of the Euclidean based dimensionality reduction methods to the Grassmann…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Rui Wang , Xiao-Jun Wu , Kai-Xuan Chen , Josef Kittler

Restricted Boltzmann machines (RBMs) are powerful machine learning models, but learning and some kinds of inference in the model require sampling-based approximations, which, in classical digital computers, are implemented using expensive…

Machine Learning · Statistics 2014-10-27 Vincent Dumoulin , Ian J. Goodfellow , Aaron Courville , Yoshua Bengio

Machine Learning has been applied in a wide range of tasks throughout the last years, ranging from image classification to autonomous driving and natural language processing. Restricted Boltzmann Machine (RBM) has received recent attention…

Machine Learning · Computer Science 2021-01-05 Gustavo H. de Rosa , Mateus Roder , João P. Papa

Although Gaussian processes (GPs) with deep kernels have been successfully used for meta-learning in regression tasks, its uncertainty estimation performance can be poor. We propose a meta-learning method for calibrating deep kernel GPs for…

Machine Learning · Statistics 2023-12-14 Tomoharu Iwata , Atsutoshi Kumagai

As the complexity of learning tasks surges, modern machine learning encounters a new constrained learning paradigm characterized by more intricate and data-driven function constraints. Prominent applications include Neyman-Pearson…

Machine Learning · Computer Science 2023-08-22 Zhenwei Lin , Qi Deng

The restricted Boltzmann machine (RBM) is a neural network based on the Ising model, well known for its ability to learn probability distributions and stochastically generate new content. However, the high computational cost of Gibbs…

Optics · Physics 2026-03-13 Li Luo , Yisheng Fang , Wanyi Zhang , Zhichao Ruan

Restricted Boltzmann machines (RBMs) are endowed with the universal power of modeling (binary) joint distributions. Meanwhile, as a result of their confining network structure, training RBMs confronts less difficulties (compared with more…

Machine Learning · Computer Science 2015-10-22 Sai Zhang

We propose an algorithm for optimizing the parameters of single hidden layer neural networks. Specifically, we derive a blockwise difference-of-convex (DC) functions representation of the objective function. Based on the latter, we propose…

Machine Learning · Computer Science 2024-01-17 Daniel Tschernutter , Mathias Kraus , Stefan Feuerriegel

The Restricted Boltzmann Machine (RBM) is a stochastic neural network capable of solving a variety of difficult tasks such as NP-Hard combinatorial optimization problems and integer factorization. The RBM architecture is also very compact;…

Machine Learning · Computer Science 2020-10-15 Saavan Patel , Philip Canoza , Sayeef Salahuddin

The task of approximating an arbitrary convex function arises in several learning problems such as convex regression, learning with a difference of convex (DC) functions, and learning Bregman or $f$-divergences. In this paper, we develop…

Many applications in speech, robotics, finance, and biology deal with sequential data, where ordering matters and recurrent structures are common. However, this structure cannot be easily captured by standard kernel functions. To model such…

Machine Learning · Computer Science 2017-10-06 Maruan Al-Shedivat , Andrew Gordon Wilson , Yunus Saatchi , Zhiting Hu , Eric P. Xing

This paper describes a novel energy-based probabilistic distribution that represents complex-valued data and explains how to apply it to direct feature extraction from complex-valued spectra. The proposed model, the complex-valued…

Audio and Speech Processing · Electrical Eng. & Systems 2018-03-28 Toru Nakashika , Shinji Takaki , Junichi Yamagishi

Distributions of data or sensory stimuli often enjoy underlying invariances. How and to what extent those symmetries are captured by unsupervised learning methods is a relevant question in machine learning and in computational neuroscience.…

Disordered Systems and Neural Networks · Physics 2020-06-24 Moshir Harsh , Jérôme Tubiana , Simona Cocco , Remi Monasson

The Boltzmann Machine (BM) is a neural network composed of stochastically firing neurons that can learn complex probability distributions by adapting the synaptic interactions between the neurons. BMs represent a very generic class of…

Mesoscale and Nanoscale Physics · Physics 2021-09-16 Brian Kiraly , Elze J. Knol , Hilbert J. Kappen , Alexander A. Khajetoorians

A specific type of neural network, the Restricted Boltzmann Machine (RBM), is implemented for classification and feature detection in machine learning. RBM is characterized by separate layers of visible and hidden units, which are able to…

Disordered Systems and Neural Networks · Physics 2012-01-11 Adriano Barra , Alberto Bernacchia , Enrica Santucci , Pierluigi Contucci

Contrastive Divergence (CD) and Persistent Contrastive Divergence (PCD) are popular methods for training the weights of Restricted Boltzmann Machines. However, both methods use an approximate method for sampling from the model distribution.…

Neural and Evolutionary Computing · Computer Science 2014-02-17 Mathias Berglund , Tapani Raiko

Understanding the results of deep neural networks is an essential step towards wider acceptance of deep learning algorithms. Many approaches address the issue of interpreting artificial neural networks, but often provide divergent…

Machine Learning · Computer Science 2021-11-16 Vadim Borisov , Johannes Meier , Johan van den Heuvel , Hamed Jalali , Gjergji Kasneci

Training 1-bit deep convolutional neural networks (DCNNs) is one of the most challenging problems in computer vision, because it is much easier to get trapped into local minima than conventional DCNNs. The reason lies in that the binarized…

Computer Vision and Pattern Recognition · Computer Science 2020-02-03 Chunlei Liu , Wenrui Ding , Yuan Hu , Baochang Zhang , Jianzhuang Liu , Guodong Guo

Restricted Boltzmann machines~(RBMs) and conditional RBMs~(CRBMs) are popular models for a wide range of applications. In previous work, learning on such models has been dominated by contrastive divergence~(CD) and its variants. Belief…

Machine Learning · Computer Science 2017-03-06 Wei Ping , Alexander Ihler
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