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The Nonlinear Grey Bernoulli Model NGBM(1, 1) is a recently developed grey model which has various applications in different fields, mainly due to its accuracy in handling small time-series datasets with nonlinear variations. In this paper,…

应用统计 · 统计学 2020-08-19 Hoang Anh Ngo , Thai Nam HOANG

We compare and contrast the statistical physics and quantum physics inspired approaches for unsupervised generative modeling of classical data. The two approaches represent probabilities of observed data using energy-based models and…

数据分析、统计与概率 · 物理学 2018-08-08 Song Cheng , Jing Chen , Lei Wang

We developed an adaptive structure learning method of Restricted Boltzmann Machine (RBM) which can generate/annihilate neurons by self-organizing learning method according to input patterns. Moreover, the adaptive Deep Belief Network (DBN)…

神经与进化计算 · 计算机科学 2018-07-12 Shin Kamada , Takumi Ichimura

This paper introduces the distributionally robust random utility model (DRO-RUM), which allows the preference shock (unobserved heterogeneity) distribution to be misspecified or unknown. We make three contributions using tools from the…

理论经济学 · 经济学 2023-03-13 David Müller , Emerson Melo , Ruben Schlotter

The analysis of mixed data has been raising challenges in statistics and machine learning. One of two most prominent challenges is to develop new statistical techniques and methodologies to effectively handle mixed data by making the data…

机器学习 · 计算机科学 2017-08-21 Tu Dinh Nguyen , Truyen Tran , Dinh Phung , Svetha Venkatesh

This paper is a sequel of the 2019 paper [5]. It demonstrates the following: a) the Poisson multi-Bernoulli mixture (PMBM) approach to detected vs. undetected (U/D) targets cannot be rigorously formulated using either the two-step or…

统计方法学 · 统计学 2025-01-22 Ronald Mahler

Neural networks have been recently proposed as variational wave functions for quantum many-body systems [G. Carleo and M. Troyer, Science 355, 602 (2017)]. In this work, we focus on a specific architecture, known as Restricted Boltzmann…

强关联电子 · 物理学 2022-05-25 Luciano Loris Viteritti , Francesco Ferrari , Federico Becca

The stochastic block model (SBM) provides a popular framework for modeling community structures in networks. However, more attention has been devoted to problems concerning estimating the latent node labels and the model parameters than the…

统计理论 · 数学 2016-03-02 Y. X. Rachel Wang , Peter J. Bickel

Restricted Boltzman Machines (RBMs) have been successfully used in recommender systems. However, as with most of other collaborative filtering techniques, it cannot solve cold start problems for there is no rating for a new item. In this…

信息检索 · 计算机科学 2014-08-04 Jiankou Li , Wei Zhang

Bayesian nonparametric (BNP) models provide elegant methods for discovering underlying latent features within a data set, but inference in such models can be slow. We exploit the fact that completely random measures, which commonly used…

机器学习 · 统计学 2020-07-17 Avinava Dubey , Michael Minyi Zhang , Eric P. Xing , Sinead A. Williamson

Restricted Boltzmann Machines (RBMs) are general unsupervised learning devices to ascertain generative models of data distributions. RBMs are often trained using the Contrastive Divergence learning algorithm (CD), an approximation to the…

神经与进化计算 · 计算机科学 2015-07-27 E. Romero , F. Mazzanti , J. Delgado

Hopfield networks (HNs) and Restricted Boltzmann Machines (RBMs) are two important models at the interface of statistical physics, machine learning, and neuroscience. Recently, there has been interest in the relationship between HNs and…

机器学习 · 计算机科学 2021-03-09 Matthew Smart , Anton Zilman

A Bernoulli Mixture Model (BMM) is a finite mixture of random binary vectors with independent dimensions. The problem of clustering BMM data arises in a variety of real-world applications, ranging from population genetics to activity…

机器学习 · 计算机科学 2019-06-18 Amir Najafi , Abolfazl Motahari , Hamid R. Rabiee

Recently by the development of the Internet and the Web, different types of social media such as web blogs become an immense source of text data. Through the processing of these data, it is possible to discover practical information about…

计算与语言 · 计算机科学 2019-03-12 Masoud Fatemi , Mehran Safayani

Neural networks are the cornerstone of modern machine learning, yet can be difficult to interpret, give overconfident predictions and are vulnerable to adversarial attacks. Bayesian neural networks (BNNs) provide some alleviation of these…

机器学习 · 统计学 2026-02-24 August Arnstad , Leiv Rønneberg , Geir Storvik

We consider the estimation of Dirichlet Process Mixture Models (DPMMs) in distributed environments, where data are distributed across multiple computing nodes. A key advantage of Bayesian nonparametric models such as DPMMs is that they…

机器学习 · 统计学 2017-09-20 Ruohui Wang , Dahua Lin

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;…

机器学习 · 计算机科学 2020-10-15 Saavan Patel , Philip Canoza , Sayeef Salahuddin

In this work, we analyze the nonequilibrium thermodynamics of a class of neural networks known as Restricted Boltzmann Machines (RBMs) in the context of unsupervised learning. We show how the network is described as a discrete Markov…

统计力学 · 物理学 2017-08-23 Domingos S. P. Salazar

We leverage the Minimum Description Length (MDL) principle as a model selection technique for Bernoulli distributions and compare several types of MDL codes. We first present a simplistic crude two-part MDL code and a Normalized Maximum…

信息论 · 计算机科学 2016-10-04 Marc Boullé , Fabrice Clérot , Carine Hue

In this paper, we advance a recently-proposed uncertainty decoding scheme for DNN-HMM (deep neural network - hidden Markov model) hybrid systems. This numerical sampling concept averages DNN outputs produced by a finite set of feature…

机器学习 · 计算机科学 2016-09-08 Christian Huemmer , Ramón Fernández Astudillo , Walter Kellermann