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The digital telecommunications receiver is an important context for inference methodology, the key objective being to minimize the expected loss function in recovering the transmitted information. For that criterion, the optimal decision is…

信息论 · 计算机科学 2018-11-07 Viet Hung Tran

Variational Bayesian (VB) methods produce posterior inference in a time frame considerably smaller than traditional Markov Chain Monte Carlo approaches. Although the VB posterior is an approximation, it has been shown to produce good…

统计计算 · 统计学 2019-08-02 Nathaniel Tomasetti , Catherine S. Forbes , Anastasios Panagiotelis

Energy-based latent variable models (EBLVMs) are more expressive than conventional energy-based models. However, its potential on visual tasks are limited by its training process based on maximum likelihood estimate that requires sampling…

计算机视觉与模式识别 · 计算机科学 2022-03-29 Ge Kan , Jinhu Lü , Tian Wang , Baochang Zhang , Aichun Zhu , Lei Huang , Guodong Guo , Hichem Snoussi

Bayesian approaches to clinical analyses for the purposes of patient phenotyping have been limited by the computational challenges associated with applying the Markov-Chain Monte-Carlo (MCMC) approach to large real-world data. Approximate…

应用统计 · 统计学 2023-03-27 Brian Buckley , Adrian O'Hagan , Marie Galligan

Variable selection in linear regression has been a central topic in statistical research for decades. Bayesian variable selection methods, which account for uncertainty in both the regression coefficients and the noise variance, have…

统计方法学 · 统计学 2026-04-24 Leo L Duan

Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

机器学习 · 计算机科学 2015-06-16 Siqi Nie , Qiang Ji

As a statistical tool to assist formative assessments in educational settings, diagnostic classification models (DCMs) have been increasingly used to provide diagnostic information regarding examinees' attributes. DCMs often adopt a…

统计计算 · 统计学 2022-08-24 Motonori Oka , Shun Saso , Kensuke Okada

Despite recent advances, sampling-based inference for Bayesian Neural Networks (BNNs) remains a significant challenge in probabilistic deep learning. While sampling-based approaches do not require a variational distribution assumption,…

机器学习 · 计算机科学 2025-02-11 Emanuel Sommer , Jakob Robnik , Giorgi Nozadze , Uros Seljak , David Rügamer

Bayesian Neural Networks (BNNs) have been proposed to address the problem of model uncertainty in training and inference. By introducing weights associated with conditioned probability distributions, BNNs are capable of resolving the…

机器学习 · 计算机科学 2018-02-06 Ruizhe Cai , Ao Ren , Ning Liu , Caiwen Ding , Luhao Wang , Xuehai Qian , Massoud Pedram , Yanzhi Wang

Human migration exhibits complex spatiotemporal dependence driven by environmental and socioeconomic forces. Modeling such patterns at scale requires methods that accommodate many random effects while remaining feasible when raw data or…

统计方法学 · 统计学 2026-05-29 Lida Chalangar Jalili Dehkharghani , Li-Hsiang Lin

We introduce Deep Variational Bayes Filters (DVBF), a new method for unsupervised learning and identification of latent Markovian state space models. Leveraging recent advances in Stochastic Gradient Variational Bayes, DVBF can overcome…

机器学习 · 统计学 2017-03-06 Maximilian Karl , Maximilian Soelch , Justin Bayer , Patrick van der Smagt

The finite invert Beta-Liouville mixture model (IBLMM) has recently gained some attention due to its positive data modeling capability. Under the conventional variational inference (VI) framework, the analytically tractable solution to the…

机器学习 · 计算机科学 2021-12-30 Yongfa Ling , Wenbo Guan , Qiang Ruan , Heping Song , Yuping Lai

The quantile varying coefficient (VC) model can flexibly capture dynamical patterns of regression coefficients. In addition, due to the quantile check loss function, it is robust against outliers and heavy-tailed distributions of the…

统计方法学 · 统计学 2023-07-11 Fei Zhou , Jie Ren , Shuangge Ma , Cen Wu

Variational Bayesian inference is an important machine-learning tool that finds application from statistics to robotics. The goal is to find an approximate probability density function (PDF) from a chosen family that is in some sense…

机器学习 · 计算机科学 2022-09-27 Timothy D. Barfoot , Gabriele M. T. D'Eleuterio

Computer models play a crucial role in numerous scientific and engineering domains. To ensure the accuracy of simulations, it is essential to properly calibrate the input parameters of these models through statistical inference. While…

应用统计 · 统计学 2024-03-07 Dongkyu Derek Cho , Won Chang , Jaewoo Park

Many problems of low-level computer vision and image processing, such as denoising, deconvolution, tomographic reconstruction or super-resolution, can be addressed by maximizing the posterior distribution of a sparse linear model (SLM). We…

机器学习 · 统计学 2010-08-16 Matthias W. Seeger , Hannes Nickisch

The learning and evaluation of energy-based latent variable models (EBLVMs) without any structural assumptions are highly challenging, because the true posteriors and the partition functions in such models are generally intractable. This…

机器学习 · 计算机科学 2021-06-08 Fan Bao , Kun Xu , Chongxuan Li , Lanqing Hong , Jun Zhu , Bo Zhang

Sparse support vector machine (SVM) is a popular classification technique that can simultaneously learn a small set of the most interpretable features and identify the support vectors. It has achieved great successes in many real-world…

机器学习 · 统计学 2019-07-19 Weizhong Zhang , Bin Hong , Wei Liu , Jieping Ye , Deng Cai , Xiaofei He , Jie Wang

Current methods for learning graphical models with latent variables and a fixed structure estimate optimal values for the model parameters. Whereas this approach usually produces overfitting and suboptimal generalization performance,…

机器学习 · 计算机科学 2013-01-30 Hagai Attias

The success of any machine learning system depends critically on effective representations of data. In many cases, it is desirable that a representation scheme uncovers the parts-based, additive nature of the data. Of current representation…

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