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Latent variable models for network data extract a summary of the relational structure underlying an observed network. The simplest possible models subdivide nodes of the network into clusters; the probability of a link between any two nodes…

机器学习 · 计算机科学 2012-07-03 Konstantina Palla , David Knowles , Zoubin Ghahramani

Regression models with both high-dimensional responses and covariates have attracted growing attention. Standard multivariate regression models become inadequate when the response variables depend not only on observed covariates but also on…

统计方法学 · 统计学 2026-05-01 Jing Ouyang , Chengyu Cui , Yunxiao Chen , Kean Ming Tan , Gongjun Xu

We derive and present explicit algorithms to facilitate streamlined computing for variational inference for models containing higher level random effects. Existing literature, such as Lee and Wand (2016), is such that streamlined…

统计计算 · 统计学 2020-07-07 Tui H. Nolan , Marianne Menictas , Matt P. Wand

Adaptive inference is a promising technique to improve the computational efficiency of deep models at test time. In contrast to static models which use the same computation graph for all instances, adaptive networks can dynamically adjust…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Hao Li , Hong Zhang , Xiaojuan Qi , Ruigang Yang , Gao Huang

We address the challenging problem of deep representation learning--the efficient adaption of a pre-trained deep network to different tasks. Specifically, we propose to explore gradient-based features. These features are gradients of the…

机器学习 · 计算机科学 2020-04-14 Fangzhou Mu , Yingyu Liang , Yin Li

Factors models are routinely used to analyze high-dimensional data in both single-study and multi-study settings. Bayesian inference for such models relies on Markov Chain Monte Carlo (MCMC) methods which scale poorly as the number of…

统计方法学 · 统计学 2025-04-29 Blake Hansen , Alejandra Avalos-Pacheco , Massimiliano Russo , Roberta De Vito

Generative modeling of high-dimensional data is a key problem in machine learning. Successful approaches include latent variable models and autoregressive models. The complementary strengths of these approaches, to model global and local…

计算机视觉与模式识别 · 计算机科学 2019-04-19 Thomas Lucas , Jakob Verbeek

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

机器学习 · 统计学 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

Bayesian methods have shown success in deep learning applications. For example, in predictive tasks, Bayesian neural networks leverage Bayesian reasoning of model uncertainty to improve the reliability and uncertainty awareness of deep…

机器学习 · 计算机科学 2025-10-21 Wenlong Chen , Bolian Li , Ruqi Zhang , Yingzhen Li

Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

机器学习 · 计算机科学 2024-10-16 Yuntian Gu , Xuzheng Chen

Balancing computational efficiency with robust predictive performance is crucial in supervised learning, especially for critical applications. Standard deep learning models, while accurate and scalable, often lack probabilistic features…

机器学习 · 计算机科学 2025-02-11 Conor Heins , Hao Wu , Dimitrije Markovic , Alexander Tschantz , Jeff Beck , Christopher Buckley

Neural networks trained with standard objectives exhibit behaviors characteristic of probabilistic inference: soft clustering, prototype specialization, and Bayesian uncertainty tracking. These phenomena appear across architectures -- in…

机器学习 · 计算机科学 2026-01-01 Alan Oursland

In this work, we aim to establish a Bayesian adaptive learning framework by focusing on estimating latent variables in deep neural network (DNN) models. Latent variables indeed encode both transferable distributional information and…

音频与语音处理 · 电气工程与系统科学 2024-01-26 Hu Hu , Sabato Marco Siniscalchi , Chin-Hui Lee

This paper develops a new framework, called modular regression, to utilize auxiliary information -- such as variables other than the original features or additional data sets -- in the training process of linear models. At a high level, our…

统计方法学 · 统计学 2023-11-27 Ying Jin , Dominik Rothenhäusler

We study the problem of learning latent variables in Gaussian graphical models. Existing methods for this problem assume that the precision matrix of the observed variables is the superposition of a sparse and a low-rank component. In this…

机器学习 · 统计学 2017-07-12 Mohammadreza Soltani , Chinmay Hegde

Multi-modal data-sets are ubiquitous in modern applications, and multi-modal Variational Autoencoders are a popular family of models that aim to learn a joint representation of the different modalities. However, existing approaches suffer…

机器学习 · 计算机科学 2023-12-19 Mustapha Bounoua , Giulio Franzese , Pietro Michiardi

When a hybrid Bayesian network has conditionally deterministic variables with continuous parents, the joint density function for the continuous variables does not exist. Conditional linear Gaussian distributions can handle such cases when…

人工智能 · 计算机科学 2012-07-09 Barry Cobb , Prakash P. Shenoy

High-dimensional multivariate longitudinal data, which arise when many outcome variables are measured repeatedly over time, are becoming increasingly common in social, behavioral and health sciences. We propose a latent variable model for…

统计方法学 · 统计学 2025-12-09 Sze Ming Lee , Yunxiao Chen , Tony Sit

Bayesian experimental design (BED) is to answer the question that how to choose designs that maximize the information gathering. For implicit models, where the likelihood is intractable but sampling is possible, conventional BED methods…

机器学习 · 计算机科学 2021-03-16 Jiaxin Zhang , Sirui Bi , Guannan Zhang

Latent force models are a class of hybrid models for dynamic systems, combining simple mechanistic models with flexible Gaussian process (GP) perturbations. An extension of this framework to include multiplicative interactions between the…

机器学习 · 统计学 2019-01-01 Daniel J. Tait , Bruce J. Worton