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The linear regression model with a random variable (RV) measurement matrix, where the mean of the random measurement matrix has full column rank, has been extensively studied. In particular, the quasiconvexity of the maximum likelihood…

信号处理 · 电气工程与系统科学 2025-07-16 Ruohai Guo , Jiang Zhu , Xing Jiang , Fengzhong Qu

Finite mixtures of regressions with fixed covariates are a commonly used model-based clustering methodology to deal with regression data. However, they assume assignment independence, i.e. the allocation of data points to the clusters is…

统计方法学 · 统计学 2021-04-27 Salvatore D. Tomarchio , Paul D. McNicholas , Antonio Punzo

Stochastic variational inference for collapsed models has recently been successfully applied to large scale topic modelling. In this paper, we propose a stochastic collapsed variational inference algorithm in the sequential data setting.…

机器学习 · 统计学 2015-12-08 Pengyu Wang , Phil Blunsom

The demand for reliable AI systems has intensified the need for interpretable deep neural networks. Concept bottleneck models (CBMs) have gained attention as an effective approach by leveraging human-understandable concepts to enhance…

计算机视觉与模式识别 · 计算机科学 2024-09-24 Sangwon Kim , Dasom Ahn , Byoung Chul Ko , In-su Jang , Kwang-Ju Kim

The concept bottleneck model (CBM), as a technique improving interpretability via linking predictions to human-understandable concepts, makes high-risk and life-critical medical image classification credible. Typically, existing CBM methods…

计算机视觉与模式识别 · 计算机科学 2025-06-17 Chunjiang Wang , Kun Zhang , Yandong Liu , Zhiyang He , Xiaodong Tao , S. Kevin Zhou

The information bottleneck (IB) approach is popular to improve the generalization, robustness and explainability of deep neural networks. Essentially, it aims to find a minimum sufficient representation $\mathbf{t}$ by striking a trade-off…

机器学习 · 计算机科学 2024-04-30 Shujian Yu , Xi Yu , Sigurd Løkse , Robert Jenssen , Jose C. Principe

Information Bottlenecks (IBs) learn representations that generalize to unseen data by information compression. However, existing IBs are practically unable to guarantee generalization in real-world scenarios due to the vacuous…

机器学习 · 计算机科学 2023-05-01 Yilin Lyu , Xin Liu , Mingyang Song , Xinyue Wang , Yaxin Peng , Tieyong Zeng , Liping Jing

Inverse problems involving partial differential equations (PDEs) are widely used in science and engineering. Although such problems are generally ill-posed, different regularisation approaches have been developed to ameliorate this problem.…

应用统计 · 统计学 2022-03-23 Jan Povala , Ieva Kazlauskaite , Eky Febrianto , Fehmi Cirak , Mark Girolami

Bayes' rule describes how to infer posterior beliefs about latent variables given observations, and inference is a critical step in learning algorithms for latent variable models (LVMs). Although there are exact algorithms for inference and…

机器学习 · 计算机科学 2025-09-22 Sacha Sokoloski

Content-based image retrieval (CBIR) systems have emerged as crucial tools in the field of computer vision, allowing for image search based on visual content rather than relying solely on metadata. This survey paper presents a comprehensive…

计算机视觉与模式识别 · 计算机科学 2023-12-19 Hamed Qazanfari , Mohammad M. AlyanNezhadi , Zohreh Nozari Khoshdaregi

Sequential latent-variable models with subject-specific random effects provide a flexible framework for modeling temporally structured data with both local latent dynamics and stable between-subject heterogeneity. In such models,…

统计方法学 · 统计学 2026-04-28 Xingche Guo

Invariant risk minimization (IRM) is an arising approach to generalize invariant features to different environments in machine learning. While most related works focus on new IRM settings or new application scenarios, the mathematical…

机器学习 · 计算机科学 2024-05-20 Zhao-Rong Lai , Weiwen Wang

Using a Bayesian approach, we consider the problem of recovering sparse signals under additive sparse and dense noise. Typically, sparse noise models outliers, impulse bursts or data loss. To handle sparse noise, existing methods…

机器学习 · 统计学 2015-01-13 Martin Sundin , Saikat Chatterjee , Magnus Jansson

The log-logistic regression model is one of the most commonly used accelerated failure time (AFT) models in survival analysis, for which statistical inference methods are mainly established under the frequentist framework. Recently,…

统计方法学 · 统计学 2023-10-11 Chengqian Xian , Camila P. E. de Souza , Wenqing He , Felipe F. Rodrigues , Renfang Tian

This paper presents studies on a deterministic annealing algorithm based on quantum annealing for variational Bayes (QAVB) inference, which can be seen as an extension of the simulated annealing for variational Bayes (SAVB) inference. QAVB…

机器学习 · 计算机科学 2014-08-12 Issei Sato , Kenichi Kurihara , Shu Tanaka , Hiroshi Nakagawa , Seiji Miyashita

This paper presents studies on a deterministic annealing algorithm based on quantum annealing for variational Bayes (QAVB) inference, which can be seen as an extension of the simulated annealing for variational Bayes (SAVB) inference. QAVB…

无序系统与神经网络 · 物理学 2009-05-28 Issei Sato , Kenichi Kurihara , Shu Tanaka , Hiroshi Nakagawa , Seiji Miyashita

In this paper we propose BVAR-connect, a variational inference approach to a Bayesian multi-subject vector autoregressive (VAR) model for inference on effective brain connectivity based on resting-state functional MRI data. The modeling…

Black-box variational inference (BBVI) scales poorly to high-dimensional problems when it is used to estimate a multivariate Gaussian approximation with a full covariance matrix. In this paper, we extend the batch-and-match (BaM) framework…

机器学习 · 统计学 2025-04-03 Chirag Modi , Diana Cai , Lawrence K. Saul

We present Sequential Neural Variational Inference (SNVI), an approach to perform Bayesian inference in models with intractable likelihoods. SNVI combines likelihood-estimation (or likelihood-ratio-estimation) with variational inference to…

机器学习 · 统计学 2022-10-20 Manuel Glöckler , Michael Deistler , Jakob H. Macke

The RRUM is a model that is frequently seen in language assessment studies. The objective of this research is to advance an MCMC algorithm for the Bayesian RRUM. The algorithm starts with estimating correlated attributes. Using a saturated…

应用统计 · 统计学 2017-10-25 Meng-Ta Chung , Matthew S. Johnson