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Semi-supervised learning by self-training heavily relies on pseudo-label selection (PLS). The selection often depends on the initial model fit on labeled data. Early overfitting might thus be propagated to the final model by selecting…

Machine Learning · Statistics 2023-06-27 Julian Rodemann , Jann Goschenhofer , Emilio Dorigatti , Thomas Nagler , Thomas Augustin

Uncertainty quantification in PDE inverse problems is essential in many applications. Scientific machine learning and AI enable data-driven learning of model components while preserving physical structure, and provide the scalability and…

Machine Learning · Computer Science 2026-01-12 Ray Zirui Zhang , Christopher E. Miles , Xiaohui Xie , John S. Lowengrub

Mathematical solvers use parametrized Optimization Problems (OPs) as inputs to yield optimal decisions. In many real-world settings, some of these parameters are unknown or uncertain. Recent research focuses on predicting the value of these…

Machine Learning · Computer Science 2024-09-10 Alan A. Lahoud , Erik Schaffernicht , Johannes A. Stork

The steady-state Bayesian vector autoregression (BVAR) makes it possible to incorporate prior information about the long-run mean of the process. This has been shown in many studies to substantially improve forecasting performance, and the…

Computation · Statistics 2025-06-12 Oskar Gustafsson , Mattias Villani

Approximate Bayesian inference typically revolves around computing the posterior parameter distribution. In practice, however, the main object of interest is often a model's predictions rather than its parameters. In this work, we propose…

Machine Learning · Statistics 2026-05-29 Julian Rodemann , Alexander Marquard , Thomas Augustin , Michele Caprio

Last couple of years have witnessed a tremendous progress in self-supervised learning (SSL), the success of which can be attributed to the introduction of useful inductive biases in the learning process to learn meaningful visual…

Computer Vision and Pattern Recognition · Computer Science 2024-02-26 Abhishek Jha , Matthew B. Blaschko , Yuki M. Asano , Tinne Tuytelaars

Bootstrap is a widely used technique that allows estimating the properties of a given estimator, such as its bias and standard error. In this paper, we evaluate and compare five bootstrap-based methods for making confidence intervals: two…

The recognition network in deep latent variable models such as variational autoencoders (VAEs) relies on amortized inference for efficient posterior approximation that can scale up to large datasets. However, this technique has also been…

Machine Learning · Statistics 2019-02-28 Rui Shu , Hung H. Bui , Jay Whang , Stefano Ermon

In order to avoid the impact of hard samples on the training process of the Flying Bird Object Detection model (FBOD model, in our previous work, we designed the FBOD model according to the characteristics of flying bird objects in…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Zi-Wei Sun , Ze-Xi hua , Heng-Chao Li , Yan Li

This paper presents an alternative approach to p-values in regression settings. This approach, whose origins can be traced to machine learning, is based on the leave-one-out bootstrap for prediction error. In machine learning this is called…

Machine Learning · Statistics 2017-02-22 Min Lu , Hemant Ishwaran

Self supervised learning (SSL) is a machine learning paradigm where models learn to understand the underlying structure of data without explicit supervision from labeled samples. The acquired representations from SSL have demonstrated…

Machine Learning · Computer Science 2025-12-11 Yunshan Duan , Sinead Williamson

We develop biologically plausible training mechanisms for self-supervised learning (SSL) in deep networks. Specifically, by biological plausible training we mean (i) All updates of weights are based on current activities of pre-synaptic…

Neural and Evolutionary Computing · Computer Science 2022-02-02 Mufeng Tang , Yibo Yang , Yali Amit

Variational Bayes (VB) has been used to facilitate the calculation of the posterior distribution in the context of Bayesian inference of the parameters of nonlinear models from data. Previously an analytical formulation of VB has been…

Signal Processing · Electrical Eng. & Systems 2020-07-06 Michael A. Chappell , Martin S. Craig , Mark W. Woolrich

Binwise Variance Scaling (BVS) has recently been proposed as a post hoc recalibration method for prediction uncertainties of machine learning regression problems that is able of more efficient corrections than uniform variance (or…

Machine Learning · Statistics 2023-10-25 Pascal Pernot

Bayesian predictive inference propagates parameter uncertainty to quantities of interest through the posterior-predictive distribution. In practice, this is typically performed using a two-stage procedure: first approximating the posterior…

Machine Learning · Statistics 2026-05-06 Nan Feng , Xun Huan

We introduce and study a novel model-selection strategy for Bayesian learning, based on optimal transport, along with its associated predictive posterior law: the Wasserstein population barycenter of the posterior law over models. We first…

Machine Learning · Statistics 2022-11-10 Julio Backhoff-Veraguas , Joaquin Fontbona , Gonzalo Rios , Felipe Tobar

Exploiting unlabeled data through semi-supervised learning (SSL) or leveraging pre-trained models via fine-tuning are two prevailing paradigms for addressing label-scarce scenarios. Recently, growing attention has been given to combining…

Machine Learning · Computer Science 2026-05-26 Rui Zhu , Song-Lin Lv , Zi-Kang Wang , Lan-Zhe Guo

This paper establishes the asymptotic consistency of the {\it loss-calibrated variational Bayes} (LCVB) method. LCVB was proposed in~\cite{LaSiGh2011} as a method for approximately computing Bayesian posteriors in a `loss aware' manner.…

Machine Learning · Statistics 2019-11-05 Prateek Jaiswal , Harsha Honnappa , Vinayak A. Rao

Active learning for classification seeks to reduce the cost of labeling samples by finding unlabeled examples about which the current model is least certain and sending them to an annotator/expert to label. Bayesian theory can provide a…

Cryptography and Security · Computer Science 2025-07-08 Ahmed Bensaoud , Jugal Kalita

Modern neural networks have proven to be powerful function approximators, providing state-of-the-art performance in a multitude of applications. They however fall short in their ability to quantify confidence in their predictions - this is…

Machine Learning · Statistics 2020-06-29 Alex J. Chan , Ahmed M. Alaa , Zhaozhi Qian , Mihaela van der Schaar