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We suggest how to construct joint confidence distributions for several parameters and apply these ideas to an autoregressive process of general order. The implied non informative prior for the parameters, i.e. the ratio between the…

统计方法学 · 统计学 2025-03-11 Rolf Larsson

Uncertainty quantification is central to many applications of causal machine learning, yet principled Bayesian inference for causal effects remains challenging. Standard Bayesian approaches typically require specifying a probabilistic model…

机器学习 · 统计学 2026-03-04 Emil Javurek , Dennis Frauen , Yuxin Wang , Stefan Feuerriegel

Category imbalance is one of the most popular and important issues in the domain of classification. Emotion classification model trained on imbalanced datasets easily leads to unreliable prediction. The traditional machine learning method…

计算机视觉与模式识别 · 计算机科学 2025-01-27 Lu Jiang , Qi Wang , Yuhang Chang , Jianing Song , Haoyue Fu , Xiaochun Yang

Neural networks (NNs) are primarily developed within the frequentist statistical framework. Nevertheless, frequentist NNs lack the capability to provide uncertainties in the predictions, and hence their robustness can not be adequately…

计算工程、金融与科学 · 计算机科学 2023-10-26 Nastaran Dabiran , Brandon Robinson , Rimple Sandhu , Mohammad Khalil , Dominique Poirel , Abhijit Sarkar

Bayesian regression determines model parameters by minimizing the expected loss, an upper bound to the true generalization error. However, the loss ignores misspecification, where models are imperfect. Parameter uncertainties from Bayesian…

机器学习 · 统计学 2024-11-07 Thomas D Swinburne , Danny Perez

Scientists continue to develop increasingly complex mechanistic models to reflect their knowledge more realistically. Statistical inference using these models can be challenging since the corresponding likelihood function is often…

统计计算 · 统计学 2026-01-07 Joshua J Bon , David J Warne , David J Nott , Christopher Drovandi

Machine learning practitioners frequently observe tension between predictive accuracy and group fairness constraints -- yet sometimes fairness interventions appear to improve accuracy. We show that both phenomena can be artifacts of…

机器学习 · 计算机科学 2026-02-06 Amir Asiaee , Kaveh Aryan

Bayesian Neural Networks (BNN) have emerged as a crucial approach for interpreting ML predictions. By sampling from the posterior distribution, data scientists may estimate the uncertainty of an inference. Unfortunately many inference…

机器学习 · 计算机科学 2023-11-23 Thomas D. Ahle , Sahar Karimi , Peter Tak Peter Tang

We consider the prediction of weak effects in a multiple-output regression setup, when covariates are expected to explain a small amount, less than $\approx 1%$, of the variance of the target variables. To facilitate the prediction of the…

Human feedback is increasingly used across diverse applications like training AI models, developing recommender systems, and measuring public opinion -- with granular feedback often being preferred over binary feedback for its greater…

机器学习 · 计算机科学 2025-07-17 Anmol Kagrecha , Henrik Marklund , Potsawee Manakul , Richard Zeckhauser , Benjamin Van Roy

Unsupervised neural grammar induction aims to learn interpretable hierarchical structures from language data. However, existing models face an expressiveness bottleneck, often resulting in unnecessarily large yet underperforming grammars.…

计算与语言 · 计算机科学 2025-09-26 Jinwook Park , Kangil Kim

Modeled along the truncated approach in Panigrahi (2016), selection-adjusted inference in a Bayesian regime is based on a selective posterior. Such a posterior is determined together by a generative model imposed on data and the selection…

统计方法学 · 统计学 2017-09-12 Snigdha Panigrahi , Jonathan Taylor

Enhancing noisy speech is an important task to restore its quality and to improve its intelligibility. In traditional non-machine-learning (ML) based approaches the parameters required for noise reduction are estimated blindly from the…

声音 · 计算机科学 2018-01-16 Robert Rehr , Timo Gerkmann

In this work, we propose a new criterion for choosing the regularization parameter in Tikhonov regularization when the noise is white Gaussian. The criterion minimizes a lower bound of the predictive risk, when both data norm and noise…

数值分析 · 数学 2020-06-24 Federico Benvenuto , Bangti Jin

There are many settings where researchers are interested in estimating average treatment effects and are willing to rely on the unconfoundedness assumption, which requires that the treatment assignment be as good as random conditional on…

统计方法学 · 统计学 2018-02-02 Susan Athey , Guido W. Imbens , Stefan Wager

When developing risk prediction models, shrinkage methods are recommended, especially when the sample size is limited. Several earlier studies have shown that the shrinkage of model coefficients can reduce overfitting of the prediction…

统计方法学 · 统计学 2019-07-29 Ben Van Calster , Maarten van Smeden , Ewout W. Steyerberg

In inverse problems, it is widely recognized that the incorporation of a sparsity prior yields a regularization effect on the solution. This approach is grounded on the a priori assumption that the unknown can be appropriately represented…

机器学习 · 统计学 2025-06-13 Giovanni S. Alberti , Luca Ratti , Matteo Santacesaria , Silvia Sciutto

The information bottleneck framework provides a systematic approach to learning representations that compress nuisance information in the input and extract semantically meaningful information about predictions. However, the choice of a…

Prior probability models are a fundamental component of many image processing problems, but density estimation is notoriously difficult for high-dimensional signals such as photographic images. Deep neural networks have provided…

计算机视觉与模式识别 · 计算机科学 2024-11-05 Zahra Kadkhodaie , Eero P. Simoncelli

Linear regression with the classical normality assumption for the error distribution may lead to an undesirable posterior inference of regression coefficients due to the potential outliers. This paper considers the finite mixture of two…

统计方法学 · 统计学 2021-01-12 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa