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Estimating the ratio of two probability densities from a finite number of observations is a central machine learning problem. A common approach is to construct estimators using binary classifiers that distinguish observations from the two…

机器学习 · 计算机科学 2025-01-28 Werner Zellinger

The problem of modeling the relationship between univariate distributions and one or more explanatory variables has found increasing interest. Traditional functional data methods cannot be applied directly to distributional data because of…

统计方法学 · 统计学 2025-02-04 Yidong Zhou , Hans-Georg Müller

Uncertainty quantification in image retrieval is crucial for downstream decisions, yet it remains a challenging and largely unexplored problem. Current methods for estimating uncertainties are poorly calibrated, computationally expensive,…

计算机视觉与模式识别 · 计算机科学 2021-09-20 Frederik Warburg , Martin Jørgensen , Javier Civera , Søren Hauberg

When building a geometric scene understanding system for autonomous vehicles, it is crucial to know when the system might fail. Most contemporary approaches cast the problem as depth regression, whose output is a depth value for each pixel.…

计算机视觉与模式识别 · 计算机科学 2019-12-16 Gengshan Yang , Peiyun Hu , Deva Ramanan

We evaluate two different methods for the integration of prediction uncertainty into diagnostic image classifiers to increase patient safety in deep learning. In the first method, Monte Carlo sampling is applied with dropout at test time to…

图像与视频处理 · 电气工程与系统科学 2019-08-05 Max-Heinrich Laves , Sontje Ihler , Tobias Ortmaier

Graphs are playing a crucial role in different fields since they are powerful tools to unveil intrinsic relationships among signals. In many scenarios, an accurate graph structure representing signals is not available at all and that…

机器学习 · 计算机科学 2021-05-14 Xiang Zhang , Yinfei Xu , Qinghe Liu , Zhicheng Liu , Jian Lu , Qiao Wang

While deep neural networks are highly performant and successful in a wide range of real-world problems, estimating their predictive uncertainty remains a challenging task. To address this challenge, we propose and implement a loss function…

机器学习 · 计算机科学 2022-10-14 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

With the tremendous success of deep learning in visual tasks, the representations extracted from intermediate layers of learned models, that is, deep features, attract much attention of researchers. Previous empirical analysis shows that…

计算机视觉与模式识别 · 计算机科学 2020-03-31 Qi Qian , Juhua Hu , Hao Li

Though remarkable progress has been achieved in various vision tasks, deep neural networks still suffer obvious performance degradation when tested in out-of-distribution scenarios. We argue that the feature statistics (mean and standard…

计算机视觉与模式识别 · 计算机科学 2022-04-25 Xiaotong Li , Yongxing Dai , Yixiao Ge , Jun Liu , Ying Shan , Ling-Yu Duan

A simple method for adding uncertainty to neural network regression tasks via estimation of a general probability distribution is described. The methodology supports estimation of heteroscedastic, asymmetric uncertainties by a simple…

大气与海洋物理 · 物理学 2021-09-16 Elizabeth A. Barnes , Randal J. Barnes , Nicolas Gordillo

This article describes a multivariate polynomial regression method where the uncertainty of the input parameters are approximated with Gaussian distributions, derived from the central limit theorem for large weighted sums, directly from the…

机器学习 · 统计学 2013-10-04 Peter Kovesarki , Ian C. Brock

Robust estimation for modern portfolio selection on a large set of assets becomes more important due to large deviation of empirical inference on big data. We propose a distributionally robust methodology for high-dimensional mean-variance…

统计方法学 · 统计学 2024-09-12 Ruike Wu , Yanrong Yang , Han Lin Shang , Huanjun Zhu

Due to the growing adoption of deep neural networks in many fields of science and engineering, modeling and estimating their uncertainties has become of primary importance. Despite the growing literature about uncertainty quantification in…

机器学习 · 计算机科学 2023-02-15 Brian Staber , Sébastien Da Veiga

We propose a new optimization framework for aleatoric uncertainty estimation in regression problems. Existing methods can quantify the error in the target estimation, but they tend to underestimate it. To obtain the predictive uncertainty…

计算机视觉与模式识别 · 计算机科学 2021-03-12 Takumi Kawashima , Qing Yu , Akari Asai , Daiki Ikami , Kiyoharu Aizawa

In machine learning, accurately predicting the probability that a specific input is correct is crucial for risk management. This process, known as uncertainty (or confidence) estimation, is particularly important in mission-critical…

机器学习 · 计算机科学 2023-01-12 Gabriella Chouraqui , Liron Cohen , Gil Einziger , Liel Leman

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

机器学习 · 统计学 2025-12-22 Yuli Slavutsky , David M. Blei

Visual relocalization is the task of estimating the camera pose given an image it views. Absolute pose regression offers a solution to this task by training a neural network, directly regressing the camera pose from image features. While an…

计算机视觉与模式识别 · 计算机科学 2025-04-11 Fereidoon Zangeneh , Amit Dekel , Alessandro Pieropan , Patric Jensfelt

We address the problem of efficiently computing Wasserstein distances for multiple pairs of distributions drawn from a meta-distribution. To this end, we propose a fast estimation method based on regressing Wasserstein distance on sliced…

机器学习 · 统计学 2026-03-04 Khai Nguyen , Hai Nguyen , Nhat Ho

The Wasserstein distance has emerged as a key metric to quantify distances between probability distributions, with applications in various fields, including machine learning, control theory, decision theory, and biological systems.…

机器学习 · 计算机科学 2026-02-10 Eduardo Figueiredo , Steven Adams , Luca Laurenti

Effective decision making requires understanding the uncertainty inherent in a prediction. In regression, this uncertainty can be estimated by a variety of methods; however, many of these methods are laborious to tune, generate…

机器学习 · 统计学 2021-12-02 Tianhui Zhou , Yitong Li , Yuan Wu , David Carlson