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When humans infer underlying probabilities from stochastic observations, they exhibit biases and variability that cannot be explained on the basis of sound, Bayesian manipulations of probability. This is especially salient when beliefs are…

神经元与认知 · 定量生物学 2021-07-08 Arthur Prat-Carrabin , Florent Meyniel , Misha Tsodyks , Rava Azeredo da Silveira

Machine learning (ML) systems are increasingly deployed in high-stakes domains where reliability is paramount. This thesis investigates how uncertainty estimation can enhance the safety and trustworthiness of ML, focusing on selective…

机器学习 · 计算机科学 2025-09-09 Stephan Rabanser

A simple approach to obtaining uncertainty-aware neural networks for regression is to do Bayesian linear regression (BLR) on the representation from the last hidden layer. Recent work [Riquelme et al., 2018, Azizzadenesheli et al., 2018]…

机器学习 · 计算机科学 2019-12-17 John Moberg , Lennart Svensson , Juliano Pinto , Henk Wymeersch

We propose a simple and effective method to estimate the uncertainty of closed-source deep neural network image classification models. Given a base image, our method creates multiple transformed versions and uses them to query the top-1…

计算机视觉与模式识别 · 计算机科学 2024-05-24 Konstantinos Pitas , Julyan Arbel

This paper studies the problem of recursively estimating the weighted adjacency matrix of a network out of a temporal sequence of binary-valued observations. The observation sequence is generated from nonlinear networked dynamics in which…

系统与控制 · 电气工程与系统科学 2019-12-06 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

This paper addresses the challenge of model uncertainty in quantitative finance, where decisions in portfolio allocation, derivative pricing, and risk management rely on estimating stochastic models from limited data. In practice, the…

计算金融 · 定量金融 2025-06-10 Hans Buehler , Blanka Horvath , Yannick Limmer , Thorsten Schmidt

This paper is a continuation of Ishitani and Kato (2015), in which we derived a continuous-time value function corresponding to an optimal execution problem with uncertain market impact as the limit of a discrete-time value function. Here,…

交易与市场微观结构 · 定量金融 2015-11-10 Kensuke Ishitani , Takashi Kato

We study the fundamental problem of fixed design {\em multidimensional segmented regression}: Given noisy samples from a function $f$, promised to be piecewise linear on an unknown set of $k$ rectangles, we want to recover $f$ up to a…

数据结构与算法 · 计算机科学 2020-03-26 Ilias Diakonikolas , Jerry Li , Anastasia Voloshinov

We introduce an unsupervised formulation to estimate heteroscedastic uncertainty in retrieval systems. We propose an extension to triplet loss that models data uncertainty for each input. Besides improving performance, our formulation…

计算机视觉与模式识别 · 计算机科学 2019-02-08 Ahmed Taha , Yi-Ting Chen , Teruhisa Misu , Abhinav Shrivastava , Larry Davis

In this paper, we consider the uncertainty quantification problem for regression models. Specifically, we consider an individual calibration objective for characterizing the quantiles of the prediction model. While such an objective is…

机器学习 · 计算机科学 2023-10-27 Shang Liu , Zhongze Cai , Xiaocheng Li

A general framework with a series of different methods is proposed to improve the estimate of convex function (or functional) values when only noisy observations of the true input are available. Technically, our methods catch the bias…

统计方法学 · 统计学 2022-09-15 Chao Ma , Lexing Ying

We propose a computational framework to quantify (measure) and to optimize the reliability of complex systems. The approach uses a graph representation of the system that is subject to random failures of its components (nodes and edges).…

最优化与控制 · 数学 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

In several applications of automatic diagnosis and active learning a central problem is the evaluation of a discrete function by adaptively querying the values of its variables until the values read uniquely determine the value of the…

数据结构与算法 · 计算机科学 2014-07-29 Ferdinando Cicalese , Eduardo Laber , Aline Medeiros Saettler

Motivated by value function estimation in reinforcement learning, we study statistical linear inverse problems, i.e., problems where the coefficients of a linear system to be solved are observed in noise. We consider penalized estimators,…

机器学习 · 计算机科学 2012-07-03 Bernardo Avila Pires , Csaba Szepesvari

We study regression using functional predictors in situations where these functions contain both phase and amplitude variability. In other words, the functions are misaligned due to errors in time measurements, and these errors can…

应用统计 · 统计学 2019-04-26 J. Derek Tucker , John Lewis , Anuj Srivastava

In safety-critical applications like medical diagnosis, certainty associated with a model's prediction is just as important as its accuracy. Consequently, uncertainty estimation and reduction play a crucial role. Uncertainty in predictions…

图像与视频处理 · 电气工程与系统科学 2023-09-12 Abhishek Singh Sambyal , Narayanan C. Krishnan , Deepti R. Bathula

Evaluation of per-sample uncertainty quantification from neural networks is essential for decision-making involving high-risk applications. A common approach is to use the predictive distribution from Bayesian or approximation models and…

机器学习 · 计算机科学 2025-09-12 H. Martin Gillis , Isaac Xu , Thomas Trappenberg

We focus on estimating the integrated covariance of log-price processes in the presence of market microstructure noise. We construct an efficient unbiased estimator for the quadratic covariation of two It\^{o} processes in the case where…

统计理论 · 数学 2008-12-19 Markus Bibinger

A key problem in the theory of meta-learning is to understand how the task distributions influence transfer risk, the expected error of a meta-learner on a new task drawn from the unknown task distribution. In this paper, focusing on fixed…

机器学习 · 统计学 2021-06-15 Mikhail Konobeev , Ilja Kuzborskij , Csaba Szepesvári

Brittle optimization has been observed to adversely impact model likelihoods for regression and VAEs when simultaneously fitting neural network mappings from a (random) variable onto the mean and variance of a dependent Gaussian variable.…

机器学习 · 计算机科学 2020-11-02 Andrew Stirn , David A. Knowles