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This article concerns the dimension reduction in regression for large data set. We introduce a new method based on the sliced inverse regression approach, called cluster-based regularized sliced inverse regression. Our method not only keeps…

应用统计 · 统计学 2013-12-03 Yue Yu , Zhihong Chen , Jie Yang

Predictive modelling and supervised learning are central to modern data science. With predictions from an ever-expanding number of supervised black-box strategies - e.g., kernel methods, random forests, deep learning aka neural networks -…

机器学习 · 统计学 2019-05-08 Frithjof Gressmann , Franz J. Király , Bilal Mateen , Harald Oberhauser

Knowing the uncertainty in a prediction is critical when making expensive investment decisions and when patient safety is paramount, but machine learning (ML) models in drug discovery typically provide only a single best estimate and ignore…

机器学习 · 计算机科学 2021-06-03 Stanley E. Lazic , Dominic P. Williams

Uncertainty is an essential consideration for time series forecasting tasks. In this work, we specifically focus on quantifying the uncertainty of traffic forecasting. To achieve this, we develop Deep Spatio-Temporal Uncertainty…

机器学习 · 计算机科学 2022-08-12 Weizhu Qian , Dalin Zhang , Yan Zhao , Kai Zheng , James J. Q. Yu

Ordinal user-provided ratings across multiple items are frequently encountered in both scientific and commercial applications. Whilst recommender systems are known to do well on these type of data from a predictive point of view, their…

统计方法学 · 统计学 2025-03-05 Sjoerd Hermes

Interpretability is often pointed out as a key requirement for trustworthy machine learning. However, learning and releasing models that are inherently interpretable leaks information regarding the underlying training data. As such…

人工智能 · 计算机科学 2024-04-04 Julien Ferry , Ulrich Aïvodji , Sébastien Gambs , Marie-José Huguet , Mohamed Siala

We consider an unknown multivariate function representing a system-such as a complex numerical simulator-taking both deterministic and uncertain inputs. Our objective is to estimate the set of deterministic inputs leading to outputs whose…

Probabilistic extensions of logic programming languages, such as ProbLog, integrate logical reasoning with probabilistic inference to evaluate probabilities of output relations; however, prior work does not account for potential statistical…

编程语言 · 计算机科学 2025-08-22 Jingbo Wang , Shashin Halalingaiah , Weiyi Chen , Chao Wang , Isil Dillig

Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive, a straightforward regression analysis by…

应用统计 · 统计学 2009-01-26 Dorin Drignei , Chris E. Forest , Doug Nychka

Uncertainty quantification (UQ) is an important component of molecular property prediction, particularly for drug discovery applications where model predictions direct experimental design and where unanticipated imprecision wastes valuable…

机器学习 · 计算机科学 2020-05-21 Lior Hirschfeld , Kyle Swanson , Kevin Yang , Regina Barzilay , Connor W. Coley

In this paper, we present an uncertainty-aware INVASE to quantify predictive confidence of healthcare problem. By introducing learnable Gaussian distributions, we lever-age their variances to measure the degree of uncertainty. Based on the…

机器学习 · 计算机科学 2021-05-07 Jia-Xing Zhong , Hongbo Zhang

The finite sensitivity of instruments or detection methods means that data sets in many areas of astronomy, for example cosmological or exoplanet surveys, are necessarily systematically incomplete. Such data sets, where the population being…

天体物理仪器与方法 · 物理学 2020-10-14 Adam B. Mantz

As Internet-based commerce becomes increasingly widespread, large data sets about the demand for and pricing of a wide variety of products become available. These present exciting new opportunities for empirical economic and business…

统计理论 · 数学 2008-12-02 Anindya Ghose , Arun Sundararajan

High-confidence overlap prediction and accurate correspondences are critical for cutting-edge models to align paired point clouds in a partial-to-partial manner. However, there inherently exists uncertainty between the overlapping and…

计算机视觉与模式识别 · 计算机科学 2022-09-02 Zhilei Chen , Honghua Chen , Lina Gong , Xuefeng Yan , Jun Wang , Yanwen Guo , Jing Qin , Mingqiang Wei

The theory of influence and sharp threshold is a key tool in probability and probabilistic combinatorics, with numerous applications. One significant aspect of the theory is directed at identifying the level of generality of the product…

概率论 · 数学 2015-04-27 Geoffrey Grimmett , Svante Janson , James Norris

This paper introduces CUQIpy, a versatile open-source Python package for computational uncertainty quantification (UQ) in inverse problems, presented as Part I of a two-part series. CUQIpy employs a Bayesian framework, integrating prior…

Uncertainty estimation, which provides a means of building explainable neural networks for medical imaging applications, have mostly been studied for single deep learning models that focus on a specific task. In this paper, we propose a…

计算机视觉与模式识别 · 计算机科学 2023-10-02 Leonhard F. Feiner , Martin J. Menten , Kerstin Hammernik , Paul Hager , Wenqi Huang , Daniel Rueckert , Rickmer F. Braren , Georgios Kaissis

An important problem in econometrics and marketing is to infer the causal impact that a designed market intervention has exerted on an outcome metric over time. This paper proposes to infer causal impact on the basis of a…

应用统计 · 统计学 2015-06-02 Kay H. Brodersen , Fabian Gallusser , Jim Koehler , Nicolas Remy , Steven L. Scott

Sliced inverse regression is one of the most popular sufficient dimension reduction methods. Originally, it was designed for independent and identically distributed data and recently extend to the case of serially and spatially dependent…

统计方法学 · 统计学 2021-07-07 Christoph Muehlmann , Hannu Oja , Klaus Nordhausen

Probability forecasts are intended to account for the uncertainties inherent in forecasting. It is suggested that from an end-user's point of view probability is not necessarily sufficient to reflect uncertainties that are not simply the…

统计理论 · 数学 2015-01-22 Kevin Judd