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Ridge regression with random coefficients provides an important alternative to fixed coefficients regression in high dimensional setting when the effects are expected to be small but not zeros. This paper considers estimation and prediction…

Machine Learning · Statistics 2023-06-29 Hongzhe Zhang , Hongzhe Li

Estimation of extreme conditional quantiles is often required for risk assessment of natural hazards in climate and geo-environmental sciences and for quantitative risk management in statistical finance, econometrics, and actuarial…

Methodology · Statistics 2024-04-16 Jordan Richards , Raphaël Huser

We investigate the estimation of the extreme value index when the data are subject to random censorship. We prove, in a unified way, detailed asymptotic normality results for various estimators of the extreme value index and use these…

Statistics Theory · Mathematics 2008-12-18 John H. J. Einmahl , Amélie Fils-Villetard , Armelle Guillou

This paper presents an extremum seeking control algorithm with an adaptive step-size that adjusts the aggressiveness of the controller based on the quality of the gradient estimate. The adaptive step-size ensures that the integral-action…

Optimization and Control · Mathematics 2021-12-21 Claus Danielson , Scott A. Bortoff , Ankush Chakrabarty

We study variance reduction for score estimation and diffusion-based sampling in settings where the clean (target) score is available or can be approximated. Starting from the Target Score Identity (TSI), which expresses the noisy marginal…

Machine Learning · Statistics 2026-01-26 Alois Duston , Tan Bui-Thanh

The design of a reward function often poses a major practical challenge to real-world applications of reinforcement learning. Approaches such as inverse reinforcement learning attempt to overcome this challenge, but require expert…

Machine Learning · Computer Science 2018-11-14 Justin Fu , Avi Singh , Dibya Ghosh , Larry Yang , Sergey Levine

Background: The Expected Value of Sample Information (EVSI) calculates the value of collecting additional information through a study with a given design. Standard EVSI analyses assume that the treatment recommendations based on the new…

Methodology · Statistics 2021-05-14 Anna Heath

We introduce a machine-learning-based approach to enhance the sensitivity of optical-extreme ultraviolet (XUV) transient absorption spectroscopy. A reference spectrum is used as input to a three-layer feed-forward neural network, allowing…

Optics · Physics 2023-05-04 Tobias Heinrich , Hung-Tzu Chang , Sergey Zayko , Murat Sivis , Claus Ropers

A novel and comprehensive methodology designed to tackle the challenges posed by extreme values in the context of random censorship is introduced. The main focus is on the analysis of integrals based on the product-limit estimator of…

Statistics Theory · Mathematics 2025-02-18 Martin Bladt , Igor Rodionov

The two popular systemic risk measures CoVaR (Conditional Value-at-Risk) and CoES (Conditional Expected Shortfall) have recently been receiving growing attention on applications in economics and finance. In this paper, we study the…

Methodology · Statistics 2026-01-21 Qingzhao Zhong

This paper presents an adaptive version of the Hill estimator based on Lespki's model selection method. This simple data-driven index selection method is shown to satisfy an oracle inequality and is checked to achieve the lower bound…

Statistics Theory · Mathematics 2015-12-16 Stéphane Boucheron , Maud Thomas

Interference prediction that accounts for extreme and rare events remains a key challenge for ultra-densely deployed sub-networks (SNs) requiring hyper-reliable low-latency communication (HRLLC), particularly under dynamic mobility, rapidly…

Signal Processing · Electrical Eng. & Systems 2025-07-22 Pramesh Gautam , Sushmita Sapkota , Carsten Bockelmann , Shashi Raj Pandey , Armin Dekorsy

We propose a novel neural network architecture that enables non-parametric calibration and generation of multivariate extreme value distributions (MEVs). MEVs arise from Extreme Value Theory (EVT) as the necessary class of models when…

Machine Learning · Statistics 2022-03-03 Ali Hasan , Khalil Elkhalil , Yuting Ng , Joao M. Pereira , Sina Farsiu , Jose H. Blanchet , Vahid Tarokh

Recent years have witnessed growing interest in semi-implicit variational inference (SIVI) methods due to their ability to rapidly generate samples from complex distributions. However, since the likelihood of these samples is non-trivial to…

Machine Learning · Computer Science 2025-06-05 Tobias Pielok , Bernd Bischl , David Rügamer

This paper introduces a novel approach employing extreme value theory to analyze queue lengths within a corridor controlled by adaptive controllers. We consider the maximum queue lengths of a signalized corridor consisting of nine…

Systems and Control · Electrical Eng. & Systems 2024-08-05 Shakib Mustavee , Pushkin Kachroo , Shaurya Agarwal

When analysing extreme values, two alternative statistical approaches have historically been held in contention: the block maxima method (or annual maxima method, spurred by hydrological applications) and the peaks-over-threshold. Clamoured…

Statistics Theory · Mathematics 2026-02-12 Claudia Neves , Chang Xu

The Generalized Extreme Value (GEV) distribution plays a critical role in risk assessment across various domains, such as hydrology, climate science, and finance. In this study, we investigate its application in analyzing intraday trading…

Applications · Statistics 2024-12-10 Sen Lin , Ao Kong , Robert Azencott

We introduce a semi-supervised learning estimator which tends to the first kernel principal component as the number of labelled points vanishes. Our approach is based on the notion of optimal target vector, which is defined as follows.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leonardo Angelini , Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

We study the problem of empirical minimization for variance-type functionals over functional classes. Sharp non-asymptotic bounds for the excess variance are derived under mild conditions. In particular, it is shown that under some…

Numerical Analysis · Mathematics 2021-08-03 D. Belomestny , L. Iosipoi , Q. Paris , N. Zhivotovskiy

Variational inference (VI) has emerged as a popular method for approximate inference for high-dimensional Bayesian models. In this paper, we propose a novel VI method that extends the naive mean field via entropic regularization, referred…

Machine Learning · Statistics 2026-02-02 Bohan Wu , David Blei