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We present a novel statistical approach to incorporating uncertainty awareness in model-free distributional reinforcement learning involving quantile regression-based deep Q networks. The proposed algorithm, $\textit{Calibrated Evidential…

Machine Learning · Computer Science 2024-06-05 Alex Christopher Stutts , Danilo Erricolo , Theja Tulabandhula , Amit Ranjan Trivedi

Improvement of statistical learning models in order to increase efficiency in solving classification or regression problems is still a goal pursued by the scientific community. In this way, the support vector machine model is one of the…

Machine Learning · Statistics 2019-11-22 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

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…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Takumi Kawashima , Qing Yu , Akari Asai , Daiki Ikami , Kiyoharu Aizawa

In modern data analysis, it is common to select a model before performing statistical inference. Selective inference tools make adjustments for the model selection process in order to ensure reliable inference post selection. In this paper,…

Methodology · Statistics 2025-02-24 Yumeng Wang , Snigdha Panigrahi , Xuming He

Kernel quantile regression (KQR) extends classical quantile regression to nonlinear settings using kernel methods, offering a powerful tool for modeling conditional distributions. However, its application to large-scale datasets remains…

Optimization and Control · Mathematics 2026-04-24 Shengxiang Deng , Xudong Li , Yangjing Zhang

Quantum computing leverages quantum effects to build algorithms that are faster then their classical variants. In machine learning, for a given model architecture, the speed of training the model is typically determined by the size of the…

Machine Learning · Computer Science 2022-04-25 Seyran Saeedi , Aliakbar Panahi , Tom Arodz

We establish the asymptotic theory in quantile autoregression when the model parameter is specified with respect to moderate deviations from the unit boundary of the form (1 + c / k) with a convergence sequence that diverges at a rate…

Econometrics · Economics 2023-08-22 Christis Katsouris

In this paper, we explore techniques centered around periodic sampling of model weights that provide convergence improvements on gradient update methods (vanilla \acs{SGD}, Momentum, Adam) for a variety of vision problems (classification,…

Machine Learning · Computer Science 2020-03-23 Samarth Tripathi , Jiayi Liu , Unmesh Kurup , Mohak Shah , Sauptik Dhar

Direct load control of a heterogeneous cluster of residential demand flexibility sources is a high-dimensional control problem with partial observability. This work proposes a novel approach that uses a convolutional neural network to…

Machine Learning · Computer Science 2016-10-12 Bert J. Claessens , Peter Vrancx , Frederik Ruelens

Evaluation of QA systems is very challenging and expensive, with the most reliable approach being human annotations of correctness of answers for questions. Recent works (AVA, BEM) have shown that transformer LM encoder based similarity…

Computation and Language · Computer Science 2023-09-22 Matteo Gabburo , Siddhant Garg , Rik Koncel Kedziorski , Alessandro Moschitti

Quantile regression predicts the $\tau$-quantile of the conditional distribution of a response variable given the explanatory variable for $\tau\in(0,1)$. The aim of this paper is to establish the asymptotic distribution of the quantile…

Statistics Theory · Mathematics 2012-09-07 Takuma Yoshida

This paper analyzes the approximate control variate (ACV) approach to multifidelity uncertainty quantification in the case where weighted estimators are combined to form the components of the ACV. The weighted estimators enable one to…

Computation · Statistics 2024-02-23 Alex A. Gorodetsky , John D. Jakeman , Michael S. Eldred

This paper deals with improvement of linear quantile regression, when there are a few distinct values of the covariates but many replicates. On can improve asymptotic efficiency of the estimated regression coefficients by using suitable…

Applications · Statistics 2020-11-30 Kaushik Jana , Debasis Sengupta

Support vector machines (SVMs) are widely used and constitute one of the best examined and used machine learning models for two-class classification. Classification in SVM is based on a score procedure, yielding a deterministic…

Machine Learning · Statistics 2023-10-11 Sandra Benítez-Peña , Rafael Blanquero , Emilio Carrizosa , Pepa Ramírez-Cobo

Vector Quantization (VQ) has emerged as a prominent weight compression technique, showcasing substantially lower quantization errors than uniform quantization across diverse models, particularly in extreme compression scenarios. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Shuaiting Li , Juncan Deng , Chenxuan Wang , Kedong Xu , Rongtao Deng , Hong Gu , Haibin Shen , Kejie Huang

Variable selection methods have been developed in linear regression to provide sparse solutions. Recent studies have focused on further interpretations on the sparse solutions in terms of false positive control. In this paper, we consider…

Statistics Theory · Mathematics 2019-11-25 X. Jessie Jeng , Xiongzhi Chen

Policy gradient algorithms are widely used in reinforcement learning and belong to the class of approximate dynamic programming methods. This paper studies two key policy gradient algorithms, the Natural Policy Gradient and the Gauss-Newton…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Bowen Song , Sebastien Gros , Andrea Iannelli

In symbolic regression, the goal is to find an analytical expression that accurately fits experimental data with the minimal use of mathematical symbols such as operators, variables, and constants. However, the combinatorial space of…

Machine Learning · Computer Science 2023-04-21 Tommaso Bendinelli , Luca Biggio , Pierre-Alexandre Kamienny

Quantile regression and conditional density estimation can reveal structure that is missed by mean regression, such as multimodality and skewness. In this paper, we introduce a deep learning generative model for joint quantile estimation…

Methodology · Statistics 2023-11-14 Shijie Wang , Minsuk Shin , Ray Bai

We consider a regression modeling of the quantiles of residual life, remaining lifetime at a specific time. We propose a smoothed induced version of the existing non-smooth estimating equations approaches for estimating regression…

Computation · Statistics 2022-05-03 Kyu Hyun Kim , Daniel J. Caplan , Sangwook Kang