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Related papers: Simulation-Based Inference with Quantile Regressio…

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This article introduces a Bayesian neural network estimation method for quantile regression assuming an asymmetric Laplace distribution (ALD) for the response variable. It is shown that the posterior distribution for feedforward neural…

Statistics Theory · Mathematics 2022-04-06 Sanket R. Jantre , Shrijita Bhattacharya , Tapabrata Maiti

Despite impressive state-of-the-art performance on a wide variety of machine learning tasks, deep learning methods can produce over-confident predictions, particularly with limited training data. Therefore, quantifying uncertainty is…

Machine Learning · Computer Science 2022-04-27 Haleh Akrami , Anand Joshi , Sergul Aydore , Richard Leahy

Sequential quantile estimation refers to incorporating observations into quantile estimates in an incremental fashion thus furnishing an online estimate of one or more quantiles at any given point in time. Sequential quantile estimation is…

Computation · Statistics 2017-03-07 Michael Stephanou , Melvin Varughese , Iain Macdonald

We present PolySwyft, a novel, non-amortised simulation-based inference framework that unites the strengths of nested sampling (NS) and neural ratio estimation (NRE) to tackle challenging posterior distributions when the likelihood is…

Instrumentation and Methods for Astrophysics · Physics 2025-12-10 Kilian H. Scheutwinkel , Will Handley , Christoph Weniger , Eloy de Lera Acedo

In this paper, we develop a new and effective approach to nonparametric quantile regression that accommodates ultrahigh-dimensional data arising from spatio-temporal processes. This approach proves advantageous in staving off computational…

Methodology · Statistics 2024-05-27 Soudeep Deb , Claudia Neves , Subhrajyoty Roy

Off-Policy evaluation (OPE) is concerned with evaluating a new target policy using offline data generated by a potentially different behavior policy. It is critical in a number of sequential decision making problems ranging from healthcare…

Machine Learning · Statistics 2023-01-02 Yang Xu , Chengchun Shi , Shikai Luo , Lan Wang , Rui Song

Near-term quantum computers provide a promising platform for finding ground states of quantum systems, which is an essential task in physics, chemistry, and materials science. Near-term approaches, however, are constrained by the effects of…

Quantitative susceptibility mapping (QSM) is an MRI phase-based post-processing technique to extract the distribution of tissue susceptibilities, demonstrating significant potential in studying neurological diseases. However, the…

Image and Video Processing · Electrical Eng. & Systems 2024-06-19 Min Li , Chen Chen , Zhuang Xiong , Ying Liu , Pengfei Rong , Shanshan Shan , Feng Liu , Hongfu Sun , Yang Gao

As the advances in quantum hardware bring us into the noisy intermediate-scale quantum (NISQ) era, one possible task we can perform without quantum error correction using NISQ machines is the variational quantum eigensolver (VQE) due to its…

Quantum Physics · Physics 2020-07-29 Zhenyu Cai

Recent methods in quantile regression have adopted a classification perspective to handle challenges posed by heteroscedastic, multimodal, or skewed data by quantizing outputs into fixed bins. Although these regression-as-classification…

Machine Learning · Computer Science 2024-11-05 Batuhan Cengiz , Halil Faruk Karagoz , Tufan Kumbasar

While neural networks have demonstrated impressive performance across various tasks, accurately quantifying uncertainty in their predictions is essential to ensure their trustworthiness and enable widespread adoption in critical systems.…

Machine Learning · Statistics 2025-11-11 Joseph Wilson , Chris van der Heide , Liam Hodgkinson , Fred Roosta

Semi-parametric quantile regression (SPQR) is a flexible approach to density regression that learns a spline-based representation of conditional density functions using neural networks. As it makes no parametric assumptions about the…

Methodology · Statistics 2026-02-26 Reetam Majumder , Jordan Richards

A learning-based posterior distribution estimation method, Probabilistic Dipole Inversion (PDI), is proposed to solve quantitative susceptibility mapping (QSM) inverse problem in MRI with uncertainty estimation. A deep convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2020-04-28 Jinwei Zhang , Hang Zhang , Mert Sabuncu , Pascal Spincemaille , Thanh Nguyen , Yi Wang

In variational inference (VI), an approximation of the posterior distribution is selected from a family of distributions through numerical optimization. With the most common variational objective function, known as the evidence lower bound…

Machine Learning · Statistics 2025-01-15 Declan McNamara , Jackson Loper , Jeffrey Regier

Simulation-based inference with neural posterior estimation (NPE) often yields overconfident and unreliable posteriors under limited simulation budgets. To address this, we propose DRO-NPE, a distributionally robust approach that replaces…

Machine Learning · Statistics 2026-05-28 William Laplante , Yuga Hikida , Charita Dellaporta , François-Xavier Briol , Ayush Bharti

Accurately predicting watch time is crucial for optimizing recommendations and user experience in short video platforms. However, existing methods that estimate a single average watch time often fail to capture the inherent uncertainty in…

Machine Learning · Computer Science 2025-05-20 Chengzhi Lin , Shuchang Liu , Chuyuan Wang , Yongqi Liu

Computer simulations have proven a valuable tool for understanding complex phenomena across the sciences. However, the utility of simulators for modelling and forecasting purposes is often restricted by low data quality, as well as…

Machine Learning · Statistics 2022-10-14 Daniel Ward , Patrick Cannon , Mark Beaumont , Matteo Fasiolo , Sebastian M Schmon

In this paper, we delve into the statistical analysis of the fitted Q-evaluation (FQE) method, which focuses on estimating the value of a target policy using offline data generated by some behavior policy. We provide a comprehensive…

Statistics Theory · Mathematics 2024-06-18 Jiayi Wang , Zhengling Qi , Raymond K. W. Wong

It is well known that it is impossible to construct useful confidence intervals (CIs) about the mean or median of a response $Y$ conditional on features $X = x$ without making strong assumptions about the joint distribution of $X$ and $Y$.…

Methodology · Statistics 2024-01-29 Jayoon Jang , Emmanuel Candès

Recent advances in quantum hardware motivate the development of algorithmic frameworks that integrate quantum sampling with classical inference. This work introduces a segmentation-based regression method tailored to quantum neural networks…

Quantum Physics · Physics 2025-07-02 James C. Hateley