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It is well known that the asymptotic variance of sample quantiles can be reduced under heterogeneity relative to the i.i.d. setting. However, asymptotically correct confidence intervals for quantiles are not yet available. We propose a…

统计理论 · 数学 2026-01-27 John H. J. Einmahl , Yi He

Methods borrowed from the world of quantum information processing have lately been used to enhance the signal-to-noise ratio of quantum detectors. Here we analyze the use of stabilizer quantum error-correction codes for the purpose of…

量子物理 · 物理学 2013-10-15 Roee Ozeri

Calibration$\unicode{x2014}$the problem of ensuring that predicted probabilities align with observed class frequencies$\unicode{x2014}$is a basic desideratum for reliable prediction with machine learning systems. Calibration error is…

机器学习 · 统计学 2026-03-02 Eugène Berta , Sacha Braun , David Holzmüller , Francis Bach , Michael I. Jordan

Existing training criteria in automatic speech recognition(ASR) permit the model to freely explore more than one time alignments between the feature and label sequences. In this paper, we use entropy to measure a model's uncertainty, i.e.…

计算与语言 · 计算机科学 2022-12-26 Ehsan Variani , Ke Wu , David Rybach , Cyril Allauzen , Michael Riley

This paper explores the effects of simulated moments on the performance of inference methods based on moment inequalities. Commonly used confidence sets for parameters are level sets of criterion functions whose boundary points may depend…

计量经济学 · 经济学 2018-04-12 Hiroaki Kaido , Jiaxuan Li , Marc Rysman

The breakthrough of quantum error correction brought with it the picture of quantum information as a sort of combination of two complementary types of classical information, "amplitude" and "phase". Here I show how this intuition can be…

量子物理 · 物理学 2016-05-09 Joseph M. Renes

The simplicity of a question such as wondering if correlations characterize or not a certain system collides with the experimental difficulty of accessing such information. Here we present a low demanding experimental approach which refers…

Machine learning models have emerged as a very effective strategy to sidestep time-consuming electronic-structure calculations, enabling accurate simulations of greater size, time scale and complexity. Given the interpolative nature of…

Uncertainty quantification for Particle Image Velocimetry (PIV) is critical for comparing flow fields with Computational Fluid Dynamics (CFD) results, and model design and validation. However, PIV features a complex measurement chain with…

流体动力学 · 物理学 2021-07-07 Lalit K. Rajendran , Sayantan Bhattacharya , Sally P. M. Bane , Pavlos P. Vlachos

This paper proposes a verification-based decoding approach for reconstruction of a sparse signal with incremental sparse measurements. In its first step, the verification-based decoding algorithm is employed to reconstruct the signal with a…

信息论 · 计算机科学 2013-02-12 Xiaofu Wu , Zhen Yang , Lu Gan

A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating…

多媒体 · 计算机科学 2010-11-12 Ali Ayremlou , Mohammad Tofighi , Farokh Marvasti

The signal to noise ratio of quantum sensing protocols scales with the square root of the coherence time. Thus, increasing this time is a key goal in the field. Dynamical decoupling has proven to be efficient in prolonging the coherence…

量子物理 · 物理学 2015-06-17 Gilad Arrad , Yuval Vinkler , Dorit Aharonov , Alex Retzker

We overview some recent results in the field of uncertainty quantification for kinetic equations and related problems with random inputs. Uncertainties may be due to various reasons, such as lack of knowledge on the microscopic interaction…

数值分析 · 数学 2020-04-13 Lorenzo Pareschi

We present a set of methods to generate less complex error channels by quantum circuit parallelisation. The resulting errors are simplified as a consequence of their symmetrisation and randomisation. Initially, the case of a single error…

量子物理 · 物理学 2023-05-26 James Mills , Debasis Sadhukhan , Elham Kashefi

An important issue is that the respiratory mortality may be a result of air pollution which can be measured by the following variables: temperature, relative humidity, carbon monoxide, sulfur dioxide, nitrogen dioxide, hydrocarbons, ozone…

应用统计 · 统计学 2019-07-11 Bahadır Yüzbaşı , Yasin Aşar , Şamil Şık , Ahmet Demiralp

The prediction interval is gaining prominence in meta-analysis as it enables the assessment of uncertainties in treatment effects and heterogeneity between studies. However, coverage probabilities of the current standard method for…

统计方法学 · 统计学 2021-10-18 Kengo Nagashima , Hisashi Noma , Toshi A. Furukawa

Latent variable models (LVMs) are commonly used in psychology and increasingly used for analyzing brain imaging data. Such studies typically involve a small number of participants (n<100), where standard asymptotic results often fail to…

统计方法学 · 统计学 2020-06-15 Brice Ozenne , Patrick M. Fisher , Esben Budtz-Jørgensen

The abundance of data produced daily from large variety of sources has boosted the need of novel approaches on causal inference analysis from observational data. Observational data often contain noisy or missing entries. Moreover, causal…

统计方法学 · 统计学 2017-03-14 Fani Tsapeli , Peter Tino , Mirco Musolesi

Event attribution in the context of climate change seeks to understand the role of anthropogenic greenhouse gas emissions on extreme weather events, either specific events or classes of events. A common approach to event attribution uses…

统计方法学 · 统计学 2018-02-06 Christopher J. Paciorek , Dáithí A. Stone , Michael F. Wehner

In the frequentist program, inferential methods with exact control on error rates are a primary focus. The standard approach, however, is to rely on asymptotic approximations, which may not be suitable. This paper presents a general…

统计理论 · 数学 2016-01-26 Ryan Martin