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Within the framework of weighted integrable Hamiltonian systems, we study the long-time behavior of the associated statistical ensembles. We construct an action-dependent angular conjugacy that rectifies the nonuniform angular flow into a…

动力系统 · 数学 2025-09-29 Xinyu Liu , Yong Li

Quantum supremacy in many applications using well-known quantum algorithms rely on availability of data in quantum format. Quantum Random Access Memory (QRAM), an equivalent of classical Random Access Memory (RAM), fulfills this…

量子物理 · 物理学 2022-10-31 Koustubh Phalak , Junde Li , Swaroop Ghosh

Quantile regression is a method to estimate the quantiles of the conditional distribution of a response variable, and as such it permits a much more accurate portrayal of the relationship between the response variable and observed…

数据结构与算法 · 计算机科学 2014-01-08 Jiyan Yang , Xiangrui Meng , Michael W. Mahoney

Statistically simulated time series of wave parameters are required for many coastal and offshore engineering applications, often at the resolution of approximately one hour. Various studies have relied on autoregressive moving-average…

应用统计 · 统计学 2018-10-31 Wiebke S. Jäger , Thomas Nagler , Claudia Czado , Robert T. McCall

We present Kernel-QuantTree Exponentially Weighted Moving Average (KQT-EWMA), a non-parametric change-detection algorithm that combines the Kernel-QuantTree (KQT) histogram and the EWMA statistic to monitor multivariate data streams online.…

Quantum learning encounters fundamental challenges when estimating non-linear properties, owing to the inherent linearity of quantum mechanics. Although recent advances in single-copy randomized measurement protocols have achieved optimal…

量子物理 · 物理学 2026-03-30 Zhenyu Du , Yifan Tang , Andreas Elben , Ingo Roth , Jens Eisert , Zhenhuan Liu

Continuous-time autoregressive moving average (CARMA) process driven by simple semi-L\'evy process has periodically correlated property with many potential application in finance. In this paper, we study on the estimation of the parameters…

概率论 · 数学 2019-12-24 N. Modarresi , S. Rezakhah , M. Mohammadi

We propose regression models for curve-valued responses in two or more dimensions, where only the image but not the parametrization of the curves is of interest. Examples of such data are handwritten letters, movement paths or outlines of…

统计方法学 · 统计学 2023-06-16 Lisa Steyer , Almond Stöcker , Sonja Greven

Modelling physical data with linear discrete time series, namely Fractionally Integrated Autoregressive Moving Average (ARFIMA), is a technique which achieved attention in recent years. However, these models are used mainly as a statistical…

数据分析、统计与概率 · 物理学 2017-03-20 Jakub Ślęzak , Aleksander Weron

We propose a novel conditional quantile prediction method based on complete subset averaging (CSA) for quantile regressions. All models under consideration are potentially misspecified and the dimension of regressors goes to infinity as the…

计量经济学 · 经济学 2022-08-11 Ji Hyung Lee , Youngki Shin

Quantum metrology derives its capabilities from the careful employ of quantum resources for carrying out measurements. This advantage, however, relies on refined data postprocessing, assessed based on the variance of the estimated…

Modular quantum architectures have emerged as a promising approach for scaling quantum computing systems by connecting multiple Quantum Processing Units (QPUs). However, this approach introduces significant challenges due to costly…

量子物理 · 物理学 2026-05-12 Sokea Sang , Leanghok Hour , Youngsun Han

Conformalized Quantile Regression (CQR) is a recently proposed method for constructing prediction intervals for a response $Y$ given covariates $X$, without making distributional assumptions. However, existing constructions of CQR can be…

统计方法学 · 统计学 2024-05-16 Raphael Rossellini , Rina Foygel Barber , Rebecca Willett

We develop a new efficient sequential approximate leverage score algorithm, SALSA, using methods from randomized numerical linear algebra (RandNLA) for large matrices. We demonstrate that, with high probability, the accuracy of SALSA's…

机器学习 · 统计学 2024-01-02 Ali Eshragh , Luke Yerbury , Asef Nazari , Fred Roosta , Michael W. Mahoney

In this paper we propose the adaptive lasso for predictive quantile regression (ALQR). Reflecting empirical findings, we allow predictors to have various degrees of persistence and exhibit different signal strengths. The number of…

计量经济学 · 经济学 2024-06-05 Rui Fan , Ji Hyung Lee , Youngki Shin

We propose new parametric frameworks of regression analysis with the conditional mode of a bounded response as the focal point of interest. Covariate effects estimation and prediction based on the maximum likelihood method under two new…

统计方法学 · 统计学 2020-06-22 Haiming Zhou , Xianzheng Huang

In this paper we derive the asymptotic properties of the least squares estimator (LSE) of fractionally integrated autoregressive moving-average (FARIMA) models under the assumption that the errors are uncorrelated but not necessarily…

应用统计 · 统计学 2021-03-19 Yacouba Boubacar Maïnassara , Youssef Esstafa , Bruno Saussereau

Nonstationarity of real-life time series requires model adaptation. In classical approaches like ARMA-ARCH there is assumed some arbitrarily chosen dependence type. To avoid their bias, we will focus on novel more agnostic approach: moving…

统计方法学 · 统计学 2025-06-09 Jarek Duda

Estimating the gradients for binary variables is a task that arises frequently in various domains, such as training discrete latent variable models. What has been commonly used is a REINFORCE based Monte Carlo estimation method that uses…

机器学习 · 计算机科学 2021-06-01 Alek Dimitriev , Mingyuan Zhou

Neural quantum states have established themselves as a powerful and versatile family of ansatzes for variational Monte Carlo simulations of quantum many-body systems. Of particular prominence are autoregressive neural quantum states (ANQS),…

量子物理 · 物理学 2023-10-09 Aleksei Malyshev , Juan Miguel Arrazola , A. I. Lvovsky
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