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In this comment on "Solving Statistical Mechanics Using Variational Autoregressive Networks" by Wu et al., we propose a subtle yet powerful modification of their approach. We show that the inherent sampling error of their method can be…

We study the problem of reconstructing the probability measure of the Curie-Weiss model from a sample of the voting behaviour of a subset of the population. While originally used to study phase transitions in statistical mechanics, the…

概率论 · 数学 2025-08-06 Miguel Ballesteros , Ivan Naumkin , Gabor Toth

We propose a quantum algorithm for sampling from a solution of stochastic differential equations (SDEs). Using differentiable quantum circuits (DQCs) with a feature map encoding of latent variables, we represent the quantile function for an…

量子物理 · 物理学 2023-08-21 Annie E. Paine , Vincent E. Elfving , Oleksandr Kyriienko

In this article, we develop a distributed variable screening method for generalized linear models. This method is designed to handle situations where both the sample size and the number of covariates are large. Specifically, the proposed…

统计方法学 · 统计学 2024-05-09 Tianbo Diao , Lianqiang Qu , Bo Li , Liuquan Sun

Stochastic convex optimization, where the objective is the expectation of a random convex function, is an important and widely used method with numerous applications in machine learning, statistics, operations research and other areas. We…

机器学习 · 计算机科学 2016-11-23 Vitaly Feldman , Cristobal Guzman , Santosh Vempala

A probabilistic approach for estimating sample qualities for stochastic differential equations is introduced in this paper. The aim is to provide a quantitative upper bound of the distance between the invariant probability measure of a…

数值分析 · 数学 2019-12-24 Matthew Dobson , Jiayu Zhai , Yao Li

The aim of this paper is to describe a new an integrated methodology for project control under uncertainty. This proposal is based on Earned Value Methodology and risk analysis and presents several refinements to previous methodologies.…

风险管理 · 定量金融 2024-06-06 Fernando Acebes , M Pereda , David Poza , Javier Pajares , Jose M Galan

We describe a general technique that yields the first {\em Statistical Query lower bounds} for a range of fundamental high-dimensional learning problems involving Gaussian distributions. Our main results are for the problems of (1) learning…

机器学习 · 计算机科学 2017-05-18 Ilias Diakonikolas , Daniel M. Kane , Alistair Stewart

In this paper we consider the simulation-based Bayesian analysis of stochastic volatility in mean (SVM) models. Extending the highly efficient Markov chain Monte Carlo mixture sampler for the SV model proposed in Kim et al. (1998) and Omori…

计量经济学 · 经济学 2024-11-21 Daichi Hiraki , Siddhartha Chib , Yasuhiro Omori

We explore the statistical and economic importance of restrictions on the dynamics of risk compensation from the perspective of a real-time Bayesian learner who predicts bond excess returns using dynamic term structure models (DTSMs). The…

We propose a method to ease the challenges of exploring multi-dimensional parameter spaces in beyond-the-Standard Model theories. We evaluate the model likelihood for any choice of parameters by sampling the theory parameters intelligently…

高能物理 - 唯象学 · 物理学 2023-03-08 Carlos A. Argüelles , Nicolò Foppiani , Matheus Hostert

Differential sensitivity measures provide valuable tools for interpreting complex computational models used in applications ranging from simulation to algorithmic prediction. Taking the derivative of the model output in direction of a model…

统计计算 · 统计学 2024-10-03 Silvana M. Pesenti , Pietro Millossovich , Andreas Tsanakas

This paper is about how we study statistical methods. As an example, it uses the random regressions model, in which the intercept and slope of cluster-specific regression lines are modeled as a bivariate random effect. Maximizing this…

其他统计学 · 统计学 2019-05-22 James S. Hodges

We propose a method for training a deterministic deep model that can find and reject out of distribution data points at test time with a single forward pass. Our approach, deterministic uncertainty quantification (DUQ), builds upon ideas of…

机器学习 · 计算机科学 2020-06-30 Joost van Amersfoort , Lewis Smith , Yee Whye Teh , Yarin Gal

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

统计方法学 · 统计学 2023-11-14 Jana Kleinemeier , Nadja Klein

In this paper, a risk-aware motion control scheme is considered for mobile robots to avoid randomly moving obstacles when the true probability distribution of uncertainty is unknown. We propose a novel model predictive control (MPC) method…

机器人学 · 计算机科学 2020-01-15 Astghik Hakobyan , Insoon Yang

In this article, a novel identification test is proposed, which can be applied to parameteric models such as Mixture of Normal (MN) distributions, Markow Switching(MS), or Structural Autoregressive (SVAR) models. In the approach, it is…

统计方法学 · 统计学 2022-06-09 Katarzyna Maciejowska

Due to lack of scientific understanding, some mechanisms may be missing in mathematical modeling of complex phenomena in science and engineering. These mathematical models thus contain some uncertainties such as uncertain parameters. One…

概率论 · 数学 2012-04-05 Jinqiao Duan , Ting Gao , Guowei He

This paper proposes an efficient method for the simultaneous estimation of the state of a quantum system and the classical parameters that govern its evolution. This hybrid approach benefits from efficient numerical methods for the…

量子物理 · 物理学 2017-11-08 Jason F Ralph , Simon Maskell , Kurt Jacobs

Distributed quantum metrology (DQM) enables the estimation of global functions of d distributed parameters beyond the capability of separable sensors. Continuous-variable DQM involves using a linear network with at least one nonclassical…

量子物理 · 物理学 2025-03-19 Wenchao Ge , Kurt Jacobs