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In this article we consider the estimation of static parameters for partially observed diffusion process with discrete-time observations over a fixed time interval. In particular, we assume that one must time-discretize the partially…

统计计算 · 统计学 2023-09-20 Elsiddig Awadelkarim , Ajay Jasra , Hamza Ruzayqat

This paper studies statistical inference in a network of infinite-server queues, with the aim of estimating the underlying parameters (routing matrix, arrival rates, parameters pertaining to the service times) using observations of the…

概率论 · 数学 2025-06-10 Hritika Gupta , Michel Mandjes , Liron Ravner , Jiesen Wang

Modern Internet services, such as those at Google, Yahoo!, and Amazon, handle billions of requests per day on clusters of thousands of computers. Because these services operate under strict performance requirements, a statistical…

机器学习 · 统计学 2011-04-18 Charles Sutton , Michael I. Jordan

This paper deals with the problem of estimating second-order parameter sensitivities for stochastic reaction networks, where the reaction dynamics is modeled as a continuous time Markov chain over a discrete state space. Estimation of such…

概率论 · 数学 2014-07-29 Ankit Gupta , Mustafa Khammash

We introduce a new method of estimation of parameters in semiparametric and nonparametric models. The method is based on estimating equations that are $U$-statistics in the observations. The $U$-statistics are based on higher order…

统计方法学 · 统计学 2023-07-14 James Robins , Lingling Li , Rajarshi Mukherjee , Eric Tchetgen Tchetgen , Aad van der Vaart

We study the problem of parameter-free stochastic optimization, inquiring whether, and under what conditions, do fully parameter-free methods exist: these are methods that achieve convergence rates competitive with optimally tuned methods,…

机器学习 · 计算机科学 2024-10-22 Amit Attia , Tomer Koren

In quantum control, the robustness with respect to uncertainties in the system's parameters or driving field characteristics is of paramount importance and has been studied theoretically, numerically and experimentally. We test in this…

数值分析 · 数学 2019-12-04 Gabriel Turinici

We propose to use neural networks to estimate the rates of coherent and incoherent processes in quantum systems from continuous measurement records. In particular, we adapt an image recognition algorithm to recognize the patterns in…

量子物理 · 物理学 2017-11-15 Eliska Greplova , Christian Kraglund Andersen , Klaus Mølmer

Hybrid quantum-classical optimization algorithms represent one of the most promising application for near-term quantum computers. In these algorithms the goal is to optimize an observable quantity with respect to some classical parameters,…

量子物理 · 物理学 2021-01-27 Leonardo Banchi , Gavin E. Crooks

This paper focuses on modeling the dynamic attributes of a dynamic network with a fixed number of vertices. These attributes are considered as time series which dependency structure is influenced by the underlying network. They are modeled…

统计方法学 · 统计学 2019-11-11 Jonas Krampe

In this paper, we introduce an unbiased gradient simulation algorithms for solving convex optimization problem with stochastic function compositions. We show that the unbiased gradient generated from the algorithm has finite variance and…

最优化与控制 · 数学 2017-11-22 Jose Blanchet , Donald Goldfarb , Garud Iyengar , Fengpei Li , Chaoxu Zhou

To perform a queuing analysis or design in a communications context, we need to estimate the values of the input parameters, specifically the mean of the arrival rate and service time. In this paper, we propose an approach for estimating…

应用统计 · 统计学 2008-02-26 Xinjia Chen

Variance reduction is a family of powerful mechanisms for stochastic optimization that appears to be helpful in many machine learning tasks. It is based on estimating the exact gradient with some recursive sequences. Previously, many papers…

最优化与控制 · 数学 2025-11-07 Aleksandr Shestakov , Valery Parfenov , Aleksandr Beznosikov

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

机器学习 · 计算机科学 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

Dynamical systems modeling, particularly via systems of ordinary differential equations, has been used to effectively capture the temporal behavior of different biochemical components in signal transduction networks. Despite the recent…

定量方法 · 定量生物学 2023-01-06 Nathaniel J. Linden , Boris Kramer , Padmini Rangamani

A parameter estimation method is devised for a slow-fast stochastic dynamical system, where often only the slow component is observable. By using the observations only on the slow component, the system parameters are estimated by working on…

动力系统 · 数学 2013-03-20 Jian Ren , Jinqiao Duan

We consider multi-class single-server queueing networks that have a product form stationary distribution. A new limit result proves a sequence of such networks converges weakly to a stochastic flow level model. The stochastic flow level…

概率论 · 数学 2009-12-15 N. S. Walton

It seems that in the current age, computers, computation, and data have an increasingly important role to play in scientific research and discovery. This is reflected in part by the rise of machine learning and artificial intelligence,…

机器学习 · 计算机科学 2024-05-15 Ronan Keane

Policy gradient methods are very attractive in reinforcement learning due to their model-free nature and convergence guarantees. These methods, however, suffer from high variance in gradient estimation, resulting in poor sample efficiency.…

机器学习 · 计算机科学 2018-11-16 Sergey Pankov

We consider distributed optimization problems where forming the Hessian is computationally challenging and communication is a significant bottleneck. We develop unbiased parameter averaging methods for randomized second order optimization…

机器学习 · 统计学 2020-02-18 Burak Bartan , Mert Pilanci