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In this paper, a linear infinite dimensional distributed systems in a Hilbert space has been discussed and analyzed where the dynamics of system is governed by strongly continuous semi-groups. The characterizations of regional strategic…

Optimization and Control · Mathematics 2020-05-06 Raheam A Mansor Al-Saphory , Mohammed A Al-Joubory , Mahmood K Jasim

The purpose of this paper is to characterize regional boundary gradient strategic sensors notions for different cases of regional boundary gradient observation to be achieved. Then, the characterizations based on how to a cross from…

Optimization and Control · Mathematics 2020-05-06 Raheam A. Al-Saphory , Naseif J. Al-Jawari , Asmaa N. Al-Janabi

This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of the system is governed by strongly continuous semi-groups. More precisely, for parabolic distributed systems the…

Optimization and Control · Mathematics 2020-05-13 Raheam A. Al-Saphory , Hind K. Kolaib

The main idea of this paper is to explore and present the original results related to the notion of regional boundary gradient strategic sensors in distributed parameter system for Neumann problem. Thus, this systems is described by…

Optimization and Control · Mathematics 2020-05-28 Raheam Al-Saphory , Mrooj Al-Bayati

The main purpose of this paper is to study and characterize the existing of general asymptotic regional gradient observer which observe the current gradient state of the original system in connection with gradient strategic sensors. Thus,…

Optimization and Control · Mathematics 2020-05-08 Asmaa N. Al-Janabi , Raheam A. Al-Saphory , Naseif J. Al-Jawari

The aim of this chapter is to introduce the concept of regional boundary exponential reduced observability in connection with the sensors characterizations on a sub-region on boundary of the considered domain boundary. More precisely, we…

Optimization and Control · Mathematics 2020-05-13 Raheam A. Al-Saphory , Hind K. Kolaib

The purpose of this paper is to deals with the problem of regional boundary asymptotic gradient full order observer (regional boundary asymptotic gradient full order observer) concept by using internal regional case. Thus, we study the…

Optimization and Control · Mathematics 2020-04-30 Raheam A. Al-Saphory , Zinah A. Khalid

The aim of this paper is to extend the concept of regional exponential general observability to the case of Neumann boundary conditions problem in diffusion system. More precisely, for linear distributed parameter diffusion systems, we show…

Optimization and Control · Mathematics 2020-05-29 Zainab A. Jaafar , Raheam A. Al-Saphory

This paper for the first time addresses the concepts of regional gradient observability for the Riemann-Liouville time fractional order diffusion system in an interested subregion of the whole domain without the knowledge of the initial…

Optimization and Control · Mathematics 2016-08-09 Fudong Ge , YangQuan Chen , Chunhai Kou

The purpose of this paper is to explore the concept of the regional boundary asymptotic gradient full order observer (RBAGFO-observer) in connection with the characterizations of sensors structures. Then, we present various results related…

Optimization and Control · Mathematics 2020-05-05 Zinah A. Khalid , Raheam A. Al-Saphory

We provide a functional view of distributional robustness motivated by robust statistics and functional analysis. This results in two practical computational approaches for approximate distributionally robust nonlinear optimization based on…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Yassine Nemmour , Bernhard Schölkopf , Jia-Jie Zhu

Risk-sensitive reinforcement learning (RL) is crucial for maintaining reliable performance in high-stakes applications. While traditional RL methods aim to learn a point estimate of the random cumulative cost, distributional RL (DRL) seeks…

Machine Learning · Computer Science 2025-02-03 Minheng Xiao , Xian Yu , Lei Ying

This paper develops methodology for local sensitivity analysis based on directional derivatives associated with spatial processes. Formal gradient analysis for spatial processes was elaborated in previous papers, focusing on distribution…

Statistics Theory · Mathematics 2015-03-31 Maria A. Terres , Alan E. Gelfand

In this paper, we propose a random gradient-free method for optimization in infinite dimensional Hilbert spaces, applicable to functional optimization in diverse settings. Though such problems are often solved through finite-dimensional…

Optimization and Control · Mathematics 2025-12-25 Caio Lins Peixoto , Daniel Csillag , Bernardo F. P. da Costa , Yuri F. Saporito

Predictive State Representations (PSRs) are an expressive class of models for controlled stochastic processes. PSRs represent state as a set of predictions of future observable events. Because PSRs are defined entirely in terms of…

Machine Learning · Computer Science 2013-09-27 Byron Boots , Geoffrey Gordon , Arthur Gretton

In this paper, we present a scheme of fully distributed resilient state estimation for linear dynamical systems under sensor attacks. The proposed state observer consists of a network of local observers, where each of them utilizes local…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Jin Gyu Lee , Junsoo Kim , Hyungbo Shim

Policy gradient is a generic and flexible reinforcement learning approach that generally enjoys simplicity in analysis, implementation, and deployment. In the last few decades, this approach has been extensively advanced for fully…

Machine Learning · Computer Science 2020-05-26 Kamyar Azizzadenesheli , Yisong Yue , Animashree Anandkumar

Policy gradient methods hold great potential for solving complex continuous control tasks. Still, their training efficiency can be improved by exploiting structure within the optimization problem. Recent work indicates that supervised…

Machine Learning · Computer Science 2024-03-19 Jan Schneider , Pierre Schumacher , Simon Guist , Le Chen , Daniel Häufle , Bernhard Schölkopf , Dieter Büchler

In this paper, a distributed stochastic gradient (SG) algorithm is proposed where the estimators are aimed to collectively estimate an unknown time-invariant parameter from a set of noisy measurements obtained by distributed sensors. The…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Die Gan , Zhixin Liu

In this paper we present a complete description of a stochastic semigroup of finite-dimensional projections in Hilbert space. The geometry of such semigroups is characterized by the asymptotic behavior of the widths of compact subsets with…

Probability · Mathematics 2010-09-22 Andrey A. Dorogovtsev
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