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An optimization based state and parameter estimation method is presented where the required Jacobian matrix of the cost function is computed via automatic differentiation. Automatic differentiation evaluates the programming code of the cost…

Chaotic Dynamics · Physics 2015-07-10 Jan Schumann-Bischoff , Stefan Luther , Ulrich Parlitz

Optimization is an important module of modern machine learning applications. Tremendous efforts have been made to accelerate optimization algorithms. A common formulation is achieving a lower loss at a given time. This enables a…

Machine Learning · Computer Science 2025-05-29 Zhonglin Xie , Yiman Fong , Haoran Yuan , Zaiwen Wen

We propose new continuous-time formulations for first-order stochastic optimization algorithms such as mini-batch gradient descent and variance-reduced methods. We exploit these continuous-time models, together with simple Lyapunov analysis…

Optimization and Control · Mathematics 2020-03-12 Antonio Orvieto , Aurelien Lucchi

This paper proposes a redundancy resolution algorithm for a redundant manipulator based on dynamic programming. This algorithm can compute the desired joint angles at each point on a pre-planned discrete path in Cartesian space, while…

Robotics · Computer Science 2024-11-27 Zhihang Yin , Fa Wu , Ruofan Bian , Ziqian Wang , Jianmin Yang , Jiyong Tan , Dexing Kong

The review presents a parameter switching algorithm and his applications which allows numerical approximation of any attractor of a class of continuous-time dynamical systems depending linearly on a real parameter. The considered classes of…

Chaotic Dynamics · Physics 2011-02-16 M. -F. Danca , M. Romera , G. Pastor , F. Montoya

This paper presents a framework for estimating the remaining useful life (RUL) of mechanical systems. The framework consists of a multi-layer perceptron and an evolutionary algorithm for optimizing the data-related parameters. The framework…

Machine Learning · Computer Science 2019-05-16 David Laredo , Zhaoyin Chen , Oliver Schütze , Jian-Qiao Sun

We consider a network of sensors deployed to sense a spatio-temporal field and estimate a parameter of interest. We are interested in the case where the temporal process sensed by each sensor can be modeled as a state-space process that is…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-04-12 S. Sundhar Ram , V. V. Veeravalli , A. Nedic

We consider information retrieval when the data, for instance multimedia, is coputationally expensive to fetch. Our approach uses "information filters" to considerably narrow the universe of possiblities before retrieval. We are especially…

Information Retrieval · Computer Science 2007-05-23 Neil C. Rowe

In this paper, we address tracking of a time-varying parameter with unknown dynamics. We formalize the problem as an instance of online optimization in a dynamic setting. Using online gradient descent, we propose a method that sequentially…

Machine Learning · Computer Science 2016-03-17 Aryan Mokhtari , Shahin Shahrampour , Ali Jadbabaie , Alejandro Ribeiro

We study the use of Temporal-Difference learning for estimating the structural parameters in dynamic discrete choice models. Our algorithms are based on the conditional choice probability approach but use functional approximations to…

Econometrics · Economics 2022-12-23 Karun Adusumilli , Dita Eckardt

Value flow analysis that tracks the flow of values via data dependence is a widely used technique for detecting a broad spectrum of software bugs. However, the scalability issue often deteriorates when high precision (i.e.,…

Software Engineering · Computer Science 2025-02-13 Yongchao Wang , Yuandao Cai , Charles Zhang

We propose a simple method to estimate the parameters involved in discrete dynamical systems from time series. The method is based on the concept of controlling chaos by constant feedback. The major advantages of the method are that it…

Chaotic Dynamics · Physics 2009-11-10 P. Palaniyandi , M. Lakshmanan

This study presents incremental correction methods for refining neural network parameters or control functions entering into a continuous-time dynamic system to achieve improved solution accuracy in satisfying the interim point constraints…

Optimization and Control · Mathematics 2024-03-12 Namhoon Cho , Hyo-Sang Shin , Antonios Tsourdos , Davide Amato

When building linear or nonlinear models one is faced with the problem of selecting the best set of variable with which to predict the future dynamics. In nonlinear time series analysis the problem is to select the correct time delays in…

Chaotic Dynamics · Physics 2007-05-23 Michael Small

Estimating and quantifying uncertainty in unknown system parameters from limited data remains a challenging inverse problem in a variety of real-world applications. While many approaches focus on estimating constant parameters, a subset of…

Methodology · Statistics 2023-05-09 Andrea Arnold

Redundancy is a fundamental characteristic of many biological processes such as those in the genetic, visual, muscular and nervous system; yet its function has not been fully understood. The conventional interpretation of redundancy is that…

Information Theory · Computer Science 2019-02-04 Anh Tuan Nguyen , Jian Xu , Diu Khue Luu , Qi Zhao , Zhi Yang

Accurate, efficient, and robust state estimation is more important than ever in robotics as the variety of platforms and complexity of tasks continue to grow. Historically, discrete-time filters and smoothers have been the dominant…

Time delays are a common perturbation in systems with many states, such as networked, distributed, or decentralized systems. Current methods analyzing the stability of large systems with time delay typically produce very conservative…

Systems and Control · Computer Science 2017-10-31 George Armanious , Rick Lind

The problem of detecting and removing redundant constraints is fundamental in optimization. We focus on the case of linear programs (LPs) in dictionary form, given by $n$ equality constraints in $n+d$ variables, where the variables are…

Computational Geometry · Computer Science 2014-12-04 Komei Fukuda , Bernd Gärtner , May Szedlák

Redundancy matrices provide insights into the load carrying behavior of statically indeterminate structures. This information can be employed for the design and analysis of structures with regard to certain objectives, for example…

Computational Engineering, Finance, and Science · Computer Science 2023-06-22 Tim Krake , Malte von Scheven , Jan Gade , Moataz Abdelaal , Daniel Weiskopf , Manfred Bischoff