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This work develops a robust diffusion recursive least squares algorithm to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. This algorithm minimizes an exponentially weighted…

Information Theory · Computer Science 2019-02-20 Y. Yu , R. C. de Lamare , Y. Zakharov

In this paper we generalize three identification recursive algorithms belonging to the pseudo-linear class, by introducing a predictor established on a generalized orthonormal function basis. Contrary to the existing identification schemes…

Systems and Control · Computer Science 2019-08-14 Bernard Vau , Henri Bourlès

Iterative regularization exploits the implicit bias of an optimization algorithm to regularize ill-posed problems. Constructing algorithms with such built-in regularization mechanisms is a classic challenge in inverse problems but also in…

Optimization and Control · Mathematics 2022-02-02 Cesare Molinari , Mathurin Massias , Lorenzo Rosasco , Silvia Villa

We study the decentralized online regularized linear regression algorithm over random time-varying graphs. At each time step, every node runs an online estimation algorithm consisting of an innovation term processing its own new…

Machine Learning · Computer Science 2025-10-02 Xiwei Zhang , Tao Li , Xiaozheng Fu

Cloth changing person re-identification(Re-ID) can work under more complicated scenarios with higher security than normal Re-ID and biometric techniques and is therefore extremely valuable in applications. Meanwhile, higher flexibility in…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Renjie Zhang , Yu Fang , Huaxin Song , Fangbin Wan , Yanwei Fu , Hirokazu Kato , Yang Wu

In this work, we first show that the problem of parameter identification is often ill-conditioned and lacks the persistence of excitation required for the convergence of online learning schemes. To tackle these challenges, we introduce the…

Systems and Control · Electrical Eng. & Systems 2025-08-19 Chi Ho Leung , Ashish R. Hota , Philip E. Paré

In order to identify one system (module) in an interconnected dynamic network, one typically has to solve a Multi-Input-Single-Output (MISO) identification problem that requires identification of all modules in the MISO setup. For…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Karthik R. Ramaswamy , Giulio Bottegal , Paul M. J. Van den Hof

We study recursive-cube-of-rings (RCR), a class of scalable graphs that can potentially provide rich inter-connection network topology for the emerging distributed and parallel computing infrastructure. Through rigorous proof and validating…

Geometric Topology · Mathematics 2013-05-13 Kai Xie , Jing Li , Yumei Wang , Chau Yuen

How to obtain the desirable representation of a 3D shape is a key challenge in 3D shape retrieval task. Most existing 3D shape retrieval methods focus on capturing shape representation with different neural network architectures, while the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Zhaoqun Li

We propose a novel adaptive kernel based regression method for complex-valued signals: the generalized complex-valued kernel least-mean-square (gCKLMS). We borrow from the new results on widely linear reproducing kernel Hilbert space…

Machine Learning · Statistics 2019-10-02 Rafael Boloix-Tortosa , Juan José Murillo-Fuentes , Sotirios A. Tsaftaris

State-of-the-art image reconstruction often relies on complex, highly parameterized deep architectures. We propose an alternative: a data-driven reconstruction method inspired by the classic Tikhonov regularization. Our approach iteratively…

Image and Video Processing · Electrical Eng. & Systems 2025-02-07 Mehrsa Pourya , Erich Kobler , Michael Unser , Sebastian Neumayer

In this contribution, we are concerned with model order reduction in the context of iterative regularization methods for the solution of inverse problems arising from parameter identification in elliptic partial differential equations. Such…

Numerical Analysis · Mathematics 2024-10-14 Michael Kartmann , Tim Keil , Mario Ohlberger , Stefan Volkwein , Barbara Kaltenbacher

In this paper, we propose a novel online optimization algorithm built by combining ideas from control theory and system identification. The foundation of our algorithm is a control-based design that makes use of the internal model of the…

Optimization and Control · Mathematics 2025-11-26 Wouter J. A. van Weerelt , Lantian Zhang , Silun Zhang , Nicola Bastianello

In the last decade, a considerable research effort has been devoted to developing adaptive algorithms based on kernel functions. One of the main features of these algorithms is that they form a family of universal approximation techniques,…

Signal Processing · Electrical Eng. & Systems 2018-08-21 A. Flores , R. C. de Lamare

Recursive Neural Networks are non-linear adaptive models that are able to learn deep structured information. However, these models have not yet been broadly accepted. This fact is mainly due to its inherent complexity. In particular, not…

Neural and Evolutionary Computing · Computer Science 2009-11-18 Alejandro Chinea

Kernel-based methods have been recently introduced for linear system identification as an alternative to parametric prediction error methods. Adopting the Bayesian perspective, the impulse response is modeled as a non-stationary Gaussian…

Optimization and Control · Mathematics 2017-03-16 Mattia Zorzi , Alessandro Chiuso

In this paper we introduce a novel method for linear system identification with quantized output data. We model the impulse response as a zero-mean Gaussian process whose covariance (kernel) is given by the recently proposed stable spline…

Systems and Control · Computer Science 2017-06-21 Giulio Bottegal , Håkan Hjalmarsson , Gianluigi Pillonetto

Kernelization algorithms in the context of Parameterized Complexity are often based on a combination of reduction rules and combinatorial insights. We will expose in this paper a similar strategy for obtaining polynomial-time approximation…

Data Structures and Algorithms · Computer Science 2014-09-15 Faisal N. Abu-Khzam , Cristina Bazgan , Morgan Chopin , Henning Fernau

This paper addresses the problem of learning the impulse responses characterizing forward models by means of a regularized kernel-based Prediction Error Method (PEM). The common approach to accomplish that is to approximate the system with…

Optimization and Control · Mathematics 2024-09-20 Giulio Fattore , Marco Peruzzo , Giacomo Sartori , Mattia Zorzi

Kernel logistic regression (KLR) is a powerful classification method widely applied across diverse domains. In many real-world scenarios, indefinite kernels capture more domain-specific structural information than positive definite kernels.…

Machine Learning · Statistics 2025-10-31 Shaoxin Wang , Hanjing Yao
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