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Adaptive algorithms based on in-network processing over networks are useful for online parameter estimation of historical data (e.g., noise covariance) in predictive control and machine learning areas. This paper focuses on the distributed…

Optimization and Control · Mathematics 2020-04-01 Jiahong Li , Nan Ma , Fang Deng

We develop a recursive total least-squares (RTLS) algorithm for errors-in-variables system identification utilizing the inverse power method and the dichotomous coordinate-descent (DCD) iterations. The proposed algorithm, called DCD-RTLS,…

Systems and Control · Computer Science 2015-06-22 Reza Arablouei , Kutluyıl Doğançay , Stefan Werner

The development of LLMs has greatly enhanced the intelligence and fluency of question answering, while the emergence of retrieval enhancement has enabled models to better utilize external information. However, the presence of noise and…

Computation and Language · Computer Science 2024-09-19 Xingyun Hong , Yan Shao , Zhilin Wang , Manni Duan , Jin Xiongnan

A robust estimator for a wide family of mixtures of linear regression is presented. Robustness is based on the joint adoption of the Cluster Weighted Model and of an estimator based on trimming and restrictions. The selected model provides…

Methodology · Statistics 2015-02-05 L. A. Garcia-Escudero , A. Gordaliza , F. Greselin , S. Ingrassia , A. Mayo-Iscar

This paper proposes an orthogonality-constrained modal search (OCMS) method for estimating modal wavenumbers and modal depth functions using a vertical linear array (VLA). Under the assumption of a known sound speed profile, OCMS leverages…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Xiaolei Li , Pengyu Wang , Wenhua Song , Yangjin Xu , Wei Gao

In this paper, the robustness and accuracy of the deep neural network (DNN) was enhanced by introducing the $L_{2,\infty}$ normalization of the weight matrices of the DNN with Relu as the activation function. It is proved that the…

Machine Learning · Statistics 2020-10-13 Lijia Yu , Xiao-Shan Gao

Several recent works have shown that state-of-the-art classifiers are vulnerable to worst-case (i.e., adversarial) perturbations of the datapoints. On the other hand, it has been empirically observed that these same classifiers are…

Machine Learning · Computer Science 2016-09-02 Alhussein Fawzi , Seyed-Mohsen Moosavi-Dezfooli , Pascal Frossard

Designing model-free algorithms for distributionally robust reinforcement learning (DRRL) poses fundamental challenges. The robust Bellman operator is nonlinear in the transition kernel, which makes one-sample Bellman updates biased, while…

Machine Learning · Computer Science 2026-05-12 Shengbo Wang , Zexi Zhang

The massive amount of available data potentially used to discover patters in machine learning is a challenge for kernel based algorithms with respect to runtime and storage capacities. Local approaches might help to relieve these issues.…

Machine Learning · Statistics 2017-03-21 Florian Dumpert

Active Noise Control (ANC) systems are challenged by nonlinear distortions, which degrade the performance of traditional adaptive filters. While deep learning-based ANC algorithms have emerged to address nonlinearity, existing approaches…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-05 Lu Bai , Mengtong Li , Siyuan Lian , Kai Chen , Jing Lu

The Lasso is a prominent algorithm for variable selection. However, its instability in the presence of correlated variables in the high-dimensional setting is well-documented. Although previous research has attempted to address this issue…

Methodology · Statistics 2025-05-28 Mahdi Nouraie , Connor Smith , Samuel Muller

This paper presents an efficient algorithm for robust network reconstruction of Linear Time-Invariant (LTI) systems in the presence of noise, estimation errors and unmodelled nonlinearities. The method here builds on previous work on robust…

Dynamical Systems · Mathematics 2016-11-18 David Hayden , Ye Yuan , Jorge Gonçalves

The validity of estimation and smoothing parameter selection for the wide class of generalized additive models for location, scale and shape (GAMLSS) relies on the correct specification of a likelihood function. Deviations from such…

Methodology · Statistics 2019-11-14 William H. Aeberhard , Eva Cantoni , Giampiero Marra , Rosalba Radice

Dynamical System (DS) based Learning from Demonstration (LfD) allows learning of reactive motion policies with stability and convergence guarantees from a few trajectories. Yet, current DS learning techniques lack the flexibility to…

Robotics · Computer Science 2023-09-06 Tianyu Li , Nadia Figueroa

Practical Active Noise Control (ANC) systems typically require a restriction in their maximum output power, to prevent overdriving the loudspeaker and causing system instability. Recently, the minimum output variance filtered-reference…

Signal Processing · Electrical Eng. & Systems 2023-07-04 Chung Kwan Lai , Dongyuan Shi , Bhan Lam , Woon-Seng Gan

This paper revisits and extends the convergence and robustness properties of value and policy iteration algorithms for discrete-time linear quadratic regulator problems. In the model-based case, we extend current results concerning the…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Bowen Song , Chenxuan Wu , Andrea Iannelli

In recent years numerous methods have been developed to formally verify the robustness of deep neural networks (DNNs). Though the proposed techniques are effective in providing mathematical guarantees about the DNNs behavior, it is not…

Machine Learning · Computer Science 2023-02-01 Debangshu Banerjee , Avaljot Singh , Gagandeep Singh

Regression neural networks (NNs) are most commonly trained by minimizing the mean squared prediction error, which is highly sensitive to outliers and data contamination. Existing robust training methods for regression NNs are often limited…

Machine Learning · Statistics 2026-02-10 Abhik Ghosh , Suryasis Jana

With the increasing use of deep learning on data collected by non-perfect sensors and in non-perfect environments, the robustness of deep learning systems has become an important issue. A common approach for obtaining robustness to noise…

Machine Learning · Computer Science 2023-11-21 Xueqiong Yuan , Jipeng Li , Ercan Engin Kuruoğlu

We study stochastic Volterra equations in Hilbert spaces driven by cylindrical Gaussian noise. We derive a mild formulation for the stochastic Volterra equation, prove the equivalence of mild and strong solutions, the existence and…

Probability · Mathematics 2023-11-14 Luigi Amedeo Bianchi , Stefano Bonaccorsi , Martin Friesen