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Partial Least Square (PLS) is a dimension reduction method used to remove multicollinearities in a regression model. However contrary to Principal Components Analysis (PCA) the PLS components are also choosen to be optimal for predicting…

Statistics Theory · Mathematics 2014-05-26 Mélanie Blazère , Fabrice Gamboa , Jean-Michel Loubes

This paper introduces an efficient Residual Reinforcement Learning (RRL) framework for voltage control in active distribution grids. Voltage control remains a critical challenge in distribution grids, where conventional Reinforcement…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Sarra Bouchkati , Ramil Sabirov , Steffen Kortmann , Andreas Ulbig

New recursive least squares algorithms with rank two updates (RLSR2) that include both exponential and instantaneous forgetting (implemented via a proper choice of the forgetting factor and the window size) are introduced and systematically…

Optimization and Control · Mathematics 2025-07-16 Alexander Stotsky

Accurate localization of non-cooperative signal sources in non-line-of-sight (NLoS) environments remains a critical challenge with a wide range of applications, including autonomous navigation, industrial automation, and emergency response.…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Xiucheng Wang , Qiming Zhang , Nan Cheng

Distributional reinforcement learning (DRL) enhances the understanding of the effects of the randomness in the environment by letting agents learn the distribution of a random return, rather than its expected value as in standard RL. At the…

Optimization and Control · Mathematics 2023-03-27 Zifan Wang , Yulong Gao , Siyi Wang , Michael M. Zavlanos , Alessandro Abate , Karl H. Johansson

Channel estimation is one of the main tasks in realizing practical intelligent reflecting surface-assisted multi-user communication (IRS-MC) systems. However, different from traditional communication systems, an IRS-MC system generally…

Signal Processing · Electrical Eng. & Systems 2021-08-03 Chang Liu , Xuemeng Liu , Derrick Wing Kwan Ng , Jinhong Yuan

Penalized estimation methods for diffusion processes and dependent data have recently gained significant attention due to their effectiveness in handling high-dimensional stochastic systems. In this work, we introduce an adaptive…

Statistics Theory · Mathematics 2024-12-24 Alessandro De Gregorio , Dario Frisardi , Francesco Iafrate , Stefano Iacus

Due to the curse of dimensionality and the limitation on training data, approximating high-dimensional functions is a very challenging task even for powerful deep neural networks. Inspired by the Nonlinear Level set Learning (NLL) method…

Machine Learning · Computer Science 2021-12-03 Yuankai Teng , Zhu Wang , Lili Ju , Anthony Gruber , Guannan Zhang

This work presents a distributed method for control centers to monitor the operating condition of a power network, i.e., to estimate the network state, and to ultimately determine the occurrence of threatening situations. State estimation…

Optimization and Control · Mathematics 2011-07-13 Fabio Pasqualetti , Ruggero Carli , Francesco Bullo

Distributional reinforcement learning (DRL) extends the value-based approach by approximating the full distribution over future returns instead of the mean only, providing a richer signal that leads to improved performances. Quantile…

Machine Learning · Statistics 2022-02-23 Alix Lhéritier , Nicolas Bondoux

Recently, many studies have shed light on the high adaptivity of deep neural network methods in nonparametric regression models, and their superior performance has been established for various function classes. Motivated by this…

Statistics Theory · Mathematics 2023-07-04 Akihiro Oga , Yuta Koike

This paper proposes a unified sparsity-aware robust recursive least-squares RLS (S-RRLS) algorithm for the identification of sparse systems under impulsive noise. The proposed algorithm generalizes multiple algorithms only by replacing the…

Signal Processing · Electrical Eng. & Systems 2022-05-11 Y. Yu , L. Lu , Y. Zakharov , R. C. de Lamare , B. Chen

In this article, we consider diffusion approximations for a general class of stochastic recursions. Such recursions arise as models for population growth, genetics, financial securities, multiplicative time series, numerical schemes and…

Probability · Mathematics 2016-01-13 David Kelly

We study high-dimensional rank regression when data are distributed across multiple machines and the loss is a non-additive U-statistic, as in convoluted rank regression (CRR). Classical communication-efficient surrogate likelihood (CSL)…

Methodology · Statistics 2026-02-05 Wen Zhang , Liping Zhu , Songshan Yang

Spherical deconvolution is a widely used approach to quantify fiber orientation distribution from diffusion MRI data. The damped Richardson-Lucy (dRL) is developed to perform robust spherical deconvolution on single shell diffusion MRI…

Medical Physics · Physics 2020-06-22 Fenghua Guo , Alexander Leemans , Max A. Viergever , Flavio Dell'Acqua , Alberto De Luca

We study the problem of exact support recovery based on noisy observations and present Refined Least Squares (RLS). Given a set of noisy measurement $$ \myvec{y} = \myvec{X}\myvec{\theta}^* + \myvec{\omega},$$ and $\myvec{X} \in…

Statistics Theory · Mathematics 2021-03-22 Ofir Lindenbaum , Stefan Steinerberger

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

This paper proposes a distributed alternating mixed discrete-continuous (DAMDC) algorithm to approach the oracle algorithm based on the diffusion strategy for parameter and spectrum estimation over sensor networks. A least mean squares…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-12 R. C. de Lamare

The increasing deployment of distribution-level phasor measurement units (PMUs) calls for dynamic distribution state estimation (DDSE) approaches that tap into high-rate measurements to maintain a comprehensive view of the…

Optimization and Control · Mathematics 2020-01-09 Jianhan Song , Emiliano Dall'Anese , Andrea Simonetto , Hao Zhu

Flow and Diffusion Distributed Structures (FDS) are stationary spatially periodic patterns that can be observed in reaction-diffusion-advection systems. These structures arise when the flow rate exceeds a certain bifurcation point provided…

Pattern Formation and Solitons · Physics 2007-11-19 Pavel V. Kuptsov , Razvan A. Satnoianu