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We analyze a simple prefiltered variation of the least squares estimator for the problem of estimation with biased, semi-parametric noise, an error model studied more broadly in causal statistics and active learning. We prove an oracle…

机器学习 · 计算机科学 2019-02-05 Max Simchowitz , Ross Boczar , Benjamin Recht

In this paper we consider the issue of reliability of measurements in distributed adaptive estimation problem. To this aim, we assume a sensor network with different observation noise variance among the sensors and propose new estimation…

系统与控制 · 计算机科学 2015-07-27 Wael M. Bazzi , Amir Rastegarnia , Azam Khalili

Instead of minimizing the sum of all $n$ squared residuals as the classical least squares (LS) does, Rousseeuw (1984) proposed to minimize the sum of $h$ ($n/2 \leq h < n$) smallest squared residuals, the resulting estimator is called least…

统计计算 · 统计学 2022-10-13 Yijun Zuo

This paper develops the non-intrusive formulation of the Least-squares shadowing (LSS) method, for computing the sensitivity of long-time averaged objectives in chaotic dynamical systems. This non-intrusive formulation constrains the…

计算物理 · 物理学 2019-06-26 Angxiu Ni , Qiqi Wang

The fused lasso is an important method for signal processing when the hidden signals are sparse and blocky. It is often used in combination with the squared loss function. However, the squared loss is not suitable for heavy tail error…

统计方法学 · 统计学 2021-05-04 Xiaoli Gao

For systems and devices, such as cognitive radio and networks, that need to be aware of available frequency bands, spectrum sensing has an important role. A major challenge in this area is the requirement of a high sampling rate in the…

信息论 · 计算机科学 2014-08-21 M. R. Avendi , K. Haghighi , A. Panahi , M. Viberg

In this paper, we propose deep partial least squares for the estimation of high-dimensional nonlinear instrumental variable regression. As a precursor to a flexible deep neural network architecture, our methodology uses partial least…

统计方法学 · 统计学 2023-06-06 Maria Nareklishvili , Nicholas Polson , Vadim Sokolov

This paper investigates system identification problems with Gaussian inputs and quantized observations under fixed thresholds. By reinterpreting the nonlinear effects induced by quantization as the product of the unknown parameter and an…

最优化与控制 · 数学 2025-10-20 Xingrui Liu , Ying Wang , Yanlong Zhao

This paper presents a novel efficient method for gridless line spectrum estimation problem with single snapshot, namely the gradient descent least squares (GDLS) method. Conventional single snapshot (a.k.a. single measure vector or SMV)…

信号处理 · 电气工程与系统科学 2023-07-19 Ruizhe Shi , Zhe Zhang , Xiaolan Qiu , Chibiao Ding

High data rates require vast bandwidths, that can be found in the sub-THz band, and high sampling frequencies, which are predicted to lead to a problematically high analog-to-digital converter (ADC) power consumption. It was proposed to use…

信号处理 · 电气工程与系统科学 2023-09-13 Florian Gast , Stephan Zeitz , Meik Dörpinghaus , Gerhard P. Fettweis

Phase noise correction is crucial to exploit full advantage of orthogonal frequency division multiplexing (OFDM) in modern high-data-rate communications. OFDM channel estimation with simultaneous phase noise compensation has therefore drawn…

信息论 · 计算机科学 2017-04-25 Zhongju Wang , Prabhu Babu , Daniel P. Palomar

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

机器学习 · 计算机科学 2019-02-05 Y. Yu , H. Zhao , R. C. de Lamare , Y. Zakharov , L. Lu

Existing algorithms for fitting the parameters of a sinusoid to noisy discrete time observations are not always successful due to initial value sensitivity and other issues. This paper demonstrates the techniques of FIR filtering, Fast…

综合数学 · 数学 2012-08-27 Francis J. O'Brien, , Nathan Johnnie

Linear Least Squares is a very well known technique for parameter estimation, which is used even when sub-optimal, because of its very low computational requirements and the fact that exact knowledge of the noise statistics is not required.…

信号处理 · 电气工程与系统科学 2017-11-01 Michael Krikheli , Amir Leshem

In this research, a novel adaptive filtering algorithm is proposed for complex domain signal processing. The proposed algorithm is based on Wirtinger calculus and is called as q-Complex Least Mean Square (q-CLMS) algorithm. The proposed…

Partial diffusion-based recursive least squares (PDRLS) is an effective method for reducing computational load and power consumption in adaptive network implementation. In this method, each node shares a part of its intermediate estimate…

分布式、并行与集群计算 · 计算机科学 2016-07-20 Vahid Vahidpour , Amir Rastegarnia , Azam Khalili , Saeid Sanei

An interference-normalised least mean square (INLMS) algorithm for robust adaptive filtering is proposed. The INLMS algorithm extends the gradient-adaptive learning rate approach to the case where the signals are non-stationary. In…

系统与控制 · 计算机科学 2016-02-29 Jean-Marc Valin , Iain B. Collings

The autocovariance least squares (ALS) method is a computationally efficient approach for estimating noise covariances in Kalman filters without requiring specific noise models. However, conventional ALS and its variants rely on the classic…

最优化与控制 · 数学 2026-03-10 Jiahong Li , Fang Deng

A heuristic procedure based on novel recursive formulation of sinusoid (RFS) and on regression with predictive least-squares (LS) enables to decompose both uniformly and nonuniformly sampled 1-d signals into a sparse set of sinusoids (SSS).…

信息论 · 计算机科学 2017-04-13 Ivan Maric

Frequency estimation is a fundamental problem in signal processing, with applications in radar imaging, underwater acoustics, seismic imaging, and spectroscopy. The goal is to estimate the frequency of each component in a multisinusoidal…

机器学习 · 计算机科学 2021-02-04 Gautier Izacard , Sreyas Mohan , Carlos Fernandez-Granda