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The goal of this paper is to propose novel strategies for adaptive learning of signals defined over graphs, which are observed over a (randomly time-varying) subset of vertices. We recast two classical adaptive algorithms in the graph…

机器学习 · 计算机科学 2018-08-01 Paolo Di Lorenzo , Paolo Banelli , Elvin Isufi , Sergio Barbarossa , Geert Leus

Radar systems typically employ well-designed deterministic signals for target sensing. In contrast to that, integrated sensing and communications (ISAC) systems have to use random signals to convey useful information, potentially causing…

信号处理 · 电气工程与系统科学 2024-01-17 Shihang Lu , Fan Liu , Fuwang Dong , Yifeng Xiong , Jie Xu , Ya-Feng Liu

Level crossing rate (LCR) is a well-known statistical tool that is related to the duration of a random stationary fading process \emph{on average}. In doing so, LCR cannot capture the behavior of \emph{extremely rare} random events.…

Conventional compressed sensing (CS) algorithms typically apply a uniform sampling rate to different image blocks. A more strategic approach could be to allocate the number of measurements adaptively, based on each image block's complexity.…

计算机视觉与模式识别 · 计算机科学 2024-02-28 Yujun Huang , Bin Chen , Naiqi Li , Baoyi An , Shu-Tao Xia , Yaowei Wang

This paper introduces a novel adaptive framework for processing dynamic flow signals over simplicial complexes, extending classical least-mean-squares (LMS) methods to high-order topological domains. Building on discrete Hodge theory, we…

信号处理 · 电气工程与系统科学 2025-05-30 Lorenzo Marinucci , Claudio Battiloro , Paolo Di Lorenzo

Sensor placement plays a crucial role in graph signal recovery in underdetermined systems. In this paper, we present the graph-filtered regularized maximum likelihood (GFR-ML) estimator of graph signals, which integrates general graph…

信号处理 · 电气工程与系统科学 2025-08-19 Lital Dabush , Tirza Routtenberg

Sampling theories lie at the heart of signal processing devices and communication systems. To accommodate high operating rates while retaining low computational cost, efficient analog-to digital (ADC) converters must be developed. Many of…

信息论 · 计算机科学 2010-10-12 Moslem Rashidi

Broadband signal transmission over frequency-selective fading channel often requires accurate channel state information at receiver. One of the most attracting adaptive channel estimation methods is least mean square (LMS) algorithm.…

信息论 · 计算机科学 2013-04-16 Guan Gui , Abolfazl Mehbodniya , Fumiyuki Adachi

In this work, we consider the acquisition of stationary signals using uniform analog-to-digital converters (ADCs), i.e., employing uniform sampling and scalar uniform quantization. We jointly optimize the pre-sampling and reconstruction…

信息论 · 计算机科学 2022-05-12 Peter Neuhaus , Nir Shlezinger , Meik Dörpinghaus , Yonina C. Eldar , Gerhard Fettweis

We present a novel method for tuning the regularization hyper-parameter, $\lambda$, of a ridge regression that is faster to compute than leave-one-out cross-validation (LOOCV) while yielding estimates of the regression parameters of equal,…

机器学习 · 统计学 2023-11-06 Shu Yu Tew , Mario Boley , Daniel F. Schmidt

The aim of this paper is to propose a least mean squares (LMS) strategy for adaptive estimation of signals defined over graphs. Assuming the graph signal to be band-limited, over a known bandwidth, the method enables reconstruction, with…

机器学习 · 计算机科学 2016-11-17 Paolo Di Lorenzo , Sergio Barbarossa , Paolo Banelli , Stefania Sardellitti

The least mean-square (LMS) filter is one of the most common adaptive linear estimation algorithms. In many practical scenarios, and particularly in digital communications systems, the signal of interest (SOI) and the input signal are…

系统与控制 · 计算机科学 2018-11-28 Nir Shlezinger , Koby Todros

The sampling efficiency of MCMC methods in Bayesian inference for stochastic volatility (SV) models is known to highly depend on the actual parameter values, and the effectiveness of samplers based on different parameterizations varies…

统计计算 · 统计学 2019-12-02 Darjus Hosszejni , Gregor Kastner

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

统计方法学 · 统计学 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick

This paper presents an advancement to an approach for model-independent surrogate-based optimization with adaptive batch sampling, known as Adaptive Model Refinement (AMR). While the original AMR method provides unique decisions with…

最优化与控制 · 数学 2019-06-04 Payam Ghassemi , Sumeet Sanjay Lulekar , Souma Chowdhury

This paper presents a fully integrated second-order level-crossing sampling data converter for real-time data compression and feature extraction. Compared with level-sampling ADCs which sample at fixed voltage levels, the proposed circuits…

信号处理 · 电气工程与系统科学 2022-12-20 Mario Renteria-Pinon , Xiaochen Tang , Jaime Ramirez-Angulo , Wei Tang

Many machine learning problems optimize an objective that must be measured with noise. The primary method is a first order stochastic gradient descent using one or more Monte Carlo (MC) samples at each step. There are settings where…

机器学习 · 计算机科学 2021-04-22 Sifan Liu , Art B. Owen

We consider the problem of recovering random graph signals from nonlinear measurements. For this case, closed-form Bayesian estimators are usually intractable and even numerical evaluation of these estimators may be hard to compute for…

信号处理 · 电气工程与系统科学 2022-06-23 Ariel Kroizer , Tirza Routtenberg , Yonina C. Eldar

Existing multilevel quasi-Monte Carlo (MLQMC) methods often rely on multiple independent randomizations of a low-discrepancy (LD) sequence to estimate statistical errors on each level. While this approach is standard, it can be less…

This paper considers mean square error (MSE) analysis for stochastic gradient sampling algorithms applied to underdamped Langevin dynamics under a global convexity assumption. A novel discrete Poisson equation framework is developed to…

数值分析 · 数学 2025-11-07 Jianfeng Lu , Xuda Ye , Zhennan Zhou
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