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An algorithm is said to be adaptive to a certain parameter (of the problem) if it does not need a priori knowledge of such a parameter but performs competitively to those that know it. This dissertation presents our work on adaptive…

机器学习 · 计算机科学 2023-07-10 Zhenxun Zhuang

We propose a distributed algorithm for time synchronization in mobile wireless sensor networks. Each node can employ the algorithm to estimate the global time based on its local clock time. The problem of time synchronization is formulated…

系统与控制 · 计算机科学 2014-12-30 Chenda Liao , Prabir Barooah

Stochastic Gradient Descent (SGD) is the workhorse algorithm of deep learning technology. At each step of the training phase, a mini batch of samples is drawn from the training dataset and the weights of the neural network are adjusted…

无序系统与神经网络 · 物理学 2022-09-07 Francesca Mignacco , Pierfrancesco Urbani

In the present paper we consider Laplace deconvolution for discrete noisy data observed on the interval whose length may increase with a sample size. Although this problem arises in a variety of applications, to the best of our knowledge,…

统计理论 · 数学 2013-01-15 Felix Abramovich , Marianna Pensky , Yves Rozenholc

The time of arrival (TOA)-based localization techniques, which need to estimate the delay of the line-of-sight (LoS) path, have been widely employed in location-aware networks. To achieve a high-accuracy delay estimation, a number of…

信号处理 · 电气工程与系统科学 2022-06-22 Yubo Wan , An Liu , Qiyu Hu , Mianyi Zhang , Yunlong Cai

This paper considers the problem of asynchronous stochastic nonconvex optimization with heavy-tailed gradient noise and arbitrarily heterogeneous computation times across workers. We propose an asynchronous normalized stochastic gradient…

最优化与控制 · 数学 2026-01-28 Yidong Wu , Luo Luo

This paper describes a methodology for detecting anomalies from sequentially observed and potentially noisy data. The proposed approach consists of two main elements: (1) {\em filtering}, or assigning a belief or likelihood to each…

机器学习 · 计算机科学 2016-11-17 Maxim Raginsky , Rebecca Willett , Corinne Horn , Jorge Silva , Roummel Marcia

We consider a setting in which $N$ agents aim to speedup a common Stochastic Approximation (SA) problem by acting in parallel and communicating with a central server. We assume that the up-link transmissions to the server are subject to…

This paper introduces two new algorithms to accurately estimate the process noise covariance of a discrete-time Kalman filter online for robust orbit determination in the presence of dynamics model uncertainties. Common orbit determination…

信号处理 · 电气工程与系统科学 2021-05-17 Nathan Stacey , Simone D'Amico

Quantum-phase-estimation algorithms are critical subroutines in many applications for quantum computers and in quantum-metrology protocols. These algorithms estimate the unknown strength of a unitary evolution. By using coherence or…

量子物理 · 物理学 2023-03-06 Joseph G. Smith , Crispin H. W. Barnes , David R. M. Arvidsson-Shukur

Asynchronous stochastic gradient descent (SGD) enables scalable distributed training but suffers from gradient staleness. Existing mitigation strategies, such as delay-adaptive learning rates and staleness-aware filtering, typically…

机器学习 · 计算机科学 2026-05-15 Tehila Dahan , Roie Reshef , Sharon Goldstein , Kfir Y. Levy

We propose here a method to estimate a delay from a time series taking advantage of analysis of random walks with delay. This method is applicable to a time series coming out of a system which is or can be approximated as a linear feedback…

统计力学 · 物理学 2009-10-30 Toru Ohira , Ryusuke Sawatari

We present a theoretical analysis of some popular adaptive Stochastic Gradient Descent (SGD) methods in the small learning rate regime. Using the stochastic modified equations framework introduced by Li et al., we derive effective…

机器学习 · 统计学 2025-09-29 Luca Callisti , Marco Romito , Francesco Triggiano

Time delay is ubiquitous in many experimental and real-world situations. It is often unclear whether time delay plays a significant role in observed phenomena, and if it does, how long the time lag really is. This would be invaluable…

数据分析、统计与概率 · 物理学 2025-12-10 Robin A. Kopp , Sabine H. L. Klapp , Deepak Gupta

Stochastic gradient methods (SGMs) are predominant approaches for solving stochastic optimization. On smooth nonconvex problems, a few acceleration techniques have been applied to improve the convergence rate of SGMs. However, little…

最优化与控制 · 数学 2021-12-24 Yangyang Xu , Yibo Xu , Yonggui Yan , Jie Chen

Signal dimension, defined here as the number of copies with different delays or angular shifts, is a prerequisite for many high-resolution delay estimation and direction-finding algorithms in sensing and communication systems. Thus,…

信号处理 · 电气工程与系统科学 2025-08-15 Yugang Ma , Yonghong Zeng , Sumei Sun , Gary Lee , Ernest Kurniawan , Francois Chin Po Shin

This study proposes a deep learning model that effectively suppresses the false alarms in the intensive care units (ICUs) without ignoring the true alarms using single- and multimodal biosignals. Most of the current work in the literature…

定量方法 · 定量生物学 2020-07-01 Sajad Mousavi , Atiyeh Fotoohinasab , Fatemeh Afghah

Accurate detection and diagnosis of abnormal behaviors such as network attacks from multivariate time series (MTS) are crucial for ensuring the stable and effective operation of industrial cyber-physical systems (CPS). However, existing…

机器学习 · 计算机科学 2024-03-06 Haili Sun , Yan Huang , Lansheng Han , Cai Fu , Chunjie Zhou

This paper presents a methodology for using varying sample sizes in sequential quadratic programming (SQP) methods for solving equality constrained stochastic optimization problems. The first part of the paper deals with the delicate issue…

最优化与控制 · 数学 2023-03-23 Albert S. Berahas , Raghu Bollapragada , Baoyu Zhou

We propose a stochastic optimization method for minimizing loss functions, expressed as an expected value, that adaptively controls the batch size used in the computation of gradient approximations and the step size used to move along such…

机器学习 · 计算机科学 2020-03-04 Achraf Bahamou , Donald Goldfarb