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We consider the problem of finding optimal piecewise constant approximations of one-dimensional signals. These approximations should consist of a specified number of segments (samples) and minimise the mean squared error to the original…

Signal Processing · Electrical Eng. & Systems 2019-06-12 Leif Bergerhoff , Joachim Weickert , Yehuda Dar

Calibration of a typical radio interferometric array yields thousands of parameters as solutions. These solutions contain valuable information about the systematic errors in the data (ionosphere and beam shape). This information could be…

Instrumentation and Methods for Astrophysics · Physics 2018-01-31 Sarod Yatawatta

In distributed optimization problems, a technique called gradient coding, which involves replicating data points, has been used to mitigate the effect of straggling machines. Recent work has studied approximate gradient coding, which…

Machine Learning · Statistics 2021-08-09 Margalit Glasgow , Mary Wootters

Efficiency of self-optimizing systems is heavily dependent on their optimization strategies, e.g., choosing exact or approximate solver. A choice of such a strategy, in turn, is influenced by numerous factors, such as re-optimization time,…

Machine Learning · Computer Science 2019-09-10 Dmytro Pukhkaiev , Uwe Aßmann

In this paper, we propose new learning algorithms for approximating high-dimensional functions using tree tensor networks in a least-squares setting. Given a dimension tree or architecture of the tensor network, we provide an algorithm that…

Numerical Analysis · Mathematics 2021-04-29 Cécile Haberstich , Anthony Nouy , Guillaume Perrin

This paper establishes a nearly optimal algorithm for estimating the frequencies and amplitudes of a mixture of sinusoids from noisy equispaced samples. We derive our algorithm by viewing line spectral estimation as a sparse recovery…

Information Theory · Computer Science 2013-04-02 Gongguo Tang , Badri Narayan Bhaskar , Benjamin Recht

Experimental designs that are minimax in the presence of model misspecifications have been constructed so as to minimize the maximum, over classes of alternate response models, of the integrated mean squared error of the predicted values.…

Statistics Theory · Mathematics 2026-04-27 Rui Hu , Douglas P. Wiens

Distributed Stream Processing (DSP) focuses on the near real-time processing of large streams of unbounded data. To increase processing capacities, DSP systems are able to dynamically scale across a cluster of commodity nodes, ensuring a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-05 Morgan Geldenhuys , Dominik Scheinert , Odej Kao , Lauritz Thamsen

Phasor measurement units (PMUs) have the advantage of providing direct measurements of power states. However, as the number of PMUs in a power system is limited, the traditional supervisory control and data acquisition (SCADA) system cannot…

Systems and Control · Computer Science 2016-07-12 Jian Du , Shaodan Ma , Yik-Chung Wu , H. Vincent Poor

Quantization is essential for Neural Network (NN) compression, reducing model size and computational demands by using lower bit-width data types, though aggressive reduction often hampers accuracy. Mixed Precision (MP) mitigates this…

Machine Learning · Computer Science 2025-05-20 Shmulik Markovich-Golan , Daniel Ohayon , Itay Niv , Yair Hanani

Massive MIMO (Multiple-Input Multiple-Output) is a key enabler for 5G and future wireless systems, boosting channel capacity, energy efficiency, and spectral efficiency. However, high power consumption and hardware costs of…

Optimization and Control · Mathematics 2025-12-08 Jie Zhang , Huifu Xu

Machine learning algorithms have been used widely in various applications and areas. To fit a machine learning model into different problems, its hyper-parameters must be tuned. Selecting the best hyper-parameter configuration for machine…

Machine Learning · Computer Science 2022-10-06 Li Yang , Abdallah Shami

We consider the problem of fitting the parameters of a high-dimensional linear regression model. In the regime where the number of parameters $p$ is comparable to or exceeds the sample size $n$, a successful approach uses an…

Statistics Theory · Mathematics 2013-11-04 Adel Javanmard , Andrea Montanari

Applying deep neural networks (DNNs) in mobile and safety-critical systems, such as autonomous vehicles, demands a reliable and efficient execution on hardware. Optimized dedicated hardware accelerators are being developed to achieve this.…

Machine Learning · Computer Science 2019-10-01 Christoph Schorn , Thomas Elsken , Sebastian Vogel , Armin Runge , Andre Guntoro , Gerd Ascheid

In this work, we initiate a thorough study of parameterized graph optimization problems in the distributed setting. In a parameterized problem, an algorithm decides whether a solution of size bounded by a \emph{parameter} $k$ exists and if…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-07 Ran Ben-Basat , Ken-ichi Kawarabayashi , Gregory Schwartzman

We consider the problem of parameter estimation in a high-dimensional generalized linear model. Spectral methods obtained via the principal eigenvector of a suitable data-dependent matrix provide a simple yet surprisingly effective…

Statistics Theory · Mathematics 2025-07-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

The conventional solutions for fault-detection, identification, and reconstruction (FDIR) require centralized decision-making mechanisms which are typically combinatorial in their nature, necessitating the design of an efficient distributed…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Shiraz Khan , Inseok Hwang

Approximate dynamic programming (ADP) has proven itself in a wide range of applications spanning large-scale transportation problems, health care, revenue management, and energy systems. The design of effective ADP algorithms has many…

Optimization and Control · Mathematics 2014-07-15 Ilya O. Ryzhov , Peter I. Frazier , Warren B. Powell

We study the properties of nonparametric least squares regression using deep neural networks. We derive non-asymptotic upper bounds for the prediction error of the empirical risk minimizer of feedforward deep neural regression. Our error…

Statistics Theory · Mathematics 2023-01-18 Yuling Jiao , Guohao Shen , Yuanyuan Lin , Jian Huang

This work presents joint iterative power allocation and interference suppression algorithms for spread spectrum networks which employ multiple hops and the amplify-and-forward cooperation strategy for both the uplink and the downlink. We…

Information Theory · Computer Science 2013-01-03 Rodrigo C. de Lamare