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Towards understanding the fundamental limits of estimation from data of varied quality, we study the problem of estimating a mean parameter from heteroskedastic Gaussian observations where the variances are unknown and may vary arbitrarily…

Statistics Theory · Mathematics 2026-03-17 Yanjun Han , Abhishek Shetty , Jacob Shkrob

AC State Estimation (ACSE) is widely recognized as a practical approach for determining the grid states in steady-state conditions. It serves as a fundamental analysis to ensure grid security and is a reference for market dispatch. As grid…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Peng Sang , Amritanshu Pandey

While variance reduction methods have shown great success in solving large scale optimization problems, many of them suffer from accumulated errors and, therefore, should periodically require the full gradient computation. In this paper, we…

Machine Learning · Computer Science 2022-10-05 Kazusato Oko , Shunta Akiyama , Tomoya Murata , Taiji Suzuki

In this paper, we consider the energy-bandwidth allocation for a network with multiple broadcast channels, where the transmitters access the network orthogonally on the assigned frequency band and each transmitter communicates with multiple…

Information Theory · Computer Science 2014-10-13 Zhe Wang , Vaneet Aggarwal , Xiaodong Wang

Suppose we have a memory storing $0$s and $1$s and we want to estimate the frequency of $1$s by sampling. We want to do this I/O-efficiently, exploiting that each read gives a block of $B$ bits at unit cost; not just one bit. If the input…

Data Structures and Algorithms · Computer Science 2024-10-21 Shyam Narayanan , Václav Rozhoň , Jakub Tětek , Mikkel Thorup

We consider estimation and inference in a single index regression model with an unknown convex link function. We introduce a convex and Lipschitz constrained least squares estimator (CLSE) for both the parametric and the nonparametric…

Statistics Theory · Mathematics 2021-01-15 Arun K. Kuchibhotla , Rohit K. Patra , Bodhisattva Sen

The small amount of measurements in distribution grids makes their monitoring more difficult. Topological observability may not be possible, and thus, pseudo-measurements are needed to perform state estimation, which is required to control…

Systems and Control · Computer Science 2019-07-24 Miguel Picallo , Adolfo Anta , Bart De Schutter

This paper addresses channel estimation and data equalization on frequency-selective 1-bit quantized Multiple Input-Multiple Output (MIMO) systems. No joint processing or Channel State Information is assumed at the transmitter, and…

Information Theory · Computer Science 2021-03-09 Javier García , Jawad Munir , Kilian Roth , Josef A. Nossek

We study low-rank matrix estimation for a generic inhomogeneous output channel through which the matrix is observed. This generalizes the commonly considered spiked matrix model with homogeneous noise to include for instance the dense…

Probability · Mathematics 2025-04-21 Alice Guionnet , Justin Ko , Florent Krzakala , Lenka Zdeborová

This paper considers the problem of closed-loop identification of linear scalar systems with Gaussian process noise, where the system input is determined by a deterministic state feedback policy. The regularized least-square estimate (LSE)…

Systems and Control · Electrical Eng. & Systems 2020-03-30 Ali Reza Pedram , Takashi Tanaka

This paper considers distributed optimization for minimizing the average of local nonconvex cost functions, by using local information exchange over undirected communication networks. To reduce the required communication capacity, we…

Optimization and Control · Mathematics 2025-03-03 Lei Xu , Xinlei Yi , Jiayue Sun , Yang Shi , Karl H. Johansson , Tao Yang

This paper investigates the energy efficiency (EE) optimization in downlink multi-cell massive multiple-input multiple-output (MIMO). In our research, the statistical channel state information (CSI) is exploited to reduce the signaling…

Information Theory · Computer Science 2021-09-06 Li You , Yufei Huang , Di Zhang , Zheng Chang , Wenjin Wang , Xiqi Gao

Solving the electronic structure problem using the Variational Quantum Eigensolver (VQE) technique involves measurement of the Hamiltonian expectation value. Current hardware can perform only projective single-qubit measurements, and thus,…

Quantum Physics · Physics 2020-04-22 Vladyslav Verteletskyi , Tzu-Ching Yen , Artur F. Izmaylov

We consider optimal design of PDE-based Bayesian linear inverse problems with infinite-dimensional parameters. We focus on the A-optimal design criterion, defined as the average posterior variance and quantified by the trace of the…

Numerical Analysis · Mathematics 2020-04-02 Elizabeth Herman , Alen Alexanderian , Arvind K. Saibaba

In this paper, we consider the sum power minimization problem via jointly optimizing user association, power control, computation capacity allocation and location planning in a mobile edge computing (MEC) network with multiple unmanned…

Information Theory · Computer Science 2019-02-14 Zhaohui Yang , Cunhua Pan , Kezhi Wang , Mohammad Shikh-Bahaei

Most work on wireless network resource allocation use physical layer performance such as sum rate and outage probability as the figure of merit. These metrics may not reflect the true user QoS in future heterogenous networks (HetNets) with…

Information Theory · Computer Science 2016-11-18 Binnan Zhuang , Dongning Guo , Michael L. Honig

The data heterogeneity across devices and the limited communication resources, e.g., bandwidth and energy, are two of the main bottlenecks for wireless federated learning (FL). To tackle these challenges, we first devise a novel FL…

Machine Learning · Computer Science 2023-02-21 Zhixiong Chen , Wenqiang Yi , Arumugam Nallanathan , Geoffrey Ye Li

This paper studies the design and optimization of a limited feedback single-user system with multiple-antenna transmitter and single-antenna receiver. The design problem is cast in form of the minimizing the average transmission power at…

Information Theory · Computer Science 2015-05-18 Behrouz Khoshnevis , Wei Yu

This contribution proposes a recursive set-membership method for the ellipsoidal state characterization for discrete-time linear time-varying models with additive unknown disturbances vectors, bounded by possibly degenerate zonotopes and…

Systems and Control · Electrical Eng. & Systems 2023-09-15 Yasmina Becis-Aubry

This paper proposes to maximize the accuracy of a distributed machine learning (ML) model trained on learners connected via the resource-constrained wireless edge. We jointly optimize the number of local/global updates and the task size…

Signal Processing · Electrical Eng. & Systems 2021-02-23 Umair Mohammad , Sameh Sorour , Mohamed Hefeida
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