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The next generation of weak lensing surveys will measure the matter distribution of the local Universe with unprecedented precision, allowing the resolution of non-Gaussian features of the convergence field. This encourages the use of…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-17 Dominik Zürcher , Janis Fluri , Virginia Ajani , Silvan Fischbacher , Alexandre Refregier , Tomasz Kacprzak

Field-level inference is emerging as a promising technique for optimally extracting information from cosmological datasets. Indeed, previous analyses have shown field-based inference produces tighter parameter constraints than power…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-04 Supranta S. Boruah , Eduardo Rozo

The mathematical formulation of sign-changing problems involves a linear second-order partial differential equation in the divergence form, where the coefficient can assume positive and negative values in different subdomains. These…

Numerical Analysis · Mathematics 2026-05-19 Eric T. Chung , Patrick Ciarlet , Xingguang Jin , Changqing Ye

We study the problem of estimating a random process from the observations collected by a network of sensors that operate under resource constraints. When the dynamics of the process and sensor observations are described by a state-space…

Signal Processing · Electrical Eng. & Systems 2018-07-24 Abolfazl Hashemi , Mahsa Ghasemi , Haris Vikalo , Ufuk Topcu

Limited measurement availability at the distribution grid presents challenges for state estimation and situational awareness. This paper combines the advantages of two sparsity-based state estimation approaches (matrix completion and…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Shweta Dahale , Balasubramaniam Natarajan

Power system state estimation (PSSE) is commonly formulated as weighted least-square (WLS) algorithm and solved using iterative methods such as Gauss-Newton methods. However, iterative methods have become more sensitive to system operating…

Systems and Control · Electrical Eng. & Systems 2021-01-12 Narayan Bhusal , Raj Mani Shukla , Mukesh Gautam , Mohammed Benidris , Shamik Sengupta

This article seeks to advance coded compressed sensing (CCS) as a practical scheme for unsourced random access. The original CCS algorithm features a concatenated structure where an inner code is tasked with support recovery, and an outer…

Information Theory · Computer Science 2020-10-23 Jamison R. Ebert , Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

Energy load balancing is an essential issue in designing wireless sensor networks (WSNs). Clustering techniques are utilized as energy-efficient methods to balance the network energy and prolong its lifetime. In this paper, we propose an…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Botao Zhu , Ebrahim Bedeer , Ha H. Nguyen , Robert Barton , Jerome Henry

Design of cyber-physical systems (CPSs) is a challenging task that involves searching over a large search space of various CPS configurations and possible values of components composing the system. Hence, there is a need for…

Machine Learning · Computer Science 2020-09-28 Prerit Terway , Kenza Hamidouche , Niraj K. Jha

This paper proposes an approach based on graph theory and combinatorial enumeration for sizing of movable energy resources (MERs) to improve the resilience of the electric power supply. The proposed approach determines the size and number…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Mukesh Gautam , Eliza Hotchkiss , Mohammed Ben-Idris

In this work, we employ the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) to solve the problem of linear heterogeneous poroelasticity with coefficients of high contrast. The proposed method makes use…

Numerical Analysis · Mathematics 2019-09-04 Shubin Fu , Robert Altmann , Eric T. Chung , Roland Maier , Daniel Peterseim , Sai-Mang Pun

Modeling of Li-ion cells is used in battery management systems (BMS) to determine key states such as state-of-charge (SoC), state-of-health (SoH), etc. Accurate models are also useful in developing a cell-level digital-twin that can be used…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Abhijit Kulkarni , Ahsan Nadeem , Roberta Di Fonso , Yusheng Zheng , Remus Teodorescu

Equi-Energy Sampling (EES, for short) is a method to speed up the convergence of the Metropolis chain, when the latter is slow. We show that there are still models like the mean-field Potts model, where EES does not converge rapidly in…

Probability · Mathematics 2020-04-22 Mirko Ebbers , Matthias Löwe

Markov chain Monte Carlo (MCMC) methods require a large number of samples to approximate a posterior distribution, which can be costly when the likelihood or prior is expensive to evaluate. The number of samples can be reduced if we can…

Computation · Statistics 2019-08-06 V. Roshan Joseph , Dianpeng Wang , Li Gu , Shiji Lv , Rui Tuo

Developing a unified small-signal model for modern, large-scale power systems that remains accurate across a wide range of operating ranges presents a formidable challenge. Traditional methods, spanning mechanistic modeling, modal…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Weicheng Liu , Di Liu , Songyan Zhang , Chao Lu

We propose novel less diffusive schemes for conservative one- and two-dimensional hyperbolic systems of nonlinear partial differential equations (PDEs). The main challenges in the development of accurate and robust numerical methods for the…

Numerical Analysis · Mathematics 2022-11-09 Alina Chertock , Shaoshuai Chu , Michael Herty , Alexander Kurganov , Maria Lukacova-Medvidova

In this paper, we study a new type of clustering problem, called {\em Chromatic Clustering}, in high dimensional space. Chromatic clustering seeks to partition a set of colored points into groups (or clusters) so that no group contains…

Computational Geometry · Computer Science 2012-09-13 Hu Ding , Jinhui Xu

Generating realistic time series samples is crucial for stress-testing models and protecting user privacy by using synthetic data. In engineering and safety-critical applications, these samples must meet certain hard constraints that are…

Machine Learning · Computer Science 2025-10-31 Sai Shankar Narasimhan , Shubhankar Agarwal , Litu Rout , Sanjay Shakkottai , Sandeep P. Chinchali

We consider the detection of a correlated random process immersed in noise in a wireless sensor network. Each node has an individual energy constraint and the communication with the processing central units are affected by the path loss…

Information Theory · Computer Science 2015-09-15 Juan Augusto Maya , Cecilia G. Galarza , Leonardo Rey Vega

Complex, interconnected Cyber-physical Systems (CPS) are increasingly common in applications including smart grids and transportation. Ensuring safety of interconnected systems whose dynamics are coupled is challenging because the effects…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Abdullah Al Maruf , Luyao Niu , Andrew Clark , J. Sukarno Mertoguno , Radha Poovendran
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