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In quantum multi-parameter estimation, the precision of estimating unknown parameters is bounded by the Cramer-Rao bound (CRB), defined via the inverse of the Fisher information matrix (FIM). However, in certain scenarios such as…

Quantum Physics · Physics 2025-11-18 Min Namkung , Changhyoup Lee , Hyang-Tag Lim

The quality of numerical reconstructions for unknown parameters in inverse problems depends fundamentally on the selection of experimental data. To ensure a robust reconstruction, it is crucial to select data that are sensitive to the…

Numerical Analysis · Mathematics 2026-04-14 Kathrin Hellmuth , Christian Klingenberg , Qin Li

We describe a method for forecasting errors in interferometric measurements of polarization of the cosmic microwave background (CMB) radiation, based on the use of the Fisher matrix calculated from the visibility covariance and relation…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-27 Haonan Liu , Emory F. Bunn

The Fisher information matrix (FIM) is fundamental to understanding the trainability of deep neural nets (DNN), since it describes the parameter space's local metric. We investigate the spectral distribution of the conditional FIM, which is…

Machine Learning · Statistics 2021-03-31 Tomohiro Hayase , Ryo Karakida

We present a toolbox of new techniques and concepts for the efficient forecasting of experimental sensitivities. These are applicable to a large range of scenarios in (astro-)particle physics, and based on the Fisher information formalism.…

Instrumentation and Methods for Astrophysics · Physics 2018-02-28 Thomas D. P. Edwards , Christoph Weniger

Lithium-ion (Li-ion) batteries are ubiquitous in modern energy storage systems, highlighting the critical need to comprehend and optimize their performance. Yet, battery models often exhibit poor parameter identifiability which hinders the…

Systems and Control · Electrical Eng. & Systems 2024-06-14 Jorge Espin , Yuichi Kajiura , Dong Zhang

This paper addresses the problem of optimal control of robotic sensing systems aimed at autonomous information gathering in scenarios such as environmental monitoring, search and rescue, and surveillance and reconnaissance. The information…

Systems and Control · Computer Science 2016-01-28 Mikko Lauri , Nikolay Atanasov , George J. Pappas , Risto Ritala

The Fisher matrix formalism has in recent times become the standard method for predicting the precision with which various cosmological parameters can be extracted from future data. This approach is fast, and generally returns accurate…

In this paper, we extend our method [1] for FMCW radar mutual interference mitigation (IM) based on the discrete fractional Fourier transform (DFrFT). Firstly, we propose a radar signal processing chain including our DFrFT-based IM for…

Signal Processing · Electrical Eng. & Systems 2026-05-01 Christian Oswald , Josef Kulmer , Franz Pernkopf

In recent years forecasting activities have become a very important tool for designing and optimising large scale structure surveys. To predict the performance of such surveys, the Fisher matrix formalism is frequently used as a fast and…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-12 S. Yahia-Cherif , A. Blanchard , S. Camera , S. Ilić , K. Markovič , A. Pourtsidou , Z. Sakr , D. Sapone , I. Tutusaus

The efficacy of mathematical models heavily depends on the quality of the training data, yet collecting sufficient data is often expensive and challenging. Many modeling applications require inferring parameters only as a means to predict…

The problem of determining the achievable sensitivity with digitization exhibiting minimal complexity is addressed. In this case, measurements are exclusively available in hard-limited form. Assessing the achievable sensitivity via the…

Information Theory · Computer Science 2021-06-11 Manuel S. Stein

In the realm of deep learning, the Fisher information matrix (FIM) gives novel insights and useful tools to characterize the loss landscape, perform second-order optimization, and build geometric learning theories. The exact FIM is either…

Machine Learning · Computer Science 2021-10-29 Alexander Soen , Ke Sun

A cognitive radar is a constrained utility maximizer that adapts its sensing mode in response to a changing environment. If an adversary can estimate the utility function of a cognitive radar, it can determine the radar's sensing strategy…

Signal Processing · Electrical Eng. & Systems 2022-10-21 Kunal Pattanayak , Vikram Krishnamurthy , Christopher Berry

This paper deals with the question of how to most effectively conduct experiments in Partially Observed Markov Decision Processes so as to provide data that is most informative about a parameter of interest. Methods from Markov decision…

Other Statistics · Statistics 2018-01-31 Leifur Thorbergsson , Giles Hooker

Factored Markov Decision Processes (fMDPs) are a class of Markov Decision Processes (MDPs) in which the states (and actions) can be factored into a set of state (and action) variables and can be encoded compactly using a factored…

Systems and Control · Electrical Eng. & Systems 2025-02-26 Jayanth Bhargav , Mahsa Ghasemi , Shreyas Sundaram

This paper considers a half-duplex scenario where an interferer behaves according to a parametric model but the values of the model parameters are unknown. We explore the necessary number of sensing steps to gather sufficient knowledge…

Information Theory · Computer Science 2024-10-11 Vincent Corlay , Jean-Christophe Sibel , Nicolas Gresset

In this paper, we propose a novel censoring policy for energy-efficient transmissions in energy-harvesting sensors. The problem is formulated as an infinite-horizon Markov Decision Process (MDP). The objective to be optimized is the…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Jesus Fernandez-Bes , Jesus Cid-Sueiro , Antonio G. Marques

We study a scenario where a group of agents, each with multiple heterogeneous sensors are collecting measurements of a vehicle and the measurements are transmitted over a communication channel to a centralized node for processing. The…

Systems and Control · Electrical Eng. & Systems 2021-04-21 Matthew R. Kirchner , João P. Hespanha , Denis Garagić

An adaptive physics-inspired model design strategy for machine-learning interatomic potentials (MLIPs) is proposed. This strategy relies on iterative reconfigurations of composite models from single-term models, followed by a unified…

Materials Science · Physics 2026-02-27 Weishi Wang , Mark K. Transtrum , Vincenzo Lordi , Vasily V. Bulatov , Amit Samanta