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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 study the D-optimal Data Fusion (DDF) problem, which aims to select new data points, given an existing Fisher information matrix, so as to maximize the logarithm of the determinant of the overall Fisher information matrix. We show that…

Optimization and Control · Mathematics 2022-08-09 Yongchun Li , Marcia Fampa , Jon Lee , Feng Qiu , Weijun Xie , Rui Yao

This paper studies sensor placement when detection performance varies stochastically due to environmental factors over space and time and false alarms are present, but a filter is used to attenuate the effect. We introduce a unified model…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Mingyu Kim , Pronoy Sarker , Seungmo Kim , Daniel J. Stilwell , Jorge Jimenez

We introduce a positive Hermitian operator, the Fisher operator, and use it to examine a measurement process incorporating unitary dynamics and complete measurements. We develop the idea of information complement, the minimization of which…

Quantum Physics · Physics 2009-02-20 Gabriel A. Durkin

Compressive sensing is a promising solution for the channel estimation in multiple-input multiple-output (MIMO) systems with large antenna arrays and constrained hardware. Utilizing site-specific channel data from real-world systems, deep…

Signal Processing · Electrical Eng. & Systems 2024-05-14 Hao Luo , Ahmed Alkhateeb

Many of the distributed localization algorithms are based on relaxed optimization formulations of the localization problem. These algorithms commonly rely on first-order optimization methods, and hence may require many iterations or…

Optimization and Control · Mathematics 2016-07-19 Sina Khoshfetrat Pakazad , Emre Özkan , Carsten Fritsche , Anders Hansson , Fredrik Gustafsson

Ship traffic is an increasing source of underwater radiated noise in coastal waters, motivating real-time digital twins of ocean acoustics for operational noise mitigation. We present a physics-guided probabilistic framework to predict…

Machine Learning · Computer Science 2025-10-01 Indu Kant Deo , Akash Venkateshwaran , Rajeev K. Jaiman

Digital twins are transforming engineering and applied sciences by enabling real-time monitoring, simulation, and predictive analysis of physical systems and processes. However, conventional digital twins rely primarily on passive data…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Matteo Torzoni , Domenico Maisto , Andrea Manzoni , Francesco Donnarumma , Giovanni Pezzulo , Alberto Corigliano

One possible way of making thermal processing controllable is to gather real-time information on the product's current state. Often, sensory equipment cannot capture all relevant information easily or at all. Digital Twins close this gap…

Computational Engineering, Finance, and Science · Computer Science 2022-09-08 Maximilian Kannapinn , Minh Khang Pham , Michael Schäfer

In this paper we introduce a binary search algorithm that efficiently finds initial maximum likelihood estimates for sequential experiments where a binary response is modeled by a continuous factor. The problem is motivated by switching…

Statistics Theory · Mathematics 2008-08-27 Juha Karvanen

This paper considers the problem of localising a stationary signal source using a team of mobile agents which only take binary measurements. Background false detection rates and missed detection probabilities are incorporated into the…

Signal Processing · Electrical Eng. & Systems 2018-09-13 Daniel D. Selvaratnam , Iman Shames , Jonathan H. Manton , Branko Ristic

We present a dispersive quantum thermometry protocol for simultaneous estimation of inverse temperature $\beta$ and interaction strength $x$ using a nonlinear Mach-Zehnder interferometer coupled to a thermal ancilla. We derive closed-form…

Inferential (or soft) sensors are used in industry to infer the values of imprecisely and rarely measured (or completely unmeasured) variables from variables measured online (e.g., pressures, temperatures). The main challenge, akin to…

Machine Learning · Computer Science 2021-06-28 Martin Mojto , Karol Ľubušký , Miroslav Fikar , Radoslav Paulen

The flow size distribution is a useful metric for traffic modeling and management. Its estimation based on sampled data, however, is problematic. Previous work has shown that flow sampling (FS) offers enormous statistical benefits over…

Information Theory · Computer Science 2011-06-21 Paul Tune , Darryl Veitch

The eigenvalues and eigenvectors of the Fisher information matrix (FIM) can reveal the most and least sensitive directions of a system and it has wide application across science and engineering. We present a symplectic variant of the…

Information Theory · Computer Science 2023-07-04 Jiannan Yang

This paper addresses distributed registration of a sensor network for multitarget tracking. Each sensor gets measurements of the target position in a local coordinate frame, having no knowledge about the relative positions (referred to as…

Systems and Control · Computer Science 2019-02-08 Lin Gao , Giorgio Battistelli , Luigi Chisci , Ping Wei

We consider the problem of decentralized estimation using wireless sensor networks. Specifically, we propose a novel framework based on level-triggered sampling, a non-uniform sampling strategy, and sequential estimation. The proposed…

Applications · Statistics 2013-09-24 Yasin Yilmaz , Xiaodong Wang

Robotics and automation are key enablers to increase throughput in ongoing conservation efforts across various threatened ecosystems. Cataloguing, digitisation, husbandry, and similar activities require the ability to interact with…

Robotics · Computer Science 2025-09-23 Lois Liow , Jonty Milford , Emre Uygun , Andre Farinha , Vinoth Viswanathan , Josh Pinskier , David Howard

Effective real-time monitoring is a foundation of digital twin technology, crucial for detecting material degradation and maintaining the structural integrity of nuclear systems to ensure both safety and operational efficiency. Traditional…

Machine Learning · Computer Science 2024-12-02 Raisa Bentay Hossain , Farid Ahmed , Kazuma Kobayashi , Seid Koric , Diab Abueidda , Syed Bahauddin Alam

Gaussian process regression uses data measured at sensor locations to reconstruct a spatially dependent function with quantified uncertainty. However, if only a limited number of sensors can be deployed, it is important to determine how to…

Numerical Analysis · Mathematics 2026-01-29 Jessie Chen , Hangjie Ji , Arvind K. Saibaba
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