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The Fisher information matrix (FIM) has long been of interest in statistics and other areas. It is widely used to measure the amount of information and calculate the lower bound for the variance for maximum likelihood estimation (MLE). In…

Information Theory · Computer Science 2015-06-19 Shenghan Guo

Using Time-Correlated Single Photon Counting (TCSPC) for the purpose of fluorescence lifetime measurements is usually limited in speed due to pile-up. With modern instrumentation this limitation can be lifted significantly but some…

Data Analysis, Statistics and Probability · Physics 2018-05-23 Matthias Patting , Paja Reisch , Marcus Sackrow , Rhys Dowler , Marcelle Koenig , Michael Wahl

Computational imaging~(CI) has been attracting a lot of interest in recent years for its superiority over traditional imaging in various applications. In CI systems, information is generally acquired in an encoded form and subsequently…

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

D-Optimal designs for estimating parameters of response models are derived by maximizing the determinant of the Fisher information matrix. For non-linear models, the Fisher information matrix depends on the unknown parameter vector of…

Methodology · Statistics 2026-01-16 Suvrojit Ghosh , Koulik Khamaru , Tirthankar Dasgupta

We present a new two-snapshot structured light illumination (SLI) reconstruction algorithm for fast image acquisition. The new algorithm, which only requires two mutually {\pi} phase-shifted raw structured images, is implemented on a…

Optics · Physics 2017-10-25 Yunlong Meng , Wei Lin , Chenglin Li , Shih-chi Chen

Information theory provides a useful tool to understand the evolution of complex nonlinear systems and their sustainability. In particular, Fisher Information (FI) has been evoked as a useful measure of sustainability and the variability of…

Dynamical Systems · Mathematics 2016-08-18 Avan Al-Saffar , Eun-jin Kim

The Fisher information matrix (FIM) is a foundational concept in statistical signal processing. The FIM depends on the probability distribution, assumed to belong to a smooth parametric family. Traditional approaches to estimating the FIM…

Computation · Statistics 2015-06-22 Visar Berisha , Alfred O. Hero

Low-photon phase imaging is essential in applications where the signal is limited by short exposure times, faint targets, or the need to protect delicate samples. We address this challenge with Poisson Wavefront Imaging (PWI), an…

Coherent diffractive imaging (CDI) is widely used to characterize structured samples from measurements of diffracting intensity patterns. We introduce a numerical framework to quantify the precision that can be achieved when estimating any…

Optics · Physics 2021-01-08 Dorian Bouchet , Jacob Seifert , Allard P. Mosk

Compressive Macroscopic Fluorescence Lifetime Imaging (MFLI) is a novel technical implementation that enables monitoring multiple molecular interactions in macroscopic scale. Especially, we reported recently on the development of a…

Medical Physics · Physics 2018-02-23 Ruoyang Yao , Marien Ochoa , Xavier Intes , Pingkun Yan

Considering visual localization accuracy at the planning time gives preference to robot motion that can be better localized and thus has the potential of improving vision-based navigation, especially in visually degraded environments. To…

Robotics · Computer Science 2020-08-11 Zichao Zhang , Davide Scaramuzza

This study introduces a novel data-centric approach to improve real-time surgical guidance using fiber-based fluorescence lifetime imaging (FLIm). A key aspect of the methodology is the accurate detection of the aiming beam, which is…

Artificial Intelligence · Computer Science 2024-11-13 Mohamed Abul Hassan , Pu Sun , Xiangnan Zhou , Lisanne Kraft , Kelsey T Hadfield , Katjana Ehrlich , Jinyi Qi , Andrew Birkeland , Laura Marcu

Electromagnetically-induced-transparency (EIT) spectroscopy has been used as a sensitive sensor in quantum metrology applications. The sensitivity of a sensor strongly depends on the measurement precision of EIT spectrum. In this work, we…

Quantum Physics · Physics 2023-09-25 Pin-Ju Tsai , Lun-Ping Yuan , Ying-Cheng Chen

We report the development and detailed calibration of a multiphoton fluorescence lifetime imaging system (FLIM) using a streak camera. The present system is versatile with high spatial (0.2 micron) and temporal (50 psec) resolution and…

Quantitative Methods · Quantitative Biology 2009-11-10 R. V. Krishnan , H. Saitoh , H. Terada , V. E. Centonze , B. Herman

While filtered back projection (FBP) is still the method of choice for fast tomographic reconstruction, its performance degrades noticeably in the presence of noise, incomplete sampling, or non-standard scan geometries. We propose a…

Numerical Analysis · Mathematics 2026-02-16 Hamid Fathi , Alexander Skorikov , Tristan van Leeuwen

The Fisher information matrix (FIM) is a key quantity in statistics as it is required for example for evaluating asymptotic precisions of parameter estimates, for computing test statistics or asymptotic distributions in statistical testing,…

Methodology · Statistics 2023-02-07 Maud Delattre , Estelle Kuhn

We prove two lower bounds for the complexity of non-log-concave sampling within the framework of Balasubramanian et al. (2022), who introduced the use of Fisher information (FI) bounds as a notion of approximate first-order stationarity in…

Machine Learning · Statistics 2022-10-07 Sinho Chewi , Patrik Gerber , Holden Lee , Chen Lu

Current experimental design techniques for dynamical systems often only incorporate measurement noise, while dynamical systems also involve process noise. To construct experimental designs we need to quantify their information content. The…

Methodology · Statistics 2026-03-24 Arno Strouwen , Bart M. Nicolaï , Peter Goos

Due to its specificity, fluorescence microscopy (FM) has become a quintessential imaging tool in cell biology. However, photobleaching, phototoxicity, and related artifacts continue to limit FM's utility. Recently, it has been shown that…