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We continue studies of the uncertainty quantification problem in emission tomographies such as PET or SPECT when additional multimodal data (e.g., anatomical MRI images) are available. To solve the aforementioned problem we adapt the…

Machine Learning · Statistics 2021-12-03 Fedor Goncharov , Éric Barat , Thomas Dautremer

Photon emission is the hallmark of light-matter interaction and the foundation of photonic quantum science, enabling advanced sources for quantum communication and computing. Although single-emitter radiation can be tailored by the photonic…

We report high time-resolution measurements of photon statistics from pairs of dye molecules coupled by fluorescence resonance energy transfer (FRET). In addition to quantum-optical photon antibunching, we observe photon bunching on a…

Condensed Matter · Physics 2009-11-07 Andrew J. Berglund , Andrew C. Doherty , Hideo Mabuchi

Working from a Poisson-Gaussian noise model, a multi-sample extension of the Photon Counting Histogram Expectation Maximization (PCH-EM) algorithm is derived as a general-purpose alternative to the Photon Transfer (PT) method. This…

Instrumentation and Detectors · Physics 2024-03-08 Aaron J. Hendrickson , David P. Haefner , Stanley H. Chan , Nicholas R. Shade , Eric R. Fossum

In this article, a numerical analysis of the asymptotic behavior of the discrete energy associated to a dissipative coupled wave system is conducted. The numerical approximation of the system is constructed using the P1 finite element…

Numerical Analysis · Mathematics 2025-08-22 Toni Sayah , Toufic El Arwadi

Measurement in biological systems became a subject of concern as a consequence of numerous reports on limited reproducibility of experimental results. To reveal origins of this inconsistency, we have examined general features of biological…

Other Quantitative Biology · Quantitative Biology 2017-04-03 Dalibor Štys , Jan Urban , Renata Rychtáriková , Anna Zhyrova , Petr Císař

In this study, we explore the utilization of maximum likelihood estimation for the analysis of sparse photon counting data obtained from distributed target lidar systems. Specifically, we adapt the Poisson Total Variation processing…

Signal Processing · Electrical Eng. & Systems 2023-12-01 Matthew Hayman , Robert A. Stillwell , Josh Carnes , Grant J. Kirchhoff , Scott M. Spuler , Jeffrey P. Thayer

Persistent entropy (PE) is an information-theoretic summary statistic of persistence barcodes that has been widely used to detect regime changes in complex systems. Despite its empirical success, a general theoretical understanding of when…

Machine Learning · Statistics 2026-02-11 Matteo Rucco

The statistics of photons emitted by single multilevel systems is investigated with emphasis on the nonrenewal characteristics of the photon-arrival times. We consider the correlation between consecutive interphoton times and present closed…

Optics · Physics 2017-12-13 Felipe Caycedo-Soler , Ferney J. Rodriguez , Gert Zumofen

Advanced data analysis techniques have proved to be crucial for extracting information from noisy images. Here we show that principal component analysis can be successfully applied to ultracold gases to unveil their collective excitations.…

Quantum Physics · Physics 2015-01-08 Romain Dubessy , Camilla De Rossi , Thomas Badr , Laurent Longchambon , Hélène Perrin

Photon distinguishability is a key factor limiting quantum interference in photonic devices, directly impacting the performance of protocols such as Boson Sampling and photonic quantum computing. We present a basis-independent framework for…

Quantum Physics · Physics 2025-09-09 Emilio Annoni , Stephen C. Wein

Many physical experiments require analysis of the statistics of fluctuating radiation. In the case of an ideal single-photon detector, the contribution of photon noise to the statistics of the registered signal has been thoroughly examined.…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Victor Kornilov

We present a photon counting experiment designed for an undergraduate physics laboratory. The statistics of the number of photons of a pseudo-thermal light source is studied in two limiting cases: much longer and much shorter than the…

Optics · Physics 2009-11-13 M. L. Martinez Ricci , J. Mazzaferri , A. V. Bragas , O. E. Martinez

In this work, we introduce a new methodology for inferring the interaction structure of discrete valued time series which are Poisson distributed. While most related methods are premised on continuous state stochastic processes, in fact,…

Methodology · Statistics 2021-08-12 Jeremie Fish , Jie Sun , Erik Bollt

Electron microscopy based on high-energy electrons allows nanoscopic analytical imaging taking advantage of secondarily generated particles. Especially for cathodoluminescence, the correlation between primary incident electrons and emitted…

Instrumentation and Detectors · Physics 2025-01-28 Sotatsu Yanagimoto , Naoki Yamamoto , Tatsuro Yuge , Hikaru Saito , Keiichirou Akiba , Takumi Sannomiya

Using a combined theoretical and experimental approach, we investigate the non-adiabatic dynamics of the prototypical ethylene (C2H4) molecule upon {\pi} \to {\pi}* excitation. In this first part of a two part series, we focus on the…

We propose and experimentally demonstrate a device for generating light with arbitrary classical photon-number distribution. We use programmable acousto-optical modulation to control the intensity of light within the dynamic range of more…

Quantum Physics · Physics 2018-03-30 Ivo Straka , Jaromír Mika , Miroslav Ježek

Numerical methods for the description of nonequilibrium many-particle quantum systems such as equation of motion techniques often cannot compute the full statistics of observables but only moments of it, such as mean, variance and…

Statistical Mechanics · Physics 2018-12-05 Boris Gulyak , Boris Melcher , Jan Wiersig

Ultrasound images are commonly formed by sequential acquisition of beam-steered scan-lines. Minimizing the number of required scan-lines can significantly enhance frame rate, field of view, energy efficiency, and data transfer speeds.…

Image and Video Processing · Electrical Eng. & Systems 2025-01-08 Simon W. Penninga , Hans van Gorp , Ruud J. G. van Sloun

Finding interdependency relations between (possibly multivariate) time series provides valuable knowledge about the processes that generate the signals. Information theory sets a natural framework for non-parametric measures of several…

Information Theory · Computer Science 2016-02-09 German Gomez-Herrero , Wei Wu , Kalle Rutanen , Miguel C. Soriano , Gordon Pipa , Raul Vicente
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