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We present a novel technique for estimating disk parameters (the centre and the radius) from its 2D image. It is based on the maximal likelihood approach utilising both edge pixels coordinates and the image intensity gradients. We emphasise…

图像与视频处理 · 电气工程与系统科学 2020-09-03 Matwey V. Kornilov

We present a supervised learning model to calibrate the photon collection rate during the fluorescence imaging of cold atoms. The linear regression model finds the collection rate at each location on the sensor such that the atomic…

量子物理 · 物理学 2022-01-27 Benjamin K. Malia , Yunfan Wu , Julián Martínez-Rincón , Mark A. Kasevich

In this paper we provide a new efficient algorithm for approximately computing the profile maximum likelihood (PML) distribution, a prominent quantity in symmetric property estimation. We provide an algorithm which matches the previous best…

数据结构与算法 · 计算机科学 2020-11-06 Nima Anari , Moses Charikar , Kirankumar Shiragur , Aaron Sidford

Finite-precision floating point arithmetic unavoidably introduces rounding errors which are traditionally bounded using a worst-case analysis. However, worst-case analysis might be overly conservative because worst-case errors can be…

数值分析 · 数学 2019-12-11 Fredrik Dahlqvist , Rocco Salvia , George A Constantinides

The analysis of optical images of galaxy-galaxy strong gravitational lensing systems can provide important information about the distribution of dark matter at small scales. However, the modeling and statistical analysis of these images is…

宇宙学与河外天体物理 · 物理学 2020-11-30 Adam Coogan , Konstantin Karchev , Christoph Weniger

Our paper deals with inferring simulator-based statistical models given some observed data. A simulator-based model is a parametrized mechanism which specifies how data are generated. It is thus also referred to as generative model. We…

机器学习 · 统计学 2016-01-01 Michael U. Gutmann , Jukka Corander

Detection of low-intensity light relies on the conversion of photons to photoelectrons, which are then multiplied and detected as an electrical signal. To measure the actual intensity of the light, one must know the factor by which the…

Likelihood-free inference involves inferring parameter values given observed data and a simulator model. The simulator is computer code which takes parameters, performs stochastic calculations, and outputs simulated data. In this work, we…

统计计算 · 统计学 2023-01-30 Dennis Prangle , Cecilia Viscardi

This paper introduces a Monte Carlo method for maximum likelihood inference in the context of discretely observed diffusion processes. The method gives unbiased and a.s.\@ continuous estimators of the likelihood function for a family of…

统计理论 · 数学 2009-03-03 Alexandros Beskos , Omiros Papaspiliopoulos , Gareth Roberts

Digital assays represent a shift from traditional diagnostics and enable the precise detection of low-abundance analytes, critical for early disease diagnosis and personalized medicine, through discrete counting of biomolecular reporters.…

计算物理 · 物理学 2025-12-08 Neil H. Kim , Xiao-Liu Chu , Joseph B. DeGrandchamp , Matthew R. Foreman

Prompt isolated leptons are essential in many analyses in high-energy particle physics but are subject to fake-lepton background, i.e. objects that mimic the lepton signature. The fake-lepton background is difficult to estimate from…

高能物理 - 唯象学 · 物理学 2022-07-25 Johannes Erdmann , Cornelius Grunwald , Kevin Kröninger , Salvatore La Cagnina , Lars Röhrig , Erich Varnes

We propose a Likelihood Matching approach for training diffusion models by first establishing an equivalence between the likelihood of the target data distribution and a likelihood along the sample path of the reverse diffusion. To…

机器学习 · 统计学 2026-01-23 Lei Qian , Wu Su , Yanqi Huang , Song Xi Chen

Single particle diffraction imaging experiments at free-electron lasers (FEL) have a great potential for structure determination of reproducible biological specimens that can not be crystallized. One of the challenges in processing the data…

生物物理 · 物理学 2013-10-16 O. M. Yefanov , I. A. Vartanyants

Despite the remarkable progress in generative modelling, current diffusion models lack a quantitative approach to assess image quality. To address this limitation, we propose to estimate the pixel-wise aleatoric uncertainty during the…

计算机视觉与模式识别 · 计算机科学 2024-12-03 Michele De Vita , Vasileios Belagiannis

This paper deals with the problem of inference associated with linear fractional diffusion process with random effects in the drift. In particular we are concerned with the maximum likelihood estimators (MLE) of the random effect…

统计理论 · 数学 2019-12-04 El Omari Mohamed , Hamid El Maroufy , Christiane Fuchs

Considering the issue of estimating small probabilities p, ie. measuring a rare domain F = {x | g(x) > q} with respect to the distribution of a random vector X, Multilevel Splitting strategies (also called Subset Simulation) aim at writing…

统计计算 · 统计学 2015-09-10 Clément Walter

Over the last decade, the light microscope has become increasingly useful as a quantitative tool for studying colloidal systems. The ability to obtain particle coordinates in bulk samples from micrographs is particularly appealing. In this…

软凝聚态物质 · 物理学 2007-09-27 Matthew C. Jenkins , Stefan U. Egelhaaf

Maximum likelihood iteration is one of the most commonly used reconstruction algorithms in quantum tomography. The main appeal of the method is that it is easy to implement and that it converges reliably to a physically meaningful density…

量子物理 · 物理学 2025-08-21 Florian Oberender

We present a reconstruction method involving maximum-likelihood expectation maximization (MLEM) to model Poisson noise as applied to fluorescence molecular tomography (FMT). MLEM is initialized with the output from a sparse…

医学物理 · 物理学 2018-04-03 Yansong Zhu , Abhinav K. Jha , Dean F. Wong , Arman Rahmim

The observations in many applications consist of counts of discrete events, such as photons hitting a dector, which cannot be effectively modeled using an additive bounded or Gaussian noise model, and instead require a Poisson noise model.…

最优化与控制 · 数学 2016-11-17 Zachary T. Harmany , Roummel F. Marcia , Rebecca M. Willett