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Background properties in experimental particle physics are typically estimated using large data sets. However, different events can exhibit different features because of the quantum mechanical nature of the underlying physics processes.…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Federico Colecchia

Simulation-Based Inference (SBI) is a common name for an emerging family of approaches that infer the model parameters when the likelihood is intractable. Existing SBI methods either approximate the likelihood, such as Approximate Bayesian…

Machine Learning · Computer Science 2023-11-29 Theo Gruner , Boris Belousov , Fabio Muratore , Daniel Palenicek , Jan Peters

Supervised fine-tuning (SFT) is a fundamental post-training strategy to align Large Language Models (LLMs) with human intent. However, traditional SFT often ignores the one-to-many nature of language by forcing alignment with a single…

Computation and Language · Computer Science 2026-05-07 Tao Liu , Taiqiang Wu , Runming Yang , Shaoning Sun , Junjie Wang , Yujiu Yang

We present a maximum likelihood method for fitting two-dimensional model distributions to stellar data in colour-magnitude space. This allows one to include (for example) binary stars in an isochronal population. The method also allows one…

Astrophysics · Physics 2009-11-11 Tim Naylor , Rob Jeffries

Many surveys use maximum-likelihood (ML) methods to fit models when extracting photometry from images. We show these ML estimators systematically overestimate the flux as a function of the signal-to-noise ratio and the number of model…

Instrumentation and Methods for Astrophysics · Physics 2020-03-25 Stephen K. N. Portillo , Joshua S. Speagle , Douglas P. Finkbeiner

Maximum likelihood fits to data can be performed using binned data and unbinned data. The likelihood fits in either case produce only the fitted quantities but not the goodness of fit. With binned data, one can obtain a measure of the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Rajendran Raja

Single-molecule localization microscopy techniques, like stochastic optical reconstruction microscopy (STORM), visualize biological specimens by stochastically exciting sparse blinking emitters. The raw images suffer from unwanted…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Patris Valera , Josué Page Vizcaíno , Tobias Lasser

Probability distribution modeling is the basis for most competitive methods for lossless coding of screen content. One such state-of-the-art method is known as soft context formation (SCF). For each pixel to be encoded, a probability…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Hannah Och , Tilo Strutz , André Kaup

This paper presents a novel approach to estimate the Standard Model backgrounds based on modifying Monte Carlo predictions within their systematic uncertainties. The improved background model is obtained by altering the original predictions…

High Energy Physics - Experiment · Physics 2009-11-23 S. Caron , G. Cowan , E. Gross , S. Horner , J. E. Sundermann

A composite likelihood is a non-genuine likelihood function that allows to make inference on limited aspects of a model, such as marginal or conditional distributions. Composite likelihoods are not proper likelihoods and need therefore…

Methodology · Statistics 2021-04-06 Michele Lambardi di San Miniato , Nicola Sartori

An improved phase retrieval method based Hilbert transform is introduced to quantitatively calculate the phase distribution from distorted fringe pattern. Also phase measurement deflectomety are widely used in specular type samples. The…

Instrumentation and Detectors · Physics 2016-09-21 Silin Na , Sanghoon Shin , Younghun Yu

Likelihood-free methods are an essential tool for performing inference for implicit models which can be simulated from, but for which the corresponding likelihood is intractable. However, common likelihood-free methods do not scale well to…

Methodology · Statistics 2022-07-15 Christopher Drovandi , David J Nott , David T Frazier

Two subspace fitting approaches are proposed for wideband near-field localization. Unlike in conventional far-field systems, where distance and angle can be estimated separately, spherical wave propagation in near-field systems couples…

Signal Processing · Electrical Eng. & Systems 2025-08-07 Ruiyun Zhang , Zhaolin Wang , Zhiqing Wei , Yuanwei Liu , Zehui Xiong , Zhiyong Feng

We present here a technique for developing a high-throughput algorithm to fit a combination of template pulse shapes while simultaneously subtracting parameterized background noise. By convolving the psuedoinverse of the least-squares fit…

Instrumentation and Detectors · Physics 2020-12-14 A. P. Jezghani , L. J. Broussard , C. B. Crawford

We introduce an optimization technique to discriminate signal and background in any phenomeno- logical study based on the cut and count-based method. The core ideas behind this technique are the introduction of a ranking scheme that can…

High Energy Physics - Phenomenology · Physics 2026-05-19 Baradhwaj Coleppa , Gokul B. Krishna , Agnivo Sarkar , Sujay Shil

Background subtraction is a fundamental task in computer vision with numerous real-world applications, ranging from object tracking to video surveillance. Dynamic backgrounds poses a significant challenge here. Supervised deep…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Fateme Bahri , Nilanjan Ray

In the time of Big Data, training complex models on large-scale data sets is challenging, making it appealing to reduce data volume for saving computation resources by subsampling. Most previous works in subsampling are weighted methods…

Machine Learning · Computer Science 2021-04-14 Zifeng Wang , Hong Zhu , Zhenhua Dong , Xiuqiang He , Shao-Lun Huang

The method of extended maximum likelihood is a well known concept of parameter estimation. One can implement external knowledge on the unknown parameters by multiplying the likelihood by constraint terms. In this note, we emphasize that…

Data Analysis, Statistics and Probability · Physics 2012-10-29 Till Moritz Karbach , Maximilian Schlupp

We consider the problem of parametric statistical inference when likelihood computations are prohibitively expensive but sampling from the model is possible. Several so-called likelihood-free methods have been developed to perform inference…

Machine Learning · Statistics 2020-09-14 Owen Thomas , Ritabrata Dutta , Jukka Corander , Samuel Kaski , Michael U. Gutmann

Firth-type logistic regression has become a standard approach for the analysis of binary outcomes with small samples. Whereas it reduces the bias in maximum likelihood estimates of coefficients, bias towards 1/2 is introduced in the…

Methodology · Statistics 2021-01-20 Rainer Puhr , Georg Heinze , Mariana Nold , Lara Lusa , Angelika Geroldinger