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We present a method to discriminate instanton-induced processes from standard DIS background based on Range Searching. This method offers fast and automatic scanning of a large number of variables for a combination of variables giving high…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Carli , B. Koblitz

Probability Density Estimation (PDE) is a multivariate discrimination technique based on sampling signal and background densities defined by event samples from data or Monte-Carlo (MC) simulations in a multi-dimensional phase space. In this…

Data Analysis, Statistics and Probability · Physics 2009-07-22 Dominik Dannheim , Tancredi Carli , Karl-Johan Grahn , Peter Speckmayer , Alexander Voigt

We consider the problem of making nonparametric inference in a class of multi-dimensional diffusions in divergence form, from low-frequency data. Statistical analysis in this setting is notoriously challenging due to the intractability of…

Methodology · Statistics 2025-01-23 Matteo Giordano , Sven Wang

An essential metric for the quality of a particle-identification experiment is its statistical power to discriminate between signal and background. Pulse shape discrimination (PSD) is a basic method for this purpose in many nuclear,…

Instrumentation and Detectors · Physics 2024-05-17 Shubham Dutta , Sayan Ghosh , Satyaki Bhattacharya , Satyajit Saha

PDE discovery shows promise for uncovering predictive models of complex physical systems but has difficulty when measurements are sparse and noisy. We introduce a new approach for PDE discovery that uses two Rational Neural Networks and a…

Machine Learning · Computer Science 2022-06-20 Robert Stephany , Christopher Earls

In recent years, data-driven methods have been developed to learn dynamical systems and partial differential equations (PDE). The goal of such work is discovering unknown physics and the corresponding equations. However, prior to achieving…

Machine Learning · Statistics 2021-02-17 Hao Xu , Haibin Chang , Dongxiao Zhang

In the search for new particles in high-energy physics, it is crucial to select the Signal Region (SR) in such a way that it is enriched with signal events if they are present. While most existing search methods set the region relying on…

Machine Learning · Statistics 2024-12-12 Soheun Yi , John Alison , Mikael Kuusela

We present alphaPDE, a new multivariate analysis technique for parameter estimation. The method is based on a direct construction of joint probability densities of known variables and the parameters to be estimated. We show how posterior…

Data Analysis, Statistics and Probability · Physics 2009-11-07 B. Knuteson , H. Miettinen , L. Holmstrom

In this paper, we introduce PDE-LEARN, a novel deep learning algorithm that can identify governing partial differential equations (PDEs) directly from noisy, limited measurements of a physical system of interest. PDE-LEARN uses a Rational…

Machine Learning · Computer Science 2023-02-13 Robert Stephany , Christopher Earls

Kernel density estimation (KDE) has become a popular method for visual analysis in various fields, such as financial risk forecasting, crime clustering, and traffic monitoring. KDE can identify high-density areas from discrete datasets.…

Databases · Computer Science 2025-01-14 Yu Shao , Peng Cheng , Xiang Lian , Lei Chen , Wangze Ni , Xuemin Lin , Chen Zhang , Liping Wang

We propose a methodology that combines generative latent diffusion models with physics-informed machine learning to generate solutions of parametric partial differential equations (PDEs) conditioned on partial observations, which includes,…

Machine Learning · Computer Science 2026-02-11 Davide Gallon , Philippe von Wurstemberger , Patrick Cheridito , Arnulf Jentzen

An event camera detects per-pixel intensity difference and produces asynchronous event stream with low latency, high dynamic range, and low power consumption. As a trade-off, the event camera has low spatial resolution. We propose an…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 S. Mohammad Mostafavi I. , Jonghyun Choi , Kuk-Jin Yoon

We propose to apply several gradient estimation techniques to enable the differentiation of programs with discrete randomness in High Energy Physics. Such programs are common in High Energy Physics due to the presence of branching processes…

Machine Learning · Statistics 2023-09-01 Michael Kagan , Lukas Heinrich

We investigate robust parameter estimation and testing procedure for multivariate diffusion processes observed at high frequency via the minimum density power divergence estimator (MDPDE). Within a general diffusion framework and under…

Methodology · Statistics 2026-03-17 Sourojyoti Barick

Scene classification is a key problem in the interpretation of high-resolution remote sensing imagery. Many state-of-the-art methods, e.g. bag-of-visual-words model and its variants, the topic models as well as deep learning-based…

Computer Vision and Pattern Recognition · Computer Science 2015-08-03 Jingwen Hu , Gui-Song Xia , Fan Hu , Liangpei Zhang

Unveiling the underlying governing equations of nonlinear dynamic systems remains a significant challenge. Insufficient prior knowledge hinders the determination of an accurate candidate library, while noisy observations lead to imprecise…

Machine Learning · Computer Science 2024-04-30 Mengge Du , Yuntian Chen , Longfeng Nie , Siyu Lou , Dongxiao Zhang

In this paper, we introduce and analyze a new low-rank multilevel strategy for the solution of random diffusion problems. Using a standard stochastic collocation scheme, we first approximate the infinite dimensional random problem by a…

Numerical Analysis · Mathematics 2016-06-20 Jonas Ballani , Daniel Kressner , Michael Peters

Partial differential equation (PDE) models are widely used in engineering and natural sciences to describe spatio-temporal processes. The parameters of the considered processes are often unknown and have to be estimated from experimental…

Numerical Analysis · Mathematics 2016-12-21 Romana Boiger , Jan Hasenauer , Sabrina Hross , Barbara Kaltenbacher

We propose robust methods to identify underlying Partial Differential Equation (PDE) from a given set of noisy time dependent data. We assume that the governing equation is a linear combination of a few linear and nonlinear differential…

Numerical Analysis · Mathematics 2023-03-03 Yuchen He , Sung Ha Kang , Wenjing Liao , Hao Liu , Yingjie Liu

Methods for anomaly detection of new physics processes are often limited to low-dimensional spaces due to the difficulty of learning high-dimensional probability densities. Particularly at the constituent level, incorporating desirable…

High Energy Physics - Phenomenology · Physics 2024-03-06 Vinicius Mikuni , Benjamin Nachman
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