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This study investigates the potential of a multi-TeV Muon Collider (MuC) for probing the Inert Triplet Model (ITM), which introduces a triplet scalar field with hypercharge $Y=0$ to the Standard Model. The ITM stands out as a compelling…

High Energy Physics - Phenomenology · Physics 2024-08-06 Priyotosh Bandyopadhyay , Snehashis Parashar , Chandrima Sen , Jeonghyeon Song

Topological Data Analysis (TDA) is an emergent field that aims to discover topological information hidden in a dataset. TDA tools have been commonly used to create filters and topological descriptors to improve Machine Learning (ML)…

Machine Learning · Computer Science 2021-02-09 Rolando Kindelan , José Frías , Mauricio Cerda , Nancy Hitschfeld

Topological Data Analysis (TDA) is an emergent field that aims to discover topological information hidden in a dataset. TDA tools have been commonly used to create filters and topological descriptors to improve Machine Learning (ML)…

Machine Learning · Computer Science 2022-02-07 Rolando Kindelan , José Frías , Mauricio Cerda , Nancy Hitschfeld

$Z$ boson events at the Large Hadron Collider can be selected with high purity and are sensitive to a diverse range of QCD phenomena. As a result, these events are often used to probe the nature of the strong force, improve Monte Carlo…

High Energy Physics - Experiment · Physics 2025-02-10 ATLAS Collaboration

We propose an unsupervised learning methodology with descriptors based on Topological Data Analysis (TDA) concepts to describe the local structural properties of materials at the atomic scale. Based only on atomic positions and without a…

Disordered Systems and Neural Networks · Physics 2022-04-20 Sébastien Becker , Emilie Devijver , Rémi Molinier , Noël Jakse

Machine-learning (ML) techniques are explored to identify and classify hadronic decays of highly Lorentz-boosted W/Z/Higgs bosons and top quarks. Techniques without ML have also been evaluated and are included for comparison. The…

High Energy Physics - Experiment · Physics 2020-06-09 CMS Collaboration

We use unlabeled collision data and weakly-supervised learning to train models which can distinguish prompt muons from non-prompt muons using patterns of low-level particle activity in the vicinity of the muon, and interpret the models in…

High Energy Physics - Experiment · Physics 2023-06-29 Edmund Witkowski , Benjamin Nachman , Daniel Whiteson

We present a way to use Topological Data Analysis (TDA) for machine learning tasks on grayscale images. We apply persistent homology to generate a wide range of topological features using a point cloud obtained from an image, its natural…

Machine Learning · Computer Science 2019-10-23 Adélie Garin , Guillaume Tauzin

Topological invariants have played a fundamental role in the advancement of theoretical high energy physics. Physicists have used several kinematic techniques to distinguish new physics predictions from the Standard Model (SM) of particle…

High Energy Physics - Phenomenology · Physics 2023-09-18 Jyotiranjan Beuria

Topology and machine learning are two actively researched topics not only in condensed matter physics, but also in data science. Here, we propose the use of topological data analysis in unsupervised learning of the topological phase…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Sungjoon Park , Yoonseok Hwang , Bohm-Jung Yang

A muon collider represents the ideal machine to reach very high center-of-mass energies and luminosities by colliding elementary particles. This is the result of the low level of beamstrahlung and synchrotron radiation compared to linear or…

Topological data analysis (TDA) is a branch of computational mathematics, bridging algebraic topology and data science, that provides compact, noise-robust representations of complex structures. Deep neural networks (DNNs) learn millions of…

The predictions of mean-field electrodynamics can now be probed using direct numerical simulations of random flows and magnetic fields. When modelling astrophysical MHD, it is important to verify that such simulations are in agreement with…

Data Analysis, Statistics and Probability · Physics 2018-09-12 Irina Makarenko , Paul Bushby , Andrew Fletcher , Robin Henderson , Nikolay Makarenko , Anvar Shukurov

Understanding the behavior and evolution of a dynamical many-body system by analyzing patterns in their experimentally captured images is a promising method relevant for a variety of living and non-living self-assembled systems. The arrays…

Individual events at high-energy colliders like the LHC can be represented by a sequence of measurements, or 'point patterns' in an observable space. Starting from this data representation, we build a simple Bayesian probabilistic model for…

High Energy Physics - Phenomenology · Physics 2020-12-17 Darius A. Faroughy

Machine learning models for repeated measurements are limited. Using topological data analysis (TDA), we present a classifier for repeated measurements which samples from the data space and builds a network graph based on the data topology.…

Machine Learning · Computer Science 2019-04-08 Henri Riihimäki , Wojciech Chachólski , Jakob Theorell , Jan Hillert , Ryan Ramanujam

The Third Family Hypercharge Model predicts a $Z^\prime$ gauge boson with flavour dependent couplings which has been used to explain anomalies in meson decay processes which involve the $b\rightarrow s\mu^+\mu^-$ transition. The model…

High Energy Physics - Phenomenology · Physics 2023-09-25 Ben Allanach , Hannah Banks

We develop a framework for analyzing multivariate time series using topological data analysis (TDA) methods. The proposed methodology involves converting the multivariate time series to point cloud data, calculating Wasserstein distances…

Algebraic Topology · Mathematics 2020-12-29 Chengyuan Wu , Carol Anne Hargreaves

Now that disease-modifying therapies for Alzheimer disease have been approved by regulatory agencies, the early, objective, and accurate clinical diagnosis of AD based on the lowest-cost measurement modalities possible has become an…

Image and Video Processing · Electrical Eng. & Systems 2025-11-13 Faisal Ahmed , Taymaz Akan , Fatih Gelir , Owen T. Carmichael , Elizabeth A. Disbrow , Steven A. Conrad , Mohammad A. N. Bhuiyan

In this study, we present and analyze a framework for geometric and topological estimation for mapping of unknown environments. We consider agents mimicking motion behaviors of cyborg insects, known as biobots, and exploit coordinate-free…

Robotics · Computer Science 2016-07-04 Alireza Dirafzoon , Alper Bozkurt , Edgar Lobaton
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