Results 61 to 70 of about 1,143,028 (268)

Topological data analysis for the string landscape

Journal of High Energy Physics, 2019
Persistent homology computes the multiscale topology of a data set by using a sequence of discrete complexes. In this paper, we propose that persistent homology may be a useful tool for studying the structure of the landscape of string vacua. As a scaled-
Alex Cole, Gary Shiu
doaj   +1 more source

Model comparison via simplicial complexes and persistent homology

Royal Society Open Science, 2021
In many scientific and technological contexts, we have only a poor understanding of the structure and details of appropriate mathematical models. We often, therefore, need to compare different models.
Sean T. Vittadello, Michael P. H. Stumpf
doaj   +1 more source

The Comparison of Diffeomorphic Images Based on the Construction of Persistent Homology

Моделирование и анализ информационных систем, 2019
An object shape analysis is a problem that is related to such areas as geometry, topology, image processing and machine learning. For analyzing the form, the deformation between the source and terminal form of the object is estimated.
Sergey N. Chukanov
doaj   +1 more source

PhoGAD: Graph-based Anomaly Behavior Detection with Persistent Homology Optimization [PDF]

Web Search and Data Mining
A multitude of toxic online behaviors, ranging from network attacks to anonymous traffic and spam, have severely disrupted the smooth operation of networks.
Ziqi Yuan, Haoyi Zhou, Tianyu Chen, Jianxin Li   +3 more
semanticscholar   +1 more source

Persistent Homology-Based Machine Learning Method for Filtering and Classifying Mammographic Microcalcification Images in Early Cancer Detection

Cancers, 2023
Simple Summary The appearance of microcalcifications in mammogram images is an essential predictor for radiologists to detect early-stage breast cancer.
A. Malek, M. A. Alias, F. Razak, M. Noorani, R. Mahmud, N. F. S. Zulkepli   +5 more
semanticscholar   +1 more source

Persistence homology of entangled rings [PDF]

Physical Review Research, 2020
Accepted for publication in Physical Review Research.
Fabio Landuzzi, Takenobu Nakamura, Davide Michieletto, Takahiro Sakaue   +3 more
openaire   +4 more sources

Euler Integration of Gaussian Random Fields and Persistent Homology

, 2011
In this paper we extend the notion of the Euler characteristic to persistent homology and give the relationship between the Euler integral of a function and the Euler characteristic of the function's persistent homology.
Adler R. J, Adler R. J., Hatcher A., MATTHEW STROM BORMAN, OMER BOBROWSKI   +4 more
core   +1 more source

Persistent Homology Approach for Human Presence Detection from 60 GHz OTFS Transmissions

Italian National Conference on Sensors, 2023
Orthogonal Time Frequency Space (OTFS) is a new, promising modulation waveform candidate for the next-generation integrated sensing and communication (ISaC) systems, providing environment-awareness capabilities together with high-speed wireless data ...
R. Maršálek, Radim Zedka, E. Zöchmann, J. Vychodil, Radek Závorka, Golsa Ghiaasi, J. Blumenstein   +6 more
semanticscholar   +1 more source

Persistent Homology in Machine Learning: Applied Sciences Review

Proceedings of the International Conference on Applied Innovations in IT, 2023
Topological Data Analysis (‘TDA’) has become a vibrant and quickly developing field in recent years, providing topology-enhanced data processing and Machine Learning (‘ML’) applications.
Oleksandr Yavorskyi, Andrii Asseko-Nkili, Nataliia Kussul   +2 more
doaj   +1 more source

Sparse Nerves in Practice [PDF]

, 2019
Topological data analysis combines machine learning with methods from algebraic topology. Persistent homology, a method to characterize topological features occurring in data at multiple scales is of particular interest.
Aruni Choudhary, Gunnar Carlsson, H Edelsbrunner, M Brun, MB Botnan, N Otter, S Chowdhury, V Robins   +7 more
core   +4 more sources