Persistence curves: A canonical framework for summarizing persistence diagrams
YM Chung, A Lawson - Advances in Computational Mathematics, 2022 - Springer
Persistence diagrams are one of the main tools in the field of Topological Data Analysis
(TDA). They contain fruitful information about the shape of data. The use of machine learning …
(TDA). They contain fruitful information about the shape of data. The use of machine learning …
Persistent homology analysis distinguishes pathological bone microstructure in non-linear microscopy images
Y Pritchard, A Sharma, C Clarkin, H Ogden… - Scientific Reports, 2023 - nature.com
We present a topological method for the detection and quantification of bone microstructure
from non-linear microscopy images. Specifically, we analyse second harmonic generation …
from non-linear microscopy images. Specifically, we analyse second harmonic generation …
Topological approaches to skin disease image analysis
Skin cancer is one of the most common cancers in the United States. As technological
advancements are made, algorithmic diagnosis of skin lesions is becoming more important …
advancements are made, algorithmic diagnosis of skin lesions is becoming more important …
Toporesnet: A hybrid deep learning architecture and its application to skin lesion classification
The application of artificial intelligence (AI) to various medical subfields has been a popular
topic of research in recent years. In particular, deep learning has been widely used and has …
topic of research in recent years. In particular, deep learning has been widely used and has …
Topological learning for the classification of disorder: an application to the design of metasurfaces
T Madeleine, N Podoliak, O Buchnev… - ACS …, 2023 - ACS Publications
Structural disorder can improve the optical properties of metasurfaces, whether it is
emerging from some large-scale fabrication methods or explicitly designed and built …
emerging from some large-scale fabrication methods or explicitly designed and built …
Persistent homology of coarse-grained state-space networks
This work is dedicated to the topological analysis of complex transitional networks for
dynamic state detection. Transitional networks are formed from time series data and they …
dynamic state detection. Transitional networks are formed from time series data and they …
Smooth summaries of persistence diagrams and texture classification
YM Chung, M Hull, A Lawson - Proceedings of the IEEE …, 2020 - openaccess.thecvf.com
Topological data analysis (TDA) is a rising field in the intersection of mathematics, statistics,
and computer science/data science. Persistent homology is one of the most commonly used …
and computer science/data science. Persistent homology is one of the most commonly used …
A topology informed random forest classifier for ecg classification
PS Ignacio, JA Bulauan… - 2020 Computing in …, 2020 - ieeexplore.ieee.org
This paper accompanies Team Cordi-Aks entry to the classification of 12-lead ECGs for the
PhysioNet/Computing in Cardiology Challenge 2020. Our approach leverages …
PhysioNet/Computing in Cardiology Challenge 2020. Our approach leverages …
A persistent homology approach to time series classification
YM Chung, W Cruse, A Lawson - arxiv preprint arxiv:2003.06462, 2020 - arxiv.org
Topological Data Analysis (TDA) is a rising field of computational topology in which the
topological structure of a data set can be observed by persistent homology. By considering a …
topological structure of a data set can be observed by persistent homology. By considering a …
TAaCGH Suite for Detecting Cancer—Specific Copy Number Changes Using Topological Signatures
Copy number changes play an important role in the development of cancer and are
commonly associated with changes in gene expression. Persistence curves, such as Betti …
commonly associated with changes in gene expression. Persistence curves, such as Betti …