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1
Introduction
2
Persistent homology
3
Structure theorem
4
Real data
5
Data science
6
Persistence landscape
7
Stability
8
Joint project
9
Actin cytoskeleton
10
Profilin
11
Subsample patches
12
Persistence landscapes
13
Support vector regression
14
Results
15
Visualization
16
Thank you
17
Wrap up
18
Parallel lines
19
Challenges
20
Questions
Description:
Explore topological data analysis and its application to biological image classification in this 30-minute conference talk. Learn how persistent homology, local homology, and average persistence landscapes can be combined with machine learning techniques to analyze high-resolution images of a cell's actin cytoskeleton. Discover a general approach that can be applied to various image classes, covering topics such as data science, persistence landscapes, stability, and support vector regression. Gain insights into the challenges and potential of this innovative method for analyzing biological structures through visualization techniques and real-world examples.

Peter Bubenik - Topological Data Analysis for Biological Images

Applied Algebraic Topology Network
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