Topological Data Analysis of High-dimensional Correlation Structures
S. Prada Alonso
This work englobes a comprehensive study of the correlation of high-dimensional datasets from a topological perspective. Derived from a lack of efficient algorithms of big data analysis and motivated by the importance of finding a structure of correlations in genomics, we have developed two analytical tools inspired by the topological data analysis approach. We applied graph-theoretic and algebraic topology principles to quantify structural patterns on local correlation networks and, based on them, we proposed a network model to measure the evolution of the correlation with the aging process. Furthermore, we developed a powerful computational algorithm to analyze the correlation structure globally that could serve as a diagnostic tool. Overall, this work establishes a novel perspective of analysis and modulation of hidden correlation structures contributing to the understanding of the epigenetic processes, and that is designed to be useful for non-biological fields too.
Keywords: Topological data analysis, correlation, high-dimensional data, epigenetics
Scheduled
RSME-SEIO Invited Session: Topological Data Analysis
June 10, 2022 10:10 AM
A16
Other papers in the same session
M. J. Jiménez Rodríguez, B. Medrano Garfia
N. Atienza Martínez
A. Cuevas González
Latest news
-
6/8/22
Visit Alhambra
Tomorrow, Thursday, we will visit the Alhambra. 1. At 7:00 p.m., buses will start leaving from the door of the Hotel Granada Center (in front of the door of the Faculty of Sciences) 2. Upon arrival, groups with guides will be organized. 3. There will be groups in English language. These groups will wait at the destination until the arrival of all buses. 4. After the visit to the Alhambra we will walk to the Carmen de los Mártires to have a cocktail. 5. On the way back, we can go back by bus, which will leave from the same place where they left us at the Alhambra. 6. Although the way to the Alhambra by bus seems long, it really is close to the city. We invite you, whoever wishes, to go down for a pleasant walk. 7. Do not forget to take your Alhambra ticket and your identity card or passport. The document must be the same whose number matches the ticket number you have.
-
5/31/22
YouTube Channel
The menu label is already on the web from where you can see the live broadcasts: inauguration, plenary sessions, round tables,... Don't forget to enter the YouTube channel and subscribe!!!!
-
5/27/22
Gala Dinner
It opens the possibility that anyone who is registered for the conference, and wants non-registered companions to attend the gala dinner, can do so by paying the price of this dinner (80 euros VAT included). This payment must be made before June 1 (inclusive). To do this, contact with [email protected]
-
5/23/22
IMPORTANT WARNING
To access the Alhambra on the visit on Thursday 9, it is obligatory to present the identification document whose reference was sent to the organization (eurocongress)
-
5/16/22
Social Events
All social events are included with the payment of the corresponding registration.
