Works (4)
Updated: July 5th, 2023 15:42
2016 journal article
DISCOVERING THE WHOLE BY THE COARSE A topological paradigm for data analysis
IEEE SIGNAL PROCESSING MAGAZINE, 33(2), 95–104.
TL;DR:
The increasing interest in big data applications is ushering in a large effort in seeking new, efficient, and adapted data models to reduce complexity, while preserving maximal intrinsic information.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2014 conference paper
Computing persistent features in big data: A distributed dimension reduction approach
International conference on acoustics speech and signal processing.
TL;DR:
A simplicial collapse algorithm called the selective collapse is developed by representing the previously developed strong collapse as a forest and uses that forest data to improve the speed of both the strong collapse and of persistent homology.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2014 journal article
Distributed Localization of Coverage Holes Using Topological Persistence
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 62(10), 2531–2541.
author keywords: Algebraic topology; distributed algorithms; graph theory; sensor networks
TL;DR:
This work uses algebraic topological methods to define a coverage hole, and develops provably correct algorithm to detect a hole, which is then partitioned into smaller subnetworks, ensuring that the holes are preserved, and checking for holes in each.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2014 conference paper
Real time detection of harmonic structure: A case for topological signal analysis
International conference on acoustics speech and signal processing.
TL;DR:
Using delay embeddings, the timedomain signal is transformed into a point cloud, whose topology reflects the periodic behavior of the signal, and the Euler characteristic provides for a fast computation of topology of the resulting manifold.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
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