2016 journal article

DISCOVERING THE WHOLE BY THE COARSE A topological paradigm for data analysis

IEEE SIGNAL PROCESSING MAGAZINE, 33(2), 95–104.

By: H. Krim n, T. Gentimis* & H. Chintakunta*

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
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.

By: A. Wilkerson n, H. Chintakunta n & H. Krim n

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.

By: H. Chintakunta n & H. Krim n

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
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.

By: S. Emrani n, H. Chintakunta n & H. Krim n

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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