Classification of Turkish <i>makam</i> music: a topological approach

Aktaş, Mehmet Emin; Akbaş, Esra; Papayik, Jason; Kovankaya, Yunus

doi:10.1080/17459737.2019.1622810

Cited by 7 publications

(1 citation statement)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The author in [14] studies the co-occurrence networks of microbial communities to analyze the fecal microbiota transplantation in the treatment of C. difficile infection. Besides, in [40] and [41], the authors use DFF to classify music networks and text networks respectively. After defining DFF on networks, they use DFF values for classification.…”

Section: ) Diffusion Fréchet Function In Network Miningmentioning

confidence: 99%

Graph Classification via Heat Diffusion on Simplicial Complexes

Aktaş

Akbaş

2021

IEEE Access

Self Cite

View full text Add to dashboard Cite

In this paper, we study the graph classification problem in vertex-labeled graphs. Our main goal is to classify the graphs comparing their higher-order structures thanks to heat diffusion on their simplices. We first represent vertex-labeled graphs as simplex-weighted super-graphs. We then define the diffusion Fréchet function over their simplices to encode the higher-order network topology and finally reach our goal by combining the function values with machine learning algorithms. Our experiments on real-world bioinformatics networks show that using diffusion Fréchet function on simplices is promising in graph classification and more effective than the baseline methods. To the best of our knowledge, this paper is the first paper in the literature using heat diffusion on higherdimensional simplices in a graph mining problem. We believe that our method can be extended to different graph mining domains, not only the graph classification problem.

show abstract

Section: ) Diffusion Fréchet Function In Network Miningmentioning

confidence: 99%