Search Results for author: Yasuaki Hiraoka

Found 6 papers, 5 papers with code

Topological Node2vec: Enhanced Graph Embedding via Persistent Homology

1 code implementation15 Sep 2023 Yasuaki Hiraoka, Yusuke Imoto, Killian Meehan, Théo Lacombe, Toshiaki Yachimura

Node2vec is a graph embedding method that learns a vector representation for each node of a weighted graph while seeking to preserve relative proximity and global structure.

Graph Embedding

Matrix Method for Persistence Modules on Commutative Ladders of Finite Type

1 code implementation30 Jun 2017 Hideto Asashiba, Emerson G. Escolar, Yasuaki Hiraoka, Hiroshi Takeuchi

In this work, we view a persistence module $M$ on $CL_n(\tau)$ as a morphism between zigzag modules, which can be expressed in a block matrix form.

Representation Theory Algebraic Topology

Persistence Diagrams with Linear Machine Learning Models

2 code implementations30 Jun 2017 Ippei Obayashi, Yasuaki Hiraoka

Persistence diagrams have been widely recognized as a compact descriptor for characterizing multiscale topological features in data.

BIG-bench Machine Learning

Persistence weighted Gaussian kernel for topological data analysis

2 code implementations8 Jan 2016 Genki Kusano, Kenji Fukumizu, Yasuaki Hiraoka

Topological data analysis (TDA) is an emerging mathematical concept for characterizing shapes in complex data.

Algebraic Topology

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