Yasuaki Hiraoka
- Persistence weighted Gaussian kernel for topological data analysis
2016/01/08 by Genki Kusano, Kusano, Genki, Kenji Fukumizu +3 · 8 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · #Advanced Neuroimaging Techniques and Applications #Algebraic Topology (math.AT) #Cell Image Analysis Techniques #FOS: Mathematics #Topological and Geometric Data Analysis
- Limit theorems for persistence diagrams
2016/12/26 by Trinh Khanh Duy, Duy, Trinh Khanh, Yasuaki Hiraoka +3 · 6 citations
Computer Science · Mathematics · Medicine · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology #Advanced Neuroimaging Techniques and Applications
- Persistent Homology and Many-Body Atomic Structure for Medium-Range Order in the Glass
2015/02/26 by Takenobu Nakamura, Nakamura, Takenobu, Yasuaki Hiraoka +7 · 3 citations
Chemistry · Computer Science · Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Molecular spectroscopy and chirality #Soft Condensed Matter (cond-mat.soft) #Theoretical and Computational Physics #Topological and Geometric Data Analysis
- Kernel method for persistence diagrams via kernel embedding and weight factor
2017/06/12 by Genki Kusano, Kenji Fukumizu, Kusano, Genki +3 · 3 citations
Computer Science · Medicine · Physics and Astronomy · #Advanced Neuroimaging Techniques and Applications #Algebraic Topology (math.AT) #Complex Network Analysis Techniques #Data Analysis #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (stat.ML) #Statistics and Probability (physics.data-an) #Topological and Geometric Data Analysis
- Persistence Diagrams with Linear Machine Learning Models
2017/06/30 by Ippei Obayashi, Yasuaki Hiraoka, Obayashi, Ippei +1 · 3 citations
Computer Science · Biochemistry, Genetics and Molecular Biology · #Topological and Geometric Data Analysis #Cell Image Analysis Techniques #Advanced Fluorescence Microscopy Techniques
- Tutte polynomials and random-cluster models in Bernoulli cell complexes
2016/02/15 by Yasuaki Hiraoka, Tomoyuki Shirai, Hiraoka, Yasuaki +1 · 3 citations
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals
- Minimum spanning acycle and lifetime of persistent homology in the Linial-Meshulam process
2015/03/19 by Yasuaki Hiraoka, Hiraoka, Yasuaki, Tomoyuki Shirai +1 · 1 citation
Computer Science · Mathematics · #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Topological and Geometric Data Analysis
- Algebraic stability theorem for derived categories of zigzag persistence modules
2020/06/12 by Yasuaki Hiraoka, Yuichi Ike, Hiraoka, Yasuaki +3 · 1 citation
Computer Science · Mathematics · #16E35 #16G20 #35A27 #55N99 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Topological and Geometric Data Analysis
- Large deviation principle for persistence diagrams of random cubical filtrations
2022/10/22 by Yasuaki Hiraoka, Hiraoka, Yasuaki, Shu Kanazawa +5 · 1 citation
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Geometry and complex manifolds
- scEGOT: single-cell trajectory inference framework based on entropic Gaussian mixture optimal transport
2024/12/23 by Toshiaki Yachimura, Hanbo Wang, Yusuke Imoto +6 · 1 voice · 2 citations
Biochemistry, Genetics and Molecular Biology · #Cell Image Analysis Techniques #Pluripotent Stem Cells Research #Single-cell and spatial transcriptomics