Birs- 12w5081: Topological data analysis and machine learning theory

  1. Title:
    Opening remarks: State of TDA

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  2. Title:
    Persistence Measure and Stability

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  3. Title:
    Algebraic Geometry for Learning Mixtures of Gaussians and Other Distributions

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  4. Title:
    Topological statistical mechanics

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  5. Title:
    Topological Dimensionality Reduction: Using the Toplogy of the Feature Space to Select Optimal Features

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  6. Title:
    Discrete Morse theory as a preprocessor for computing homology

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  7. Title:
    Isotopic Molecular Visualizations

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  8. Title:
    Frechet means for persistence diagrams and vineyads

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  9. Title:
    Persistence Stability for Geometric complexes

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  10. Title:
    Persistence Homology and Metric Geometry

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  11. Title:
    Robust PCA

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  12. Title:
    Combining data transformations and topological methods to address biology-driven problems

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  13. Title:
    Understanding the Gaussian-weighted Graph Laplace Operator

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  14. Title:
    Upper and lower bounds for distance to measure approximation

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  15. Title:
    Spaces of executions as simplicial complexes

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  16. Title:
    Thin position and topological clustering of large data sets

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  17. Title:
    Shape reconstruction in high dimensions with Rips complexes

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  18. Title:
    Inference using a new topological statistic, the persistence landscape

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  19. Title:
    Manifold learning via Lie groups

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  20. Title:
    Topological Data Analysis and Mesh Generation

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