Introduction to Manifold Learning and Information Geometry

Here is my material in the subject of Manifold Learning and the ideas on Information Geometry.

1. Riemann Manifolds

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2. Curves

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3. Surfaces in the Space

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4. Tangent Space

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5. Curvature and Differential Forms

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6. Information Geometry in Neural Networks

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7. Riemann Feedforward Networks

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8. Geometric Neural Networks

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9. Asymptotic Theory of Statistical Inference

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10. Estimation in the Presence of Hidden Variables

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11. Clustering Patterns

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12. Geometry of Support Vector Machines

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13. The Geometry of Boosting

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14. Stochastic Reasoning

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15. The Geometry of Quantum Computing

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UNDER CONSTRUCTION