Birs- 23w5070: Random Algebraic Geometry

  1. Title:
    Real zeros of random structured polynomials

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  2. Title:
    Average degree of the essential variety

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  3. Title:
    Spectrahedral regression

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  4. Title:
    Random monomial ideals and their free resolutions

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  5. Title:
    Exploring the real parameter space

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  6. Title:
    Robust probabilistic bounds on the number of real zeros

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  7. Title:
    The probabilistic lens and the geometry of polynomials

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  8. Title:
    On the expected number of real roots of polynomials and exponential sums

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  9. Title:
    Sparse factorizations of real polynomials & linear convolutional neural networks

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  10. Title:
    Randomness and conjectures about syzygies

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  11. Title:
    A probabilistic approach to Noether normalization

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  12. Title:
    Multigraded ideals with radical support

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  13. Title:
    Expectation of a random submanifold

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  14. Title:
    Homotopies of probability distributions for variational inference

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  15. Title:
    Applications of real algebraic geometry to two problems in analysis

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  16. Title:
    Smale's 6th problem for generic masses

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