Topological complexity of smooth random functions

By Robert J. Adler, Jonathan E. Taylor, École d'été de probabilités de Saint-Flour. 2011

58 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/82e54374b8e587c952d7707300c67eca9511fa17

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Arnaud Doucet
2. Alexandre Bouchard-Cot'e
3. Sandra Jeanne Vollmer
4. Henry Lam
5. Marco Cuturi
6. G. Peyr'e
7. Victor M. Panaretos
8. Yoav Zemel

In Geometry and Topology

1. Arnaud Doucet
2. Alexandre Bouchard-Cot'e
3. Sandra Jeanne Vollmer
4. Henry Lam

In Mathematical Physics

1. Arnaud Doucet
2. Alexandre Bouchard-Cot'e
3. Sandra Jeanne Vollmer
4. Henry Lam
5. Alain Oliviero Durmus
6. Arnaud Guillin
7. Pierre Monmarch'e

Citations in the corpus

• Recovering Best Statistical Guarantees via the Empirical Divergence-Based Distributionally Robust Optimization (2016, methodology): “One approach is to approximate the excursion probability of χ 2 -process by the mean Euler characteristic approximation (e.g., Adler and Taylor (2009), Theorem 13.4.1 and Section 15.10.2, and Adler and Taylor (2011), Theorem 4.8.1): Here m is the dimension of the decision space Θ ⊂ R m .”
• The Bouncy Particle Sampler: A Nonreversible Rejection-Free Markov Chain Monte Carlo Method (2015, methodology): “Using Lemma 1, Parts 4 and 5, we can rewrite the above conditional expectation as: We will use the coarea formula to reorganize the order of integration, see e.g. Section 3.2 of [1].”