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Conclusions and open questions
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Classroom Contents
Isotropy and Log-Concave Polynomials
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- 1 Intro
- 2 Sampling from discrete distributions
- 3 Isotropy for continuous distributions
- 4 Isotropy for discrete distributions
- 5 Main results
- 6 Log-concave generating polynomials
- 7 Prior work: Log-concave polynomials
- 8 Determinantal Point Processes (DPPs)
- 9 Prior work: Sampling from DPP
- 10 Distortion-free intermediate sampling beyond DPPS
- 11 New approach: Instant mixing + Hierarchical walk
- 12 Techniques: Negative dependence properties
- 13 Negative dependence for intermediate sampling
- 14 Converting to isotropic position
- 15 Conclusions and open questions
- 16 References
