OpenAI Math·Subject
Convex and metric geometry
15 of the 372 results in OpenAI's maths catalogue are in convex and metric geometry. Each page quotes OpenAI's own summary, links the preprints and embeds the animation once it is released. 1 of them have a video so far.
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Videos in Convex and metric geometry
All 15 results
- 087The Mahler conjectures, functional inequalities and polar-product symplectic widthVideoLean
- 088Sharp projection-body inequalities and a counterexample to simplex maximizationLean
- 089Bounded-distortion L1 embeddings of planar and bounded-treewidth graphsLean
- 090Triangular-lattice optimality, long-range Riesz and Coulomb energies, and spherical logarithmic energyLean
- 091Logarithmic and Lp Brunn–Minkowski inequalities and the B-conjectureLean
- 092The optimal order of convex-body covering densityLean
- 093Dimension-free logarithmic Sobolev inequality for subgaussian log-concave measures
- 094Subpolynomial dimension reduction in LpLean
- 095Hyperbolicity cones without semidefinite liftsLean
- 096The Gaussian propeller conjecture in every dimensionLean
- 097The Euclidean Steinitz–Bergström boundLean
- 098Compact counterexamples to bi-Lipschitz dimension reductionLean
- 099The sharp exponential scale of edit-distance distortionLean
- 100Cylinder coverings below the half-area boundLean
- 101The sharp simplex conjecture for isotropic constants
Other subjects
- Theoretical computer science 40
- Combinatorics 37
- Algebraic and complex geometry 36
- Number theory 31
- Differential geometry 29
- Probability and statistical mechanics 29
- Mathematical physics 25
- Operator algebras 19
- Algebra 18
- Topology 18
- Partial differential equations 16
- Real and complex analysis 16
- Group theory 14
- Dynamical systems and ergodic theory 12
- Functional analysis 11
- Mathematical logic 6