Research map / Probabilistic and scientific modeling / Bayesian optimization
High-Dimensional Bayesian Optimization via Nested Riemannian Manifolds
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use HD-GaBO instead of competing BO approaches | Sphere-manifold optimization · Product-of-sines on S^5 embedded in S^50 | log simple regret | Helped |
| Use HD-GaBO instead of competing BO approaches | SPD-manifold optimization · Styblinski-Tang on SPD S++^3 embedded in S++^10 | log simple regret | Helped |
| Use HD-GaBO instead of competing BO approaches | Sphere-manifold optimization · Rosenbrock on S^5 embedded in S^50 | log simple regret | Mixed |
| Use HD-GaBO instead of competing BO approaches | Sphere-manifold optimization · Ackley on S^5 embedded in S^50 | log simple regret | No clear effect |
| Use geometry-aware optimization rather than geometry-unaware BO | Sphere-manifold optimization · Product-of-sines on S^5 embedded in S^50 | log simple regret | Helped |
| Use Cholesky-based parameterization instead of direct Euclidean parameterization | Euclidean BO methods on SPD matrices · Rosenbrock, Styblinski-Tang, and product-of-sines on SPD S++^3 embedded in S++^10 | log simple regret | Helped |
| Use HD-GaBO instead of competing BO approaches | SPD-manifold optimization · Rosenbrock on SPD S++^3 embedded in S++^10 | log simple regret | Mixed |
| Use HD-GaBO instead of competing BO approaches | Sphere-manifold optimization · Rosenbrock, Ackley, and product-of-sines on S^5 embedded in S^70 | log simple regret | Mixed |
| Use HD-GaBO instead of competing BO approaches | SPD-manifold optimization · Rosenbrock, Styblinski-Tang, and product-of-sines on SPD S++^3 embedded in S++^12 | log simple regret | Mixed |
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