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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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2 results for “scalar-on-tensor”

Efficient Decision Trees for Tensor Regressionscs.LG

A new tree method for tensor data improves regression accuracy.

problem Efficiently modeling tensor data for regression problems.

method Scalar-output regression tree models for scalar-on-tensor problems, and tensor-on-tensor problems using additive tree ensemble approaches.

result The tensor-input tree (TT) method outperforms tensor-input GP models in efficiency and accuracy.

tensor regression decision trees scalar-on-tensor tensor-on-tensor regression accuracy

2024-08-04abs ↗pdf ↗

Tensor-on-Tensor Regression: Riemannian Optimization, Over-parameterization, Statistical-computational Gap, and Their Interplaymath.ST

New methods solve tensor-on-tensor regression with unknown rank, revealing benefits of over-parameterization.

problem Connecting tensor responses to tensor covariates with unknown intrinsic rank.

method Riemannian gradient descent and Riemannian Gauss-Newton methods for tensor-on-tensor regression.

result Riemannian optimization methods converge linearly and quadratically to a statistically optimal estimate in rank over-parameterized settings.

tensor-on-tensor regression Riemannian optimization over-parameterization statistical-computational gap Tucker rank

2022-06-17abs ↗pdf ↗