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.
Derives smooth homogeneous structures for low-rank tensors.
New method for tensor recovery with fewer samples.
Quantum state preparation framework speeds up basket option pricing.
We introduce a new parameterization method for deep learning layers using spectral tensor train decomposition.
TTRP method preserves distances in high-dimensional data with reduced storage and speed.
Bayesian tensor train kernel machine uses Laplace approximation for scalable GP regression.
In this paper, we analyze the fundamental conditions for low-rank tensor completion given the separation or tensor-train (TT) rank, i.e., ranks of unfoldings. We exploit the algebraic structure of the TT decomposition to obtain the deterministic necessary and sufficient conditions on the locations of the samples to ens…