4 problems

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Conjecture on extending tensor-train operations to quantum computers
Tensor-train operation extension conjecture. Other operations with Tensor Trains should also be extendable to quantum computers; in particular, multiplication by a TT-matrix appear…
Conjectureopennumerical-analysis quantum-computing tensor-trainsarXiv posted 2 days ago
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The tensor-train conjecture for supervised machine learning estimators
Tensor-train (TT) tensors are low-rank tensor representations based on nested matricizations; more generally, tensor networks based on nested matricizations provide structured repr…
Conjectureopenmachine-learning tensor-networks tensor-trainsarXiv posted 2 days ago
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Conjecture on the advantage of the approach for stochastic control
The paper considers a deterministic optimal control problem and an approach based on policy iteration, the generalised Hamilton-Jacobi-Bellman equation, and an empirical Dirac–Fren…
Conjectureopenoptimal-control stochastic-control tensor-trainsarXiv posted 2 days ago
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Exponential accuracy in the average TT-rank for cross interpolation
Let $d$ be the dimension, $n$ the number of points in each one-dimensional quadrature rule, $r$ the average tensor-train rank, and $N_{\mathrm{eval}}$ the number of samples evaluat…
Conjectureopenhigh-dimensional-integration numerical-analysis tensor-trainsarXiv posted 2 days ago

Conjecture on extending tensor-train operations to quantum computers