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math.NA2024
When big data actually are low-rank, or entrywise approximation of certain function-generated matrices
Stanislav Budzinskiy
The article concerns low-rank approximation of matrices generated by sampling a smooth function of two -dimensional variables. We identify several misconceptions surrounding a c…
math.NA2024★ 3 cited
Entrywise tensor-train approximation of large tensors via random embeddings
Stanislav Budzinskiy
The theory of low-rank tensor-train approximation is well understood when the approximation error is measured in the Frobenius norm. The entrywise maximum norm is equally important…