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cs.LG2025
On the algorithmic construction of deep ReLU networks
Daan Huybrechs
It is difficult to describe in mathematical terms what a neural network trained on data represents. On the other hand, there is a growing mathematical understanding of what neural…
math.NA2025
Function Approximation in Numerically Rank-Deficient Bases
Astrid Herremans, Daan Huybrechs
We study linear function approximation in a finite basis under finite-precision arithmetic. In a highly non-orthogonal basis, certain directions are only weakly represented, so tha…