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cs.LG2026
A Hand-Checkable Proof That Two Hidden ReLU Layers Compute the Maximum of Six Numbers
Dimitrios Myrisiotis
Exactly computing the maximum function is a standard test case for studying depth in ReLU networks. Two hidden layers are known to suffice for up to twelve inputs through computer-…
cs.DS2026
Approximating the Trace Distance Between Product Quantum States
Kun He, Dimitrios Myrisiotis, Junhong Nie +1
We study the trace distance \[D_{\mathrm{tr}}(ρ,σ) =\frac12\|ρ-σ\|_1, ρ=\bigotimes_{i=1}^nρ_i,\quad σ=\bigotimes_{i=1}^nσ_i, \] when the two exponentially large states are specifie…