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cs.LG2026
Mathematical analysis of one-layer neural network with fixed biases, a new activation function and other observations
Fabricio Macià, Shu Nakamura
We analyze a simple one-hidden-layer neural network with ReLU activation functions and fixed biases, with one-dimensional input and output. We study both continuous and discrete ve…
math.NA2026
Characterization of Dirichlet-to-Neumann maps via the Born approximation
Carlos Castro, Fabricio Macià, Cristóbal Meroño +1
The problem of identifying the set of Dirichlet-to-Neumann (DtN) maps arising from conductivities on a smooth domain, among operators acting on functions on the boundary, is a chal…