3 papers
math.OC2026
Exact ReLU realization of binary affine refinement iterates via reflection folding and cone switching
Boldsaikhan Bolorkhuu, Tsogtgerel Gantumur
We study vector-valued binary affine refinement operators with finitely supported matrix masks and compactly supported continuous piecewise linear input and forcing data. We prove…
cs.LG2026
Exact ReLU realization of affine one-dimensional refinement iterates via residual memory and offset frames
Boldsaikhan Bolorkhuu, Tsogtgerel Gantumur
We study vector-valued affine refinement operators of the form [ (Wγ)(t)=\sum_{j\in\mathbb{Z}} A_jγ(Mt-j)+B(t), ] with finitely supported matrix mask and compactly supported contin…
math.CA2026
Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements
Boldsaikhan Bolorkhuu, Tsogtgerel Gantumur
We study homogeneous refinement operators \((Vγ)(t)=\sum_{j\in\mathbb Z}A_jγ(Mt-j)\), acting on compactly supported continuous piecewise linear curves \(γ:\mathbb R\to\mathbb R^p\)…