Variationally correct loss functions for nonlinear parametric problems and their neural approximations WFR2WNW8NB

URI	`m2://res/WFR2WNW8NB`
Kind	preprint
Creators	Pablo Cortés Castillo, Wolfgang Dahmen, Jay Gopalakrishnan
Date	2026-10-13
MSC	65-XX
Subjects	arxiv math.NA, arxiv cs.NA
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Variational correctness of the Kirchhoff NFOSLS loss	statement	theorem 4.6	arxiv
Variational correctness of the Kirchhoff NDPG loss	statement	theorem 4.10	arxiv
4YBE7NS3E1	statement	proposition 4.9	arxiv
Variational correctness of the NDPG loss function	statement	theorem 3.9	arxiv
AF2GFBPM9D	statement	corollary 3.14	arxiv
AVGV7JXE52	statement	proposition 3.8	arxiv
Variational correctness of the NFOSLS loss for the quasilinear case	statement	theorem 3.6	arxiv
The inverse flux	statement	lemma 3.2	arxiv
DH78F1GZMQ	example	example 3.15	arxiv
EK1M14KG2T	statement	lemma 3.4	arxiv
Linearization	statement	lemma 4.4	arxiv
KZR4K7B8T4	statement	corollary 3.12	arxiv
Invertible profile	example	example 3.10	arxiv
N7QWR5VP8G	statement	proposition 4.7	arxiv
NETZCPBS0P	statement	proposition 4.5	arxiv
NJM1WDYVPE	statement	proposition 3.5	arxiv
QPWZ53PJ87	statement	lemma 4.3	arxiv
Local two-sided bounds for nonlinear residual loss with data oscillation	statement	theorem 2.4	arxiv
TYZRJW43TN	statement	lemma 3.3	arxiv
WZB7BYY7N8	example	example 4.2	arxiv
YFPT73S2TJ	definition	definition 2.1	arxiv
ZXAQ19PE3D	statement	proposition 3.7	arxiv