Geometric Identification in Predict-Then-Optimize Learning WBQQBZ4FCJ

URI	`m2://res/WBQQBZ4FCJ`
Kind	preprint
Creators	Jiaxiao Xu, Changhong Mou, Keji Liu, Dinghua Xu, Yeyu Zhang
Date	2026-09-27
Subjects	arxiv cs.LG, arxiv math.OC
Scope	border

Expressions

e1: version, preprint

Date	2026-09-27
Ids	arXiv 2609.33472

Items in this resource

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

Item	Kind	Where	Source
Fenchel transition identity	statement	theorem M.1	arxiv
Edge directions span the effective space	statement	lemma 8.5	arxiv
Fenchel absolute-continuity equivalence	statement	theorem M.4	arxiv
Compact support yields a flat SPO+ risk	example	example 4.1	arxiv
Optimal-set containment	statement	theorem B.1	arxiv
Contextual SPO+ Bayes identification	statement	theorem F.2	arxiv
Normal-fan representation of crossing	statement	proposition C.3	arxiv
Atom-free disagreement without crossing	example	example 7.2	arxiv
Quantitative strict crossing (QSC	definition	definition 8.1	arxiv
Selection-balanced exact identification	statement	theorem 8.8	arxiv
Strict crossing alone does not identify the mean	statement	theorem F.1	arxiv
One-dimensional sharp exponent	statement	theorem E.2	arxiv
A face-interior point need not be exposable	example	example B.2	arxiv
Local polynomial coercivity implies quantitative crossing	statement	proposition 8.3	arxiv
Identification if and only if strict crossing	statement	theorem 5.2	arxiv
Direction-covering boundary mass yields quadratic growth	statement	theorem 8.7	arxiv
Centered Bayes minimizer	statement	proposition 3.2	arxiv
Optimal-face strict crossing	definition	definition 5.1	arxiv
Contextual quantitative identification	statement	corollary G.2	arxiv
Local inverse risk and conditional approximate-ERM recovery	statement	corollary E.1	arxiv
Fenchel identification by strict Bregman crossing	statement	theorem M.3	arxiv
Intrinsic full support implies strict crossing	statement	theorem 6.1	arxiv
Centered excess-risk identity	statement	lemma A.1	arxiv
Atomic oracle disagreement without crossing	example	example 7.1	arxiv
Approximate-symmetry Bayes-set localization	statement	theorem G.1	arxiv
Affine-hull obstruction and quotient invariance	statement	proposition C.1	arxiv
Quantitative crossing transfer	statement	theorem 8.2	arxiv
Absolute continuity removes output ambiguity	statement	theorem 7.3	arxiv
ZP3MEMDCPE	statement	theorem	arxiv

Catalogue records

arxiv: 2609.33472 (work)