Skip to the content

Math 2.0

Resources / preprint

Detecting a Shift Is Not Enough: Exact Minimax Limits of Linear Representation Repair TVW9BTWJ3D

URI	`m2://res/TVW9BTWJ3D`
Kind	preprint
Creators	Anuar Aimoldin, Yankai Chen, Ayana Mussabayeva, Xue Liu
Date	2026-10-06
Subjects	arxiv cs.LG, arxiv math.ST, arxiv stat.ML, arxiv stat.TH
Scope	border

Expressions

e1: version, preprint

Date	2026-10-06
Ids	arXiv 2610.08069

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
Source-aware subtraction	statement	proposition 10	arxiv
Two-level calibration	statement	corollary 8	arxiv
Repair is subspace estimation	statement	lemma 1	arxiv
A stronger certificate with estimated scale	statement	corollary 17	arxiv
Abstention cannot close the gap at a fixed frequency	statement	corollary 12	arxiv
Expected residual of one-direction empirical erasure	statement	corollary 4	arxiv
Confidence-ball action with estimated scale	statement	theorem 16	arxiv
Exact selective frontier	statement	theorem 6	arxiv
Excess residual of a fitted deleted subspace	statement	corollary 5	arxiv
Exact all-linear frontier	statement	theorem 2	arxiv
Exact average-budget frontier	statement	theorem 13	arxiv
Confidence-ball action rule	statement	theorem 14	arxiv
A sharp constant-strength action boundary	statement	corollary 18	arxiv
A detection--repair gap	statement	corollary 3	arxiv
The hard-budget optimum with unknown noise scale	statement	corollary 11	arxiv
Finite-mixture action certificate	statement	theorem 15	arxiv
The frontier with arbitrary shared content	statement	corollary 9	arxiv
Bounds under anisotropic noise	statement	proposition 7	arxiv

Catalogue records

arxiv: 2610.08069 (work)