Sharp Critical Minimax Laws and No-Learning Thresholds in Continuous-Time Adaptive Control N28DEYRBW7

URI	`m2://res/N28DEYRBW7`
Kind	preprint
Creators	Chen Jia
Date	2026-09-27
MSC	49-XX, 90-XX, 93-XX
Subjects	arxiv math.OC, arxiv cs.LG
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-09-27
Ids	arXiv 2609.33154

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
221D5ASFKE	statement	proposition F.1	arxiv
Relative-deficit bound	statement	lemma G.3	arxiv
Exact subcritical value and cumulant expansion	statement	corollary 3.10	arxiv
Elementary critical bounds	statement	theorem 3.13	arxiv
Equal task variance, different minimax corrections	statement	proposition 3.11	arxiv
Joint bounds for the moving feedback	statement	proposition H.2	arxiv
Full-interval moving-feedback guarantee	statement	theorem 3.6	arxiv
BWFPFTR31C	statement	corollary D.2	arxiv
Two-point posterior on the complete record	statement	lemma A.1	arxiv
Uniform logarithmic deficit--energy law	statement	theorem 3.5	arxiv
Exact single-episode boundary	statement	theorem 3.12	arxiv
Uniform profile estimates	statement	lemma G.2	arxiv
H2TDPKS3RJ	statement	proposition D.1	arxiv
Quantitative task-value comparison	statement	theorem 3.1	arxiv
Matching unrestricted critical law	statement	theorem 3.4	arxiv
Finite-sample exact zero-control regions	statement	theorem 3.8	arxiv
QNN795FH6R	statement	lemma C.2	arxiv
Sharpness of the logarithmic deficit correction	statement	corollary 3.7	arxiv
Finite-sample strict improvement	statement	theorem 3.9	arxiv
SRZXPK3YA1	statement	lemma C.1	arxiv
Task-dependent boundary	statement	corollary 3.3	arxiv
Exact Gaussian no-learning boundary	statement	theorem 3.2	arxiv
Weak-to-standard comparison	statement	lemma B.1	arxiv
Adapted-clock occupation estimate	statement	lemma H.1	arxiv
Expected-energy shape and fourth moment	statement	lemma G.1	arxiv
Uniform second variation	statement	lemma I.1	arxiv
Sharp order within the specified feedback family	statement	theorem 3.14	arxiv
ZT0XB4JB5P	statement	proposition E.1	arxiv

Catalogue records

arxiv: 2609.33154 (work)
arxiv_text: 2609.33154 (work)