Statistical attribute alignment for black-box generative AI via output post-processing H9X9WZ17TT

URI	`m2://res/H9X9WZ17TT`
Kind	preprint
Creators	Kevin Jiang, Morgane Austern, Edgar Dobriban, Jason M. Klusowski
Date	2026-09-25
Subjects	arxiv stat.ME, arxiv cs.AI, arxiv cs.LG, arxiv math.ST, arxiv stat.TH
Scope	border

Expressions

e1: version, preprint

Date	2026-09-25
Ids	arXiv 2609.31607

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
1B97E6TMSW	statement	theorem	arxiv
Count-conditional statistical alignment discrepancy	definition	definition 13	arxiv
No capped-budget universal exactness	statement	theorem 23	arxiv
Minimal sufficiency of source counts	statement	proposition 27	arxiv
Optimality for universal sampling with known source rates	statement	proposition 22	arxiv
Optimal count-conditional frontier	statement	theorem 17	arxiv
Thresholded anytime RDC (TA-RDC	definition	definition 18	arxiv
A6QA25YWJ6	statement	theorem	arxiv
Finite-sample and first-order universal approximate optimality of TA-RDC	statement	theorem 20	arxiv
BPSMR4HJ7N	statement	theorem	arxiv
$f$-divergences	definition	definition 9	arxiv
Universal expected M-cost lower bound	statement	theorem 8	arxiv
Conditional Wald identity	statement	lemma 26	arxiv
Black-box post-processing algorithms	definition	definition 2	arxiv
Universal exactness	definition	definition 4	arxiv
E3C8MV7AY8	statement	theorem	arxiv
FCA0Q6RZ0X	statement	theorem	arxiv
Oracle rejection sampler	definition	definition 21	arxiv
Universal source-rate-free lower bound and RDC upper bound	statement	theorem 7	arxiv
M- and E-sampling	definition	definition 1	arxiv
Exact source-rate-free unconditional sampling	statement	theorem 5	arxiv
Unconditional statistical alignment discrepancy	definition	definition 10	arxiv
Anytime random demand coupon collector (A-RDC	definition	definition 16	arxiv
Finite-sample exact-or-certified optimality	statement	theorem 19	arxiv
M-cost	definition	definition 3	arxiv
V3P8D53Y2A	statement	theorem	arxiv
Relation between the unconditional and count-conditional criteria	statement	proposition 14	arxiv
Universal $\varepsilon$-approximate sampling	definition	definition 11	arxiv
Randomized-mass RDC (RM	definition	definition 24	arxiv
YVGBE3C3JX	statement	theorem	arxiv
Tail-sum and Poissonized integral formulas	statement	proposition 25	arxiv
Universal source-rate-free M-cost	definition	definition 12	arxiv
Bounds for a capped KL projection	statement	lemma 28	arxiv
Exact optimality for one returned output	statement	theorem 6	arxiv

Catalogue records

arxiv: 2609.31607 (work)