CaCuTe Meets SESOP: Better Theory and Practice with Lipschitz Hessians VV5CH6Y31D

URI	`m2://res/VV5CH6Y31D`
Kind	preprint
Creators	Nazarii Tupitsa
Date	2026-10-05
MSC	49-XX, 90-XX, 93-XX
Subjects	arxiv math.OC
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-10-05
Ids	arXiv 2610.06557

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
Accelerated restart control with finite model solves	statement	corollary 4.9	arxiv
Optional fourth memory direction	statement	corollary 4.7	arxiv
2P067EZ7MN	statement	theorem	arxiv
Decrease controls the projected gradient	statement	lemma 2.6	arxiv
Weighted interval estimate	statement	lemma 3.1	arxiv
A locally contracting epoch	statement	lemma 4.4	arxiv
Amortized trial and oracle counts	statement	proposition B.6	arxiv
Inexact reduced cubic solves	statement	proposition 4.8	arxiv
Model step and level-set invariance	statement	lemma 2.5	arxiv
Local PL convergence and finite trajectory length	statement	theorem 3.9	arxiv
Inverse-square convergence with deterministic epochs	statement	theorem 4.2	arxiv
Finite backtracking and bounded coefficients	statement	theorem B.1	arxiv
Reduced solve and oracle count	statement	proposition 2.4	arxiv
A constructive bound for the reduced cubic solve	statement	proposition C.1	arxiv
Comparable-weight window	statement	lemma 3.3	arxiv
Automatic local convergence with adaptation	statement	proposition B.4	arxiv
Automatic local acceleration with a global guarantee	statement	theorem 4.5	arxiv
Properties of one iteration	statement	proposition 2.9	arxiv
One-step bounds for CaCuSESOP	statement	lemma 5.1	arxiv
The iterates enter the local region	statement	lemma 3.6	arxiv
Adaptive deterministic epochs	statement	corollary B.3	arxiv
A finite global-to-local complexity bound	statement	corollary 4.6	arxiv
JSXR4YZTWQ	problem	problem	arxiv
Gradient decrease	statement	lemma 2.7	arxiv
Local PL convergence and finite trajectory length with backtracking	statement	corollary B.5	arxiv
CaCuSESOP with controlled restarts	statement	corollary 5.2	arxiv
An epoch with an arbitrary initial weight	statement	lemma 4.1	arxiv
The error after one model step	statement	lemma 3.7	arxiv
Global rate with adaptive regularization	statement	theorem B.2	arxiv
Adapted classical Krylov lower bound	statement	theorem 4.3	arxiv
Prefix estimates	statement	lemma 3.2	arxiv
Global convergence with three HVPs	statement	theorem 3.4	arxiv
Weight identities	statement	lemma 2.8	arxiv
Local linear rate without a supplied modulus	statement	theorem 3.8	arxiv

Catalogue records

arxiv: 2610.06557 (work)
arxiv_text: 2610.06557 (work)