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P. Toint

30 papers hereh-index 5918.2k citations346 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • middle author1
  • last author29

Across the 30 of 30 papers where every author was matched, so the position is known.

fields
  • math.OC25
  • math.NA3
  • cs.LG1
  • math.ST1

identity via Semantic Scholar / OpenAlex

activity
20172024
most citedEvaluation complexity bounds for smooth constrained nonlinear optimisation using scaled KKT conditions, high-order models and the criticality measure χ

4 citations · 15 across the 15 of their papers we have counts for

collaborators
Showing 2018 · math.OCShow all

3 papers · 2 filters

math.OC2018

Universal regularization methods - varying the power, the smoothness and the accuracy

Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint

Adaptive cubic regularization methods have emerged as a credible alternative to linesearch and trust-region for smooth nonconvex optimization, with optimal complexity amongst secon…

math.OC2018

Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints

Coralia Cartis, Nick I. M. Gould, Philippe L. Toint

We provide sharp worst-case evaluation complexity bounds for nonconvex minimization problems with general inexpensive constraints, i.e.\ problems where the cost of evaluating/enfor…

math.OC2018

Adaptive Regularization Algorithms with Inexact Evaluations for Nonconvex Optimization

S. Bellavia, G. Gurioli, B. Morini +1

A regularization algorithm using inexact function values and inexact derivatives is proposed and its evaluation complexity analyzed. This algorithm is applicable to unconstrained p…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.