Predictive value of admission hyperglycaemia on mortality in patients with acute myocardial infarction

…, A Penfornis, L Thebault, D Boumal… - Diabetic …, 2006 - Wiley Online Library
Rationale and aim In patients with an acute myocardial infarction, admission hyperglycaemia
(AH) is a major risk factor for mortality. However, the predictive value of AH, when the risk …

Use of dobutamine stress echocardiography in detecting silent myocardial ischaemia in asymptomatic diabetic patients: a comparison with thallium scintigraphy and …

A Penfornis, C Zimmermann, D Boumal… - Diabetic …, 2001 - Wiley Online Library
Aims Silent myocardial ischaemia is frequent in diabetic patients. The aim of this study was
to compare the efficacy of thallium‐201 single‐photon emission computed tomography ( 201 …

Nonconvex phase synchronization

N Boumal - SIAM Journal on Optimization, 2016 - SIAM
… for d > 2; see [17, 44, 11, 8] among others. In this scenario, C is a block matrix, with off-diagonal
blocks of size d × d being noisy measurements of relative transformations in Rd. For d = 3…

[BOOK][B] An introduction to optimization on smooth manifolds

N Boumal - 2023 - books.google.com
… Over the course of his career, Boumal has contributed to several modern theoretical advances
in … We aim to pick D such that there exists a valid (or approximately valid) choice of C with …

[PDF][PDF] Isotopic findings in anomalous origin of the left coronary artery from the pulmonary artery: report of an adult case

…, YF Bernard, JC Cardot, D Boumal… - Journal of Nuclear …, 1991 - Soc Nuclear Med
Preoperatively, LV contraction appears normal at rest, but exercise induces marked hypokinesis
in the septum and apical area. Two years after reimplantationof the left coronary artery …

Open problem: polynomial linearly-convergent method for g-convex optimization?

…, D Martínez-Rubio, N Boumal - The Thirty Sixth …, 2023 - proceedings.mlr.press
… A subset D of M is g-convex if for all x, y ∈ D there is a unique … in D (this is sometimes
called strongly gconvex (Boumal… A function f : D → R is g-convex in D if f ◦ γ is convex for all …

Open problem: polynomial linearly-convergent method for geodesically convex optimization?

C Criscitiello, D Martínez-Rubio, N Boumal - arXiv preprint arXiv …, 2023 - arxiv.org
… A subset D of M is g-convex if for all x, y ∈ D there is a unique minimizing … D (this is sometimes
called strongly gconvex (Boumal, 2023, Sec. 11.3)). A function f : D → R is g-convex in D if …

Efficiently escaping saddle points on manifolds

C Criscitiello, N Boumal - Advances in Neural Information …, 2019 - proceedings.neurips.cc
… Let M be a d-dimensional Riemannian manifold: a real, smooth d-manifold equipped with
a Riemannian metric. We associate with each x 2 M a d-dimensional real vector space TxM, …

[PDF][PDF] Manopt, a Matlab toolbox for optimization on manifolds

N Boumal, B Mishra, PA Absil, R Sepulchre - The Journal of Machine …, 2014 - jmlr.org
… ∈ Rn×n is the weighted adjacency matrix and D ∈ Rn×n is the diagonal degree matrix
with Dii = ∑j wij, the graph Laplacian is the positive semidefinite matrix L = D − W. The max-cut …

Deterministic Guarantees for Burer‐Monteiro Factorizations of Smooth Semidefinite Programs

N Boumal, V Voroninski… - Communications on Pure …, 2020 - Wiley Online Library
We consider semidefinite programs (SDPs) with equality constraints. The variable to be
optimized is a positive semidefinite matrix X of size n. Following the Burer‐Monteiro approach, …