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Calculus of the Exponent of Kurdyka–Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order Methods

Foundations of computational mathematics, 2018-10, Vol.18 (5), p.1199-1232

2018

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Linear Convergence of Gradient and Proximal-Gradient Methods Under the Polyak-Łojasiewicz Condition

Machine Learning and Knowledge Discovery in Databases, 2016, Vol.9851, p.795-811

2016

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Splitting Methods with Variable Metric for Kurdyka–Łojasiewicz Functions and General Convergence Rates

Journal of optimization theory and applications, 2015-06, Vol.165 (3), p.874-900

2015

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Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

Mathematics of operations research, 2010-05, Vol.35 (2), p.438-457

2010

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Uniqueness of blowups and Łojasiewicz inequalities

Annals of mathematics, 2015-07, Vol.182 (1), p.221-285

2015

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Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality

SIAM journal on optimization, 2015-01, Vol.25 (1), p.622-646

2015

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The generalized Łojasiewicz inequality for definable and subanalytic multifunctions

Journal of mathematical analysis and applications, 2025-03, Vol.543 (2), p.128977, Article 128977

Kosiba, Michał

2025

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Characterizations of Łojasiewicz inequalities: Subgradient flows, talweg, convexity

Transactions of the American Mathematical Society, 2010-06, Vol.362 (6), p.3319-3363

2010

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Targeted and non-targeted identification of dye and chemical contaminants in Loji River, Indonesia using FT-ICR-MS

Chemosphere (Oxford), 2024-10, Vol.365, p.143324, Article 143324

2024

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Chemical composition and selective BuChE inhibitory activity of the essential oils from aromatic plants used to prepare the traditional Ecuadorian beverage horchata lojana

Journal of ethnopharmacology, 2020-12, Vol.263, p.113162-113162, Article 113162

2020

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Quadratic optimization with orthogonality constraint: explicit Łojasiewicz exponent and linear convergence of retraction-based line-search and stochastic variance-reduced gradient methods

Mathematical programming, 2019-11, Vol.178 (1-2), p.215-262

2019

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The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems

SIAM journal on optimization, 2007-01, Vol.17 (4), p.1205-1223

2007

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Kurdyka–Łojasiewicz Exponent via Inf-projection

Foundations of computational mathematics, 2022-08, Vol.22 (4), p.1171-1217

2022

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Hydrochemical characterization of groundwater in the Loja Basin (Ecuador)

Applied geochemistry, 2019-05, Vol.104, p.1-9

2019

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Convergence rates for the heavy-ball continuous dynamics for non-convex optimization, under Polyak–Łojasiewicz condition

Journal of global optimization, 2022-11, Vol.84 (3), p.563-589

2022

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On Łojasiewicz inequalities and the effective Putinar's Positivstellensatz

Journal of algebra, 2025-01, Vol.662, p.741-767

2025

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Convergence of Random Reshuffling under the Kurdyka–Łojasiewicz Inequality

SIAM journal on optimization, 2023-01, Vol.33 (2), p.1092-1120

2023

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CONOCIMIENTOS SOBRE EL VIRUS DEL PAPILOMA HUMANO EN ESTUDIANTES DE ENFERMERÍA DE LA UNIVERSIDAD NACIONAL DE LOJA

Enfermería Investiga, 2022-07, Vol.7 (3), p.52-58

2022

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Probabilistic landslide hazard assessments: adaptation of spatial models to large slow-moving earth flows and preliminary evaluation in Loja (Ecuador)

Environmental earth sciences, 2024-10, Vol.83 (20), p.596, Article 596

2024

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The Łojasiewicz–Simon gradient inequality for open elastic curves

Journal of Differential Equations, 2016-08, Vol.261 (3), p.2168-2209

2016

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On the Łojasiewicz–Simon gradient inequality on submanifolds

Journal of functional analysis, 2020-11, Vol.279 (8), p.108708, Article 108708

Rupp, Fabian

2020

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Convergence Analysis of the Proximal Gradient Method in the Presence of the Kurdyka–Łojasiewicz Property Without Global Lipschitz Assumptions

SIAM journal on optimization, 2023-01, Vol.33 (4), p.3038-3056

2023

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On the Relationship Between the Kurdyka–Łojasiewicz Property and Error Bounds on Hadamard Manifolds

Journal of optimization theory and applications, 2024-03, Vol.200 (3), p.1255-1285

2024

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Convergence rates of the Heavy-Ball method under the Łojasiewicz property

Mathematical programming, 2023-03, Vol.198 (1), p.195-254

2023

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Convergence Rates of Zeroth Order Gradient Descent for Łojasiewicz Functions

INFORMS journal on computing, 2024-03

2024

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Calculus of the Exponent of Kurdyka–Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order Methods

Linear Convergence of Gradient and Proximal-Gradient Methods Under the Polyak-Łojasiewicz Condition

Splitting Methods with Variable Metric for Kurdyka–Łojasiewicz Functions and General Convergence Rates

Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

Uniqueness of blowups and Łojasiewicz inequalities

Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality

The generalized Łojasiewicz inequality for definable and subanalytic multifunctions

Characterizations of Łojasiewicz inequalities: Subgradient flows, talweg, convexity

Targeted and non-targeted identification of dye and chemical contaminants in Loji River, Indonesia using FT-ICR-MS

Chemical composition and selective BuChE inhibitory activity of the essential oils from aromatic plants used to prepare the traditional Ecuadorian beverage horchata lojana

Quadratic optimization with orthogonality constraint: explicit Łojasiewicz exponent and linear convergence of retraction-based line-search and stochastic variance-reduced gradient methods

The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems

Kurdyka–Łojasiewicz Exponent via Inf-projection

Hydrochemical characterization of groundwater in the Loja Basin (Ecuador)

Convergence rates for the heavy-ball continuous dynamics for non-convex optimization, under Polyak–Łojasiewicz condition

On Łojasiewicz inequalities and the effective Putinar's Positivstellensatz

Convergence of Random Reshuffling under the Kurdyka–Łojasiewicz Inequality

CONOCIMIENTOS SOBRE EL VIRUS DEL PAPILOMA HUMANO EN ESTUDIANTES DE ENFERMERÍA DE LA UNIVERSIDAD NACIONAL DE LOJA

Probabilistic landslide hazard assessments: adaptation of spatial models to large slow-moving earth flows and preliminary evaluation in Loja (Ecuador)

The Łojasiewicz–Simon gradient inequality for open elastic curves

On the Łojasiewicz–Simon gradient inequality on submanifolds

Convergence Analysis of the Proximal Gradient Method in the Presence of the Kurdyka–Łojasiewicz Property Without Global Lipschitz Assumptions

On the Relationship Between the Kurdyka–Łojasiewicz Property and Error Bounds on Hadamard Manifolds

Convergence rates of the Heavy-Ball method under the Łojasiewicz property

Convergence Rates of Zeroth Order Gradient Descent for Łojasiewicz Functions

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