Radu Ioan Bot

Orcid: 0000-0002-4469-314X

According to our database1, Radu Ioan Bot authored at least 67 papers between 2001 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2023
Fast Krasnosel'skiĭ-Mann Algorithm with a Convergence Rate of the Fixed Point Iteration of \(\boldsymbol{{ o} \left(\frac{1}{{ k}} \right)}\).
SIAM J. Numer. Anal., December, 2023

An accelerated minimax algorithm for convex-concave saddle point problems with nonsmooth coupling function.
Comput. Optim. Appl., December, 2023

Alternating Proximal-Gradient Steps for (Stochastic) Nonconvex-Concave Minimax Problems.
SIAM J. Optim., September, 2023

A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting.
Numer. Algorithms, May, 2023

Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems.
SIAM J. Optim., 2023

Fast Augmented Lagrangian Method in the convex regime with convergence guarantees for the iterates.
Math. Program., 2023

A Relaxed Inertial Forward-Backward-Forward Algorithm for Solving Monotone Inclusions with Application to GANs.
J. Mach. Learn. Res., 2023

Accelerated Griffin-Lim algorithm: A fast and provably converging numerical method for phase retrieval.
CoRR, 2023

A Fast Optimistic Method for Monotone Variational Inequalities.
Proceedings of the International Conference on Machine Learning, 2023

2022
Two Steps at a Time - Taking GAN Training in Stride with Tseng's Method.
SIAM J. Math. Data Sci., June, 2022

Extrapolated Proximal Subgradient Algorithms for Nonconvex and Nonsmooth Fractional Programs.
Math. Oper. Res., 2022

Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems.
Found. Comput. Math., 2022

Fast Krasnosel'skii-Mann algorithm with a convergence rate of the fixed point iteration of o(1/k).
CoRR, 2022

2021
Factorization of completely positive matrices using iterative projected gradient steps.
Numer. Linear Algebra Appl., 2021

Fixing and extending some recent results on the ADMM algorithm.
Numer. Algorithms, 2021

Tikhonov regularization of a second order dynamical system with Hessian driven damping.
Math. Program., 2021

A strongly convergent Krasnosel'skiǐ-Mann-type algorithm for finding a common fixed point of a countably infinite family of nonexpansive operators in Hilbert spaces.
J. Comput. Appl. Math., 2021

A forward-backward dynamical approach for nonsmooth problems with block structure coupled by a smooth function.
Appl. Math. Comput., 2021

2020
The Proximal Alternating Direction Method of Multipliers in the Nonconvex Setting: Convergence Analysis and Rates.
Math. Oper. Res., 2020

Variable Smoothing for Convex Optimization Problems Using Stochastic Gradients.
J. Sci. Comput., 2020

The forward-backward-forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces.
Eur. J. Oper. Res., 2020

2019
A Proximal Minimization Algorithm for Structured Nonconvex and Nonsmooth Problems.
SIAM J. Optim., 2019

Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces.
Optim. Methods Softw., 2019

A general double-proximal gradient algorithm for d.c. programming.
Math. Program., 2019

The Proximal Alternating Minimization Algorithm for Two-Block Separable Convex Optimization Problems with Linear Constraints.
J. Optim. Theory Appl., 2019

Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure.
CoRR, 2019

Forward-backward-forward methods with variance reduction for stochastic variational inequalities.
CoRR, 2019

ADMM for monotone operators: convergence analysis and rates.
Adv. Comput. Math., 2019

2018
Gradient-type penalty method with inertial effects for solving constrained convex optimization problems with smooth data.
Optim. Lett., 2018

2016
Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems.
SIAM J. Control. Optim., 2016

An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems.
Numer. Algorithms, 2016

An Inertial Tseng's Type Proximal Algorithm for Nonsmooth and Nonconvex Optimization Problems.
J. Optim. Theory Appl., 2016

An inertial forward-backward algorithm for the minimization of the sum of two nonconvex functions.
EURO J. Comput. Optim., 2016

2015
Convex risk minimization via proximal splitting methods.
Optim. Lett., 2015

On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems.
Math. Program., 2015

Backward Penalty Schemes for Monotone Inclusion Problems.
J. Optim. Theory Appl., 2015

Inertial Douglas-Rachford splitting for monotone inclusion problems.
Appl. Math. Comput., 2015

2014
Convergence Analysis for a Primal-Dual Monotone + Skew Splitting Algorithm with Applications to Total Variation Minimization.
J. Math. Imaging Vis., 2014

Regression tasks in machine learning via Fenchel duality.
Ann. Oper. Res., 2014

2013
A Douglas-Rachford Type Primal-Dual Method for Solving Inclusions with Mixtures of Composite and Parallel-Sum Type Monotone Operators.
SIAM J. Optim., 2013

A Primal-Dual Splitting Algorithm for Finding Zeros of Sums of Maximal Monotone Operators.
SIAM J. Optim., 2013

Conjugate Duality and the Control of Linear Discrete Systems.
J. Optim. Theory Appl., 2013

A double smoothing technique for solving unconstrained nondifferentiable convex optimization problems.
Comput. Optim. Appl., 2013

2012
Classical linear vector optimization duality revisited.
Optim. Lett., 2012

On Some Erroneous Statements in the Paper "Optimality Conditions for Extended Ky Fan Inequality with Cone and Affine Constraints and Their Applications" by A. Capătă.
J. Optim. Theory Appl., 2012

Attouch-Théra duality revisited: Paramonotonicity and operator splitting.
J. Approx. Theory, 2012

2011
Looking for appropriate qualification conditions for subdifferential formulae and dual representations for convex risk measures.
Math. Methods Oper. Res., 2011

On the Dini-Hadamard subdifferential of the difference of two functions.
J. Glob. Optim., 2011

Optimization problems in statistical learning: Duality and optimality conditions.
Eur. J. Oper. Res., 2011

A Comparison of Some Recent Regularity Conditions for Fenchel Duality.
Proceedings of the Fixed-Point Algorithms for Inverse Problems in Science and Engineering, 2011

2010
Lower semicontinuous type regularity conditions for subdifferential calculus.
Optim. Methods Softw., 2010

On totally Fenchel unstable functions in finite dimensional spaces.
Math. Program., 2010

On a Zero Duality Gap Result in Extended Monotropic Programming.
J. Optim. Theory Appl., 2010

2009
Duality in Vector Optimization.
Vector Optimization, Springer, ISBN: 978-3-642-02886-1, 2009

2008
Regularity Conditions via Quasi-Relative Interior in Convex Programming.
SIAM J. Optim., 2008

The conjugate of the pointwise maximum of two convex functions revisited.
J. Glob. Optim., 2008

Duality for almost convex optimization problems via the perturbation approach.
J. Glob. Optim., 2008

e-Optimality conditions for composed convex optimization problems.
J. Approx. Theory, 2008

2007
Maximal Monotonicity for the Precomposition with a Linear Operator.
SIAM J. Optim., 2007

On the relations between different duals assigned to composed optimization problems.
Math. Methods Oper. Res., 2007

A general approach for studying duality in multiobjective optimization.
Math. Methods Oper. Res., 2007

Some new Farkas-type results for inequality systems with DC functions.
J. Glob. Optim., 2007

Duality for location problems with unbounded unit balls.
Eur. J. Oper. Res., 2007

On the Construction of Gap Functions for Variational Inequalities via Conjugate duality.
Asia Pac. J. Oper. Res., 2007

2006
The Rose-Gurewitz-Fox approach applied for patents classification.
Eur. J. Oper. Res., 2006

2005
Farkas-Type Results With Conjugate Functions.
SIAM J. Optim., 2005

2001
Multiobjective duality for convex-linear problems II.
Math. Methods Oper. Res., 2001


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