Radu Ioan Bot

Publication Activity (10 Years)

Years Active: 2001-2023
Publications (10 Years): 33

Top Topics

Total Variation Minimization

Convergence Rate

Optimization Problems

Top Venues

J. Optim. Theory Appl.

Publications

Francisco J. Aragón Artacho, Radu Ioan Bot, David Torregrosa-Belén
A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting. Numer. Algorithms 93 (1) (2023)
Radu Ioan Bot, Ernö Robert Csetnek, Michael Sedlmayer
An accelerated minimax algorithm for convex-concave saddle point problems with nonsmooth coupling function. Comput. Optim. Appl. 86 (3) (2023)
Michael Sedlmayer, Dang-Khoa Nguyen, Radu Ioan Bot
A Fast Optimistic Method for Monotone Variational Inequalities. ICML (2023)
Rossen Nenov, Dang-Khoa Nguyen, Peter Balazs, Radu Ioan Bot
Accelerated Griffin-Lim algorithm: A fast and provably converging numerical method for phase retrieval. CoRR (2023)
Radu Ioan Bot, Ernö Robert Csetnek, Dang-Khoa Nguyen
Fast Augmented Lagrangian Method in the convex regime with convergence guarantees for the iterates. Math. Program. 200 (1) (2023)
Radu Ioan Bot, Minh N. Dao, Guoyin Li
Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems. SIAM J. Optim. 33 (2) (2023)
Radu Ioan Bot, Axel Böhm
Alternating Proximal-Gradient Steps for (Stochastic) Nonconvex-Concave Minimax Problems. SIAM J. Optim. 33 (3) (2023)
Radu Ioan Bot, Dang-Khoa Nguyen
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. 61 (6) (2023)
Radu Ioan Bot, Michael Sedlmayer, Phan Tu Vuong
A Relaxed Inertial Forward-Backward-Forward Algorithm for Solving Monotone Inclusions with Application to GANs. J. Mach. Learn. Res. 24 (2023)
Radu Ioan Bot, Dang-Khoa Nguyen
Fast Krasnosel'skii-Mann algorithm with a convergence rate of the fixed point iteration of o(1/k). CoRR (2022)
Radu Ioan Bot, Minh N. Dao, Guoyin Li
Extrapolated Proximal Subgradient Algorithms for Nonconvex and Nonsmooth Fractional Programs. Math. Oper. Res. 47 (3) (2022)
Axel Böhm, Michael Sedlmayer, Ernö Robert Csetnek, Radu Ioan Bot
Two Steps at a Time - Taking GAN Training in Stride with Tseng's Method. SIAM J. Math. Data Sci. 4 (2) (2022)
Radu Ioan Bot, Dennis Meier
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. 395 (2021)
Radu Ioan Bot, Ernö Robert Csetnek, Szilárd Csaba László
Tikhonov regularization of a second order dynamical system with Hessian driven damping. Math. Program. 189 (1) (2021)
Radu Ioan Bot, Laura Kanzler
A forward-backward dynamical approach for nonsmooth problems with block structure coupled by a smooth function. Appl. Math. Comput. 394 (2021)
Radu Ioan Bot, Dang-Khoa Nguyen
Factorization of completely positive matrices using iterative projected gradient steps. Numer. Linear Algebra Appl. 28 (6) (2021)
Sebastian Banert, Radu Ioan Bot, Ernö Robert Csetnek
Fixing and extending some recent results on the ADMM algorithm. Numer. Algorithms 86 (3) (2021)
Radu Ioan Bot, Axel Böhm
Variable Smoothing for Convex Optimization Problems Using Stochastic Gradients. J. Sci. Comput. 85 (2) (2020)
Radu Ioan Bot, Ernö Robert Csetnek, Phan Tu Vuong
The forward-backward-forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces. Eur. J. Oper. Res. 287 (1) (2020)
Radu Ioan Bot, Dang-Khoa Nguyen
The Proximal Alternating Direction Method of Multipliers in the Nonconvex Setting: Convergence Analysis and Rates. Math. Oper. Res. 45 (2) (2020)
Radu Ioan Bot, Michael Sedlmayer, Phan Tu Vuong
A Relaxed Inertial Forward-Backward-Forward Algorithm for Solving Monotone Inclusions with Application to GANs. CoRR (2020)
Radu Ioan Bot, Ernö Robert Csetnek, Dang-Khoa Nguyen
A Proximal Minimization Algorithm for Structured Nonconvex and Nonsmooth Problems. SIAM J. Optim. 29 (2) (2019)
Radu Ioan Bot, Sorin-Mihai Grad, Dennis Meier, Mathias Staudigl
Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure. CoRR (2019)
Radu Ioan Bot, Panayotis Mertikopoulos, Mathias Staudigl, Phan Tu Vuong
Forward-backward-forward methods with variance reduction for stochastic variational inequalities. CoRR (2019)
Radu Ioan Bot, Ernö Robert Csetnek, Dennis Meier
Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces. Optim. Methods Softw. 34 (3) (2019)
Radu Ioan Bot, Ernö Robert Csetnek
ADMM for monotone operators: convergence analysis and rates. Adv. Comput. Math. 45 (1) (2019)
Sandy Bitterlich, Radu Ioan Bot, Ernö Robert Csetnek, Gert Wanka
The Proximal Alternating Minimization Algorithm for Two-Block Separable Convex Optimization Problems with Linear Constraints. J. Optim. Theory Appl. 182 (1) (2019)
Sebastian Banert, Radu Ioan Bot
A general double-proximal gradient algorithm for d.c. programming. Math. Program. 178 (1-2) (2019)
Radu Ioan Bot, Ernö Robert Csetnek, Nimit Nimana
Gradient-type penalty method with inertial effects for solving constrained convex optimization problems with smooth data. Optim. Lett. 12 (1) (2018)
Radu Ioan Bot, Ernö Robert Csetnek
An Inertial Tseng's Type Proximal Algorithm for Nonsmooth and Nonconvex Optimization Problems. J. Optim. Theory Appl. 171 (2) (2016)
Radu Ioan Bot, Ernö Robert Csetnek, Szilárd Csaba László
An inertial forward-backward algorithm for the minimization of the sum of two nonconvex functions. EURO J. Comput. Optim. 4 (1) (2016)
Radu Ioan Bot, Ernö Robert Csetnek
Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems. SIAM J. Control. Optim. 54 (3) (2016)
Radu Ioan Bot, Ernö Robert Csetnek
An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems. Numer. Algorithms 71 (3) (2016)
Sebastian Banert, Radu Ioan Bot
Backward Penalty Schemes for Monotone Inclusion Problems. J. Optim. Theory Appl. 166 (3) (2015)
Radu Ioan Bot, Christopher Hendrich
Convex risk minimization via proximal splitting methods. Optim. Lett. 9 (5) (2015)
Radu Ioan Bot, Ernö Robert Csetnek, Christopher Hendrich
Inertial Douglas-Rachford splitting for monotone inclusion problems. Appl. Math. Comput. 256 (2015)
Radu Ioan Bot, Ernö Robert Csetnek, André Heinrich, Christopher Hendrich
On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems. Math. Program. 150 (2) (2015)
Radu Ioan Bot, André Heinrich
Regression tasks in machine learning via Fenchel duality. Ann. Oper. Res. 222 (1) (2014)
Radu Ioan Bot, Christopher Hendrich
Convergence Analysis for a Primal-Dual Monotone + Skew Splitting Algorithm with Applications to Total Variation Minimization. J. Math. Imaging Vis. 49 (3) (2014)
Radu Ioan Bot, Ernö Robert Csetnek
Conjugate Duality and the Control of Linear Discrete Systems. J. Optim. Theory Appl. 159 (3) (2013)
Radu Ioan Bot, Christopher Hendrich
A double smoothing technique for solving unconstrained nondifferentiable convex optimization problems. Comput. Optim. Appl. 54 (2) (2013)
Radu Ioan Bot, Christopher Hendrich
A Douglas-Rachford Type Primal-Dual Method for Solving Inclusions with Mixtures of Composite and Parallel-Sum Type Monotone Operators. SIAM J. Optim. 23 (4) (2013)
Radu Ioan Bot, Ernö Robert Csetnek, André Heinrich
A Primal-Dual Splitting Algorithm for Finding Zeros of Sums of Maximal Monotone Operators. SIAM J. Optim. 23 (4) (2013)
Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka
Classical linear vector optimization duality revisited. Optim. Lett. 6 (1) (2012)
Radu Ioan Bot, Ernö Robert Csetnek
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. 153 (2) (2012)
Heinz H. Bauschke, Radu Ioan Bot, Warren L. Hare, Walaa M. Moursi
Attouch-Théra duality revisited: Paramonotonicity and operator splitting. J. Approx. Theory 164 (8) (2012)
Radu Ioan Bot, Nicole Lorenz
Optimization problems in statistical learning: Duality and optimality conditions. Eur. J. Oper. Res. 213 (2) (2011)
Radu Ioan Bot, Delia-Maria Nechita
On the Dini-Hadamard subdifferential of the difference of two functions. J. Glob. Optim. 50 (3) (2011)
Radu Ioan Bot, Alina-Ramona Fratean
Looking for appropriate qualification conditions for subdifferential formulae and dual representations for convex risk measures. Math. Methods Oper. Res. 74 (2) (2011)
Radu Ioan Bot, Andreas Löhne
On totally Fenchel unstable functions in finite dimensional spaces. Math. Program. 123 (1) (2010)
Radu Ioan Bot, Ernö Robert Csetnek
On a Zero Duality Gap Result in Extended Monotropic Programming. J. Optim. Theory Appl. 147 (3) (2010)
Radu Ioan Bot, Sorin-Mihai Grad
Lower semicontinuous type regularity conditions for subdifferential calculus. Optim. Methods Softw. 25 (1) (2010)
Radu Ioan Bot, Gert Wanka
The conjugate of the pointwise maximum of two convex functions revisited. J. Glob. Optim. 41 (4) (2008)
Radu Ioan Bot, Ioan Bogdan Hodrea, Gert Wanka
e-Optimality conditions for composed convex optimization problems. J. Approx. Theory 153 (1) (2008)
Radu Ioan Bot, Ernö Robert Csetnek, Gert Wanka
Regularity Conditions via Quasi-Relative Interior in Convex Programming. SIAM J. Optim. 19 (1) (2008)
Radu Ioan Bot, Gábor Kassay, Gert Wanka
Duality for almost convex optimization problems via the perturbation approach. J. Glob. Optim. 42 (3) (2008)
Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka
Maximal Monotonicity for the Precomposition with a Linear Operator. SIAM J. Optim. 17 (4) (2007)
Radu Ioan Bot, Ioan Bogdan Hodrea, Gert Wanka
Some new Farkas-type results for inequality systems with DC functions. J. Glob. Optim. 39 (4) (2007)
Gert Wanka, Radu Ioan Bot, Emese Vargyas
On the relations between different duals assigned to composed optimization problems. Math. Methods Oper. Res. 66 (1) (2007)
Gert Wanka, Radu Ioan Bot, Emese Vargyas
Duality for location problems with unbounded unit balls. Eur. J. Oper. Res. 179 (3) (2007)
Lkhamsuren Altangerel, Radu Ioan Bot, Gert Wanka
On the Construction of Gap Functions for Variational Inequalities via Conjugate duality. Asia Pac. J. Oper. Res. 24 (3) (2007)
Radu Ioan Bot, Sorin-Mihai Grad, Gert Wanka
A general approach for studying duality in multiobjective optimization. Math. Methods Oper. Res. 65 (3) (2007)
Ioan Bogdan Hodrea, Radu Ioan Bot, Gert Wanka
The Rose-Gurewitz-Fox approach applied for patents classification. Eur. J. Oper. Res. 173 (3) (2006)
Radu Ioan Bot, Gert Wanka
Farkas-Type Results With Conjugate Functions. SIAM J. Optim. 15 (2) (2005)
Gert Wanka, Radu Ioan Bot
Multiobjective duality for convex-linear problems II. Math. Methods Oper. Res. 53 (3) (2001)