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Radu Ioan Bot
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2020 – today
- 2024
- [i6]Radu Ioan Bot, Enis Chenchene:
Extra-Gradient Method with Flexible Anchoring: Strong Convergence and Fast Residual Decay. CoRR abs/2410.14369 (2024) - 2023
- [j60]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): 925-966 (2023) - [j59]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: 8:1-8:37 (2023) - [j58]Radu Ioan Bot
Fast Augmented Lagrangian Method in the convex regime with convergence guarantees for the iterates. Math. Program. 200(1): 147-197 (2023) - [j57]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): 103-130 (2023) - [j56]Radu Ioan Bot
Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems. SIAM J. Optim. 33(2): 361-393 (2023) - [j55]Radu Ioan Bot
Alternating Proximal-Gradient Steps for (Stochastic) Nonconvex-Concave Minimax Problems. SIAM J. Optim. 33(3): 1884-1913 (2023) - [j54]Radu Ioan Bot
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): 2813-2843 (2023) - [c1]Michael Sedlmayer, Dang-Khoa Nguyen
A Fast Optimistic Method for Monotone Variational Inequalities. ICML 2023: 30406-30438 - [i5]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 abs/2306.12504 (2023) - 2022
- [j53]Radu Ioan Bot, Guozhi Dong, Peter Elbau, Otmar Scherzer
Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems. Found. Comput. Math. 22(5): 1567-1629 (2022) - [j52]Radu Ioan Bot
Extrapolated Proximal Subgradient Algorithms for Nonconvex and Nonsmooth Fractional Programs. Math. Oper. Res. 47(3): 2415-2443 (2022) - [j51]Axel Böhm
Two Steps at a Time - Taking GAN Training in Stride with Tseng's Method. SIAM J. Math. Data Sci. 4(2): 750-771 (2022) - [i4]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 abs/2206.09462 (2022) - 2021
- [j50]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: 125822 (2021) - [j49]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: 113589 (2021) - [j48]Radu Ioan Bot
Tikhonov regularization of a second order dynamical system with Hessian driven damping. Math. Program. 189(1): 151-186 (2021) - [j47]Sebastian Banert
Fixing and extending some recent results on the ADMM algorithm. Numer. Algorithms 86(3): 1303-1325 (2021) - [j46]Radu Ioan Bot
Factorization of completely positive matrices using iterative projected gradient steps. Numer. Linear Algebra Appl. 28(6) (2021) - 2020
- [j45]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): 49-60 (2020) - [j44]Radu Ioan Bot
Variable Smoothing for Convex Optimization Problems Using Stochastic Gradients. J. Sci. Comput. 85(2): 33 (2020) - [j43]Radu Ioan Bot
The Proximal Alternating Direction Method of Multipliers in the Nonconvex Setting: Convergence Analysis and Rates. Math. Oper. Res. 45(2): 682-712 (2020) - [i3]Radu Ioan Bot, Michael Sedlmayer, Phan Tu Vuong:
A Relaxed Inertial Forward-Backward-Forward Algorithm for Solving Monotone Inclusions with Application to GANs. CoRR abs/2003.07886 (2020)
2010 – 2019
- 2019
- [j42]Radu Ioan Bot, Ernö Robert Csetnek:
ADMM for monotone operators: convergence analysis and rates. Adv. Comput. Math. 45(1): 327-359 (2019) - [j41]Sandy Bitterlich, Radu Ioan Bot
The Proximal Alternating Minimization Algorithm for Two-Block Separable Convex Optimization Problems with Linear Constraints. J. Optim. Theory Appl. 182(1): 110-132 (2019) - [j40]Sebastian Banert
A general double-proximal gradient algorithm for d.c. programming. Math. Program. 178(1-2): 301-326 (2019) - [j39]Radu Ioan Bot
Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces. Optim. Methods Softw. 34(3): 489-514 (2019) - [j38]Radu Ioan Bot, Ernö Robert Csetnek, Dang-Khoa Nguyen
A Proximal Minimization Algorithm for Structured Nonconvex and Nonsmooth Problems. SIAM J. Optim. 29(2): 1300-1328 (2019) - [i2]Radu Ioan Bot, Panayotis Mertikopoulos, Mathias Staudigl, Phan Tu Vuong:
Forward-backward-forward methods with variance reduction for stochastic variational inequalities. CoRR abs/1902.03355 (2019) - [i1]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 abs/1911.04758 (2019) - 2018
- [j37]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): 17-33 (2018) - 2016
- [j36]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): 3-25 (2016) - [j35]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): 600-616 (2016) - [j34]Radu Ioan Bot, Ernö Robert Csetnek:
An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems. Numer. Algorithms 71(3): 519-540 (2016) - [j33]Radu Ioan Bot, Ernö Robert Csetnek:
Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems. SIAM J. Control. Optim. 54(3): 1423-1443 (2016) - 2015
- [j32]Radu Ioan Bot, Ernö Robert Csetnek, Christopher Hendrich:
Inertial Douglas-Rachford splitting for monotone inclusion problems. Appl. Math. Comput. 256: 472-487 (2015) - [j31]Sebastian Banert
Backward Penalty Schemes for Monotone Inclusion Problems. J. Optim. Theory Appl. 166(3): 930-948 (2015) - [j30]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): 251-279 (2015) - [j29]Radu Ioan Bot, Christopher Hendrich:
Convex risk minimization via proximal splitting methods. Optim. Lett. 9(5): 867-885 (2015) - 2014
- [j28]Radu Ioan Bot, André Heinrich:
Regression tasks in machine learning via Fenchel duality. Ann. Oper. Res. 222(1): 197-211 (2014) - [j27]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): 551-568 (2014) - 2013
- [j26]Radu Ioan Bot, Christopher Hendrich:
A double smoothing technique for solving unconstrained nondifferentiable convex optimization problems. Comput. Optim. Appl. 54(2): 239-262 (2013) - [j25]Radu Ioan Bot, Ernö Robert Csetnek:
Conjugate Duality and the Control of Linear Discrete Systems. J. Optim. Theory Appl. 159(3): 576-589 (2013) - [j24]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): 2011-2036 (2013) - [j23]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): 2541-2565 (2013) - 2012
- [j22]Heinz H. Bauschke
Attouch-Théra duality revisited: Paramonotonicity and operator splitting. J. Approx. Theory 164(8): 1065-1084 (2012) - [j21]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): 546-550 (2012) - [j20]Radu Ioan Bot, Sorin-Mihai Grad
Classical linear vector optimization duality revisited. Optim. Lett. 6(1): 199-210 (2012) - 2011
- [j19]Radu Ioan Bot, Nicole Lorenz:
Optimization problems in statistical learning: Duality and optimality conditions. Eur. J. Oper. Res. 213(2): 395-404 (2011) - [j18]Radu Ioan Bot, Delia-Maria Nechita:
On the Dini-Hadamard subdifferential of the difference of two functions. J. Glob. Optim. 50(3): 485-502 (2011) - [j17]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): 191-215 (2011) - [p1]Radu Ioan Bot, Ernö Robert Csetnek:
A Comparison of Some Recent Regularity Conditions for Fenchel Duality. Fixed-Point Algorithms for Inverse Problems in Science and Engineering 2011: 111-130 - 2010
- [j16]Radu Ioan Bot, Ernö Robert Csetnek:
On a Zero Duality Gap Result in Extended Monotropic Programming. J. Optim. Theory Appl. 147(3): 473-482 (2010) - [j15]Radu Ioan Bot, Andreas Löhne:
On totally Fenchel unstable functions in finite dimensional spaces. Math. Program. 123(1): 25-31 (2010) - [j14]Radu Ioan Bot, Sorin-Mihai Grad
Lower semicontinuous type regularity conditions for subdifferential calculus. Optim. Methods Softw. 25(1): 37-48 (2010)
2000 – 2009
- 2009
- [b1]Radu Ioan Bot, Sorin-Mihai Grad
Duality in Vector Optimization. Vector Optimization, Springer 2009, ISBN 978-3-642-02885-4, pp. 1-383 - 2008
- [j13]Radu Ioan Bot, Ioan Bogdan Hodrea, Gert Wanka:
e-Optimality conditions for composed convex optimization problems. J. Approx. Theory 153(1): 108-121 (2008) - [j12]Radu Ioan Bot, Gert Wanka:
The conjugate of the pointwise maximum of two convex functions revisited. J. Glob. Optim. 41(4): 625-632 (2008) - [j11]Radu Ioan Bot, Gábor Kassay, Gert Wanka:
Duality for almost convex optimization problems via the perturbation approach. J. Glob. Optim. 42(3): 385-399 (2008) - [j10]Radu Ioan Bot, Ernö Robert Csetnek, Gert Wanka:
Regularity Conditions via Quasi-Relative Interior in Convex Programming. SIAM J. Optim. 19(1): 217-233 (2008) - 2007
- [j9]Lkhamsuren Altangerel
On the Construction of Gap Functions for Variational Inequalities via Conjugate duality. Asia Pac. J. Oper. Res. 24(3): 353-371 (2007) - [j8]Gert Wanka, Radu Ioan Bot, Emese Vargyas:
Duality for location problems with unbounded unit balls. Eur. J. Oper. Res. 179(3): 1252-1265 (2007) - [j7]Radu Ioan Bot, Ioan Bogdan Hodrea, Gert Wanka:
Some new Farkas-type results for inequality systems with DC functions. J. Glob. Optim. 39(4): 595-608 (2007) - [j6]Radu Ioan Bot, Sorin-Mihai Grad
A general approach for studying duality in multiobjective optimization. Math. Methods Oper. Res. 65(3): 417-444 (2007) - [j5]Gert Wanka, Radu Ioan Bot, Emese Vargyas:
On the relations between different duals assigned to composed optimization problems. Math. Methods Oper. Res. 66(1): 47-68 (2007) - [j4]Radu Ioan Bot, Sorin-Mihai Grad
Maximal Monotonicity for the Precomposition with a Linear Operator. SIAM J. Optim. 17(4): 1239-1252 (2007) - 2006
- [j3]Ioan Bogdan Hodrea, Radu Ioan Bot, Gert Wanka:
The Rose-Gurewitz-Fox approach applied for patents classification. Eur. J. Oper. Res. 173(3): 815-826 (2006) - 2005
- [j2]Radu Ioan Bot, Gert Wanka:
Farkas-Type Results With Conjugate Functions. SIAM J. Optim. 15(2): 540-554 (2005) - 2001
- [j1]Gert Wanka, Radu Ioan Bot:
Multiobjective duality for convex-linear problems II. Math. Methods Oper. Res. 53(3): 419-433 (2001)
Coauthor Index
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