Search Results - "Nataša Krejić"
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A stochastic first-order trust-region method with inexact restoration for finite-sum minimization
Published in Computational optimization and applications (2023)“…We propose a stochastic first-order trust-region method with inexact function and gradient evaluations for solving finite-sum minimization problems. Using a…”
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2
A split Levenberg-Marquardt method for large-scale sparse problems
Published in Computational optimization and applications (01-05-2023)“…We consider large-scale nonlinear least squares problems with sparse residuals, each of them depending on a small number of variables. A decoupling procedure…”
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3
Tax evasion risk management using a Hybrid Unsupervised Outlier Detection method
Published in Expert systems with applications (01-05-2022)“…Big data methods are becoming an important tool for tax fraud detection around the world. Unsupervised learning approach is the dominant framework due to the…”
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4
Inexact restoration with subsampled trust-region methods for finite-sum minimization
Published in Computational optimization and applications (01-07-2020)“…Convex and nonconvex finite-sum minimization arises in many scientific computing and machine learning applications. Recently, first-order and second-order…”
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Linear convergence rate analysis of a class of exact first-order distributed methods for weight-balanced time-varying networks and uncoordinated step sizes
Published in Optimization letters (01-04-2024)“…We analyze a class of exact distributed first order methods under a general setting on the underlying network and step-sizes. In more detail, we allow…”
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An inexact restoration-nonsmooth algorithm with variable accuracy for stochastic nonsmooth convex optimization problems in machine learning and stochastic linear complementarity problems
Published in Journal of computational and applied mathematics (15-05-2023)“…We study unconstrained optimization problems with nonsmooth and convex objective function in the form of a mathematical expectation. The proposed method…”
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7
Subsampled inexact Newton methods for minimizing large sums of convex functions
Published in IMA journal of numerical analysis (16-10-2020)“…Abstract This paper deals with the minimization of a large sum of convex functions by inexact Newton (IN) methods employing subsampled functions, gradients and…”
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8
A non-monotone trust-region method with noisy oracles and additional sampling
Published in Computational optimization and applications (01-09-2024)“…In this work, we introduce a novel stochastic second-order method, within the framework of a non-monotone trust-region approach, for solving the unconstrained,…”
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9
A harmonic framework for stepsize selection in gradient methods
Published in Computational optimization and applications (01-05-2023)“…We study the use of inverse harmonic Rayleigh quotients with target for the stepsize selection in gradient methods for nonlinear unconstrained optimization…”
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10
Distributed fixed point method for solving systems of linear algebraic equations
Published in Automatica (Oxford) (01-12-2021)“…We present a class of iterative fully distributed fixed point methods to solve a system of linear equations, such that each agent in the network holds one or…”
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11
Detection of Iterative Adversarial Attacks via Counter Attack
Published in Journal of optimization theory and applications (01-09-2023)“…Deep neural networks (DNNs) have proven to be powerful tools for processing unstructured data. However, for high-dimensional data, like images, they are…”
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Performance evaluation and analysis of distributed multi-agent optimization algorithms with sparsified directed communication
Published in EURASIP journal on advances in signal processing (01-06-2021)“…There has been significant interest in distributed optimization algorithms, motivated by applications in Big Data analytics, smart grid, vehicle networks, etc…”
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13
Spectral projected subgradient method for nonsmooth convex optimization problems
Published in Numerical algorithms (01-05-2023)“…We consider constrained optimization problems with a nonsmooth objective function in the form of mathematical expectation. The Sample Average Approximation…”
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14
Inexact Restoration approach for minimization with inexact evaluation of the objective function
Published in Mathematics of computation (01-07-2016)“…A new method is introduced for minimizing a function that can be computed only inexactly, with different levels of accuracy. The challenge is to evaluate the…”
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15
EFIX: Exact fixed point methods for distributed optimization
Published in Journal of global optimization (01-03-2023)“…We consider strongly convex distributed consensus optimization over connected networks. EFIX, the proposed method, is derived using quadratic penalty approach…”
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16
Optimal trading of algorithmic orders in a liquidity fragmented market place
Published in Annals of operations research (01-06-2015)“…An optimization model for the execution of algorithmic orders at multiple trading venues is herein proposed and analyzed. The optimal trajectory consists of…”
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17
Negative selection—a new performance measure for automated order execution
Published in Journal of mathematics in industry (23-03-2021)“…Automated Order Execution is the dominant way of trading at stock markets. Performance of numerous execution algorithms is measured through slippage from some…”
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18
Nonmonotone line search methods with variable sample size
Published in Numerical algorithms (01-04-2015)“…Nonmonotone line search methods for unconstrained minimization with the objective functions in the form of mathematical expectation are considered. The…”
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Distributed Gradient Methods with Variable Number of Working Nodes
Published in IEEE transactions on signal processing (01-08-2016)“…We consider distributed optimization where N nodes in a connected network minimize the sum of their local costs subject to a common constraint set. We propose…”
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20
Exact spectral-like gradient method for distributed optimization
Published in Computational optimization and applications (01-12-2019)“…Since the initial proposal in the late 80s, spectral gradient methods continue to receive significant attention, especially due to their excellent numerical…”
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