Results 11 to 20 of about 713,971 (166)
FedDANE: A Federated Newton-Type Method [PDF]
2019 53rd Asilomar Conference on Signals, Systems, and Computers, 2019 Asilomar Conference on Signals, Systems, and Computers ...
Tian Li 0005 +5 more
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Newton method over networks is fast up to the statistical precision [PDF]
, 2021 We propose a distributed cubic regularization of the Newton method for solving (constrained) empirical risk minimization problems over a network of agents, modeled as undirected graph.
Scutari, Gesualdo +3 more
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On a Newton‐Type Method for Differential‐Algebraic Equations [PDF]
Journal of Applied Mathematics, 2012 This paper deals with the approximation of systems of differential‐algebraic equations based on a certain error functional naturally associated with the system. In seeking to minimize the error, by using standard descent schemes, the procedure can never get stuck in local minima but will always and steadily decrease the error until getting to the ...
Sergio Amat +2 more
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Newton-type Methods for Minimax Optimization
CoRR, 2020 Differential games, in particular two-player sequential zero-sum games (a.k.a. minimax optimization), have been an important modeling tool in applied science and received renewed interest in machine learning due to many recent applications, such as adversarial training, generative models and reinforcement learning.
Guojun Zhang +3 more
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DINO: Distributed Newton-Type Optimization Method [PDF]
, 2020 We present a novel communication-efficient Newton-type algorithm for finite-sum optimization over a distributed computing environment. Our method, named DINO, overcomes both theoretical and practical shortcomings of similar existing methods. Under minimal assumptions, we guarantee global sub-linear convergence of DINO to a first-order stationary point ...
Crane, Rixon, Roosta, Fred
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Generalized Conformable Fractional Newton-Type Method for Solving Nonlinear Systems [PDF]
, 2023 [EN] In a recent paper, a conformable fractional Newton-type method was proposed for solving nonlinear equations. This method involves a lower computational cost compared to other fractional iterative methods. Indeed, the theoretical order of convergence
Candelario-Villalona, Giro Guillermo +3 more
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Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators [PDF]
, 2015 This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations.
Concepción Bermúdez +12 more
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A second order convergent trial method for a free boundary problem in three dimensions [PDF]
, 2015 The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
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A smoothing Newton method based on the generalized Fischer-Burmeister function for MCPs [PDF]
, 2011 [[abstract]]We present a smooth approximation for the generalized Fischer-Burmeister function where the 2-norm in the FB function is relaxed to a general p-norm (p > 1), and establish some favorable properties for it, for example, the Jacobian ...
Tzu-Ching Lin, 林子靖
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On Fractional Newton‐Type Method for Nonlinear Problems
Journal of Mathematics, 2022 The current manuscript is concerned with the development of the Newton–Raphson method, playing a significant role in mathematics and various other disciplines such as optimization, by using fractional derivatives and fractional Taylor series expansion.
Mine Aylin Bayrak +2 more
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