Results 41 to 50 of about 1,345 (121)

Geometric approaches to matrix normalization and graph balancing

open access: yesForum of Mathematics, Sigma
Normal matrices, or matrices which commute with their adjoints, are of fundamental importance in pure and applied mathematics. In this paper, we study a natural functional on the space of square complex matrices whose global minimizers are normal ...
Tom Needham, Clayton Shonkwiler
doaj   +1 more source

Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions [PDF]

open access: yes, 2003
2000 Mathematics Subject Classification: 47H04, 65K10.In this paper we investigate the existence of a sequence (xk ) satisfying 0 ∈ f (xk )+ ∇f (xk )(xk+1 − xk )+ 1/2 ∇2 f (xk )(xk+1 − xk )^2 + G(xk+1 ) and converging to a solution x∗ of the generalized
Geoffroy, M., Hilout, S., Pietrus, A.
core   +1 more source

A hierarchical loss and its problems when classifying non-hierarchically

open access: yes, 2019
Failing to distinguish between a sheepdog and a skyscraper should be worse and penalized more than failing to distinguish between a sheepdog and a poodle; after all, sheepdogs and poodles are both breeds of dogs.
LeCun, Yann, Tygert, Mark, Wu, Cinna
core   +1 more source

String-Averaging Projected Subgradient Methods for Constrained Minimization [PDF]

open access: yes, 2013
We consider constrained minimization problems and propose to replace the projection onto the entire feasible region, required in the Projected Subgradient Method (PSM), by projections onto the individual sets whose intersection forms the entire feasible ...
Censor, Y., Zaslavski, A. J.
core  

Predicting COVID-19 outbreak in India using modified SIRD model

open access: yesApplied Mathematics in Science and Engineering
In this paper, the existing Susceptible-Infected-Recovered-Deceased (SIRD) compartmental epidemiologic process model is modified for forecasting the coronavirus effect in India.
Sakshi Shringi   +5 more
doaj   +1 more source

Instability in deep learning – when algorithms cannot compute uncertainty quantifications for neural networks

open access: yesEuropean Journal of Applied Mathematics
In deep learning, interval neural networks are used to quantify the uncertainty of a pre-trained neural network. Suppose we are given a computational problem $P$ and a pre-trained neural network $\Phi _P$ that aims to solve $P$ .
Luca Eva Gazdag   +2 more
doaj   +1 more source

An MBO method for modularity optimisation based on total variation and signless total variation

open access: yesEuropean Journal of Applied Mathematics
In network science, one of the significant and challenging subjects is the detection of communities. Modularity [1] is a measure of community structure that compares connectivity in the network with the expected connectivity in a graph sampled from a ...
Zijun Li, Yves van Gennip, Volker John
doaj   +1 more source

A Fixed Point Theorem for Discontinuous Functions [PDF]

open access: yes
AMS classifications: 54H25, 65K10, 49J53, 68W25Fixed point;simplicial subdivision;discontinuity ...
Herings, P.J.J.   +3 more
core   +1 more source

A smoothing-type algorithm for solving inequalities under the order induced by a symmetric cone

open access: yesJournal of Inequalities and Applications, 2011
In this article, we consider the numerical method for solving the system of inequalities under the order induced by a symmetric cone with the function involved being monotone. Based on a perturbed smoothing function, the underlying system of inequalities
Zhang Ying, Lu Nan
doaj  

Consensus-based optimisation with truncated noise

open access: yesEuropean Journal of Applied Mathematics
Consensus-based optimisation (CBO) is a versatile multi-particle metaheuristic optimisation method suitable for performing non-convex and non-smooth global optimisations in high dimensions.
Massimo Fornasier   +3 more
doaj   +1 more source

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