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Open AccessJournal ArticleDOI

Hessian with Mini-Batches for Electrical Demand Prediction

TLDR
The Hessian is combined with mini-batches for neural network tuning and the discussed algorithm is applied for electrical demand prediction.
Abstract
The steepest descent method is frequently used for neural network tuning. Mini-batches are commonly used to get better tuning of the steepest descent in the neural network. Nevertheless, steepest descent with mini-batches could be delayed in reaching a minimum. The Hessian could be quicker than the steepest descent in reaching a minimum, and it is easier to achieve this goal by using the Hessian with mini-batches. In this article, the Hessian is combined with mini-batches for neural network tuning. The discussed algorithm is applied for electrical demand prediction.

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Journal ArticleDOI

Risk evaluation in failure modes and effects analysis: hybrid TOPSIS and ELECTRE I solutions with Pythagorean fuzzy information

TL;DR: Two novel modified techniques, namely PFH-TOPSIS method and Pythagorean fuzzy hybrid Order of Preference by Similarity to an Ideal Solution method, are proposed to measure risk rankings in failure modes and effects analysis (FMEA) in order to overcome the flaws and shortcomings of traditional crisp risk priority numbers and fuzzy FMEA techniques.
Journal ArticleDOI

Integrated neuro-evolution-based computing solver for dynamics of nonlinear corneal shape model numerically

TL;DR: In this study, bio-inspired computational techniques have been exploited to get the numerical solution of a nonlinear two-point boundary value problem arising in the modelling of the corneal shape with reasonable precision and efficiency with minimal computational cost.
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An Efficient Segmentation and Classification System in Medical Images Using Intuitionist Possibilistic Fuzzy C-Mean Clustering and Fuzzy SVM Algorithm

TL;DR: The proposed approach is highly effective with clustering and also with classification of breast cancer and has been compared with other available fuzzy clustering methods to prove the efficacy.
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Improving the robustness of recursive consequent parameters learning in evolving neuro-fuzzy systems

TL;DR: This paper proposes and examines alternative variants for consequent parameter updates, namely multi-innovation RFWLS, recursive correntropy and especially recursive weighted total least squares (RWTLS) and shows thatRFWLS can be largely outperformed by the proposed alternative variants, and this with even lower sensitivity on various data noise levels.
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A new framework for sign language alphabet hand posture recognition using geometrical features through artificial neural network (part 1)

TL;DR: A new hand posture recognition technique for the American sign language alphabet based on the neural network which works on the geometrical feature extraction of hands is proposed, which provides accuracy up to 96.78% which will be discussed on the additional paper of this authors in this journal.
References
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Journal ArticleDOI

Mini-Batch Semi-Stochastic Gradient Descent in the Proximal Setting

TL;DR: It is proved that as long as b is below a certain threshold, the authors can reach any predefined accuracy with less overall work than without mini-batching, and is suitable for further acceleration by parallelization.
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Clustering Approach Based on Mini Batch Kmeans for Intrusion Detection System Over Big Data

TL;DR: This paper proposes a clustering method for IDS based on Mini Batch $K$ -means combined with principal component analysis, and chooses the Calsski Harabasz indicator so that the clustering result is more easily determined.
Journal ArticleDOI

Newton-type methods for non-convex optimization under inexact Hessian information

TL;DR: In this article, the authors consider variants of trust-region and adaptive cubic regularization methods for non-convex optimization, in which the Hessian matrix is approximated, and provide iteration complexity to achieve $$\varepsilon $$ -approximate second-order optimality which have been shown to be tight.
Journal ArticleDOI

Leveraging Multiscale Hessian-Based Enhancement With a Novel Exudate Inpainting Technique for Retinal Vessel Segmentation

TL;DR: Experimental results show that the proposed vessel segmentation method outperforms state-of-the-art algorithms reported in the recent literature, both visually and in terms of quantitative measurements.
Posted Content

Newton-Type Methods for Non-Convex Optimization Under Inexact Hessian Information

TL;DR: The canonical problem of finite-sum minimization is considered, and appropriate uniform and non-uniform sub-sampling strategies are provided to construct such Hessian approximations, and optimal iteration complexity is obtained for the correspondingSub-sampled trust-region and adaptive cubic regularization methods.
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