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A comparative analysis of optimisation methods for classification on various datasets

Simanta Das and Soumitra Das

International Journal of Complexity in Applied Science and Technology, 2026, vol. 2, issue 2, 109-127

Abstract: Optimisation studies how a variety of mathematical structures can be analysed through the minimisation or maximisation of a function. In deep learning (DL), optimisation encompasses everything from hyperparameter tuning to weight and bias adjustment until the convergence of a loss or cost function (J), such that the model's performance metrics and reliability in classification and regression are increased. Over the last few years, stochastic gradient methods and their variants - or adaptive gradient methods - have become very popular, with varying levels of success or otherwise. This study provides a neat comparison of adaptive gradient methods with respect to their accuracies and cross-entropy loss (CEL) in the mentioned tasks; it tested nine optimisation algorithms across three CNN architectures on MNIST, Fashion-MNIST, and CIFAR-10 datasets over 30 epochs. The overall top-performing optimisers were SGD, RMSProp, Adam, and Nadam, whereas Adagrad and Adadelta consistently performed lower.

Keywords: adaptive gradient methods; optimisation methods; convolutional neural networks; CNNs; MNIST; FashionMNIST; CIFAR10. (search for similar items in EconPapers)
Date: 2026
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