applied mathematics

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The latest research in training modern machine learning models: ‘A deterministic modification of gradient descent that avoids saddle points

Machine learning models, particularly those based on deep neural networks, have revolutionized the fields of data analysis, image recognition, and natural language processing. A key factor in the training of these models is the use of variants of gradient descent algorithms, which optimize model parameters by minimizing a loss function. However, the training optimization problem for neural networks is highly non-convex, presenting unique challenges.

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The PageRank algorithm analysed by EJAM

The PageRank algorithm was developed by Google co-founder Larry Page, and first introduced in 1998. It is based on the idea that a website’s importance can be measured by the number of other websites that link to it. Here, EJAM researchers study the PageRank algorithm.

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John Ockendon Prize 2022 winner announced

The John Ockendon Prize launched in 2016 and is named after the founding editor of the European Journal of Applied Mathematics. This award recognises researchers for their contribution to applied mathematical research. In this article, Journal Editor Martin Burger discusses the 2022 winning paper.

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Mahony Neumann Room Prize 2021

About the Mahony Neumann Room Prize This prize, for outstanding contributions to the Australian Mathematical Society’s research publications, is fittingly named after the founding editors of these journals.…

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New editor Q&A: Rhonda Righter of UC Berkeley

Rhonda Righter is joining the editorial board of the journal Probability in the Engineering and Informational Sciences. She brings with her a wealth of knowledge in the area of stochastic modelling and optimization; read her full biography here.…

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Singular perturbations in noisy dynamical systems

The lead article for Issue 4, Voume 29 from the European Journal of Applied Mathematics is Professor Bernard J. Matkowsky’s personalized survey-style article on the theory and application of ‘Singular perturbation methods to noisy dynamical systems’ in the limit of small noise.…

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Celebrate Pi Day with Forum of Mathematics

Pi Day is celebrated around the world on the 14th day of the 3rd month. The date representation of 3.14 is the most basic ratio of the circumference of a circle to its diameter, but it also has this going for it: Which, of course, means that mathematicians everywhere love their pi.…

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