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European Conference on Numerical mathematics and Advanced Applications, ENUMATH 2023

作者： Storvik, Erlend Riethmüller, Cedric Both, Jakub W. Radu, Florin Adrian Department of Computer Science Electrical Engineering and Mathematical Sciences Western Norway University of Applied Sciences Bergen Norway Institute of Applied Analysis and Numerical Simulation University of Stuttgart Stuttgart Germany Centre for Modeling of Coupled Subsurface Dynamics Department of Mathematics University of Bergen Bergen Norway

ISBN: (纸本)9783031861680

This paper presents a study of solution strategies for the Cahn-Hilliard-Biot equations, a complex mathematical model for understanding flow in deformable porous media with changing solid phases. Solving the Cahn-Hilliard-Biot system poses significant challenges due to its coupled, nonlinear and non-convex nature. We explore various solution algorithms, comparing monolithic and splitting strategies, focusing on both their computational efficiency and robustness. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

关键词： Computational efficiency

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Automated Ensemble Multimodal Machine Learning for Healthcare

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IEEE Journal of Biomedical and Health Informatics 2025年 PP卷 PP页

作者： Imrie, Fergus Denner, Stefan Brunschwig, Lucas S. Maier-Hein, Klaus Van Der Schaar, Mihaela University of Oxford Department of Statistics Oxford United Kingdom Heidelberg University Faculty of Mathematics and Computer Science Germany École Polytechnique Fédérale de Lausanne Switzerland Division of Medical Image Computing Germany Heidelberg University Hospital Pattern Analysis and Learning Group Department of Radiation Oncology Germany Heidelberg Germany University of Cambridge Department of Applied Mathematics and Theoretical Physics United Kingdom

The application of machine learning in medicine and healthcare has led to the creation of numerous diagnostic and prognostic models. However, despite their success, current approaches generally issue predictions using data from a single modality. This stands in stark contrast with clinician decision-making which employs diverse information from multiple sources. While several multimodal machine learning approaches exist, significant challenges in developing multimodal systems remain that are hindering clinical adoption. In this paper, we introduce a multimodal framework, AutoPrognosis-M, that enables the integration of structured clinical (tabular) data and medical imaging using automated machine learning. AutoPrognosis-M incorporates 17 imaging models, including convolutional neural networks and vision transformers, and three distinct multimodal fusion strategies. In an illustrative application using a multimodal skin lesion dataset, we highlight the importance of multimodal machine learning and the power of combining multiple fusion strategies using ensemble learning. We have open-sourced our framework as a tool for the community and hope it will accelerate the uptake of multimodal machine learning in healthcare and spur further innovation. © 2013 IEEE.

关键词： Adversarial machine learning

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A NOTE ON MULTIPLICATIVE ROOTS OF MULTIVARIABLE FORMAL POWER SERIES

arXiv

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arXiv 2025年

作者： Maćkowiak, Piotr Mokatren, Motaz Department of Nonlinear Analysis and Applied Topology Faculty of Mathematics and Computer Science Adam Mickiewicz University Poznań Uniwersytetu Poznańskiego 4 Poznań61-614 Poland Department of Electrical and Electronics Engineering Kinneret College Emek HaYarden Mobile Post Zemach 15132 Israel

Suppose that we are given a formal power series of many variables with coefficients in R (or ℂ) and we want to compute its n-th (multiplicative) root. As can be expected coefficients of the root have to satisfy a system of infinitely many equations. We present such a system of equations that strictly corresponds with the system for n-th of a formal power series of one variable. With help of an example we show that the case of formal power series of many variables is very different from the one variable case with respect to the existence of *** Codes 13F25, 13J05 © 2025, CC BY-NC-ND.

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Third-order Hankel determinant sharp estimates for the inverse of complex valued holomorphic functions

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Heliyon 2025年第1期11卷 e41666页

作者： Abbas, Muhammad Bulboacă, Teodor Alhefthi, Reem K. Arif, Muhammad Department of Mathematics Abdul Wali Khan University Mardan Mardan 23200 Pakistan Research Center of Applied Analysis Faculty of Mathematics and Computer Science Babeş-Bolyai University Cluj-Napoca 400084 Romania Department of Mathematics College of Sciences King Saud University P.O. Box 2455 Riyadh 11451 Saudi Arabia

Determining coefficient estimates of inverse complex valued function is often more challenging than determining the function itself, leading to a lack of articles on inverse functions by examining sharp estimates of the third-order Hankel determinant. This article uses Carathéodory functions to estimate the initial coefficients related to problems for inverse of functions that are bounded turning and subordinated with the cosine function. It covers some inverse coefficients problems together with the second and third-order Hankel determinants. All the estimations that were found are sharp and all the extremal functions and their inverses are also provided. © 2025 The Author(s)

关键词： Bounded turning functions Carathéodory functions Cosine function Hankel determinants Inverse functions

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Comparative analysis of deep learning and machine learning techniques for forecasting new malaria cases in Cameroon's Adamaoua region

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Intelligence-Based Medicine 2025年 11卷 100220-100220页

作者： Naroum, Esaie Maka, Ebenezer Maka Abboubakar, Hamadjam Dayang, Paul Bamana, Appolinaire Batoure Garga, Benjamin Daouda, Hassana Daouda Bakouri, Mohsen Khan, Ilyas University of Ngaoundéré Department of Mathematics and computer Science Faculty of Science P.O. Box 455 Ngaoundéré Cameroon University of Douala National Higher Polytechnic School Department of Computer Engineering and Telecommunications P.O. Box 2701 Douala Cameroon University of Ngaoundéré University Institute of Technology Department of Computer Engineering P.O. Box 455 Ngaoundéré Cameroon University of Ngaoundéré Laboratory of Analysis Simulation and Test (LASE) P.O. Box 455 Ngaoundéré Cameroon University of Ngaoundéré School of Geology and Mining Engineering Department Applied Mathematics and Computer Science P.O. Box 115 Meiganga Cameroon University of Ngaoundéré ENSAI Department of Electrical Electronic and Automatic Engineering P.O. Box 455 Ngaoundéré Cameroon Majmaah University College of Applied Medical Science Department of Medical Equipment Technology Al-Majmaah 11952 Saudi Arabia Department of Mathematics College of Science Al-Zulfi Majmaah University Al-Majmaah 11952 Saudi Arabia

The Plasmodium parasite, which causes malaria is transmitted by Anopheles mosquitoes, and remains a major development barrier in Africa. This is particularly true considering the conducive environment that promotes the spread of malaria. This study examines several machine learning approaches, such as long short term memory (LSTM), random forests (RF), support vector machines (SVM), and data regularization models including Ridge, Lasso, and ElasticNet, in order to forecast the occurrence of malaria in the Adamaoua region of Cameroon. The LSTM, a recurrent neural network variant, performed the best with 76% accuracy and a low error rate (RMSE = 0.08). Statistical evidence indicates that temperatures exceeding 34 degrees halt mosquito vector reproduction, thereby slowing the spread of malaria. However, humidity increases the morbidity of the condition. The survey also identified high-risk areas in Ngaoundéré Rural and Urban and Meiganga. Between 2018 and 2022, the Adamaoua region had 20.1%, 12.3%, and 10.0% of malaria cases, respectively, in these locations. According to the estimate, the number of malaria cases in the Adamaoua region will rise gradually between 2023 and 2026, peaking in 2029 before declining in 2031. © 2025 The Authors

关键词： Adamaoua-Cameroon Deep learning Machine learning Malaria Metric evaluation Time-series forecasting

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On Shannon's entropy, directed divergence and inaccuracy

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Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1972年第2期22卷 95-100页

作者： Kannappan, Pl. Department of Applied Analysis and Computer Science Faculty of Mathematics University of Waterloo Waterloo Ontario Canada

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Optimal control for an M(x)/G/1 queue with two operation modes

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PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES 1997年第2期11卷 255-265页

作者： Dudin, A [a1 ]Department of Applied Probability Analysis Faculty of Applied Mathematics and Computer Sciences Belarus State University 4 F.Skorina Ave. Minsk-50 220050 Belarus

The controlled M(X)/G/1-type queueing model with two modes of operation is considered. The modes are characterized by different service time;distributions and input rates. The switchover times are imposed in the model. The embedded stationary queue-length distribution and the explicit dependence of operation criteria on switchover levels are derived.

关键词： Queueing theory

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A multi-configuration Hartree-Fock program

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computer Physics Communications 1970年第3期1卷 151-166页

作者： Froese Fischer, Charlotte Department of Applied Analysis and Computer Science Faculty of Mathematics University of Waterloo Waterloo Ont. Canada

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A multi-configuration Hartree-Fock program with improved stability

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computer Physics Communications 1972年第1期4卷 107-116页

作者： Froese Fischer, Charlotte Department of Applied Analysis and Computer Science Faculty of Mathematics University of Waterloo Waterloo Ont. Canada

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The potential method for conditional maxima in the locally compact metric spaces

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Numerische Mathematik 1970年第4期14卷 325-329页

作者： Pietrzykowski, Tomasz Faculty of Mathematics Department of Applied Analysis and Computer Sciences University of Waterloo Waterloo Ontario Canada

In the paper there is presented a method of reducing the constrained maximization problem to an unconditional one. The method consists of introducing a function, called potential, which at an unconditional maximum converges to the constrained maximum when a positive parameter of the potential tends to zero. A proof of such convergence for the locally compact metric spaces is given. © 1970 Springer-Verlag.

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