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Welcome to my research blog where I write about applied mathematics, scientific computing, and their applications in solving real-world problems.

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Recent Blog Posts

Understanding Kolmogorov-Arnold Networks (KANs): A Mathematical Deep Dive

January 2025 | 15 min read | Neural Networks, Deep Learning, Mathematical Modeling

Kolmogorov-Arnold Networks (KANs) represent a revolutionary approach to neural network architecture, drawing inspiration from the Kolmogorov-Arnold representation theorem. Unlike traditional Multi-Layer Perceptrons (MLPs) that use fixed activation functions on nodes, KANs place learnable activation functions on edges, fundamentally changing how neural networks learn and represent functions. This post provides a comprehensive mathematical deep dive into KANs, exploring their theoretical foundations, architecture details, training procedures, and advantages over traditional MLPs.

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Generic Article Title - A classification of topics based on input format

Month Year | X minutes read

I'm delighted to announce a new project called Generic Link. It is a classification of types based on input format. It comes in the form of a decision tree leading to a set of potentially appropriate representations to convey the information.

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