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Kolmogorov-Arnold Networks Meet Science

202
Citations
December 17, 2025
Published Date

Research Abstract & Technology Focus

A major challenge of AI plus science lies in its inherent incompatibility: Today’s AI is primarily based on connectionism, while science depends on symbolism. To bridge the two worlds, we propose a framework to seamlessly synergize Kolmogorov-Arnold networks (KANs) and science. The framework highlights KANs’ usage for three aspects of scientific discovery: identifying relevant features, revealing modular structures, and discovering symbolic formulas. The synergy is bidirectional: science to KAN (incorporating scientific knowledge into KANs), and KAN to science (extracting scientific insights from KANs). We highlight major new functionalities in : (1) MultKAN, KANs with multiplication nodes, (2) kanpiler, a KAN compiler that compiles symbolic formulas into KANs; (3) tree converter, convert KANs (or any neural networks) into tree graphs. Based on these tools, we demonstrate KANs’ capability to discover various types of physical laws, including conserved quantities, Lagrangians, symmetries, and constitutive laws.
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What is the core focus of the research titled 'Kolmogorov-Arnold Networks Meet Science'?

This literature focuses on: A major challenge of AI plus science lies in its inherent incompatibility: Today’s AI is primarily based on connectionism, while science depends on symbolism. To bridge the two worlds, we propose a framework to seamlessly synergize Kolmogorov-Arno...

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Yes, open-source projects like TianyiDataScience/openclaw-control-center (Turn OpenClaw from a black box into a local control center you can see, trust, and control.) are actively building upon these concepts.

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Yes, highly correlated activity was mapped. An entry titled 'Competitive interactions shape mammalian brain network dynamics and computation' discusses this: Brain network architecture may balance cooperation and competition across circuits. Here the authors use computational whole-brain modeling across ...

What other academic literature is closely related to 'Kolmogorov-Arnold Networks Meet Science'?

Yes, highly correlated activity was mapped. An entry titled 'The STRING database in 2025: protein networks with directionality of regulation' discusses this: Abstract Proteins cooperate, regulate and bind each other to achieve their functions. Understanding the complex network of their int...

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