{"id":189883,"date":"2024-05-22T17:24:45","date_gmt":"2024-05-22T22:24:45","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2024\/05\/wav-kan-wavelet-kolmogorov-arnold-networks"},"modified":"2024-05-22T17:24:45","modified_gmt":"2024-05-22T22:24:45","slug":"wav-kan-wavelet-kolmogorov-arnold-networks","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2024\/05\/wav-kan-wavelet-kolmogorov-arnold-networks","title":{"rendered":"Wav-KAN: Wavelet Kolmogorov-Arnold Networks"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/wav-kan-wavelet-kolmogorov-arnold-networks3.jpg\"><\/a><\/p>\n<p>The codes to replicate the simulations of the paper: Available at: <a href=\"https:\/\/arxiv.org\/abs\/2405.12832\">https:\/\/arxiv.org\/abs\/2405.12832<\/a> and also: <a href=\"https:\/\/papers.ssrn.com\/sol3\/papers.cfm?abstract_id=4835325\">https:\/\/papers.ssrn.com\/sol3\/papers.cfm?abstract_id=4835325<\/a><\/p>\n<p>For now, we just added the codes to\u2026<\/p>\n<hr>\n<p>In this paper, we introduce Wav-KAN, an innovative neural network architecture that leverages the Wavelet Kolmogorov-Arnold Networks (Wav-KAN) framework to enhance interpretability and performance. Traditional multilayer perceptrons (MLPs) and even recent advancements like Spl-KAN \\cite{kan} face challenges related to interpretability, training speed, robustness, computational efficiency, and performance. Wav-KAN addresses these limitations by incorporating wavelet functions into the Kolmogorov-Arnold network structure, enabling the network to capture both high-frequency and low-frequency components of the input data efficiently. Wavelet-based approximations employ orthogonal or semi-orthogonal basis and also maintains a balance between accurately representing the underlying data structure and avoiding overfitting to the noise. Analogous to how water conforms to the shape of its container, Wav-KAN adapts to the data structure, resulting in enhanced accuracy, faster training speeds, and increased robustness compared to Spl-KAN and MLPs. Our results highlight the potential of Wav-KAN as a powerful tool for developing interpretable and high-performance neural networks, with applications spanning various fields. This work sets the stage for further exploration and implementation of Wav-KAN in frameworks such as PyTorch, TensorFlow, and also it makes wavelet in KAN in wide-spread usage like nowadays activation functions like ReLU, sigmoid in universal approximation theory (UAT).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The codes to replicate the simulations of the paper: Available at: https:\/\/arxiv.org\/abs\/2405.12832 and also: https:\/\/papers.ssrn.com\/sol3\/papers.cfm?abstract_id=4835325 For now, we just added the codes to\u2026 In this paper, we introduce Wav-KAN, an innovative neural network architecture that leverages the Wavelet Kolmogorov-Arnold Networks (Wav-KAN) framework to enhance interpretability and performance. Traditional multilayer perceptrons (MLPs) and even recent advancements [\u2026]<\/p>\n","protected":false},"author":709,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1522,6],"tags":[],"class_list":["post-189883","post","type-post","status-publish","format-standard","hentry","category-innovation","category-robotics-ai"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/189883","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/709"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=189883"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/189883\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=189883"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=189883"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=189883"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}