
{"id":41623,"date":"2024-09-30T23:48:40","date_gmt":"2024-09-30T23:48:40","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b1%d8%a7%d9%86%d8%b3%d9%81%d9%88%d8%b1%d9%85%d8%a7%d8%aa%d9%88%d8%b1-%da%a9%d9%84%d9%85%d9%88\/"},"modified":"2024-09-30T23:48:41","modified_gmt":"2024-09-30T23:48:41","slug":"%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b1%d8%a7%d9%86%d8%b3%d9%81%d9%88%d8%b1%d9%85%d8%a7%d8%aa%d9%88%d8%b1-%da%a9%d9%84%d9%85%d9%88","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b1%d8%a7%d9%86%d8%b3%d9%81%d9%88%d8%b1%d9%85%d8%a7%d8%aa%d9%88%d8%b1-%da%a9%d9%84%d9%85%d9%88\/","title":{"rendered":"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631 \u06a9\u0644\u0645\u0648\u06af\u0631\u0648\u0641-\u0622\u0631\u0646\u0648\u0644\u062f"},"content":{"rendered":"<table class=\"table table-striped table-hover\">\n<tbody>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\n<td>Kolmogorov-Arnold Transformer<\/td>\n<\/tr>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n<td>\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631 \u06a9\u0644\u0645\u0648\u06af\u0631\u0648\u0641-\u0622\u0631\u0646\u0648\u0644\u062f<\/td>\n<\/tr>\n<tr>\n<td>\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 <\/td>\n<td>Xingyi Yang, Xinchao Wang<\/td>\n<\/tr>\n<tr>\n<td>\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\n<td>PDF<\/td>\n<\/tr>\n<tr>\n<td>\u0632\u0628\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u062a\u062d\u0648\u06cc\u0644\u06cc <\/td>\n<td>\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc<\/td>\n<\/tr>\n<tr>\n<td>\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u062c\u0645\u0647 \u0634\u062f\u0647 <\/td>\n<td>\u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\n<\/tr>\n<tr>\n<td>\u0646\u062d\u0648\u0647 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 <\/td>\n<td>\u062f\u0648 \u062a\u0627 \u0633\u0647 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634 (\u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u062f\u0627\u0646\u0644\u0648\u062f\u06cc)<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n<td>19<\/td>\n<\/tr>\n<tr>\n<td>\u0644\u06cc\u0646\u06a9 \u062f\u0627\u0646\u0644\u0648\u062f \u0631\u0627\u06cc\u06af\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<td><a href=\"https:\/\/arxiv.org\/pdf\/2409.10594\">\u062f\u0627\u0646\u0644\u0648\u062f \u0645\u0642\u0627\u0644\u0647<\/a><\/td>\n<\/tr>\n<tr>\n<td>\u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u0648\u0636\u0648\u0639\u0627\u062a  <\/td>\n<td>Machine Learning,Artificial Intelligence,Computer Vision and Pattern Recognition,Neural and Evolutionary Computing,\u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 , \u0647\u0648\u0634 \u0645\u0635\u0646\u0648\u0639\u06cc , \u0686\u0634\u0645 \u0627\u0646\u062f\u0627\u0632 \u0631\u0627\u06cc\u0627\u0646\u0647 \u0648 \u062a\u0634\u062e\u06cc\u0635 \u0627\u0644\u06af\u0648\u06cc , \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0639\u0635\u0628\u06cc \u0648 \u062a\u06a9\u0627\u0645\u0644\u06cc ,<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a    <\/td>\n<td>Submitted 16 September, 2024; originally announced September 2024. , Comments: Code: https:\/\/github.com\/Adamdad\/kat<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc    <\/td>\n<td>\u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 16 \u0633\u067e\u062a\u0627\u0645\u0628\u0631 2024 \u061b\u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0633\u067e\u062a\u0627\u0645\u0628\u0631 2024 \u0627\u0639\u0644\u0627\u0645 \u0634\u062f. \u060c \u0646\u0638\u0631\u0627\u062a: \u06a9\u062f: https:\/\/github.com\/adamdad\/kat<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \u0627\u0632 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u062f\u0631 \u067e\u0627\u06cc\u06af\u0627\u0647 \u0647\u0627\u06cc \u0639\u0644\u0645\u06cc      <\/td>\n<td>\n            <a href=\"https:\/\/inspirehep.net\/arxiv\/2409.10594\">INSPIRE HEP<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/ui.adsabs.harvard.edu\/abs\/arXiv:2409.10594\">NASA ADS<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/scholar.google.com\/scholar_lookup?arxiv_id=2409.10594\">Google Scholar<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/api.semanticscholar.org\/arXiv:2409.10594\">Semantic Scholar<\/a><br \/>\n            <br \/>\n            <a href=\"https:\/\/arxiv.org\/abs\/2409.10594>arXiv<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\r\n<table class=\"table table-striped table-hover table-primary\">\r\n    <tr>\r\n        <td>\u0641\u0631\u0645\u062a \u0627\u0631\u0627\u0626\u0647 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\u062a\u062d\u0648\u06cc\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\r\n    <\/tr>\r\n    <tr>\r\n        <td>\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\u0628\u06cc\u0646 2 \u062a\u0627 3 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634<\/td>\r\n    <\/tr>\r\n\t<tr>\r\n        <td>\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647  <\/td>\r\n        <td>\u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/td>\r\n    <\/tr>\r\n\t\t<tr>\r\n        <td>\u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627  <\/td>\r\n        <td>\u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/td>\r\n    <\/tr>\r\n<\/table>\r\n\r\n\n<h2>\u0686\u06a9\u06cc\u062f\u0647<\/h2>\n<p style=\"direction:ltr;\">Transformers stand as the cornerstone of mordern deep learning. Traditionally, these models rely on multi-layer perceptron (MLP) layers to mix the information between channels. In this paper, we introduce the Kolmogorov-Arnold Transformer (KAT), a novel architecture that replaces MLP layers with Kolmogorov-Arnold Network (KAN) layers to enhance the expressiveness and performance of the model. Integrating KANs into transformers, however, is no easy feat, especially when scaled up. Specifically, we identify three key challenges: (C1) Base function. The standard B-spline function used in KANs is not optimized for parallel computing on modern hardware, resulting in slower inference speeds. (C2) Parameter and Computation Inefficiency. KAN requires a unique function for each input-output pair, making the computation extremely large. (C3) Weight initialization. The initialization of weights in KANs is particularly challenging due to their learnable activation functions, which are critical for achieving convergence in deep neural networks. To overcome the aforementioned challenges, we propose three key solutions: (S1) Rational basis. We replace B-spline functions with rational functions to improve compatibility with modern GPUs. By implementing this in CUDA, we achieve faster computations. (S2) Group KAN. We share the activation weights through a group of neurons, to reduce the computational load without sacrificing performance. (S3) Variance-preserving initialization. We carefully initialize the activation weights to make sure that the activation variance is maintained across layers. With these designs, KAT scales effectively and readily outperforms traditional MLP-based transformers.<\/p>\n<h2>\u0686\u06a9\u06cc\u062f\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc (\u062a\u0631\u062c\u0645\u0647 \u0645\u0627\u0634\u06cc\u0646\u06cc)<\/h2>\n<p>\u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631\u0647\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0633\u0646\u06af \u0628\u0646\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0639\u0645\u06cc\u0642 Mordern \u0627\u06cc\u0633\u062a\u0627\u062f\u0647 \u0627\u0646\u062f.\u0628\u0647 \u0637\u0648\u0631 \u0633\u0646\u062a\u06cc \u060c \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0647\u0627 \u0628\u0631\u0627\u06cc \u0645\u062e\u0644\u0648\u0637 \u06a9\u0631\u062f\u0646 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0646 \u06a9\u0627\u0646\u0627\u0644 \u0647\u0627 \u0628\u0647 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0686\u0646\u062f \u0644\u0627\u06cc\u0647 Perceptron (MLP) \u0645\u062a\u06a9\u06cc \u0647\u0633\u062a\u0646\u062f.\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u060c \u0645\u0627 \u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631 Kolmogorov-Arnold (KAT) \u0631\u0627 \u0645\u0639\u0631\u0641\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u060c \u06cc\u06a9 \u0645\u0639\u0645\u0627\u0631\u06cc \u062c\u062f\u06cc\u062f \u06a9\u0647 \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc MLP \u0628\u0627 \u0644\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0634\u0628\u06a9\u0647 Kolmogorov-Arnold (KAN) \u0628\u0631\u0627\u06cc \u062a\u0642\u0648\u06cc\u062a \u0628\u06cc\u0627\u0646 \u0648 \u0639\u0645\u0644\u06a9\u0631\u062f \u0645\u062f\u0644 \u0645\u06cc \u0634\u0648\u062f.\u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644 \u060c \u0627\u062f\u063a\u0627\u0645 KANS \u062f\u0631 \u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631\u0647\u0627 \u060c \u0628\u0647 \u0648\u06cc\u0698\u0647 \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0645\u0642\u06cc\u0627\u0633 \u0628\u0646\u062f\u06cc \u0645\u06cc \u0634\u0648\u062f \u060c \u06a9\u0627\u0631 \u0633\u0627\u062f\u0647 \u0627\u06cc \u0646\u06cc\u0633\u062a.\u0628\u0647 \u0637\u0648\u0631 \u062e\u0627\u0635 \u060c \u0645\u0627 \u0633\u0647 \u0686\u0627\u0644\u0634 \u0627\u0635\u0644\u06cc \u0631\u0627 \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u0645: (C1) \u0639\u0645\u0644\u06a9\u0631\u062f \u067e\u0627\u06cc\u0647.\u0639\u0645\u0644\u06a9\u0631\u062f \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f B-spline \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062f\u0631 KANS \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u0648\u0627\u0632\u06cc \u0628\u0631 \u0631\u0648\u06cc \u0633\u062e\u062a \u0627\u0641\u0632\u0627\u0631 \u0645\u062f\u0631\u0646 \u0628\u0647\u06cc\u0646\u0647 \u0646\u0634\u062f\u0647 \u0648 \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647 \u0633\u0631\u0639\u062a \u0627\u0633\u062a\u0646\u0628\u0627\u0637 \u06a9\u0646\u062f\u062a\u0631 \u0627\u0633\u062a.(C2) \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0648 \u0646\u0627\u06a9\u0627\u0631\u0622\u0645\u062f\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a.Kan \u0628\u0631\u0627\u06cc \u0647\u0631 \u062c\u0641\u062a \u0648\u0631\u0648\u062f\u06cc \u0648 \u062e\u0631\u0648\u062c\u06cc \u0628\u0647 \u06cc\u06a9 \u0639\u0645\u0644\u06a9\u0631\u062f \u0645\u0646\u062d\u0635\u0631 \u0628\u0647 \u0641\u0631\u062f \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u062f \u0648 \u0627\u06cc\u0646 \u0645\u062d\u0627\u0633\u0628\u0647 \u0631\u0627 \u0628\u0633\u06cc\u0627\u0631 \u0628\u0632\u0631\u06af \u0645\u06cc \u06a9\u0646\u062f.(C3) \u0627\u0648\u0644\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0648\u0632\u0646.\u0627\u0648\u0644\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0648\u0632\u0646\u0647 \u0647\u0627 \u062f\u0631 KANS \u0628\u0647 \u062f\u0644\u06cc\u0644 \u0639\u0645\u0644\u06a9\u0631\u062f\u0647\u0627\u06cc \u0641\u0639\u0627\u0644 \u0633\u0627\u0632\u06cc \u0642\u0627\u0628\u0644 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u060c \u06a9\u0647 \u0628\u0631\u0627\u06cc \u062f\u0633\u062a\u06cc\u0627\u0628\u06cc \u0628\u0647 \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u062f\u0631 \u0634\u0628\u06a9\u0647 \u0647\u0627\u06cc \u0639\u0635\u0628\u06cc \u0639\u0645\u06cc\u0642 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a \u060c \u0628\u0647 \u0648\u06cc\u0698\u0647 \u0686\u0627\u0644\u0634 \u0628\u0631\u0627\u0646\u06af\u06cc\u0632 \u0627\u0633\u062a.\u0628\u0631\u0627\u06cc \u063a\u0644\u0628\u0647 \u0628\u0631 \u0686\u0627\u0644\u0634 \u0647\u0627\u06cc \u0641\u0648\u0642 \u060c \u0645\u0627 \u0633\u0647 \u0631\u0627\u0647 \u062d\u0644 \u0627\u0635\u0644\u06cc \u0631\u0627 \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc \u06a9\u0646\u06cc\u0645: (S1) \u0645\u0628\u0646\u0627\u06cc \u0639\u0642\u0644\u0627\u0646\u06cc.\u0645\u0627 \u062a\u0648\u0627\u0628\u0639 B-spline \u0631\u0627 \u0628\u0627 \u062a\u0648\u0627\u0628\u0639 \u0645\u0646\u0637\u0642\u06cc \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u062a\u0627 \u0633\u0627\u0632\u06af\u0627\u0631\u06cc \u0628\u0627 GPU \u0647\u0627\u06cc \u0645\u062f\u0631\u0646 \u0631\u0627 \u0628\u0647\u0628\u0648\u062f \u0628\u062e\u0634\u06cc\u0645.\u0628\u0627 \u0627\u062c\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u062f\u0631 CUDA \u060c \u0628\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0633\u0631\u06cc\u0639\u062a\u0631 \u0645\u06cc \u0631\u0633\u06cc\u0645.(S2) \u06af\u0631\u0648\u0647 Kan.\u0645\u0627 \u0648\u0632\u0646 \u0641\u0639\u0627\u0644 \u0633\u0627\u0632\u06cc \u0631\u0627 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u06af\u0631\u0648\u0647\u06cc \u0627\u0632 \u0646\u0648\u0631\u0648\u0646 \u0647\u0627 \u0628\u0647 \u0627\u0634\u062a\u0631\u0627\u06a9 \u0645\u06cc \u06af\u0630\u0627\u0631\u06cc\u0645 \u062a\u0627 \u0628\u0627\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0631\u0627 \u0628\u062f\u0648\u0646 \u0642\u0631\u0628\u0627\u0646\u06cc \u06a9\u0631\u062f\u0646 \u0639\u0645\u0644\u06a9\u0631\u062f \u06a9\u0627\u0647\u0634 \u062f\u0647\u06cc\u0645.(S3) \u0627\u0648\u0644\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0648\u0627\u0631\u06cc\u0627\u0646\u0633.\u0645\u0627 \u0628\u0627 \u062f\u0642\u062a \u0648\u0632\u0646\u0647\u0627\u06cc \u0641\u0639\u0627\u0644 \u0633\u0627\u0632\u06cc \u0631\u0627 \u0628\u0627 \u062f\u0642\u062a \u062a\u0646\u0638\u06cc\u0645 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u062a\u0627 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u062d\u0627\u0635\u0644 \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0641\u0639\u0627\u0644 \u0633\u0627\u0632\u06cc \u062f\u0631 \u0644\u0627\u06cc\u0647 \u0647\u0627 \u062d\u0641\u0638 \u0645\u06cc \u0634\u0648\u062f.\u0628\u0627 \u0627\u06cc\u0646 \u0637\u0631\u062d \u0647\u0627 \u060c \u0645\u0642\u06cc\u0627\u0633 \u0647\u0627\u06cc KAT \u0628\u0647 \u0637\u0648\u0631 \u0645\u0624\u062b\u0631 \u0648 \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u0627\u0632 \u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631\u0647\u0627\u06cc \u0633\u0646\u062a\u06cc \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 MLP \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n\r\n<table class=\"table table-striped table-hover table-primary\">\r\n    <tr>\r\n        <td>\u0641\u0631\u0645\u062a \u0627\u0631\u0627\u0626\u0647 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\u062a\u062d\u0648\u06cc\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\r\n    <\/tr>\r\n    <tr>\r\n        <td>\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647  <\/td>\r\n        <td>\u0628\u06cc\u0646 2 \u062a\u0627 3 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634<\/td>\r\n    <\/tr>\r\n\t<tr>\r\n        <td>\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647  <\/td>\r\n        <td>\u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/td>\r\n    <\/tr>\r\n\t\t<tr>\r\n        <td>\u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627  <\/td>\r\n        <td>\u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/td>\r\n    <\/tr>\r\n<\/table>\r\n\r\n\n","protected":false},"excerpt":{"rendered":"<p>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Kolmogorov-Arnold Transformer \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc \u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631 \u06a9\u0644\u0645\u0648\u06af\u0631\u0648\u0641-\u0622\u0631\u0646\u0648\u0644\u062f \u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 Xingyi Yang, Xinchao Wang [&hellip;]<\/p>\n","protected":false},"featured_media":27,"comment_status":"open","ping_status":"open","template":"","meta":{"pmpro_default_level":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}}},"product_cat":[21],"product_tag":[],"class_list":{"0":"post-41623","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-21","7":"pmpro-has-access","8":"desktop-align-left","9":"tablet-align-left","10":"mobile-align-left","12":"first","13":"instock","14":"downloadable","15":"shipping-taxable","16":"purchasable","17":"product-type-simple"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631 \u06a9\u0644\u0645\u0648\u06af\u0631\u0648\u0641-\u0622\u0631\u0646\u0648\u0644\u062f - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/express24.ir\/d\/product\/\u062a\u0631\u062c\u0645\u0647-\u0641\u0627\u0631\u0633\u06cc-\u0645\u0642\u0627\u0644\u0647-\u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631-\u06a9\u0644\u0645\u0648\/\" \/>\n<meta property=\"og:locale\" content=\"fa_IR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631 \u06a9\u0644\u0645\u0648\u06af\u0631\u0648\u0641-\u0622\u0631\u0646\u0648\u0644\u062f - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\" \/>\n<meta property=\"og:description\" content=\"\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Kolmogorov-Arnold Transformer \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc \u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631 \u06a9\u0644\u0645\u0648\u06af\u0631\u0648\u0641-\u0622\u0631\u0646\u0648\u0644\u062f \u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 Xingyi Yang, Xinchao Wang [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/express24.ir\/d\/product\/\u062a\u0631\u062c\u0645\u0647-\u0641\u0627\u0631\u0633\u06cc-\u0645\u0642\u0627\u0644\u0647-\u062a\u0631\u0627\u0646\u0633\u0641\u0648\u0631\u0645\u0627\u062a\u0648\u0631-\u06a9\u0644\u0645\u0648\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\" \/>\n<meta property=\"article:modified_time\" content=\"2024-09-30T23:48:41+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/express24.ir\/d\/wp-content\/uploads\/2024\/02\/Elsevier_logo_2019.svg_.png\" \/>\n\t<meta property=\"og:image:width\" content=\"440\" \/>\n\t<meta property=\"og:image:height\" content=\"486\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" 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