Exploring Kolmogorov–Arnold Network Expansions in Vision Transformers for Mitigation of Catastrophic Forgetting in Continual Learning

Continual Learning (CL), the ability of a model to learn new tasks without forgetting previously acquired knowledge, remains a critical challenge in artificial intelligence. This is particularly true for Vision Transformers (ViTs) that utilize Multilayer Perceptrons (MLPs) for global representation learning. Catastrophic forgetting, where new information overwrites prior knowledge, is especially problematic in these models. This research proposes the replacement of MLPs in ViTs with Kolmogorov–Arnold Networks (KANs) to address this issue. KANs leverage local plasticity through spline-based activations, ensuring that only a subset of parameters is updated per sample, thereby preserving previously learned knowledge. This study investigates the efficacy of KAN-based ViTs in CL scenarios across various benchmark datasets (MNIST, CIFAR100, and TinyImageNet-200), focusing on this approach’s ability to retain accuracy on earlier tasks while adapting to new ones. Our experimental results demonstrate that KAN-based ViTs significantly mitigate catastrophic forgetting, outperforming traditional MLP-based ViTs in both knowledge retention and task adaptation. This novel integration of KANs into ViTs represents a promising step toward more robust and adaptable models for dynamic environments.

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Publication Details

Journal
Mathematics
Published
2025-09-16
DOI
https://doi.org/10.3390/math13182988
Primary Topic
Domain Adaptation and Few-Shot Learning
Type
article
Field-Weighted Citation Impact
0.00
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article

Exploring Kolmogorov–Arnold Network Expansions in Vision Transformers for Mitigation of Catastrophic Forgetting in Continual Learning

Jihie Kim, Zahid Ullah
Mathematics
Domain Adaptation and Few-Shot Learning
article

Exploring Kolmogorov–Arnold Network Expansions in Vision Transformers for Mitigation of Catastrophic Forgetting in Continual Learning

Jihie Kim, Zahid Ullah
article en

Abstract

Continual Learning (CL), the ability of a model to learn new tasks without forgetting previously acquired knowledge, remains a critical challenge in artificial intelligence. This is particularly true for Vision Transformers (ViTs) that utilize Multilayer Perceptrons (MLPs) for global representation learning. Catastrophic forgetting, where new information overwrites prior knowledge, is especially problematic in these models. This research proposes the replacement of MLPs in ViTs with Kolmogorov–Arnold Networks (KANs) to address this issue. KANs leverage local plasticity through spline-based activations, ensuring that only a subset of parameters is updated per sample, thereby preserving previously learned knowledge. This study investigates the efficacy of KAN-based ViTs in CL scenarios across various benchmark datasets (MNIST, CIFAR100, and TinyImageNet-200), focusing on this approach’s ability to retain accuracy on earlier tasks while adapting to new ones. Our experimental results demonstrate that KAN-based ViTs significantly mitigate catastrophic forgetting, outperforming traditional MLP-based ViTs in both knowledge retention and task adaptation. This novel integration of KANs into ViTs represents a promising step toward more robust and adaptable models for dynamic environments.

MathematicsVol. 13(18)
Dongguk University (KR)
Openalex Percentile: Top 87%
Domain Adaptation and Few-Shot Learning
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Exploring Kolmogorov–Arnold Network Expansions in Vision Transformers for Mitigation of Catastrophic Forgetting in Continual Learning — Jihie Kim, Zahid Ullah · Mathematics (2025) | TGRS Research Map | TGRS