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The success of deep learning is inseparable from normalization layers. Researchers have proposed various normalization functions, and each of them has both advantages and disadvantages. In response, efforts have been made to design a…

Machine Learning · Computer Science 2024-02-20 Zikai Zhou , Shuo Zhang , Ziruo Wang , Huanran Chen

Neural operators extend data-driven models to map between infinite-dimensional functional spaces. These models have successfully solved continuous dynamical systems represented by differential equations, viz weather forecasting, fluid flow,…

Machine Learning · Computer Science 2023-10-13 Karn Tiwari , N M Anoop Krishnan , Prathosh A P

In this paper, we propose a way to solve partial differential equations (PDEs) by combining machine learning techniques and the finite element method called Phi-FEM. For that, we use the Fourier Neural Operator (FNO), a learning mapping…

Numerical Analysis · Mathematics 2025-03-05 Michel Duprez , Vanessa Lleras , Alexei Lozinski , Vincent Vigon , Killian Vuillemot

This paper presents an adaptive convolutional neural network (CNN) architecture that can automate diverse topology optimization (TO) problems having different underlying physics. The architecture uses the encoder-decoder networks with dense…

Computational Engineering, Finance, and Science · Computer Science 2025-09-10 Khaish Singh Chadha , Prabhat Kumar

It is a challenging task to learn discriminative representation from images and videos, due to large local redundancy and complex global dependency in these visual data. Convolution neural networks (CNNs) and vision transformers (ViTs) have…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Kunchang Li , Yali Wang , Junhao Zhang , Peng Gao , Guanglu Song , Yu Liu , Hongsheng Li , Yu Qiao

Neural operator learning directly constructs the mapping relationship from the equation parameter space to the solution space, enabling efficient direct inference in practical applications without the need for repeated solution of partial…

Machine Learning · Computer Science 2026-04-28 Heng Wu , Junjie Wang , Benzhuo Lu

In this paper, a multi-scale Fourier neural operator (MscaleFNO) is proposed to reduce the spectral bias of the FNO in learning the mapping between highly oscillatory functions, with application to the nonlinear mapping between the…

Numerical Analysis · Mathematics 2024-12-31 Zhilin You , Zhenli Xu , Wei Cai

Deep learning-based neural receivers offer promising physical-layer solutions for next-generation wireless systems. We propose an axial self-attention transformer neural receiver that achieves state-of-the-art Block Error Rate (BLER)…

Signal Processing · Electrical Eng. & Systems 2026-03-11 SaiKrishna Saketh Yellapragada , Atchutaram K. Kocharlakota , Mário Costa , Esa Ollila , Sergiy A. Vorobyov

We propose and demonstrate an alternating Fourier and image domain filtering approach for feature extraction as an efficient alternative to build a vision backbone without using the computationally intensive attention. The performance among…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Yunling Zheng , Zeyi Xu , Fanghui Xue , Biao Yang , Jiancheng Lyu , Shuai Zhang , Yingyong Qi , Jack Xin

Adder neural networks (AdderNets) have shown impressive performance on image classification with only addition operations, which are more energy efficient than traditional convolutional neural networks built with multiplications. Compared…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Xinghao Chen , Chang Xu , Minjing Dong , Chunjing Xu , Yunhe Wang

We formulate mold filling in metal casting as a 2D neural operator learning problem that maps geometry and boundary data on an unstructured mesh to time resolved flow quantities, replacing expensive transient CFD. In the proposed method, a…

Computational Engineering, Finance, and Science · Computer Science 2025-10-31 Edgard Moreira Minete , Mathis Immertreu , Fabian Teichmann , Sebastian Müller

Currently, one main research line in designing a more efficient vision transformer is reducing the computational cost of self attention modules by adopting sparse attention or using local attention windows. In contrast, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Haokui Zhang , Wenze Hu , Xiaoyu Wang

In this paper, we propose a vision model that adopts token mixing, sequence-pooling, and convolutional tokenizers to achieve state-of-the-art performance and efficient inference in fixed context-length tasks. In the CIFAR100 benchmark, our…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Simpenzwe Honore Leandre , Natenaile Asmamaw Shiferaw , Dillip Rout

Neural operators (NO) are discretization invariant deep learning methods with functional output and can approximate any continuous operator. NO have demonstrated the superiority of solving partial differential equations (PDEs) over other…

Numerical Analysis · Mathematics 2024-02-02 Jianguo Huang , Yue Qiu

State-of-the-art speech-to-text models typically employ Transformer-based encoders that model token dependencies via self-attention mechanisms. However, the quadratic complexity of self-attention in both memory and computation imposes…

Computation and Language · Computer Science 2026-03-03 Eva Feillet , Ryan Whetten , David Picard , Alexandre Allauzen

The demand for edge AI in vision-language tasks requires models that achieve real-time performance on resource-constrained devices with limited power and memory. This paper proposes two adaptive compression techniques -- Sparse Temporal…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Md Tasnin Tanvir , Soumitra Das , Sk Md Abidar Rahaman , Ali Shiri Sichani

Large-scale transformer models have emerged as a powerful tool for semantic communication systems, enabling edge devices to extract rich representations for robust inference across noisy wireless channels. However, their substantial…

Machine Learning · Computer Science 2025-11-17 Omar Erak , Omar Alhussein , Hatem Abou-Zeid , Mehdi Bennis

Recently, Vision Transformer and its variants have shown great promise on various computer vision tasks. The ability of capturing short- and long-range visual dependencies through self-attention is arguably the main source for the success.…

Computer Vision and Pattern Recognition · Computer Science 2021-07-02 Jianwei Yang , Chunyuan Li , Pengchuan Zhang , Xiyang Dai , Bin Xiao , Lu Yuan , Jianfeng Gao

Many adaptations of transformers have emerged to address the single-modal vision tasks, where self-attention modules are stacked to handle input sources like images. Intuitively, feeding multiple modalities of data to vision transformers…

Computer Vision and Pattern Recognition · Computer Science 2022-07-18 Yikai Wang , Xinghao Chen , Lele Cao , Wenbing Huang , Fuchun Sun , Yunhe Wang

This paper tackles the problem of efficient video recognition. In this area, video transformers have recently dominated the efficiency (top-1 accuracy vs FLOPs) spectrum. At the same time, there have been some attempts in the image domain…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Adrian Bulat , Brais Martinez , Georgios Tzimiropoulos