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We introduce Small PDE U-Net Solver (SPUS), a compact and efficient foundation model (FM) designed as a unified neural operator for solving a wide range of partial differential equations (PDEs). Unlike existing state-of-the-art PDE…

Computer Vision and Pattern Recognition · Computer Science 2025-10-03 Abu Bucker Siddik , Diane Oyen , Alexander Most , Michal Kucer , Ayan Biswas

Many current neural networks for medical imaging generalise poorly to data unseen during training. Such behaviour can be caused by networks overfitting easy-to-learn, or statistically dominant, features while disregarding other potentially…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Joona Pohjonen , Carolin Stürenberg , Antti Rannikko , Tuomas Mirtti , Esa Pitkänen

Numerical simulation of ordinary differential equations (ODEs) can be challenging when the system exhibits high accelerations and rapidly changing dynamics. Under these conditions the ODE solver often needs to take very small time steps in…

Numerical Analysis · Mathematics 2026-05-11 Andrew Tagg , Andrew Frandsen , Andrew Ning

Recent semantic segmentation methods exploit encoder-decoder architectures to produce the desired pixel-wise segmentation prediction. The last layer of the decoders is typically a bilinear upsampling procedure to recover the final…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Zhi Tian , Tong He , Chunhua Shen , Youliang Yan

Previous works on the Recurrent Neural Network-Transducer (RNN-T) models have shown that, under some conditions, it is possible to simplify its prediction network with little or no loss in recognition accuracy (arXiv:2003.07705 [eess.AS],…

Computation and Language · Computer Science 2021-09-17 Rami Botros , Tara N. Sainath , Robert David , Emmanuel Guzman , Wei Li , Yanzhang He

Large-scale deep learning models are increasingly constrained by their immense energy consumption, limiting their scalability and applicability for edge intelligence. In-memory computing (IMC) offers a promising solution by addressing the…

Machine Learning · Computer Science 2025-03-24 Yusuke Sakemi , Yuji Okamoto , Takashi Morie , Sou Nobukawa , Takeo Hosomi , Kazuyuki Aihara

Ultra-reliable low-latency communications (URLLC) demand decoding algorithms that simultaneously offer high reliability and low complexity under stringent latency constraints. While iterative decoding schemes for LDPC and Polar codes offer…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Enrico Testi , Enrico Paolini

Orthogonal Frequency Division Multiplexing (OFDM)-based waveforms are used for communication links in many current and emerging Internet of Things (IoT) applications, including the latest WiFi standards. For such OFDM-based transceivers,…

It has been found that residual networks are an Euler discretization of solutions to Ordinary Differential Equations (ODEs). In this paper, we explore a deeper relationship between Transformer and numerical methods of ODEs. We show that a…

Computation and Language · Computer Science 2021-04-07 Bei Li , Quan Du , Tao Zhou , Shuhan Zhou , Xin Zeng , Tong Xiao , Jingbo Zhu

Automatic segmentation of brain glioma from multimodal MRI scans plays a key role in clinical trials and practice. Unfortunately, manual segmentation is very challenging, time-consuming, costly, and often inaccurate despite human expertise…

Image and Video Processing · Electrical Eng. & Systems 2020-12-08 Minh H. Vu , Tufve Nyholm , Tommy Löfstedt

We propose a modularization method that decomposes a deep neural network (DNN) into small modules from a functionality perspective and recomposes them into a new model for some other task. Decomposed modules are expected to have the…

Machine Learning · Computer Science 2021-12-28 Hiroaki Kingetsu , Kenichi Kobayashi , Taiji Suzuki

Ordered statistics decoding has been instrumental in addressing decoding failures that persist after normalized min-sum decoding in short low-density parity-check codes. Despite its benefits, the high computational complexity of effective…

Information Theory · Computer Science 2025-06-23 Guangwen Li , Xiao Yu

Neural ordinary differential equations (neural ODEs) have emerged as a novel network architecture that bridges dynamical systems and deep learning. However, the gradient obtained with the continuous adjoint method in the vanilla neural ODE…

Machine Learning · Computer Science 2023-06-12 Hong Zhang , Wenjun Zhao

We present a new data-driven reduced-order modeling approach to efficiently solve parametrized partial differential equations (PDEs) for many-query problems. This work is inspired by the concept of implicit neural representation (INR),…

Numerical Analysis · Mathematics 2023-11-30 Tianshu Wen , Kookjin Lee , Youngsoo Choi

Neural Ordinary Differential Equations (NODEs) use a neural network to model the instantaneous rate of change in the state of a system. However, despite their apparent suitability for dynamics-governed time-series, NODEs present a few…

Machine Learning · Computer Science 2021-08-18 Alexander Norcliffe , Cristian Bodnar , Ben Day , Jacob Moss , Pietro Liò

As the rapid development of computer vision and the emergence of powerful network backbones and architectures, the application of deep learning in medical imaging has become increasingly significant. Unlike natural images, medical images…

Image and Video Processing · Electrical Eng. & Systems 2026-04-10 Guoqing Zhang , Jingyun Yang , Yang Li

In medical imaging, scans often reveal objects with varied contrasts but consistent internal intensities or textures. This characteristic enables the use of low-frequency approximations for tasks such as segmentation and deformation field…

Image and Video Processing · Electrical Eng. & Systems 2024-01-19 Hang Zhang , Xiang Chen , Rongguang Wang , Renjiu Hu , Dongdong Liu , Gaolei Li

The universality of deep neural networks across different modalities and their generalization capabilities to unseen domains play an essential role in medical image segmentation. The recent segment anything model (SAM) has demonstrated…

Image and Video Processing · Electrical Eng. & Systems 2025-07-02 Qing Xu , Jiaxuan Li , Xiangjian He , Chenxin Li , Fiseha B. Tesem , Wenting Duan , Zhen Chen , Rong Qu , Jonathan M. Garibaldi , Chang Wen Chen

Deep neural networks have been widely used in medical image analysis and medical image segmentation is one of the most important tasks. U-shaped neural networks with encoder-decoder are prevailing and have succeeded greatly in various…

Image and Video Processing · Electrical Eng. & Systems 2023-06-09 Juntao Jiang , Xiyu Chen , Guanzhong Tian , Yong Liu

Automatic medical image segmentation is a crucial topic in the medical domain and successively a critical counterpart in the computer-aided diagnosis paradigm. U-Net is the most widespread image segmentation architecture due to its…