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We present a neural network-based method for solving linear and nonlinear partial differential equations, by combining the ideas of extreme learning machines (ELM), domain decomposition and local neural networks. The field solution on each…

数值分析 · 数学 2021-09-22 Suchuan Dong , Zongwei Li

The Extreme Learning Machine (ELM) technique is a machine learning approach for constructing feed-forward neural networks with a single hidden layer and their models. The ELM model can be constructed while being trained by concurrently…

最优化与控制 · 数学 2024-01-30 Muideen Adegoke , Lateef O. Jolaoso , Mardiyyah Oduwole

In this work, we investigate the use of spatio-temporalImplicit Neural Representations (INRs) for dynamic X-ray computed tomography (XCT) reconstruction under interlaced acquisition schemes. The proposed approach combines ADMM-based…

图像与视频处理 · 电气工程与系统科学 2025-10-13 Mathias Boulanger , Ericmoore Jossou

We aim to solve the problem of manipulating deformable objects, particularly elastic bands, in real-world scenarios. However, deformable object manipulation (DOM) requires a policy that works on a large state space due to the unlimited…

机器人学 · 计算机科学 2025-05-02 Minseok Song , JeongHo Ha , Bonggyeong Park , Daehyung Park

An alternative extreme learning machine -ELM- paradigm is presented exploiting random non-linearities -RN, named RN-ELM, instead of a conventional fixed node non-linearity. This method is implemented on a hybrid neural engine, with the…

Implicit Neural Representations (INRs), characterized by neural network-encoded signed distance fields, provide a powerful means to represent complex geometries continuously and efficiently. While successful in computer vision and…

计算工程、金融与科学 · 计算机科学 2025-07-09 Samundra Karki , Ming-Chen Hsu , Adarsh Krishnamurthy , Baskar Ganapathysubramanian

Domain-decomposed variants of physics-informed neural networks (PINNs) such as finite basis PINNs (FBPINNs) mitigate some of PINNs' issues like slow convergence and spectral bias through localisation, but still rely on iterative nonlinear…

数值分析 · 数学 2026-05-20 Samuel Anderson , Victorita Dolean , Ben Moseley , Jennifer Pestana

Extreme Learning Machines (ELM) provide a fast alternative to traditional gradient-based learning in neural networks, offering rapid training and robust generalization capabilities. Its theoretical basis shows its universal approximation…

机器学习 · 计算机科学 2024-06-27 Ergun Biçici

We quantify the upper bound on the size of the implicit neural representation (INR) model from a digital perspective. The upper bound of the model size increases exponentially as the required bit-precision increases. To this end, we present…

计算机视觉与模式识别 · 计算机科学 2025-03-21 Woo Kyoung Han , Byeonghun Lee , Hyunmin Cho , Sunghoon Im , Kyong Hwan Jin

Implicit Neural Representations (INRs) have garnered significant attention for their ability to model complex signals in various domains. Recently, INR-based frameworks have shown promise in neural video compression by embedding video…

图像与视频处理 · 电气工程与系统科学 2025-07-25 Taiga Hayami , Kakeru Koizumi , Hiroshi Watanabe

Physics-Informed Neural Networks have become a powerful mesh-free method for solving partial differential equations, but their performance is often limited by spectral bias. Specifically, in standard MLPs used in PINNs, the global parameter…

机器学习 · 计算机科学 2026-05-04 Jianfeng Li , Feng Wang , Ke Tang

Photonic neural networks offer a promising alternative to traditional electronic systems for machine learning accelerators due to their low latency and energy efficiency. However, the challenge of implementing the backpropagation algorithm…

Fast and accurate MRI reconstruction is a key concern in modern clinical practice. Recently, numerous Deep-Learning methods have been proposed for MRI reconstruction, however, they usually fail to reconstruct sharp details from the…

图像与视频处理 · 电气工程与系统科学 2023-06-21 Hanhui Yang , Juncheng Li , Lok Ming Lui , Shihui Ying , Jun Shi , Tieyong Zeng

Implicit Neural Representations (INRs) leverage neural networks to map coordinates to corresponding signals, enabling continuous and compact representations. This paradigm has driven significant advances in various vision tasks. However,…

计算机视觉与模式识别 · 计算机科学 2026-05-28 Sukhun Ko , Seokhyun Youn , Dahyeon Kye , Kyle Min , Chanho Eom , Jihyong Oh

High-quality imaging in photoacoustic computed tomography (PACT) usually requires a high-channel count system for dense spatial sampling around the object to avoid aliasing-related artefacts. To reduce system complexity, various image…

图像与视频处理 · 电气工程与系统科学 2024-09-24 Bowei Yao , Shilong Cui , Haizhao Dai , Qing Wu , Youshen Xiao , Fei Gao , Jingyi Yu , Yuyao Zhang , Xiran Cai

We consider the use of extreme learning machines (ELM) for computational partial differential equations (PDE). In ELM the hidden-layer coefficients in the neural network are assigned to random values generated on $[-R_m,R_m]$ and fixed,…

计算物理 · 物理学 2022-06-01 Suchuan Dong , Jielin Yang

Magnetic resonance imaging (MRI) is a vital clinical diagnostic tool, yet its application is limited by prolonged scan times. Accelerating MRI reconstruction addresses this issue by reconstructing high-fidelity MR images from undersampled…

计算机视觉与模式识别 · 计算机科学 2025-11-10 Jingran Xu , Yuanyuan Liu , Yuanbiao Yang , Zhuo-Xu Cui , Jing Cheng , Qingyong Zhu , Nannan Zhang , Yihang Zhou , Dong Liang , Yanjie Zhu

Extreme learning machine (ELM) as a simple and rapid neural network has been shown its good performance in various areas. Different from the general single hidden layer feedforward neural network (SLFN), the input weights and biases in…

神经与进化计算 · 计算机科学 2018-11-26 Xixian Zhang , Zhijing Yang , Faxian Cao , Jiangzhong Cao , Meilin Wang , Nian Cai

Implicit neural representations (INRs) have proven effective in various tasks including image, shape, audio, and video reconstruction. These INRs typically learn the implicit field from sampled input points. This is often done using a…

计算机视觉与模式识别 · 计算机科学 2024-10-30 Yizhak Ben-Shabat , Chamin Hewa Koneputugodage , Sameera Ramasinghe , Stephen Gould

For collecting high-quality high-resolution (HR) MR image, we propose a novel image reconstruction network named IREM, which is trained on multiple low-resolution (LR) MR images and achieve an arbitrary up-sampling rate for HR image…

图像与视频处理 · 电气工程与系统科学 2021-06-30 Qing Wu , Yuwei Li , Lan Xu , Ruiming Feng , Hongjiang Wei , Qing Yang , Boliang Yu , Xiaozhao Liu , Jingyi Yu , Yuyao Zhang