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Physics-informed deep operator networks (DeepONets) have emerged as a promising approach toward numerically approximating the solution of partial differential equations (PDEs). In this work, we aim to develop further understanding of what…

Machine Learning · Computer Science 2024-11-28 Emily Williams , Amanda Howard , Brek Meuris , Panos Stinis

In this paper, we consider the design of model predictive control (MPC) algorithms based on deep operator neural networks (DeepONets). These neural networks are capable of accurately approximating real and complex valued solutions of…

Optimization and Control · Mathematics 2025-05-26 Thomas Oliver de Jong , Khemraj Shukla , Mircea Lazar

Scaling the size of a model enhances its capabilities but significantly increases computation complexity. Mixture-of-Experts models (MoE) address the issue by allowing model size to scale up without substantially increasing training or…

Computation and Language · Computer Science 2024-08-30 Zhenpeng Su , Zijia Lin , Xue Bai , Xing Wu , Yizhe Xiong , Haoran Lian , Guangyuan Ma , Hui Chen , Guiguang Ding , Wei Zhou , Songlin Hu

Deep operator networks (DeepONets) have demonstrated their capability of approximating nonlinear operators for initial- and boundary-value problems. One attractive feature of DeepONets is their versatility since they do not rely on prior…

Numerical Analysis · Mathematics 2023-07-27 Ziad Aldirany , Régis Cottereau , Marc Laforest , Serge Prudhomme

In mobile edge computing (MEC) networks, mobile users generate diverse machine learning tasks dynamically over time. These tasks are typically offloaded to the nearest available edge server, by considering communication and computational…

Machine Learning · Computer Science 2025-03-26 Hongbo Li , Lingjie Duan

This study presents an enhanced multi-fidelity Deep Operator Network (DeepONet) framework for efficient spatio-temporal flow field prediction when high-fidelity data is scarce. Key innovations include: a merge network replacing traditional…

Fluid Dynamics · Physics 2025-07-18 Sunwoong Yang , Youngkyu Lee , Namwoo Kang

Medical imaging data is inherently heterogeneous across different modalities and clinical centers, posing unique challenges for developing generalizable foundation models. Conventional entails training distinct models per dataset or using a…

Image and Video Processing · Electrical Eng. & Systems 2024-05-16 Yufeng Jiang , Yiqing Shen

Single domain generalization (SDG) has recently attracted growing attention in medical image segmentation. One promising strategy for SDG is to leverage consistent semantic shape priors across different imaging protocols, scanner vendors,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Jia Wei , Xiaoqi Zhao , Jonghye Woo , Jinsong Ouyang , Georges El Fakhri , Qingyu Chen , Xiaofeng Liu

Ensemble learning is a general technique to improve accuracy in machine learning. However, the heavy computation of a ConvNets ensemble limits its usage in deep learning. In this paper, we present Group Ensemble Network (GENet), an…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 Hao Chen , Abhinav Shrivastava

Implicit-depth models such as Deep Equilibrium Networks have recently been shown to match or exceed the performance of traditional deep networks while being much more memory efficient. However, these models suffer from unstable convergence…

Machine Learning · Computer Science 2021-05-05 Ezra Winston , J. Zico Kolter

Mixture of Experts (MoE) has emerged as a promising paradigm for scaling model capacity while preserving computational efficiency, particularly in large-scale machine learning architectures such as large language models (LLMs). Recent…

Networking and Internet Architecture · Computer Science 2026-01-29 Yunting Xu , Jiacheng Wang , Ruichen Zhang , Changyuan Zhao , Dusit Niyato , Jiawen Kang , Zehui Xiong , Bo Qian , Haibo Zhou , Shiwen Mao , Abbas Jamalipour , Xuemin Shen , Dong In Kim

In this work, we introduce a novel neural operator, the Solute Transport Operator Network (STONet), to efficiently model contaminant transport in micro-cracked porous media. STONet's model architecture is specifically designed for this…

Machine Learning · Computer Science 2025-07-02 Ehsan Haghighat , Mohammad Hesan Adeli , S Mohammad Mousavi , Ruben Juanes

The Mixture of Experts (MoE) is an advanced model architecture in the industry that combines multiple specialized expert models from various domains into a single supermodel. This approach enables the model to scale without significantly…

Machine Learning · Computer Science 2024-11-04 Jingming Guo , Yan Liu , Yu Meng , Zhiwei Tao , Banglan Liu , Gang Chen , Xiang Li

Despite the significant breakthrough of Mixture-of-Experts (MoE), the increasing scale of these MoE models presents huge memory and storage challenges. Existing MoE pruning methods, which involve reducing parameter size with a uniform…

Computation and Language · Computer Science 2025-09-22 Sikai Bai , Haoxi Li , Jie Zhang , Zicong Hong , Song Guo

Mixture-of-Experts (MoE) models have shown remarkable capability in instruction tuning, especially when the number of tasks scales. However, previous methods simply merge all training tasks (e.g. creative writing, coding, and mathematics)…

Computation and Language · Computer Science 2024-06-18 Tong Zhu , Daize Dong , Xiaoye Qu , Jiacheng Ruan , Wenliang Chen , Yu Cheng

Mixture of Experts (MoE), an ensemble of specialized models equipped with a router that dynamically distributes each input to appropriate experts, has achieved successful results in the field of machine learning. However, theoretical…

Machine Learning · Computer Science 2025-08-19 Ryotaro Kawata , Kohsei Matsutani , Yuri Kinoshita , Naoki Nishikawa , Taiji Suzuki

Traditional numerical schemes for simulating fluid flow and transport in porous media can be computationally expensive. Advances in machine learning for scientific computing have the potential to help speed up the simulation time in many…

Computational Physics · Physics 2023-07-06 Waleed Diab , Omar Chaabi , Shayma Alkobaisi , Abeeb Awotunde , Mohammed Al Kobaisi

Vulnerability to adversarial attacks is a well-known deficiency of deep neural networks. Larger networks are generally more robust, and ensembling is one method to increase adversarial robustness: each model's weaknesses are compensated by…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Svetlana Pavlitska , Enrico Eisen , J. Marius Zöllner

The Mixture-of-Experts (MoE) structure scales the Transformer-based large language models (LLMs) and improves their performance with only the sub-linear increase in computation resources. Recently, a fine-grained DeepSeekMoE structure is…

Machine Learning · Computer Science 2025-03-10 Zewen Jin , Shengnan Wang , Jiaan Zhu , Hongrui Zhan , Youhui Bai , Lin Zhang , Zhenyu Ming , Cheng Li

Sparse Mixtures of Experts (SMoE) scales model capacity without significant increases in training and inference costs, but exhibits the following two issues: (1) Low expert activation, where only a small subset of experts are activated for…

Computation and Language · Computer Science 2024-04-24 Xun Wu , Shaohan Huang , Wenhui Wang , Furu Wei
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