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We consider the commonly encountered situation (e.g., in weather forecasting) where the goal is to predict the time evolution of a large, spatiotemporally chaotic dynamical system when we have access to both time series data of previous…

Splitting methods are widely used for solving initial value problems (IVPs) due to their ability to simplify complicated evolutions into more manageable subproblems which can be solved efficiently and accurately. Traditionally, these…

Numerical Analysis · Mathematics 2024-11-15 L. M. Kreusser , H. E. Lockyer , E. H. Müller , P. Singh

Cutting planes (cuts) play an important role in solving mixed-integer linear programs (MILPs), which formulate many important real-world applications. Cut selection heavily depends on (P1) which cuts to prefer and (P2) how many cuts to…

Artificial Intelligence · Computer Science 2024-04-22 Jie Wang , Zhihai Wang , Xijun Li , Yufei Kuang , Zhihao Shi , Fangzhou Zhu , Mingxuan Yuan , Jia Zeng , Yongdong Zhang , Feng Wu

For time-dependent problems with high-contrast multiscale coefficients, the time step size for explicit methods is affected by the magnitude of the coefficient parameter. With a suitable construction of multiscale space, one can achieve a…

Numerical Analysis · Mathematics 2022-04-01 Wing Tat Leung , Yating Wang

A fundamental challenge to providing edge-AI services is the need for a machine learning (ML) model that achieves personalization (i.e., to individual clients) and generalization (i.e., to unseen data) properties concurrently. Existing…

Machine Learning · Computer Science 2023-02-14 Dong-Jun Han , Do-Yeon Kim , Minseok Choi , Christopher G. Brinton , Jaekyun Moon

Deep Neural Network (DNN) splitting is one of the key enablers of edge Artificial Intelligence (AI), as it allows end users to pre-process data and offload part of the computational burden to nearby Edge Cloud Servers (ECSs). This opens new…

Signal Processing · Electrical Eng. & Systems 2024-01-31 Francesco Binucci , Mattia Merluzzi , Paolo Banelli , Emilio Calvanese Strinati , Paolo Di Lorenzo

The calibration and training of a neural network is a complex and time-consuming procedure that requires significant computational resources to achieve satisfactory results. Key obstacles are a large number of hyperparameters to select and…

Machine Learning · Computer Science 2023-09-07 Raffaele Giuseppe Cestari , Gabriele Maroni , Loris Cannelli , Dario Piga , Simone Formentin

In many industry scale applications, large and resource consuming machine learning models reside in powerful cloud servers. At the same time, large amounts of input data are collected at the edge of cloud. The inference results are also…

Machine Learning · Computer Science 2021-08-31 Amin Banitalebi-Dehkordi , Naveen Vedula , Jian Pei , Fei Xia , Lanjun Wang , Yong Zhang

We introduce a new approach for solving forward systems of differential equations using a combination of splitting methods and physics-informed neural networks (PINNs). The proposed method, splitting PINN, effectively addresses the…

Numerical Analysis · Mathematics 2024-04-02 Simin Shekarpaz , Fanhai Zeng , George Karniadakis

The advent of big data and AI has precipitated a demand for computational frameworks that ensure real-time performance, accuracy, and privacy. While edge computing mitigates latency and privacy concerns, its scalability is constrained by…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-23 Hailin Zhong , Donglong Chen

Hamiltonian splitting methods are an established technique to derive stable and accurate integration schemes in molecular dynamics, in which additional accuracy can be gained using force gradients. For rigid bodies, a tradition exists in…

Statistical Mechanics · Physics 2008-04-10 Ramses van Zon , Igor P. Omelyan , Jeremy Schofield

Human-Object Interaction (HOI) consists of human, object and implicit interaction/verb. Different from previous methods that directly map pixels to HOI semantics, we propose a novel perspective for HOI learning in an analytical manner. In…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Yong-Lu Li , Xinpeng Liu , Xiaoqian Wu , Yizhuo Li , Cewu Lu

Split learning (SL) is a collaborative learning framework, which can train an artificial intelligence (AI) model between a device and an edge server by splitting the AI model into a device-side model and a server-side model at a cut layer.…

Networking and Internet Architecture · Computer Science 2023-01-03 Wen Wu , Mushu Li , Kaige Qu , Conghao Zhou , Xuemin , Shen , Weihua Zhuang , Xu Li , Weisen Shi

Classical neural ODEs trained with explicit methods are intrinsically limited by stability, crippling their efficiency and robustness for stiff learning problems that are common in graph learning and scientific machine learning. We present…

Machine Learning · Computer Science 2024-12-17 Hong Zhang , Ying Liu , Romit Maulik

The challenges inherent in long-horizon tasks in robotics persist due to the typical inefficient exploration and sparse rewards in traditional reinforcement learning approaches. To address these challenges, we have developed a novel…

Early exiting allows instances to exit at different layers according to the estimation of difficulty. Previous works usually adopt heuristic metrics such as the entropy of internal outputs to measure instance difficulty, which suffers from…

Computation and Language · Computer Science 2022-03-04 Tianxiang Sun , Xiangyang Liu , Wei Zhu , Zhichao Geng , Lingling Wu , Yilong He , Yuan Ni , Guotong Xie , Xuanjing Huang , Xipeng Qiu

As AI models expand in size, it has become increasingly challenging to deploy federated learning (FL) on resource-constrained edge devices. To tackle this issue, split federated learning (SFL) has emerged as an FL framework with reduced…

Machine Learning · Computer Science 2025-04-22 Zheng Lin , Wei Wei , Zhe Chen , Chan-Tong Lam , Xianhao Chen , Yue Gao , Jun Luo

Ising machines are effective solvers for complex combinatorial optimization problems. The idea is mapping the optimal solution(s) to a combinatorial optimization problem to the minimum energy state(s) of a physical system, which naturally…

Emerging Technologies · Computer Science 2025-03-18 Hüsrev Cılasun , Abhimanyu Kumar , Ziqing Zeng , Nafisa Sadaf Prova , Sachin S. Sapatnekar , Ulya R. Karpuzcu

The significance of distributed learning and inference algorithms in Internet of Things (IoT) network is growing since they flexibly distribute computation load between IoT devices and the infrastructure, enhance data privacy, and minimize…

Networking and Internet Architecture · Computer Science 2024-10-28 Vukan Ninkovic , Dejan Vukobratovic , Dragisa Miskovic , Marco Zennaro

Non-differentiable and constrained optimization play a key role in machine learning, signal and image processing, communications, and beyond. For high-dimensional minimization problems involving large datasets or many unknowns, the…

Numerical Analysis · Computer Science 2016-12-30 Tom Goldstein , Christoph Studer , Richard Baraniuk