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Learning dynamics governed by differential equations is crucial for predicting and controlling the systems in science and engineering. Neural Ordinary Differential Equation (NODE), a deep learning model integrated with differential…

Machine Learning · Computer Science 2021-11-09 Shiqi Gong , Qi Meng , Yue Wang , Lijun Wu , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

We propose a novel deep learning-based channel estimation technique for high-dimensional communication signals that does not require any training. Our method is broadly applicable to channel estimation for multicarrier signals with any…

Signal Processing · Electrical Eng. & Systems 2019-04-23 Eren Balevi , Jeffrey G. Andrews

We present PIVONet (Physically-Informed Variational ODE Neural Network), a unified framework that integrates Neural Ordinary Differential Equations (Neuro-ODEs) with Continuous Normalizing Flows (CNFs) for stochastic fluid simulation and…

Computational Engineering, Finance, and Science · Computer Science 2026-01-08 Hei Shing Cheung , Qicheng Long , Zhiyue Lin

Accurate wireless channel estimation is critical for next-generation wireless systems, enabling precise precoding for effective user separation, reduced interference across cells, and high-resolution sensing, among other benefits.…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Alireza Javid , Nuria González-Prelcic

In this paper, we propose a model-driven channel estimation method utilizing a convolutional neural network (CNN) derived from image super-resolution (SR). Instead of completely abandoning traditional communication modules as data-driven…

Signal Processing · Electrical Eng. & Systems 2019-12-02 Xin Ru , Li Wei , Youyun Xu

Stochastic differential equations (SDEs) are used to describe a wide variety of complex stochastic dynamical systems. Learning the hidden physics within SDEs is crucial for unraveling fundamental understanding of these systems' stochastic…

Machine Learning · Computer Science 2022-07-26 Jared O'Leary , Joel A. Paulson , Ali Mesbah

Site-specific channel inference plays a critical role in the design and evaluation of next-generation wireless communication systems by considering the surrounding propagation environment. However, traditional methods are unscalable.…

Image and Video Processing · Electrical Eng. & Systems 2026-04-14 Junzhe Song , Ruisi He , Mi Yang , Zhengyu Zhang , Shuaiqi Gao , Bo Ai , Zhangdui Zhong

The performance of millimeter wave (mmWave) communications critically depends on the accuracy of beamforming both at base station (BS) and user terminals (UEs) due to high isotropic path-loss and channel attenuation. In high mobility…

Information Theory · Computer Science 2021-08-11 Saeid K. Dehkordi , Mari Kobayashi , Giuseppe Caire

Deep learning has an increasing impact to assist research, allowing, for example, the discovery of novel materials. Until now, however, these artificial intelligence techniques have fallen short of discovering the full differential equation…

In this paper, we present an initial attempt to learn evolution PDEs from data. Inspired by the latest development of neural network designs in deep learning, we propose a new feed-forward deep network, called PDE-Net, to fulfill two…

Numerical Analysis · Mathematics 2018-01-03 Zichao Long , Yiping Lu , Xianzhong Ma , Bin Dong

This paper proposes a deep learning-based channel estimation method for multi-cell interference-limited massive MIMO systems, in which base stations equipped with a large number of antennas serve multiple single-antenna users. The proposed…

Signal Processing · Electrical Eng. & Systems 2019-08-02 Eren Balevi , Akash Doshi , Jeffrey G. Andrews

High mobility channel estimation is crucial for beyond 5G (B5G) or 6G wireless communication networks. This paper is concerned with channel estimation of high mobility OFDM communication systems. First, a two-dimensional compressed sensing…

Information Theory · Computer Science 2020-12-02 Yinchuan Li , Xiaodong Wang , Robert L. Olesen

We improve the accuracy of Guidance & Control Networks (G&CNETs), trained to represent the optimal control policies of a time-optimal transfer and a mass-optimal landing, respectively. In both cases we leverage the dynamics of the…

Machine Learning · Computer Science 2024-04-29 Sebastien Origer , Dario Izzo

We propose a drone signal out-of-distribution (OOD) detection algorithm based on discriminability-driven spatial-channel selection with a gradient norm. Time-frequency image features are adaptively weighted along both spatial and channel…

Machine Learning · Computer Science 2026-01-27 Chuhan Feng , Jing Li , Jie Li , Lu Lv , Fengkui Gong

The idea of neural Ordinary Differential Equations (ODE) is to approximate the derivative of a function (data model) instead of the function itself. In residual networks, instead of having a discrete sequence of hidden layers, the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Seyedalireza Khoshsirat , Chandra Kambhamettu

Emerging Artificial Intelligence of Things (AIoT) applications desire online prediction using deep neural network (DNN) models on mobile devices. However, due to the movement of devices, unfamiliar test samples constantly appear,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Yunzhe Li , Hongzi Zhu , Zhuohong Deng , Yunlong Cheng , Zimu Zheng , Liang Zhang , Shan Chang , Minyi Guo

In this paper, we propose an encoder-decoder neural architecture (called Channelformer) to achieve improved channel estimation for orthogonal frequency-division multiplexing (OFDM) waveforms in downlink scenarios. The self-attention…

Signal Processing · Electrical Eng. & Systems 2023-02-10 Dianxin Luan , John Thompson

Neural ray tracing (RT) has emerged as a promising paradigm for channel modeling by combining physical propagation principles with neural networks. It enables high modeling accuracy and efficiency. However, current neural RT methods face…

Machine Learning · Computer Science 2025-06-24 Kejia Bian , Meixia Tao , Shu Sun , Jun Yu

The inverse problem of supervised reconstruction of depth-variable (time-dependent) parameters in a neural ordinary differential equation (NODE) is considered, that means finding the weights of a residual network with time continuous…

Machine Learning · Computer Science 2022-02-14 George Baravdish , Gabriel Eilertsen , Rym Jaroudi , B. Tomas Johansson , Lukáš Malý , Jonas Unger

Purpose: To develop a neural ordinary differential equation (ODE) model for visualizing deep neural network (DNN) behavior during multi-parametric MRI (mp-MRI) based glioma segmentation as a method to enhance deep learning explainability.…

Quantitative Methods · Quantitative Biology 2022-03-25 Zhenyu Yang , Zongsheng Hu , Hangjie Ji , Kyle Lafata , Scott Floyd , Fang-Fang Yin , Chunhao Wang