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Operator regression provides a powerful means of constructing discretization-invariant emulators for partial-differential equations (PDEs) describing physical systems. Neural operators specifically employ deep neural networks to approximate…

机器学习 · 计算机科学 2023-04-18 Katiana Kontolati , Somdatta Goswami , George Em Karniadakis , Michael D. Shields

We present a neural operator framework for solving inverse scattering problems. A neural operator produces a preliminary indicator function for the scatterer, which, after appropriate rescaling, is used as a regularization parameter within…

数值分析 · 数学 2026-03-02 Victor Chenu , Houssem Haddar , Hadrien Montanelli

To reduce channel acquisition overhead, spatial, time, and frequency-domain channel extrapolation techniques have been widely studied. In this paper, we propose a novel deep learning-based Position-domain Channel Extrapolation framework…

信息论 · 计算机科学 2025-07-25 Jiajia Guo , Chao-Kai Wen , Xiao Li , Shi Jin

In this thesis, we develop various techniques for working with sets in machine learning. Each input or output is not an image or a sequence, but a set: an unordered collection of multiple objects, each object described by a feature vector.…

机器学习 · 计算机科学 2021-03-09 Yan Zhang

Neural operators have been applied in various scientific fields, such as solving parametric partial differential equations, dynamical systems with control, and inverse problems. However, challenges arise when dealing with input functions…

数值分析 · 数学 2023-10-31 Zecheng Zhang , Christian Moya , Lu Lu , Guang Lin , Hayden Schaeffer

This paper proposes a transfer learning approach to recalibrate our previously developed Wheel Odometry Neural Network (WhONet) for vehicle positioning in environments where Global Navigation Satellite Systems (GNSS) are unavailable. The…

机器人学 · 计算机科学 2022-09-14 Uche Onyekpe , Alicja Szkolnik , Vasile Palade , Stratis Kanarachos , Michael E. Fitzpatrick

The dot product self-attention (DPSA) is a fundamental component of transformers. However, scaling them to long sequences, like documents or high-resolution images, becomes prohibitively expensive due to quadratic time and memory…

计算机视觉与模式识别 · 计算机科学 2024-01-09 Pourya Shamsolmoali , Masoumeh Zareapoor , Eric Granger , Michael Felsberg

Deep convolutional neural networks (CNNs) have brought breakthroughs in processing clinical electrocardiograms (ECGs), speaker-independent speech and complex images. However, typical CNNs require a fixed input size while it is common to…

机器学习 · 计算机科学 2022-10-07 Linpeng Jin

We consider the problem of distributed estimation of an unknown deterministic scalar parameter (the target signal) in a wireless sensor network (WSN), where each sensor receives a single snapshot of the field. We assume that the observation…

信息论 · 计算机科学 2015-10-09 Qing Zhou , Di Li , Soummya Kar , Lauren Huie , H. Vincent Poor , Shuguang Cui

Lensless imaging stands out as a promising alternative to conventional lens-based systems, particularly in scenarios demanding ultracompact form factors and cost-effective architectures. However, such systems are fundamentally governed by…

图像与视频处理 · 电气工程与系统科学 2025-05-06 Jiesong Bai , Yuhao Yin , Yihang Dong , Xiaofeng Zhang , Chi-Man Pun , Xuhang Chen

Inverse source localization from Helmholtz boundary data collected over a narrow aperture is highly ill-posed and severely undersampled, undermining classical solvers (e.g., the Direct Sampling Method). We present a modular framework that…

数值分析 · 数学 2025-10-31 Guanyu Pan , Jianing Zhou , Xiaotong Liu , Yunqing Huang , Nianyu Yi

Despite the success in 6D pose estimation in bin-picking scenarios, existing methods still struggle to produce accurate prediction results for symmetry objects and real world scenarios. The primary bottlenecks include 1) the ambiguity…

计算机视觉与模式识别 · 计算机科学 2024-03-15 Ding-Tao Huang , En-Te Lin , Lipeng Chen , Li-Fu Liu , Long Zeng

We introduce Discontinuous Galerkin Finite Element Operator Network (DG--FEONet), a data-free operator learning framework that combines the strengths of the discontinuous Galerkin (DG) method with neural networks to solve parametric partial…

数值分析 · 数学 2026-01-08 Kapil Chawla , Youngjoon Hong , Jae Yong Lee , Sanghyun Lee

This paper is concerned with self-supervised learning for small models. The problem is motivated by our empirical studies that while the widely used contrastive self-supervised learning method has shown great progress on large model…

计算机视觉与模式识别 · 计算机科学 2021-04-19 Zhiyuan Fang , Jianfeng Wang , Lijuan Wang , Lei Zhang , Yezhou Yang , Zicheng Liu

Multi-scale features are essential for dense prediction tasks, such as object detection, instance segmentation, and semantic segmentation. The prevailing methods usually utilize a classification backbone to extract multi-scale features and…

计算机视觉与模式识别 · 计算机科学 2023-11-01 Gang Zhang , Ziyi Li , Chufeng Tang , Jianmin Li , Xiaolin Hu

Support estimation (SE) of a sparse signal refers to finding the location indices of the non-zero elements in a sparse representation. Most of the traditional approaches dealing with SE problem are iterative algorithms based on greedy…

信号处理 · 电气工程与系统科学 2026-05-06 Mehmet Yamac , Mete Ahishali , Serkan Kiranyaz , Moncef Gabbouj

Neural networks have shown significant potential in solving partial differential equations (PDEs). While deep networks are capable of approximating complex functions, direct one-shot training often faces limitations in both accuracy and…

数值分析 · 数学 2025-03-10 Mingxing Weng , Zhiping Mao , Jie Shen

This study aims to address the problem of incomplete information in unimodal images for semantic segmentation and object detection tasks. Existing multimodal fusion methods suffer from limited capability in discriminative modeling of…

计算机视觉与模式识别 · 计算机科学 2026-02-10 Yuchan Jie , Yushen Xu , Xiaosong Li , Huafeng Li , Haishu Tan , Feiping Nie

This paper proposes a learning-based framework for reconstructing 3D shapes from functional operators, compactly encoded as small-sized matrices. To this end we introduce a novel neural architecture, called OperatorNet, which takes as input…

图形学 · 计算机科学 2019-08-29 Ruqi Huang , Marie-Julie Rakotosaona , Panos Achlioptas , Leonidas Guibas , Maks Ovsjanikov

Training deep models for semantic scene completion (SSC) is challenging due to the sparse and incomplete input, a large quantity of objects of diverse scales as well as the inherent label noise for moving objects. To address the…

计算机视觉与模式识别 · 计算机科学 2023-03-14 Zhaoyang Xia , Youquan Liu , Xin Li , Xinge Zhu , Yuexin Ma , Yikang Li , Yuenan Hou , Yu Qiao