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Operator learning has emerged as a promising paradigm for approximating solution operators of partial differential equations (PDEs). However, conventional approaches typically rely on pointwise function discretizations, which often suffer…

Numerical Analysis · Mathematics 2026-02-03 Chuqi Chen , Yang Xiang , Weihong Zhang

Solving ill-posed inverse problems necessitates effective regularization strategies to stabilize the inversion process against measurement noise. While classical methods like Tikhonov regularization require heuristic parameter tuning, and…

Machine Learning · Statistics 2026-03-24 Hang-Cheng Dong , Pengcheng Cheng , Shuhuan Li

Deep neural networks have seen tremendous success for different modalities of data including images, videos, and speech. This success has led to their deployment in mobile and embedded systems for real-time applications. However, making…

Computer Vision and Pattern Recognition · Computer Science 2019-01-31 Nitthilan Kannappan Jayakodi , Anwesha Chatterjee , Wonje Choi , Janardhan Rao Doppa , Partha Pratim Pande

The fault diagnostic model trained for a laboratory case machine fails to perform well on the industrial machines running under variable operating conditions. For every new operating condition of such machines, a new diagnostic model has to…

Machine Learning · Statistics 2021-11-09 Arun K. Sharma , Nishchal K. Verma

Inverse problems challenge existing neural operator architectures because ill-posed inverse maps violate continuity, uniqueness, and stability assumptions. We introduce B2B${}^{-1}$, an inverse basis-to-basis neural operator framework that…

Machine Learning · Computer Science 2025-12-23 Adam J. Thorpe , Stepan Tretiakov , Dibakar Roy Sarkar , Krishna Kumar , Ufuk Topcu

Expandable networks have demonstrated their advantages in dealing with catastrophic forgetting problem in incremental learning. Considering that different tasks may need different structures, recent methods design dynamic structures adapted…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Guimei Cao , Zhanzhan Cheng , Yunlu Xu , Duo Li , Shiliang Pu , Yi Niu , Fei Wu

This paper presents a novel framework combining group equivariant convolutional neural networks (G-CNNs) with equivariant-aware structured pruning to produce compact, transformation-invariant models for resource-constrained environments.…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Mohammed Alnemari

This paper proposes ReBNet, an end-to-end framework for training reconfigurable binary neural networks on software and developing efficient accelerators for execution on FPGA. Binary neural networks offer an intriguing opportunity for…

Machine Learning · Computer Science 2018-03-29 Mohammad Ghasemzadeh , Mohammad Samragh , Farinaz Koushanfar

We introduce a model-based image reconstruction framework with a convolution neural network (CNN) based regularization prior. The proposed formulation provides a systematic approach for deriving deep architectures for inverse problems with…

Computer Vision and Pattern Recognition · Computer Science 2019-06-06 Hemant Kumar Aggarwal , Merry P. Mani , Mathews Jacob

Breast ultrasound (BUS) image segmentation plays a crucial role in a computer-aided diagnosis system, which is regarded as a useful tool to help increase the accuracy of breast cancer diagnosis. Recently, many deep learning methods have…

Image and Video Processing · Electrical Eng. & Systems 2020-03-24 Zhenyuan Ning , Ke Wang , Shengzhou Zhong , Qianjin Feng , Yu Zhang

In this paper, we propose a new deep image compression framework called Complexity and Bitrate Adaptive Network (CBANet), which aims to learn one single network to support variable bitrate coding under different computational complexity…

Image and Video Processing · Electrical Eng. & Systems 2021-05-27 Jinyang Guo , Dong Xu , Guo Lu

Automatically mapping and segmenting global mining footprints using remote sensing and deep learning is critical for monitoring the socio-environmental risks and impacts of mining, yet its progress is hindered by the scarcity of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Alif Tri Handoyo , Vincent C. S. Lee , Rizka Widyarini Purwanto , Alex M. Lechner , Deanna Kemp , Muhamad Risqi U. Saputra

We propose a novel data-lean operator learning algorithm, the Reduced Basis Neural Operator (ReBaNO), to solve a group of PDEs with multiple distinct inputs. Inspired by the Reduced Basis Method and the recently introduced Generative…

Machine Learning · Computer Science 2025-09-12 Haolan Zheng , Yanlai Chen , Jiequn Han , Yue Yu

Deep learning has achieved state-of-the-art accuracies on several computer vision tasks. However, the computational and energy requirements associated with training such deep neural networks can be quite high. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-04 Aosong Feng , Priyadarshini Panda

An emerging new paradigm for solving inverse problems is via the use of deep learning to learn a regularizer from data. This leads to high-quality results, but often at the cost of provable guarantees. In this work, we show how…

Machine Learning · Computer Science 2023-11-06 Zakhar Shumaylov , Jeremy Budd , Subhadip Mukherjee , Carola-Bibiane Schönlieb

Recovering a function or high-dimensional parameter vector from indirect measurements is a central task in various scientific areas. Several methods for solving such inverse problems are well developed and well understood. Recently, novel…

Numerical Analysis · Mathematics 2019-12-10 Housen Li , Johannes Schwab , Stephan Antholzer , Markus Haltmeier

Object recognition using single-point supervision has attracted increasing attention recently. However, the performance gap compared with fully-supervised algorithms remains large. Previous works generated class-agnostic…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Pengfei Chen , Xuehui Yu , Xumeng Han , Kuiran Wang , Guorong Li , Lingxi Xie , Zhenjun Han , Jianbin Jiao

Operator learning enables fast surrogate modeling of high-dimensional dynamical systems, but existing approaches face two fundamental limitations: quadratic inference complexity and unreliable uncertainty quantification in safety-critical…

Machine Learning · Computer Science 2026-05-04 Purav Matlia , Christian Moya , Guang Lin

We introduce a neural network architecture to solve inverse problems linked to a one-dimensional integral operator. This architecture is built by unfolding a forward-backward algorithm derived from the minimization of an objective function…

Optimization and Control · Mathematics 2021-06-01 Emilie Chouzenoux , Cecile Della Valle , Jean-Christophe Pesquet

This paper tackles the problem of training a deep convolutional neural network with both low-precision weights and low-bitwidth activations. Optimizing a low-precision network is very challenging since the training process can easily get…

Computer Vision and Pattern Recognition · Computer Science 2021-06-05 Bohan Zhuang , Chunhua Shen , Mingkui Tan , Lingqiao Liu , Ian Reid
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