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Iterative phase retrieval methods based on the Gerchberg-Saxton (GS) or Fienup algorithm require a large number of iterations to converge to a meaningful solution. For complex-valued or phase objects, these approaches also suffer from…

Image and Video Processing · Electrical Eng. & Systems 2019-02-20 Mansi Butola , Sunaina , Kedar Khare

Fourier ptychography is a recently developed imaging approach for large field-of-view and high-resolution microscopy. Here we model the Fourier ptychographic forward imaging process using a convolution neural network (CNN) and recover the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-12 Shaowei Jiang , Kaikai Guo , Jun Liao , Guoan Zheng

We propose FlexQP, an always-feasible convex quadratic programming (QP) solver based on an $\ell_1$ elastic relaxation of the QP constraints. If the original constraints are feasible, FlexQP provably recovers the optimal solution. If the…

Optimization and Control · Mathematics 2026-03-06 Alex Oshin , Rahul Vodeb Ghosh , Augustinos D. Saravanos , Evangelos A. Theodorou

Pre-trained representation is one of the key elements in the success of modern deep learning. However, existing works on continual learning methods have mostly focused on learning models incrementally from scratch. In this paper, we explore…

Machine Learning · Computer Science 2022-08-18 Hyounguk Shon , Janghyeon Lee , Seung Hwan Kim , Junmo Kim

Compared with traditional seismic noise attenuation algorithms that depend on signal models and their corresponding prior assumptions, removing noise with a deep neural network is trained based on a large training set, where the inputs are…

Geophysics · Physics 2019-07-23 Siwei Yu , Jianwei Ma , Wenlong Wang

A major challenge in computed tomography is reconstructing objects from incomplete data. An increasingly popular solution for these problems is to incorporate deep learning models into reconstruction algorithms. This study introduces a…

Numerical Analysis · Mathematics 2024-02-20 Knut Salomonsson , Eric Oldgren , Emanuel Ström , Ozan Öktem

Accurate short-term predictions of phase-resolved water wave conditions are crucial for decision-making in ocean engineering. However, the initialization of remote-sensing-based wave prediction models first requires a reconstruction of wave…

Atmospheric and Oceanic Physics · Physics 2024-01-11 Svenja Ehlers , Marco Klein , Alexander Heinlein , Mathies Wedler , Nicolas Desmars , Norbert Hoffmann , Merten Stender

Recurrent neural networks are powerful tools for handling incomplete data problems in computer vision, thanks to their significant generative capabilities. However, the computational demand for these algorithms is too high to work in real…

Computer Vision and Pattern Recognition · Computer Science 2015-05-07 Ozgur Yilmaz

We present a novel method to provide efficient and highly detailed reconstructions. Inspired by wavelets, we learn a neural field that decompose the signal both spatially and frequency-wise. We follow the recent grid-based paradigm for…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Zhijie Wu , Yuhe Jin , Kwang Moo Yi

Traditional algorithms for compressive sensing recovery are computationally expensive and are ineffective at low measurement rates. In this work, we propose a data driven non-iterative algorithm to overcome the shortcomings of earlier…

Computer Vision and Pattern Recognition · Computer Science 2017-08-18 Suhas Lohit , Kuldeep Kulkarni , Ronan Kerviche , Pavan Turaga , Amit Ashok

Recent works on 3D reconstruction from posed images have demonstrated that direct inference of scene-level 3D geometry without test-time optimization is feasible using deep neural networks, showing remarkable promise and high efficiency.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Noah Stier , Anurag Ranjan , Alex Colburn , Yajie Yan , Liang Yang , Fangchang Ma , Baptiste Angles

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

Lensless imaging has emerged as a potential solution towards realizing ultra-miniature cameras by eschewing the bulky lens in a traditional camera. Without a focusing lens, the lensless cameras rely on computational algorithms to recover…

Image and Video Processing · Electrical Eng. & Systems 2020-10-30 Salman S. Khan , Varun Sundar , Vivek Boominathan , Ashok Veeraraghavan , Kaushik Mitra

Fringe projection profilometry (FPP) has become increasingly important in dynamic 3-D shape measurement. In FPP, it is necessary to retrieve the phase of the measured object before shape profiling. However, traditional phase retrieval…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Haotian Yu , Xiaoyu Chen , Zhao Zhang , Yi Zhang , Dongliang Zheng , Jing Han

Deep-predictive-coding networks (DPCNs) are hierarchical, generative models. They rely on feed-forward and feed-back connections to modulate latent feature representations of stimuli in a dynamic and context-sensitive manner. A crucial…

Artificial Intelligence · Computer Science 2021-09-27 Isaac J. Sledge , Jose C. Principe

We consider the recovery of a (real- or complex-valued) signal from magnitude-only measurements, known as phase retrieval. We formulate phase retrieval as a convex optimization problem, which we call PhaseMax. Unlike other convex methods…

Information Theory · Computer Science 2018-01-31 Tom Goldstein , Christoph Studer

The backpropagation algorithm, or backprop, is a widely utilized optimization technique in deep learning. While there's growing evidence suggesting that models trained with backprop can accurately explain neuronal data, no backprop-like…

Machine Learning · Computer Science 2024-05-28 Gananath R

Convolutional neural networks (CNNs) have gained tremendous success in solving complex inverse problems. The aim of this work is to develop a novel CNN framework to reconstruct video sequence of dynamic live cells captured using a…

Computer Vision and Pattern Recognition · Computer Science 2020-10-29 Thanh Nguyen , Yujia Xue , Yunzhe Li , Lei Tian , George Nehmetallah

Reconstructing a signal from squared linear (rank-one quadratic) measurements is a challenging problem with important applications in optics and imaging, where it is known as phase retrieval. This paper proposes two new phase retrieval…

Information Theory · Computer Science 2016-09-21 Cheng Qian , Nicholas D. Sidiropoulos , Kejun Huang , Lei Huang , H. C. So

In this paper, we propose a fully convolutional networks for iterative non-blind deconvolution We decompose the non-blind deconvolution problem into image denoising and image deconvolution. We train a FCNN to remove noises in the gradient…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Jiawei Zhang , Jinshan Pan , Wei-Sheng Lai , Rynson Lau , Ming-Hsuan Yang