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This work analyzes the solution trajectory of gradient-based algorithms via a novel basis function decomposition. We show that, although solution trajectories of gradient-based algorithms may vary depending on the learning task, they behave…

Machine Learning · Computer Science 2022-10-05 Jianhao Ma , Lingjun Guo , Salar Fattahi

Most digital cameras use sensors coated with a Color Filter Array (CFA) to capture channel components at every pixel location, resulting in a mosaic image that does not contain pixel values in all channels. Current research on…

Computer Vision and Pattern Recognition · Computer Science 2019-05-24 Ramchalam Kinattinkara Ramakrishnan , Shangling Jui , Vahid Patrovi Nia

Attaining reliable profile gradients is of utmost relevance for many physical systems. In most situations, the estimation of gradient can be inaccurate due to noise. It is common practice to first estimate the underlying system and then…

Data Analysis, Statistics and Probability · Physics 2021-05-31 Kushani De Silva , Carlo Cafaro , Adom Giffin

Saliency methods can make deep neural network predictions more interpretable by identifying a set of critical features in an input sample, such as pixels that contribute most strongly to a prediction made by an image classifier.…

Machine Learning · Computer Science 2021-06-15 Yang Lu , Wenbo Guo , Xinyu Xing , William Stafford Noble

Recovering an image from a noisy observation is a key problem in signal processing. Recently, it has been shown that data-driven approaches employing convolutional neural networks can outperform classical model-based techniques, because…

Image and Video Processing · Electrical Eng. & Systems 2019-05-30 Diego Valsesia , Giulia Fracastoro , Enrico Magli

This paper addresses the problem of image denoising for grayscale images. We propose a probabilistic image generative model that combines a quadtree region-partitioning model with a mixture autoregressive model, and propose a framework that…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Shota Saito , Yuta Nakahara , Kohei Horinouchi , Naoki Ichijo , Manabu Kobayashi , Toshiyasu Matsushima

Sampling a target probability distribution with an unknown normalization constant is a fundamental challenge in computational science and engineering. Recent work shows that algorithms derived by considering gradient flows in the space of…

Machine Learning · Statistics 2024-03-12 Yifan Chen , Daniel Zhengyu Huang , Jiaoyang Huang , Sebastian Reich , Andrew M Stuart

The network flow optimization approach is offered for Bayesian segmentation of gray-scale and color images. It is supposed image pixels are characterized by a feature function taking finite number of arbitrary rational values (it can be…

Statistics Theory · Mathematics 2016-09-07 B. A. Zalesky

This paper presents a comprehensive study of applying the convolutional neural network (CNN) to solving the demosaicing problem. The paper presents two CNN models that learn end-to-end mappings between the mosaic samples and the original…

Computer Vision and Pattern Recognition · Computer Science 2018-02-13 Nai-Sheng Syu , Yu-Sheng Chen , Yung-Yu Chuang

Interpreting motion captured in image sequences is crucial for a wide range of computer vision applications. Typical estimation approaches include optical flow (OF), which approximates the apparent motion instantaneously in a scene, and…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Tanner D. Harms , Steven L. Brunton , Beverley J. McKeon

Grayscale images are fundamental to many image processing applications like data compression, feature extraction, printing and tone mapping. However, some image information is lost when converting from color to grayscale. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2021-09-01 Prasoon Ambalathankandy , Yafei Ou , Masayuki Ikebe

Diffusion models (DMs) are generative models that learn to synthesize images from Gaussian noise. DMs can be trained to do a variety of tasks such as image generation and image super-resolution. Researchers have made significant…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Yung Jer Wong , Teck Khim Ng

We consider blind ptychography, an imaging technique which aims to reconstruct an object of interest from a set of its diffraction patterns, each obtained by a local illumination. As the distribution of the light within the illuminated…

Numerical Analysis · Mathematics 2023-06-16 Oleh Melnyk

Initializing optical flow field by either sparse descriptor matching or dense patch matches has been proved to be particularly useful for capturing large displacements. In this paper, we present a pyramidal gradient matching approach that…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Yuanwei Li

This paper proposes a novel point-cloud-based place recognition system that adopts a deep learning approach for feature extraction. By using a convolutional neural network pre-trained on color images to extract features from a range image…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Ting Sun , Ming Liu , Haoyang Ye , Dit-Yan Yeung

Identifying defect patterns in a wafer map during manufacturing is crucial to find the root cause of the underlying issue and provides valuable insights on improving yield in the foundry. Currently used methods use deep neural networks to…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Nitish Shukla

This paper proposes a new framework to regularize the highly ill-posed and non-linear phase retrieval problem through deep generative priors using simple gradient descent algorithm. We experimentally show effectiveness of proposed algorithm…

Machine Learning · Computer Science 2018-08-20 Fahad Shamshad , Ali Ahmed

Much recent attention has been devoted to gradient descent algorithms where the steepest descent step size is replaced by a similar one from a previous iteration or gets updated only once every second step, thus forming a {\em faster…

Computer Vision and Pattern Recognition · Computer Science 2013-08-13 Hui Huang , Uri Ascher

Derivatives of computer graphics, image processing, and deep learning algorithms have tremendous use in guiding parameter space searches, or solving inverse problems. As the algorithms become more sophisticated, we no longer only need to…

Graphics · Computer Science 2019-08-30 Tzu-Mao Li

Being able to effectively identify clouds and monitor their evolution is one important step toward more accurate quantitative precipitation estimation and forecast. In this study, a new gradient-based cloud-image segmentation technique is…

Computer Vision and Pattern Recognition · Computer Science 2018-10-01 Negin Hayatbini , Kuo-lin Hsu , Soroosh Sorooshian , Yunji Zhang , Fuqing Zhang