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Calcium imaging is an important technique for monitoring the activity of thousands of neurons simultaneously. As calcium imaging datasets grow in size, automated detection of individual neurons is becoming important. Here we apply a…

神经元与认知 · 定量生物学 2016-12-23 Noah J. Apthorpe , Alexander J. Riordan , Rob E. Aguilar , Jan Homann , Yi Gu , David W. Tank , H. Sebastian Seung

In the past few years, new technologies in the field of neuroscience have made it possible to simultaneously image activity in large populations of neurons at cellular resolution in behaving animals. In mid-2016, a huge repository of this…

应用统计 · 统计学 2017-03-22 Ashley Petersen , Noah Simon , Daniela Witten

Robust principal component analysis (RPCA) decomposes an observation matrix into low-rank background and sparse object components. This capability has enabled its application in tasks ranging from image restoration to segmentation. However,…

计算机视觉与模式识别 · 计算机科学 2025-08-07 Fengyi Wu , Yimian Dai , Tianfang Zhang , Yixuan Ding , Jian Yang , Ming-Ming Cheng , Zhenming Peng

Deep unfolded neural networks are designed by unrolling the iterations of optimization algorithms. They can be shown to achieve faster convergence and higher accuracy than their optimization counterparts. This paper proposes a new…

机器学习 · 计算机科学 2020-10-05 Huynh Van Luong , Boris Joukovsky , Yonina C. Eldar , Nikos Deligiannis

Robust principal component analysis (RPCA) seeks a low-rank component and a sparse component from their summation. Yet, in many applications of interest, the sparse foreground actually replaces, or occludes, elements from the low-rank…

计算机视觉与模式识别 · 计算机科学 2026-04-23 Yinjian Wang , Wei Li , Yuanyuan Gui , James E. Fowler , Gemine Vivone

The segmentation of animals from camera-trap images is a difficult task. To illustrate, there are various challenges due to environmental conditions and hardware limitation in these images. We proposed a multi-layer robust principal…

计算机视觉与模式识别 · 计算机科学 2018-01-03 Jhony-Heriberto Giraldo-Zuluaga , Alexander Gomez , Augusto Salazar , Angélica Diaz-Pulido

Robust principal component analysis (RPCA) is a widely used tool for dimension reduction. In this work, we propose a novel non-convex algorithm, coined Iterated Robust CUR (IRCUR), for solving RPCA problems, which dramatically improves the…

机器学习 · 统计学 2021-02-09 HanQin Cai , Keaton Hamm , Longxiu Huang , Jiaqi Li , Tao Wang

The problem of recovering a low-rank matrix from a set of observations corrupted with gross sparse error is known as the robust principal component analysis (RPCA) and has many applications in computer vision, image processing and web data…

最优化与控制 · 数学 2013-09-27 Necdet Serhat Aybat , Donald Goldfarb , Shiqian Ma

Principal component analysis (PCA) plays an important role in the analysis of cryo-EM images for various tasks such as classification, denoising, compression, and ab-initio modeling. We introduce a fast method for estimating a compressed…

数值分析 · 数学 2022-11-01 Nicholas F. Marshall , Oscar Mickelin , Yunpeng Shi , Amit Singer

Calcium imaging permits optical measurement of neural activity. Since intracellular calcium concentration is an indirect measurement of neural activity, computational tools are necessary to infer the true underlying spiking activity from…

机器学习 · 统计学 2017-11-07 Artur Speiser , Jinyao Yan , Evan Archer , Lars Buesing , Srinivas C. Turaga , Jakob H. Macke

Particle Image Velocimetry (PIV) data processing procedures are adversely affected by light reflections and backgrounds as well as defects in the models and sticky particles that occlude the inner walls of the boundaries. In this paper, a…

计算机视觉与模式识别 · 计算机科学 2019-08-19 Ahmadreza Baghaie

Principal Component Analysis (PCA) is the most widely used tool for linear dimensionality reduction and clustering. Still it is highly sensitive to outliers and does not scale well with respect to the number of data samples. Robust PCA…

计算机视觉与模式识别 · 计算机科学 2015-04-24 Nauman Shahid , Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

Calcium imaging has emerged as a workhorse method in neuroscience to investigate patterns of neuronal activity. Instrumentation to acquire calcium imaging movies has rapidly progressed and has become standard across labs. Still, algorithms…

定量方法 · 定量生物学 2019-06-03 Quico Spaen , Dorit S. Hochbaum , Roberto Asín-Achá

Principal component analysis (PCA) is known to be sensitive to outliers, so that various robust PCA variants were proposed in the literature. A recent model, called REAPER, aims to find the principal components by solving a convex…

数值分析 · 数学 2021-03-19 Robert Beinert , Gabriele Steidl

Cryo-electron microscopy nowadays often requires the analysis of hundreds of thousands of 2D images as large as a few hundred pixels in each direction. Here we introduce an algorithm that efficiently and accurately performs principal…

计算机视觉与模式识别 · 计算机科学 2015-12-16 Zhizhen Zhao , Yoel Shkolnisky , Amit Singer

Calcium imaging for observing spiking activity from large populations of neurons are quickly gaining popularity. While the raw data are fluorescence movies, the underlying spike trains are of interest. This work presents a fast non-negative…

Fluorescent calcium indicators are a popular means for observing the spiking activity of large neuronal populations, but extracting the activity of each neuron from raw fluorescence calcium imaging data is a nontrivial problem. We present a…

神经元与认知 · 定量生物学 2017-03-17 Johannes Friedrich , Pengcheng Zhou , Liam Paninski

Calcium imaging is a technique for observing neuron activity as a series of images showing indicator fluorescence over time. Manually segmenting neurons is time-consuming, leading to research on automated calcium imaging segmentation…

计算机视觉与模式识别 · 计算机科学 2017-07-21 Aleksander Klibisz , Derek Rose , Matthew Eicholtz , Jay Blundon , Stanislav Zakharenko

Robust Principal Component Analysis (PCA) has received massive attention in recent years. It aims to recover a low-rank matrix and a sparse matrix from their sum. This paper proposes a novel nonconvex Robust PCA algorithm, coined Riemannian…

机器学习 · 统计学 2023-02-28 Keaton Hamm , Mohamed Meskini , HanQin Cai

Principal component analysis (PCA) is largely adopted for chemical process monitoring and numerous PCA-based systems have been developed to solve various fault detection and diagnosis problems. Since PCA-based methods assume that the…

机器学习 · 计算机科学 2017-12-13 Haitao Zhao
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