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The overdetermination of the mathematical problem underlying ptychography is reduced by a host of experimentally more desirable settings. Furthermore, reconstruction of the sample-induced phase shift is typically limited by uncertainty in…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Marcel Schloz , Thomas C. Pekin , Zhen Chen , Wouter Van den Broek , David A. Muller , Christoph T. Koch

Several methods have been recently proposed for estimating sparse Gaussian graphical models using $\ell_{1}$ regularization on the inverse covariance matrix. Despite recent advances, contemporary applications require methods that are even…

Computation · Statistics 2014-05-15 Onkar Dalal , Bala Rajaratnam

Graph analytics attract much attention from both research and industry communities. Due to the linear time complexity, the $k$-core decomposition is widely used in many real-world applications such as biology, social networks, community…

Databases · Computer Science 2022-01-19 Bin Guo , Emil Sekerinski

Robust high-dimensional data processing has witnessed an exciting development in recent years, as theoretical results have shown that it is possible using convex programming to optimize data fit to a low-rank component plus a sparse outlier…

Computer Vision and Pattern Recognition · Computer Science 2015-04-21 Jun He , Dejiao Zhang , Laura Balzano , Tao Tao

MRI data is acquired in Fourier space/k-space. Data acquisition is typically performed on a Cartesian grid in this space to enable the use of a fast Fourier transform algorithm to achieve fast and efficient reconstruction. However, it has…

Signal Processing · Electrical Eng. & Systems 2024-01-17 Daniel Abraham , Mark Nishimura , Xiaozhi Cao , Congyu Liao , Kawin Setsompop

Algorithms often carry out equally many computations for "easy" and "hard" problem instances. In particular, algorithms for finding nearest neighbors typically have the same running time regardless of the particular problem instance. In…

Data Structures and Algorithms · Computer Science 2020-03-25 Daniel LeJeune , Richard G. Baraniuk , Reinhard Heckel

We present streaming algorithms for the graph $k$-matching problem in both the insert-only and dynamic models. Our algorithms, with space complexity matching the best upper bounds, have optimal or near-optimal update time, significantly…

Data Structures and Algorithms · Computer Science 2023-10-18 Jianer Chen , Qin Huang , Iyad Kanj , Qian Li , Ge Xia

Unprecedented increase of complexity and scale of data is expected in computation necessary for the tracking detectors of the High Luminosity Large Hadron Collider (HL-LHC) experiments. While currently used Kalman filter based algorithms…

We consider the problem of classification of an object given multiple observations that possibly include different transformations. The possible transformations of the object generally span a low-dimensional manifold in the original signal…

Computer Vision and Pattern Recognition · Computer Science 2009-07-27 Effrosyni Kokiopoulou , Pascal Frossard

Reconstructing a complete object from its parts is a fundamental problem in many scientific domains. The purpose of this article is to provide a systematic survey on this topic. The reassembly problem requires understanding the attributes…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Jiaxin Lu , Yongqing Liang , Huijun Han , Jiacheng Hua , Junfeng Jiang , Xin Li , Qixing Huang

The convergence rate is analyzed for the SpaSRA algorithm (Sparse Reconstruction by Separable Approximation) for minimizing a sum $f (\m{x}) + \psi (\m{x})$ where $f$ is smooth and $\psi$ is convex, but possibly nonsmooth. It is shown that…

Optimization and Control · Mathematics 2009-12-10 William Hager , Dzung Phan , Hongchao Zhang

Applying an object detector, which is neither trained nor fine-tuned on data close to the final application, often leads to a substantial performance drop. In order to overcome this problem, it is necessary to consider a shift between…

Computer Vision and Pattern Recognition · Computer Science 2020-05-27 Alexey Abramov , Christopher Bayer , Claudio Heller

In order to manipulate a deformable object, such as rope or cloth, in unstructured environments, robots need a way to estimate its current shape. However, tracking the shape of a deformable object can be challenging because of the object's…

Robotics · Computer Science 2020-11-03 Yixuan Wang , Dale McConachie , Dmitry Berenson

k-nearest neighbor graph is a fundamental data structure in many disciplines such as information retrieval, data-mining, pattern recognition, and machine learning, etc. In the literature, considerable research has been focusing on how to…

Information Retrieval · Computer Science 2021-07-30 Wan-Lei Zhao , Hui Wang , Peng-Cheng Lin , Chong-Wah Ngo

In this work, we propose an algorithm for solving exact sparse linear regression problems over a network in a distributed manner. Particularly, we consider the problem where data is stored among different computers or agents that seek to…

Optimization and Control · Mathematics 2022-04-04 Tu Anh-Nguyen , César A. Uribe

We present a new approach to 3D object representation where a neural network encodes the geometry of an object directly into the weights and biases of a second 'mapping' network. This mapping network can be used to reconstruct an object by…

Machine Learning · Computer Science 2020-04-07 Eric Mitchell , Selim Engin , Volkan Isler , Daniel D Lee

The orthogonal matching pursuit (OMP) is one of the mainstream algorithms for sparse data reconstruction or approximation. It acts as a driving force for the development of several other greedy methods for sparse data reconstruction, and it…

Information Theory · Computer Science 2023-03-31 Yun-Bin Zhao , Zhi-Quan Luo

We present DRACO, a method for Dense Reconstruction And Canonicalization of Object shape from one or more RGB images. Canonical shape reconstruction, estimating 3D object shape in a coordinate space canonicalized for scale, rotation, and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Rahul Sajnani , AadilMehdi Sanchawala , Krishna Murthy Jatavallabhula , Srinath Sridhar , K. Madhava Krishna

We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

Computer Vision and Pattern Recognition · Computer Science 2013-09-19 Gilles Puy , Pierre Vandergheynst

In the $k$-cut problem, we are given an edge-weighted graph $G$ and an integer $k$, and have to remove a set of edges with minimum total weight so that $G$ has at least $k$ connected components. The current best algorithms are an…

Data Structures and Algorithms · Computer Science 2019-03-22 Anupam Gupta , Euiwoong Lee , Jason Li
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