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High-resolution ghost image and ghost diffraction experiments are performed by using a single source of thermal-like speckle light divided by a beam splitter. Passing from the image to the diffraction result solely relies on changing the…

We consider the problem of parameter estimation in a high-dimensional generalized linear model. Spectral methods obtained via the principal eigenvector of a suitable data-dependent matrix provide a simple yet surprisingly effective…

Statistics Theory · Mathematics 2025-07-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

The distinction between point and line resolution in transmission electron microscopy (TEM) arises because an ability to image sub-0.2 nm fringes is a necessary, but not a sufficient, condition for imaging individual atoms. In scanned tip…

Instrumentation and Detectors · Physics 2007-05-23 P. Fraundorf , J. Tentschert

The current ghost imaging phase reconstruction schemes require either complex optical systems, Fourier transform steps, or iterative algorithms, which may increase the difficulty of system design, cause phase retrieval error or take too…

Optics · Physics 2023-02-09 Ziyan Chen , Heng Wu , Jing Cheng

Imaging with hard x-rays is an invaluable tool in medicine, biology, materials science, and cultural heritage. Propagation-based x-ray phase-contrast imaging and tomography have been mostly used to resolve micrometer-scale structures inside…

Image and Video Processing · Electrical Eng. & Systems 2025-06-02 Margie P. Olbinado , David M. Paganin , Yin Cheng , Alexander Rack

In quantum mechanics, entanglement and correlations are not just a mere sporadic curiosity, but rather common phenomena at the basis of an interacting quantum system. In electron microscopy, such concepts have not been extensively explored…

Computational ghost imaging relies on the decomposition of an image into patterns that are summed together with weights that measure the overlap of each pattern with the scene being imaged. These tasks rely on a computer. Here we…

Neurons and Cognition · Quantitative Biology 2019-03-27 Alessandro Boccolini , Alessandro Fedrizzi , Daniele Faccio

Phase retrieval refers to the problem of recovering real- or complex-valued vectors from magnitude measurements. The best-known algorithms for this problem are iterative in nature and rely on so-called spectral initializers that provide…

Information Theory · Computer Science 2018-06-12 Ramina Ghods , Andrew S. Lan , Tom Goldstein , Christoph Studer

To extract the maximum information about the object from a series of binary samples in ghost imaging applications, we propose and demonstrate a framework for optimizing the performance of ghost imaging with binary sampling to approach the…

Data Analysis, Statistics and Probability · Physics 2020-03-12 Dongyue Yang , Guohua Wu , Bin Luo , Longfei Yin

Statistical moments of the intensity distributions are used as molecular descriptors. They are used as a basis for defining similarity distances between two model spectra. Parameters which carry the information derived from the comparison…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Dorota Bielinska-Waz , Piotr Waz , Subhash C. Basak

Processes with almost periodic covariance functions have spectral mass on lines parallel to the diagonal in the two-dimensional spectral plane. Methods have been given for estimation of spectral mass on the lines of spectral concentration…

Statistics Theory · Mathematics 2008-06-30 Keh-Shin Lii , Murray Rosenblatt

Conventional imaging at low light level requires hundreds of detected photons per pixel to suppress the Poisson noise for accurate reflectivity inference. In this letter, we propose a high-efficiency photon-limited imaging technique, called…

Optics · Physics 2017-06-22 Xialin Liu , Jianhong Shi , Huichao Chen , Guihua Zeng

This paper establishes a nearly optimal algorithm for estimating the frequencies and amplitudes of a mixture of sinusoids from noisy equispaced samples. We derive our algorithm by viewing line spectral estimation as a sparse recovery…

Information Theory · Computer Science 2013-04-02 Gongguo Tang , Badri Narayan Bhaskar , Benjamin Recht

Classical ghost imaging is a new paradigm in imaging where the image of an object is not measured directly with a pixelated detector. Rather, the object is subject to a set of illumination patterns and the total interaction of the object,…

Image and Video Processing · Electrical Eng. & Systems 2023-08-02 Andrew M. Kingston , Lindon Roberts , Alaleh Aminzadeh , Daniele Pelliccia , Imants D. Svalbe , David M. Paganin

Singular values of a data in a matrix form provide insights on the structure of the data, the effective dimensionality, and the choice of hyper-parameters on higher-level data analysis tools. However, in many practical applications such as…

Machine Learning · Statistics 2017-03-21 Ashish Khetan , Sewoong Oh

Line-intensity mapping (LIM) traces the large-scale distribution of matter by measuring fluctuations in aggregate line emission from unresolved galaxies and the intergalactic medium, providing a powerful probe of both astrophysics and…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-03 Marina S. Cagliari , Zucheng Gao , Azadeh Moradinezhad Dizgah

We demonstrate experimentally ghost optical coherence tomography using a broadband incoherent supercontinuum light source with shot-to-shot random spectral fluctuations. The technique is based on ghost imaging in the spectral domain where…

Light detection and ranging (LiDAR) is widely used in autonomous systems and industrial metrology; however, the simultaneous acquisition of three-dimensional (3D) structure and broadband spectral information remains challenging, as…

Artificial intelligence has recently been widely used in computational imaging. The deep neural network (DNN) improves the signal-to-noise ratio of the retrieved images, whose quality is otherwise corrupted due to the low sampling ratio or…

Image and Video Processing · Electrical Eng. & Systems 2022-12-16 Wenhan Ren , Xiaoyu Nie , Tao Peng , Marlan O. Scully

Multi-index models provide a popular framework to investigate the learnability of functions with low-dimensional structure and, also due to their connections with neural networks, they have been object of recent intensive study. In this…

Machine Learning · Statistics 2025-06-11 Filip Kovačević , Yihan Zhang , Marco Mondelli