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Discrete probability laws underpin statistical modeling, yet the catalog of interpretable distributions has expanded only gradually through centuries of case-by-case mathematical derivations. We introduce symbolic density estimation (SDE),…

Machine Learning · Computer Science 2026-05-25 Ziwen Liu , Meng Li

Stochastic differential equations (SDEs) are a ubiquitous modeling framework that finds applications in physics, biology, engineering, social science, and finance. Due to the availability of large-scale data sets, there is growing interest…

Machine Learning · Statistics 2025-03-04 Ziheng Guo , James Greene , Ming Zhong

This paper presents an anomaly detection model that combines the strong statistical foundation of density-estimation-based anomaly detection methods with the representation-learning ability of deep-learning models. The method combines an…

Machine Learning · Computer Science 2022-11-17 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio A. González

Self-supervised learning (SSL) methods such as masked language modeling have shown massive performance gains by pretraining transformer models for a variety of natural language processing tasks. The follow-up research adapted similar…

Computer Vision and Pattern Recognition · Computer Science 2022-05-12 Gokul Karthik Kumar , Sahal Shaji Mullappilly , Abhishek Singh Gehlot

Narrowband and broadband indoor radar images significantly deteriorate in the presence of target dependent and independent static and dynamic clutter arising from walls. A stacked and sparse denoising autoencoder (StackedSDAE) is proposed…

Signal Processing · Electrical Eng. & Systems 2022-01-21 Shobha Sundar Ram , Shelly Vishwakarma , Akanksha Sneh , Kainat Yasmeen

In optical coherence tomography (OCT) volumes of retina, the sequential acquisition of the individual slices makes this modality prone to motion artifacts, misalignments between adjacent slices being the most noticeable. Any distortion in…

Machine Learning · Computer Science 2020-07-06 Yasmeen M. George , Suman Sedai , Bhavna J. Antony , Hiroshi Ishikawa , Gadi Wollstein , Joel S. Schuman , Rahil Garnavi

Pulmonary nodule detection plays an important role in lung cancer screening with low-dose computed tomography (CT) scans. It remains challenging to build nodule detection deep learning models with good generalization performance due to…

Computer Vision and Pattern Recognition · Computer Science 2020-02-10 Yuemeng Li , Yong Fan

In this paper, we propose a spatiotemporal deep learning network for photon-level Block Compressed Sensing Imaging, aimed to address challenges such as signal loss, artifacts, and noise interference in large-pixel dynamic imaging and…

Optics · Physics 2025-03-14 Changzhi Yu , Shuangping Han , Kai Song , Liantuan Xiao

Recent work in deep learning focuses on solving physical systems in the Ordinary Differential Equation or Partial Differential Equation. This current work proposed a variant of Convolutional Neural Networks (CNNs) that can learn the hidden…

Machine Learning · Computer Science 2021-11-02 Mansura Habiba , Barak A. Pearlmutter

Scientists at the Berkeley SETI Research Center are Searching for Extraterrestrial Intelligence (SETI) by a new signal detection method that converts radio signals into spectrograms through Fourier transforms and classifies signals…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Zhewei Chen , Sami Ahmed Haider

We present a novel kernel-based method for learning multivariate stochastic differential equations (SDEs). The method follows a two-step procedure: we first estimate the drift term function, then the (matrix-valued) diffusion function given…

Machine Learning · Statistics 2025-12-22 Michael L. Wells , Kamel Lahouel , Bruno Jedynak

Optical Coherence Tomography (OCT) is an emerging technique in the field of biomedical imaging, with applications in ophthalmology, dermatology, coronary imaging etc. Due to the underlying physics, OCT images usually suffer from a granular…

Computer Vision and Pattern Recognition · Computer Science 2015-02-10 Ahmadreza Baghaie , Roshan M. D'souza , Zeyun Yu

The scattering of coherent X-rays from dynamically evolving systems is currently becoming experimentally feasible. The scattered beam produces a pattern of bright and dark speckles, which fluctuate almost independently in time and can be…

Condensed Matter · Physics 2015-06-25 Gregory Brown , Per Arne Rikvold , Martin Grant

Scattered coincidences introduce quantitative bias in positron emission tomography (PET) and must be compensated during reconstruction. Conventional scatter estimates typically rely on simplified cylindrical scanner models that omit…

Objective: The advent of Electronic Medical Records (EMR) with large electronic imaging databases along with advances in deep neural networks with machine learning has provided a unique opportunity to achieve milestones in automated image…

Machine Learning · Statistics 2016-12-16 Cecilia S. Lee , Doug M. Baughman , Aaron Y. Lee

Spatial Frequency Domain Imaging can map tissue scattering and absorption properties over a wide field of view, making it useful for clinical applications such as wound assessment and surgical guidance. This technique has previously…

Biological Physics · Physics 2021-02-24 Mason T. Chen , Melina Papadakis , Nicholas J. Durr

We present a new methodology for detecting out-of-distribution (OOD) images by utilizing norms of the score estimates at multiple noise scales. A score is defined to be the gradient of the log density with respect to the input data. Our…

Machine Learning · Computer Science 2021-03-24 Ahsan Mahmood , Junier Oliva , Martin Styner

Machine learning models are increasingly used to predict material properties and accelerate atomistic simulations, but the reliability of their predictions depends on the representativeness of the training data. We present a scalable,…

Chemical Physics · Physics 2025-10-20 Daniel Willimetz , Lukáš Grajciar

Structured illumination (SI) enhances image resolution and contrast by projecting patterned light onto a sample. In two-phase optical-sectioning SI (OS-SI), reduced acquisition time introduces residual artifacts that conventional denoising…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Allison Davis , Yezhi Shen , Xiaoyu Ji , Fengqing Zhu

Image denoising based on a probabilistic model of local image patches has been employed by various researchers, and recently a deep (denoising) autoencoder has been proposed by Burger et al. [2012] and Xie et al. [2012] as a good model for…

Machine Learning · Statistics 2013-03-05 Kyunghyun Cho
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