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In this paper, we propose Neural Spectrum Decomposition, a generic decomposition framework for dataset distillation. Unlike previous methods, we consider the entire dataset as a high-dimensional observation that is low-rank across all…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Shaolei Yang , Shen Cheng , Mingbo Hong , Haoqiang Fan , Xing Wei , Shuaicheng Liu

Starting from the random phase approximation for the weakly coupled multiband tightly-bounded electron systems, we calculate the dielectric matrix in terms of intraband and interband transitions. The advantages of this representation with…

Condensed Matter · Physics 2016-08-31 P. Zupanovic , A. Bjelis , S. Barisic

Empirical Mode Decomposition is an adaptive and local tool that extracts underlying analytical components of a non-linear and non-stationary process, in turn, is the basis of Hilbert Huang transform, however, there are problems such as…

Signal Processing · Electrical Eng. & Systems 2019-08-30 Roberto Hernández Santander , Esperanza Camargo Casallas

In recent years, multi-view multi-label learning has aroused extensive research enthusiasm. However, multi-view multi-label data in the real world is commonly incomplete due to the uncertain factors of data collection and manual annotation,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Chengliang Liu , Jie Wen , Xiaoling Luo , Chao Huang , Zhihao Wu , Yong Xu

Tunable metasurfaces provide a compact and efficient strategy for optical components that require active wavefront shaping. Varifocal metalens is one of the most important applications. However, the existing tunable metalens rarely serves…

Detecting changes in data streams is a vital task in many applications. There is increasing interest in changepoint detection in the online setting, to enable real-time monitoring and support prompt responses and informed decision-making.…

Methodology · Statistics 2024-05-27 Victor K. Khamesi , Niall M. Adams , Dean A. Bodenham , Edward A. K. Cohen

We demonstrate that spectrally diverse multiple magnetic dipole resonances can be excited in all-dielectric structures lacking rotational symmetry, in contrast to conventionally used spheres, disks or spheroids. Such multiple magnetic…

Electromagnetic multipole expansion theory underpins nanoscale light-matter interactions, particularly within subwavelength meta-atoms, paving the way for diverse and captivating optical phenomena. While conventionally brute force…

Accurate medical image segmentation is fundamental to precision medicine, yet robust delineation remains challenging under heterogeneous appearances, ambiguous boundaries, and large anatomical variability. Similar intensity and texture…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Zhiquan Chen , Haitao Wang , Guowei Zou , Hejun Wu

Due to the high complexity and technical requirements of industrial production processes, surface defects will inevitably appear, which seriously affects the quality of products. Although existing lightweight detection networks are highly…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Xuyi Yu

2D materials offer an ideal platform to study the strain fields induced by individual atomic defects, yet challenges associated with radiation damage have so-far limited electron microscopy methods to probe these atomic-scale strain fields.…

We introduce a discretization scheme for continuous localized frames using quasi-Monte Carlo integration and discrepancy theory. By generalizing classical concepts, we define a discrepancy measure on the entire phase space $\mathbb{R}^2$…

Functional Analysis · Mathematics 2025-07-02 Jan Zimmermann , Andreas Klotz , Nicki Holighaus

Dark-field x-ray microscopy utilizes Bragg diffraction to collect full-field x-ray images of "mesoscale" structure of ordered materials. Information regarding the structural heterogeneities and their physical implications is gleaned through…

Materials Science · Physics 2022-10-31 Omar Abulshohoud , Ishwor Poudyal , Jessica McChesney , Zhan Zhang , Zhi Qiao , Ulrich Welp , Zahir Islam

A large intelligent surface (LIS) is a promising approach to enhancing 6G performance in sub-10 GHz frequency bands. An analysis of the horizontal dipole linear array reveals that when the array size is sufficiently large, employing the…

Signal Processing · Electrical Eng. & Systems 2025-04-29 Jiawang Li

We identify localizable entanglement (LE) as an order parameter for measurement-induced phase transitions (MIPT). LE exhibits universal finite-size scaling with critical exponents that match previous MIPT results and gives a nice…

Quantum Physics · Physics 2026-02-11 Sourav Manna , Arul Lakshminarayan , Vaibhav Madhok

The molecular dipole moment ($\boldsymbol{\mu}$) is a central quantity in chemistry. It is essential in predicting infrared and sum-frequency generation spectra, as well as induction and long-range electrostatic interactions. Furthermore,…

Chemical Physics · Physics 2020-10-14 Max Veit , David M. Wilkins , Yang Yang , Robert A. DiStasio , Michele Ceriotti

Disentangling anatomical and contrast information from medical images has gained attention recently, demonstrating benefits for various image analysis tasks. Current methods learn disentangled representations using either paired multi-modal…

Image and Video Processing · Electrical Eng. & Systems 2022-05-11 Lianrui Zuo , Yihao Liu , Yuan Xue , Shuo Han , Murat Bilgel , Susan M. Resnick , Jerry L. Prince , Aaron Carass

Heterogeneous multi-typed, multimodal relational data is increasingly available in many domains and their exploratory analysis poses several challenges. We advance the state-of-the-art in neural unsupervised learning to analyze such data.…

Machine Learning · Statistics 2021-09-28 Ragunathan Mariappan , Vaibhav Rajan

The decomposition of an image into a linear combination of digitised basis functions is an everyday task in astronomy. A general method is presented for performing such a decomposition optimally into an arbitrary set of digitised basis…

Astrophysics · Physics 2009-11-10 R. H. Berry , M. P. Hobson , S. Withington

What does a neural network learn when training from a task-specific dataset? Synthesizing this knowledge is the central idea behind Dataset Distillation, which recent work has shown can be used to compress large datasets into a small set of…

Machine Learning · Computer Science 2024-03-05 Tian Qin , Zhiwei Deng , David Alvarez-Melis
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