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The affine Gaussian derivative model can in several respects be regarded as a canonical model for receptive fields over a spatial image domain: (i) it can be derived by necessity from scale-space axioms that reflect structural properties of…

Computer Vision and Pattern Recognition · Computer Science 2017-12-21 Tony Lindeberg

We present a consistent method to calculate the probability distribution of soliton parameters in systems with additive noise. Even though a weak noise is considered, we are interested in probabilities of large fluctuations (generally…

Chaotic Dynamics · Physics 2009-10-31 G. Falkovich , I. Kolokolov , V. Lebedev , S. Turitsyn

Existing parameter-efficient fine-tuning (PEFT) methods have achieved significant success on vision transformers (ViTs) adaptation by improving parameter efficiency. However, the exploration of enhancing inference efficiency during…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Wangbo Zhao , Jiasheng Tang , Yizeng Han , Yibing Song , Kai Wang , Gao Huang , Fan Wang , Yang You

This paper proposes a data-adaptive factor model (DAFM), a novel framework for extracting common factors that explain the structures of high-dimensional data. DAFM adopts a composite quantile strategy to adaptively capture the full…

Methodology · Statistics 2025-10-02 Seeun Park , Hee-Seok Oh

We consider a shape optimization based method for finding the best interpolation data in the compression of images with noise. The aim is to reconstruct missing regions by means of minimizing a data fitting term in an $L^p$-norm between…

Analysis of PDEs · Mathematics 2024-10-11 Zakaria Belhachmi , Thomas Jacumin

Transformer-based approaches have revolutionized image super-resolution by modeling long-range dependencies. However, the quadratic computational complexity of vanilla self-attention mechanisms poses significant challenges, often leading to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Dinh Phu Tran , Thao Do , Saad Wazir , Seongah Kim , Seon Kwon Kim , Daeyoung Kim

We introduce a machine-learning-based approach to enhance the sensitivity of optical-extreme ultraviolet (XUV) transient absorption spectroscopy. A reference spectrum is used as input to a three-layer feed-forward neural network, allowing…

Optics · Physics 2023-05-04 Tobias Heinrich , Hung-Tzu Chang , Sergey Zayko , Murat Sivis , Claus Ropers

The Diffusion Transformers Models (DiTs) have transitioned the network architecture from traditional UNets to transformers, demonstrating exceptional capabilities in image generation. Although DiTs have been widely applied to…

Computer Vision and Pattern Recognition · Computer Science 2024-09-02 Juncan Deng , Shuaiting Li , Zeyu Wang , Hong Gu , Kedong Xu , Kejie Huang

We solve a fundamental challenge in semiconductor IC design: the fast and accurate characterization of nanoscale photonic devices. Much like the fusion between AI and EDA, many efforts have been made to apply DNNs such as convolutional…

Machine Learning · Computer Science 2022-12-01 Xinyu Chen , Renjie Li , Yueyao Yu , Yuanwen Shen , Wenye Li , Zhaoyu Zhang , Yin Zhang

We recently presented a new "artificial intelligence" method for the analysis of high-resolution absorption spectra (Bainbridge and Webb, Mon. Not. R. Astron. Soc. 2017, 468,1639-1670). This new method unifies three established numerical…

Instrumentation and Methods for Astrophysics · Physics 2017-05-01 Matthew B. Bainbridge , John K. Webb

We present a computational approach which is tailored for reducing the complexity of the description of extended systems at the density functional theory level. We define a recipe for generating a set of localized basis functions which are…

Materials Science · Physics 2019-04-16 Laura E. Ratcliff , Luigi Genovese

A prevalent approach in Parameter-Efficient Fine-Tuning (PEFT) of pre-trained Vision Transformers (ViT) involves freezing the majority of the backbone parameters and solely learning low-rank adaptation weight matrices to accommodate…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Yiting Yang , Hao Luo , Yuan Sun , Qingsen Yan , Haokui Zhang , Wei Dong , Guoqing Wang , Peng Wang , Yang Yang , Hengtao Shen

The Voigt profile is the density obtained from the convolution of a Gaussian and a Cauchy and it is widely used in atomic and molecular spectroscopy. We show that the Voigt profile is a scale mixture of Gaussian distributions, with mixing…

Probability · Mathematics 2025-11-19 Massimo Cannas

The assembly of virus capsids from free coat proteins proceeds by a complicated cascade of association and dissociation steps, the great majority of which cannot be directly experimentally observed. This has made capsid assembly a rich…

Quantitative Methods · Quantitative Biology 2015-07-09 Lu Xie , Gregory R. Smith , Russell Schwartz

We introduce a novel mesh-free and direct method for computing the shape derivative in PDE-constrained shape optimization problems. Our approach is based on a probabilistic representation of the shape derivative and is applicable for…

Optimization and Control · Mathematics 2026-01-27 Luka Schlegel , Volker Schulz , Frank T. Seifried , Maximilian Würschmidt

Separable multi-block convex optimization problem appears in many mathematical and engineering fields. In the first part of this paper, we propose an inertial proximal ADMM to solve a linearly constrained separable multi-block convex…

Numerical Analysis · Mathematics 2020-12-29 Peng Li , Wengu Chen , Qiyu Sun

Computational screening for new and improved catalyst materials relies on accurate and low-cost predictions of key parameters such as adsorption energies. Here, we use recently developed compressed sensing methods to identify descriptors…

Materials Science · Physics 2019-02-21 Mie Andersen , Sergey V. Levchenko , Matthias Scheffler , Karsten Reuter

In finite-volume-based flow simulations, absorbing layers are widely used to reduce pressure wave reflections at boundaries of the computational domain. A disadvantage of absorbing layers is that they contain case-dependent parameters; thus…

Fluid Dynamics · Physics 2017-11-29 Robinson Perić

The purpose of the present article is to offer an analytical model that can be used for the calibration of photomultiplier tubes (PMTs). The derivation of the mathematical formulae is discussed extensively and we apply this machinery to a…

Instrumentation and Detectors · Physics 2023-11-27 L. N. Kalousis

Affine Frequency Division Multiplexing (AFDM), a new chirp-based multicarrier waveform for high mobility communications, is introduced here. AFDM is based on discrete affine Fourier transform (DAFT), a generalization of discrete Fourier…

Information Theory · Computer Science 2022-05-04 Ali Bemani , Nassar Ksairi , Marios Kountouris
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