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Dimensional regularization of Euclidean momentum space integrals is a highly successful technique in renormalization of quantum field theories. While it yields a straightforward algorithmic method, with which to evaluate diagrams beyond…

Mathematical Physics · Physics 2020-09-03 Juuso Österman

Although 3D Gaussian Splatting has been widely studied because of its realistic and efficient novel-view synthesis, it is still challenging to extract a high-quality surface from the point-based representation. Previous works improve the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Hanlin Chen , Fangyin Wei , Chen Li , Tianxin Huang , Yunsong Wang , Gim Hee Lee

Sup-normalized spectral functions form building blocks of max-stable and Pareto processes and therefore play an important role in modeling spatial extremes. For one of the most popular examples, the Brown-Resnick process, simulation is not…

Statistics Theory · Mathematics 2019-02-26 Marco Oesting , Martin Schlather , Claudia Schillings

Image tokenizers play a central role in modern generative models, where the structure of the latent space critically determines the downstream generation performance. A key but underexplored property of effective latent representations is…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Jinsung Lee , Jaemin Oh , Namhun Kim , Dongwon Kim , Byung-Jun Yoon , Suha Kwak

We present a semi-sparsity model for 3D triangular mesh denoising, which is motivated by the success of semi-sparsity regularization in image processing applications. We demonstrate that such a regularization model can be also applied for…

Graphics · Computer Science 2023-05-09 Junqing Huang , Haihui Wang , Michael Ruzhansky

Spectral Computed Tomography (CT) is an emerging technology that enables to estimate the concentration of basis materials within a scanned object by exploiting different photon energy spectra. In this work, we aim at efficiently solving a…

Optimization and Control · Mathematics 2021-03-26 Alessandro Perelli , Martin S. Andersen

Optimization problems over discrete or quantized variables are very challenging in general due to the combinatorial nature of their search space. Piecewise-affine regularization (PAR) provides a flexible modeling and computational framework…

Machine Learning · Computer Science 2025-08-18 Jianhao Ma , Lin Xiao

We propose a new iterative unfolding method for experimental data, making use of a regularization function. The use of this function allows one to build an improved normalization procedure for Monte Carlo spectra, unbiased by the presence…

Data Analysis, Statistics and Probability · Physics 2009-07-23 Bogdan Malaescu

Dimensional regularization is applied to the Lippmann-Schwinger equation for a separable potential which gives rise to logarithmic singularities in the Born series. For this potential a subtraction at a fixed energy can be used to…

Nuclear Theory · Physics 2009-04-17 D. R. Phillips , I. R. Afnan , A. G. Henry-Edwards

The normalization of scattering states is more than a rote step necessary to calculate expectation values. This normalization actually contains important information regarding the density of the scattering spectrum (along with useful…

Quantum Physics · Physics 2025-05-27 Chris L. Lin

Face anti-spoofing (FAS) plays a crucial role in securing face recognition systems. Empirically, given an image, a model with more consistent output on different views of this image usually performs better, as shown in Fig.1. Motivated by…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Zezheng Wang , Zitong Yu , Xun Wang , Yunxiao Qin , Jiahong Li , Chenxu Zhao , Zhen Lei , Xin Liu , Size Li , Zhongyuan Wang

We report the direct -- continuous in phase -- sampling of a regularized $P$ function, the so-called nonclassicality quasiprobability, for squeezed light. Through their negativities, the resulting phase-space representation uncovers the…

Quantum Physics · Physics 2015-09-23 E. Agudelo , J. Sperling , W. Vogel , S. Köhnke , M. Mraz , B. Hage

From the optimization point of view, a difficulty with parallel MRI with simultaneous coil sensitivity estimation is the multiplicative nature of the non-linear forward operator: the image being reconstructed and the coil sensitivities…

Numerical Analysis · Mathematics 2018-02-06 Yonggui Zhu , Tuomo Valkonen

This article improves on existing methods to estimate the spectral density of stationary and nonstationary time series assuming a Gaussian process prior. By optimising an appropriate eigendecomposition using a smoothing spline covariance…

Methodology · Statistics 2022-06-01 Nick James , Max Menzies

We review current methods for building PSF-matching kernels for the purposes of image subtraction or coaddition. Such methods use a linear decomposition of the kernel on a series of basis functions. The correct choice of these basis…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 A. C. Becker , D. Homrighausen , A. J. Connolly , C. R. Genovese , R. Owen , S. J. Bickerton , R. H. Lupton

We introduce Classification with Alternating Normalization (CAN), a non-parametric post-processing step for classification. CAN improves classification accuracy for challenging examples by re-adjusting their predicted class probability…

Machine Learning · Computer Science 2021-09-29 Menglin Jia , Austin Reiter , Ser-Nam Lim , Yoav Artzi , Claire Cardie

We present a novel analytical method for calculating the spectral function and the density of states in speckle potentials, valid in the semiclassical regime. Our approach relies on stationary phase approximations, allowing us to describe…

Disordered Systems and Neural Networks · Physics 2016-08-24 Tony Prat , Nicolas Cherroret , Dominique Delande

Modern technologies are producing a wealth of data with complex structures. For instance, in two-dimensional digital imaging, flow cytometry, and electroencephalography, matrix type covariates frequently arise when measurements are obtained…

Methodology · Statistics 2013-10-22 Hua Zhou , Lexin Li

Recently, the stochastic asymptotical regularization (SAR) has been developed in (\emph{Inverse Problems}, 39: 015007, 2023) for the uncertainty quantification of the stable approximate solution of linear ill-posed inverse problems. In this…

Numerical Analysis · Mathematics 2024-08-27 Haie Long , Ye Zhang

Sequence to Sequence models struggle at compositionality and systematic generalisation even while they excel at many other tasks. We attribute this limitation to their failure to internalise constructions conventionalised form meaning…

Computation and Language · Computer Science 2025-09-25 Ganesh Katrapati , Manish Shrivastava