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We evaluate an adaptive gaussian quadrature integration scheme that will be suitable for the numerical evaluation of generalized redistribution in frequency functions. The latter are indispensable ingredients for "full non-LTE" radiation…

Instrumentation and Methods for Astrophysics · Physics 2020-01-29 F. Paletou , C. Peymirat , E. Anterrieu , T. Böhm

This paper introduces a new functional expansion framework that extends classical ideas beyond the Taylor series. Unlike traditional Taylor expansions based on local polynomial approximations, the proposed approach arises from exact…

Numerical Analysis · Mathematics 2026-02-03 Junping Wang

In this article we will analyse how to compute the contribution of each input value to its aggregate output in some nonlinear models. Regression and classification applications, together with related algorithms for deep neural networks are…

Machine Learning · Computer Science 2022-07-26 Cosimo Izzo

The global importance of effective and affordable pesticides to optimise crop yield and to support health of our growing population cannot be understated. But to develop new products or refine existing ones in response to climate and…

Dynamical Systems · Mathematics 2022-10-21 J. Delos Reyes , T. Shardlow , M. B. Delgado-Charro , S. Webb , K. A. J. White

Affine correspondences have received significant attention due to their benefits in tasks like image matching and pose estimation. Existing methods for extracting affine correspondences still have many limitations in terms of performance;…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Pengju Sun , Banglei Guan , Zhenbao Yu , Yang Shang , Qifeng Yu , Daniel Barath

Score-based diffusion models (SBDMs) are powerful amortized samplers for Boltzmann distributions; however, imperfect score estimates bias downstream Monte Carlo estimates. Classical importance sampling (IS) can correct this bias, but…

Machine Learning · Computer Science 2025-11-10 Fengzhe Zhang , Laurence I. Midgley , José Miguel Hernández-Lobato

We present two new tools for studying and modelling metal absorption lines in the circumgalactic medium. The first tool, dubbed ``NMF Profile Maker'' (NMF$-$PM), uses a non-negative matrix factorization (NMF) method and provides a robust…

Additive models and generalized additive models are effective semiparametric tools for multidimensional data. In this article we propose an online smoothing backfitting method for generalized additive models with local polynomial smoothers.…

Statistics Theory · Mathematics 2021-12-20 Ying Yang , Fang Yao

We study 3D point cloud attribute compression using a volumetric approach: given a target volumetric attribute function $f : \mathbb{R}^3 \rightarrow \mathbb{R}$, we quantize and encode parameter vector $\theta$ that characterizes $f$ at…

Signal Processing · Electrical Eng. & Systems 2023-04-04 Tam Thuc Do , Philip A. Chou , Gene Cheung

Current state-of-the-art results in computer vision depend in part on fine-tuning large pre-trained vision models. However, with the exponential growth of model sizes, the conventional full fine-tuning, which needs to store a individual…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Shibo Jie , Haoqing Wang , Zhi-Hong Deng

Diffusion probabilistic models learn to remove noise added during training, generating novel data (e.g., images) from Gaussian noise through sequential denoising. However, conditioning the generative process on corrupted or masked images is…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Sakshi Agarwal , Gabriel Hope , Jimin Heo , Erik B. Sudderth

We introduce an adaptive sampling method for the Deep Ritz method aimed at solving partial differential equations (PDEs). Two deep neural networks are used. One network is employed to approximate the solution of PDEs, while the other one is…

Machine Learning · Computer Science 2023-10-31 Xiaoliang Wan , Tao Zhou , Yuancheng Zhou

A method is given for finding roots of a one-variable function using Taylor's expansion of that function and fractional derivative calculated at a suitable tangent point without using Newton's method, but is regarded as a variant of Halley…

Optimization and Control · Mathematics 2023-03-10 Ali Dorostkar , Ahmad Sabihi

The concept of topological derivative has proved effective as a qualitative inversion tool for a wave-based identification of finite-sized objects. Although for the most part, this approach remains based on a heuristic interpretation of the…

Numerical Analysis · Mathematics 2020-01-08 Marc Bonnet , Fioralba Cakoni

To accurately quantify in vivo radiotracer uptake using Positron Emission Tomography (PET) is a challenging task due to low signal-to-noise ratio (SNR) and poor spatial resolution of PET camera along with the finite image sampling…

Image and Video Processing · Electrical Eng. & Systems 2020-06-03 Mahbubunnabi Tamal

Model compression is generally performed by using quantization, low-rank approximation or pruning, for which various algorithms have been researched in recent years. One fundamental question is: what types of compression work better for a…

Machine Learning · Computer Science 2021-07-12 Miguel Á. Carreira-Perpiñán , Yerlan Idelbayev

Solving high-dimensional PDE-governed inverse problems is often challenging due to complex non-Gaussian posterior distributions, expensive forward model evaluations, and misspecified prior information. To address these issues, we propose a…

Machine Learning · Computer Science 2026-05-29 Yueyang Wang , Xili Wang , Kejun Tang , Xiaoliang Wan , Tao Zhou , Chao Yang

Fine-tuning is widely applied in image classification tasks as a transfer learning approach. It re-uses the knowledge from a source task to learn and obtain a high performance in target tasks. Fine-tuning is able to alleviate the challenge…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Xuyang Shen , Jo Plested , Sabrina Caldwell , Yiran Zhong , Tom Gedeon

The analysis of astronomical interferometric data is often performed on the images obtained after deconvolution of the interferometer's point spread function (PSF). This strategy can be understood (especially for cases of sparse arrays) as…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 I. Marti-Vidal , W. H. T. Vlemmings , S. Muller , S. Casey

Recent advances in laser technology allow us to follow electronic motion at its natural time-scale with ultra-fast time resolution, leading the way towards attosecond physics experiments of extreme precision. In this work, we assess the use…

Other Condensed Matter · Physics 2016-06-22 Jessica Walkenhorst , Umberto De Giovannini , Alberto Castro , Angel Rubio