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In general, most of the substances in nature exist in mixtures, and the noninvasive identification of mixture composition with high speed and accuracy remains a difficult task. However, the development of Raman spectroscopy, machine…

Signal Processing · Electrical Eng. & Systems 2022-02-02 Liangrui Pan , Peng Zhang , Chalongrat Daengngam , Mitchai Chongcheawchamnan

A unified linear algebraic approach to adaptive signal processing (ASP) is presented. Starting from just Ax=b, key ASP algorithms are derived in a simple, systematic, and integrated manner without requiring any background knowledge to the…

Systems and Control · Computer Science 2015-04-24 Muhammad Ali Raza Anjum

Motivation: Mass spectrometry-based proteomics is among the most commonly used methods for scrutinizing proteomic profiles in different organs for biological or medical researches. All the proteomic analyses including peptide/protein…

Quantitative Methods · Quantitative Biology 2017-11-01 Chunwei Ma

In recent years it has become common practice to divide observed transit absorption spectra by synthetic absorption spectra computed for the transit of an atmosphere-less planet. This action supposedly corrects the observed absorption…

Earth and Planetary Astrophysics · Physics 2024-08-09 W. Dethier , B. Tessore

An optical absorption spectrum constitutes one of the most fundamental material characteristics, with relevant applications ranging from material identification to energy harvesting and optoelectronics. However, the database of both…

Materials Science · Physics 2022-09-20 Ruo Xi Yang , Matthew K. Horton , Jason Munro , Kristin A. Persson

This paper investigates the problem of selecting the embedding dimension for large heterogeneous networks that have weakly distinguishable community structure. For a broad family of embeddings based on normalized adjacency matrices, we…

Statistics Theory · Mathematics 2025-09-09 David Hong , Joshua Cape

Spectral algorithms leverage spectral regularization techniques to analyze and process data, providing a flexible framework for addressing supervised learning problems. To deepen our understanding of their performance in real-world…

Machine Learning · Statistics 2025-07-23 Jun Fan , Zheng-Chu Guo , Lei Shi

An accurate treatment of electronic spectra in large systems with a technique such as time dependent density functional theory (TDDFT) is computationally challenging. Due to the Nyquist sampling theorem, direct real time simulations must be…

Materials Science · Physics 2024-01-17 Matthias Kick , Ezra Alexander , Anton Beiersdorfer , Troy Van Voorhis

This paper addresses the problem of separating spectral sources which are linearly mixed with unknown proportions. The main difficulty of the problem is to ensure the full additivity (sum-to-one) of the mixing coefficients and…

Methodology · Statistics 2010-08-30 Nicolas Dobigeon , Said Moussaoui , Jean-Yves Tourneret , Cedric Carteret

The main purpose of Feature Subset Selection is to find a reduced subset of attributes from a data set described by a feature set. The task of a feature selection algorithm (FSA) is to provide with a computational solution motivated by a…

Artificial Intelligence · Computer Science 2015-03-17 L. A. Belanche , F. F. González

We introduce a new analysis of an adaptive mixture method that combines outputs of two constituent filters running in parallel to model an unknown desired signal. This adaptive mixture is shown to achieve the mean square error (MSE)…

Systems and Control · Computer Science 2012-03-20 Mehmet A. Donmez , Sait Tunc , Suleyman S. Kozat

This article explores the application of various artificial intelligence techniques to the analysis of near-infrared (NIR) spectra of paracetamol, within the spectral range of 900 nm to 1800 nm. The main objective is to evaluate the…

Optics · Physics 2025-10-14 Aminata Sow , Tidiane Diallo

The finite volume algorithm for absorption correction developed by Wunch and Prewitt is examined. This algorithm is based on the numerical integration of the transmission function where three-dimensional quadratic surfaces define the sample…

Materials Science · Physics 2024-10-14 Jose A. Rodriguez-Rivera , Chris Stock

Feature selection, as a critical pre-processing step for machine learning, aims at determining representative predictors from a high-dimensional feature space dataset to improve the prediction accuracy. However, the increase in feature…

Machine Learning · Statistics 2020-11-16 Fatemeh Amini , Guiping Hu

We propose an experimental method for measuring bias in face recognition systems. Existing methods to measure bias depend on benchmark datasets that are collected in the wild and annotated for protected (e.g., race, gender) and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Hao Liang , Pietro Perona , Guha Balakrishnan

To design semiconductor-based optical devices, the optical properties of the used semiconductor materials must be precisely measured over a large band. Transmission spectroscopy stands out as an inexpensive and widely available method for…

Spectral deconvolution is essential for extracting peak structures that encode material properties and chemical structures, but conventional automated methods often fail when spectra contain high-intensity noise or unknown background…

Data Analysis, Statistics and Probability · Physics 2026-05-19 Hayato Okubo , Yoshifumi Amamoto , Toshimitsu Aritake , Hiroyuki Kumazoe , Shiryu Nakano , Evan Jamison , Satoshi Tanaka , Yoh-ichi Mototake

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

Synthetic data generation is increasingly used in machine learning for training and data augmentation. Yet, current strategies often rely on external foundation models or datasets, whose usage is restricted in many scenarios due to policy…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Parsa Rahimi , Sebastien Marcel

Recently, new adaptive techniques were developed that greatly improved the efficiency of solving PDEs using spectral methods. These adaptive spectral techniques are especially suited for accurately solving problems in unbounded domains and…

Numerical Analysis · Mathematics 2022-05-09 Tom Chou , Sihong Shao , Mingtao Xia