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Interpreting spectroscopy data is a critical bottleneck in automating chemical research and industrial characterization. Particularly within infrared (IR) spectroscopy, identifying compounds in complex, liquid-phase chemical mixtures…

Materials Science · Physics 2026-02-26 Yannah J. U. Melle , Thanh Nguyen , Jeffrey Lopez , Daniel Schwalbe-Koda

Independent component analysis (ICA) is a widely used method in various applications of signal processing and feature extraction. It extends principal component analysis (PCA) and can extract important and complicated components with small…

Machine Learning · Computer Science 2025-09-17 Yoshitatsu Matsuda , Kazunori Yamaguch

It is by now well established that, by means of the integration by part identities, all the integrals occurring in the evaluation of a Feynman graph of given topology can be expressed in terms of a few independent master integrals. It is…

High Energy Physics - Theory · Physics 2022-03-02 Ettore Remiddi

A non-iterative topological sensitivity framework for guaranteed far field detection of a dielectric inclusion is presented. The cases of single and multiple measurements of the electric far field scattering amplitude at a fixed frequency…

Mathematical Physics · Physics 2016-10-27 Abdul Wahab , Naveed Ahmed , Tasawar Abbas

Many animals emit vocal sounds which, independently from the sounds' function, embed some individually-distinctive signature. Thus the automatic recognition of individuals by sound is a potentially powerful tool for zoology and ecology…

Sound · Computer Science 2018-10-23 Dan Stowell , Tereza Petrusková , Martin Šálek , Pavel Linhart

The inverse problem for the differential operator pencil with complex periodic potential and discontinuous coefficients on the axis is studied. Main characteristics of the fundamental solutions are investigated, the spectrum of the operator…

Spectral Theory · Mathematics 2010-03-30 R. F. Efendiev

The increasing accessibility and precision of Earth observation satellite data offers considerable opportunities for industrial and state actors alike. This calls however for efficient methods able to process time-series on a global scale.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-09 Vivien Sainte Fare Garnot , Loic Landrieu

Conventional imaging systems can only capture light intensity. Meanwhile, the lost phase information may be critical for a variety of applications such as label-free microscopy and optical metrology. Existing phase retrieval techniques…

Automaton models are often seen as interpretable models. Interpretability itself is not well defined: it remains unclear what interpretability means without first explicitly specifying objectives or desired attributes. In this paper, we…

Machine Learning · Statistics 2016-11-28 Christian Albert Hammerschmidt , Sicco Verwer , Qin Lin , Radu State

Current and future continuum surveys being undertaken by the new generation of radio telescopes are now poised to address many important science questions, ranging from the earliest galaxies, to the physics of nearby AGN, as well as…

Instrumentation and Methods for Astrophysics · Physics 2016-04-25 Jeremy J. Harwood , Raffaella Morganti

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

Signal Processing · Electrical Eng. & Systems 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

We extend the principal component analysis (PCA) to second-order stationary vector time series in the sense that we seek for a contemporaneous linear transformation for a $p$-variate time series such that the transformed series is segmented…

Methodology · Statistics 2018-12-21 Jinyuan Chang , Bin Guo , Qiwei Yao

Each year, numerous segmentation and classification algorithms are invented or reused to solve problems where machine vision is needed. Generally, the efficiency of these algorithms is compared against the results given by one or many human…

Computer Vision and Pattern Recognition · Computer Science 2008-12-18 Arnaud Martin , Hicham Laanaya , Andreas Arnold-Bos

Anomaly detection on multivariate time-series is of great importance in both data mining research and industrial applications. Recent approaches have achieved significant progress in this topic, but there is remaining limitations. One major…

Machine Learning · Computer Science 2020-09-07 Hang Zhao , Yujing Wang , Juanyong Duan , Congrui Huang , Defu Cao , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

In multiple correspondence analysis, both individuals (observations) and categories can be represented in a biplot that jointly depicts the relationships across categories or individuals, as well as the associations between them. Additional…

Methodology · Statistics 2019-01-10 Mariko Takagishi , Michel van de Velden

Specialized classifiers, namely those dedicated to a subset of classes, are often adopted in real-world recognition systems. However, integrating such classifiers is nontrivial. Existing methods, e.g. weighted average, usually implicitly…

Machine Learning · Computer Science 2017-09-08 Zhizhong Li , Dahua Lin

Frequent Episode Discovery framework is a popular framework in Temporal Data Mining with many applications. Over the years many different notions of frequencies of episodes have been proposed along with different algorithms for episode…

Artificial Intelligence · Computer Science 2010-07-06 Avinash Achar , Srivatsan Laxman , P. S. Sastry

The work relates to a new way for analysis of one-dimensional stochastic systems, based on consideration of its higher order difference structure. From this point of view, the deterministic and random processes are analyzed. A new numerical…

Chaotic Dynamics · Physics 2016-09-08 A. Yu. Shahverdian , A. V. Apkarian

Recently, semantic video segmentation gained high attention especially for supporting autonomous driving systems. Deep learning methods made it possible to implement real time segmentation and object identification algorithms on videos.…

Image and Video Processing · Electrical Eng. & Systems 2019-10-30 Beril Sirmacek , Nicolò Botteghi , Santiago Sanchez Escalonilla Plaza

This is a survey article on $F$-singularities and their applications.

Commutative Algebra · Mathematics 2015-04-01 Shunsuke Takagi , Kei-ichi Watanabe
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