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Learning representations of stochastic processes is an emerging problem in machine learning with applications from meta-learning to physical object models to time series. Typical methods rely on exact reconstruction of observations, but…

Machine Learning · Statistics 2021-11-01 Emile Mathieu , Adam Foster , Yee Whye Teh

Chemical abundance determinations from stellar spectra are challenged by observational noise, limitations in stellar models, and departures from simplifying assumptions. While traditional and supervised machine learning methods have made…

Solar and Stellar Astrophysics · Physics 2025-12-24 Theosamuele Signor , Paula Jofré , Hernan Lira , Sara Vitali , Luis Martí , Nayat Sánchez-Pi

Observability is a modelling property that describes the possibility of inferring the internal state of a system from observations of its output. A related property, structural identifiability, refers to the theoretical possibility of…

Quantitative Methods · Quantitative Biology 2018-12-12 Alejandro F. Villaverde

The growth of sky surveys and the large amount of stellar spectra in the current databases, has generated the necessity of developing new methods to estimate atmospheric parameters, a fundamental task on stellar research. In this work we…

Instrumentation and Methods for Astrophysics · Physics 2022-06-27 Miguel Flores R. , Luis J. Corral , Celia R. Fierro-Santillán

Regression problems with time-series predictors are common in banking and many other areas of application. In this paper, we use multi-head attention networks to develop interpretable features and use them to achieve good predictive…

Machine Learning · Computer Science 2022-05-26 Tianjie Wang , Jie Chen , Joel Vaughan , Vijayan N. Nair

Explaining complex or seemingly simple machine learning models is an important practical problem. We want to explain individual predictions from a complex machine learning model by learning simple, interpretable explanations. Shapley values…

Machine Learning · Statistics 2020-02-07 Kjersti Aas , Martin Jullum , Anders Løland

The goal of model distillation is to faithfully transfer teacher model knowledge to a model which is faster, more generalizable, more interpretable, or possesses other desirable characteristics. Human-readability is an important and…

This paper presents a method for uncovering hidden analytic relationships among the fundamental parameters of the Standard Model (SM), a foundational theory in physics that describes the fundamental particles and their interactions, using…

High Energy Physics - Phenomenology · Physics 2025-12-02 S. V. Chekanov , H. Kjellerstrand

Machine learning models of vastly different modalities and architectures are being trained to predict the behavior of molecules, materials, and proteins. However, it remains unclear whether they learn similar internal representations of…

Machine Learning · Computer Science 2025-12-04 Sathya Edamadaka , Soojung Yang , Ju Li , Rafael Gómez-Bombarelli

This book chapter describes how spectral correlations in scattered light fields can be utilized for high-precision time-of-flight sensing. The chapter should serve as a gentle introduction and is intended for computational imaging…

Optics · Physics 2022-09-13 Florian Willomitzer

Supervised machine learning models are trained with various molecular descriptors to predict infrared emission spectra of interstellar polycyclic aromatic hydrocarbons. We demonstrate that a feature importance analysis based on the random…

Astrophysics of Galaxies · Physics 2021-12-08 Zhisen Meng , Xiaosi Zhu , Peter Kovacs , Enwei Liang , Zhao Wang

Image classification is an essential part of computer vision which assigns a given input image to a specific category based on the similarity evaluation within given criteria. While promising classifiers can be obtained through deep…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Emma Andrews , Prabhat Mishra

Decomposing a deep neural network's learned representations into interpretable features could greatly enhance its safety and reliability. To better understand features, we adopt a geometric perspective, viewing them as a learned coordinate…

Machine Learning · Computer Science 2025-04-30 Aryeh Brill

A large number of algorithms in machine learning, from principal component analysis (PCA), and its non-linear (kernel) extensions, to more recent spectral embedding and support estimation methods, rely on estimating a linear subspace from…

Machine Learning · Statistics 2014-08-22 Alessandro Rudi , Guille D. Canas , Lorenzo Rosasco

We investigate the linear correlation coefficient between the intensities at different wavelengths in photospheric and chromospheric spectral lines. Waves that propagate vertically through the stratified solar atmosphere affect different…

Solar and Stellar Astrophysics · Physics 2015-05-14 C. Beck , W. Rammacher

Substances such as chemical compounds are invisible to human eyes, they are usually captured by sensing equipments with their spectral fingerprints. Though spectra of pure chemicals can be identified by visual inspection, the spectra of…

Numerical Analysis · Mathematics 2015-01-07 Yuanchang Sun , Wensong Wu , Jack Xin

Learning interpretable and interpolatable latent representations has been an emerging research direction, allowing researchers to understand and utilize the derived latent space for further applications such as visual synthesis or…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Jia-Wei Yan , Ci-Siang Lin , Fu-En Yang , Yu-Jhe Li , Yu-Chiang Frank Wang

To leverage advancements in machine learning for metallic materials design and property prediction, it is crucial to develop a data-reduced representation of metal microstructures that surpasses the limitations of current physics-based…

Machine learning has emerged as an invaluable tool in many research areas. In the present work, we harness this power to predict highly accurate molecular infrared spectra with unprecedented computational efficiency. To account for…

Chemical Physics · Physics 2021-03-16 Michael Gastegger , Jörg Behler , Philipp Marquetand

Advanced machine learning models have recently achieved high predictive accuracy for weather and climate prediction. However, these complex models often lack inherent transparency and interpretability, acting as "black boxes" that impede…

Atmospheric and Oceanic Physics · Physics 2024-03-29 Ruyi Yang , Jingyu Hu , Zihao Li , Jianli Mu , Tingzhao Yu , Jiangjiang Xia , Xuhong Li , Aritra Dasgupta , Haoyi Xiong
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