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Exponential Random Graph Models (ERGMs) are an inferential model for analysing statistical networks. Recent development in ERGMs uses hierarchical Bayesian setup to jointly model a group of networks, which is called a multiple-network…

Methodology · Statistics 2025-06-06 Yefeng Fan , Simon Richard White

The measured spatiotemporal response of various physical processes is utilized to infer the governing partial differential equations (PDEs). We propose SimultaNeous Basis Function Approximation and Parameter Estimation (SNAPE), a technique…

Machine Learning · Computer Science 2021-09-17 Sutanu Bhowmick , Satish Nagarajaiah

Spectral neural operators achieve strong performance for PDE learning, but rely on fixed global bases that limit their ability to represent spatially heterogeneous and multiscale dynamics. We propose Adaptive Basis Learning (ABLE), a…

Machine Learning · Computer Science 2026-05-12 Xuxiang Zhao , Angelica I. Aviles-Rivero

Precise continuum normalisation of merged \'{e}chelle spectra is a demanding task necessary for various detailed spectroscopic analyses. Automatic methods have limited effectiveness due to the variety of features present in the spectra of…

Instrumentation and Methods for Astrophysics · Physics 2022-03-30 Tomasz Różański , Ewa Niemczura , Jakub Lemiesz , Natalia Posiłek , Paweł Różański

Spectropolarimetric inversions of solar observations are fundamental for the estimation of the magnetic field in the solar atmosphere. However, instrumental noise, computational requirements, and varying levels of physical realism make it…

Solar and Stellar Astrophysics · Physics 2025-02-20 Robert Jarolim , Momchil E. Molnar , Benoit Tremblay , Rebecca Centeno , Matthias Rempel

Spectroscopic observations constrain the fundamental properties of stellar atmospheres, in particular, the effective temperature, the gravitational acceleration, or the metallicity. In this work, we describe the spectroscopic module for…

Solar and Stellar Astrophysics · Physics 2025-06-27 Miroslav Brož , Andrej Prša , Kyle E. Conroy , Michael Abdul-Masih

With the plentiful information available in the Gaia BP/RP spectra, there is significant scope for applying discriminative models to extract stellar atmospheric parameters and abundances. We describe an approach to leverage an `Uncertain…

Solar and Stellar Astrophysics · Physics 2024-05-20 Connor P. Fallows , Jason L. Sanders

Training energy-based models (EBMs) with noise-contrastive estimation (NCE) is theoretically feasible but practically challenging. Effective learning requires the noise distribution to be approximately similar to the target distribution,…

Machine Learning · Computer Science 2022-11-07 Nathaniel Xu

Spectral methods employing non-standard polynomial bases, such as M\"untz polynomials, have proven effective for accurately solving problems with solutions exhibiting low regularity, notably including sub-diffusion equations. However, due…

Numerical Analysis · Mathematics 2025-05-22 Wei Zeng , Chuanju Xu , Yiming Lu , Qian Wang

We present Adjacent Possible Exploration (APE), a selective fine-tuning method for adapting large language models that systematically explores parameter modifications while maintaining model stability. Inspired by evolutionary optimization…

Computation and Language · Computer Science 2025-06-10 Javier Marín

This paper proposes the use of spectral element methods \citep{canuto_spectral_1988} for fast and accurate training of Neural Ordinary Differential Equations (ODE-Nets; \citealp{Chen2018NeuralOD}) for system identification. This is achieved…

Neural and Evolutionary Computing · Computer Science 2020-01-20 Alessio Quaglino , Marco Gallieri , Jonathan Masci , Jan Koutník

Recent advances in probabilistic deep learning enable efficient amortized Bayesian inference in settings where the likelihood function is only implicitly defined by a simulation program (simulation-based inference; SBI). But how faithful is…

Machine Learning · Computer Science 2024-06-07 Marvin Schmitt , Paul-Christian Bürkner , Ullrich Köthe , Stefan T. Radev

Evaluating policies using off-policy data is crucial for applying reinforcement learning to real-world problems such as healthcare and autonomous driving. Previous methods for off-policy evaluation (OPE) generally suffer from high variance…

Machine Learning · Computer Science 2024-10-04 Shreyas Chaudhari , Ameet Deshpande , Bruno Castro da Silva , Philip S. Thomas

We introduce universal neural likelihood inference (UNLI): enabling a single model to provide data-grounded, conditional likelihood predictions for arbitrary targets given any collection of observed features, across diverse domains and…

Machine Learning · Computer Science 2026-02-05 Shreyas Bhat Brahmavar , Yang Li , Qiyang Liu , Shashank Srivastava , Junier Oliva

Detached eclipsing binaries (DEBs) enable direct inference of stellar and orbital properties across diverse stellar populations. However, inference typically requires computationally intensive forward modeling and radial velocity (RV)…

Solar and Stellar Astrophysics · Physics 2026-04-23 Jacqueline Blaum Hough , Joshua S. Bloom

Amortized Bayesian inference (ABI) with neural networks can solve probabilistic inverse problems orders of magnitude faster than classical methods. However, ABI is not yet sufficiently robust for widespread and safe application. When…

Machine Learning · Statistics 2026-03-04 Aayush Mishra , Daniel Habermann , Marvin Schmitt , Stefan T. Radev , Paul-Christian Bürkner

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

We provide a suite of public open-source spectral data-reduction software to rapidly obtain scientific products from all forms of long-slit-like spectroscopic observations. Automated SpectroPhotometric REDuction (ASPIRED) is a Python-based…

Instrumentation and Methods for Astrophysics · Physics 2023-06-16 Marco C. Lam , Robert J. Smith , Iair Arcavi , Iain A. Steele , Josh Veitch-Michaelis , Lukasz Wyrzykowski

We present an application of the Balanced Neural Ratio Estimation (BNRE) algorithm to improve the statistical validity of parameter estimates used to characterize the Epoch of Reionization, where the common assumption of a multivariate…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Diego González-Hernández , Molly Wolfson , Joseph F. Hennawi

Spectral Clustering is a popular technique to split data points into groups, especially for complex datasets. The algorithms in the Spectral Clustering family typically consist of multiple separate stages (such as similarity matrix…

Machine Learning · Computer Science 2019-11-04 Yifei Wang , Rui Liu , Yong Chen , Hui Zhangs , Zhiwen Ye
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