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The surrogate gradient descent algorithm enabled spiking neural networks to be trained to carry out challenging sensory processing tasks, an important step in understanding how spikes contribute to neural computations. However, it is…

Neural and Evolutionary Computing · Computer Science 2025-12-19 Ziqiao Yu , Pengfei Sun , Danyal Akarca , Dan F. M. Goodman

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

Numerical Analysis · Mathematics 2026-03-16 Matteo Giacomini , Pedro Díez

We devise a machine learning technique to solve the general problem of inferring network links that have time-delays. The goal is to do this purely from time-series data of the network nodal states. This task has applications in fields…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Amitava Banerjee , Joseph D. Hart , Rajarshi Roy , Edward Ott

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

In recent years, neural network-based classification has been used to improve data analysis at collider experiments. While this strategy proves to be hugely successful, the underlying models are not commonly shared with the public and rely…

High Energy Physics - Phenomenology · Physics 2024-09-30 Sebastian Bieringer , Gregor Kasieczka , Jan Kieseler , Mathias Trabs

Network structures underlie the dynamics of many complex phenomena, from gene regulation and foodwebs to power grids and social media. Yet, as they often cannot be observed directly, their connectivities must be inferred from observations…

Machine Learning · Computer Science 2023-11-02 Thomas Gaskin , Grigorios A. Pavliotis , Mark Girolami

In this paper we introduce a novel way of estimating prediction uncertainty in deep networks through the use of uncertainty surrogates. These surrogates are features of the penultimate layer of a deep network that are forced to match…

Machine Learning · Computer Science 2021-04-19 Radhakrishna Achanta , Natasa Tagasovska

The topology optimization of artificial neural networks can be particularly difficult if the fitness evaluations require expensive experiments or simulations. For that reason, the optimization methods may need to be supported by surrogate…

Neural and Evolutionary Computing · Computer Science 2018-07-23 Jörg Stork , Martin Zaefferer , Thomas Bartz-Beielstein

We propose a Markov chain method to efficiently generate 'surrogate networks' that are random under the constraint of given vertex strengths. With these strength-preserving surrogates and with edge-weight-preserving surrogates we…

Data Analysis, Statistics and Probability · Physics 2012-01-04 Gerrit Ansmann , Klaus Lehnertz

Extracting relevant properties of empirical signals generated by nonlinear, stochastic, and high-dimensional systems is a challenge of complex systems research. Open questions are how to differentiate chaotic signals from stochastic ones,…

Data Analysis, Statistics and Probability · Physics 2021-07-08 B. R. R. Boaretto , R. C. Budzinski , K. L. Rossi , T. L. Prado , S. R. Lopes , C. Masoller

Neural networks are known to be highly sensitive to adversarial examples. These may arise due to different factors, such as random initialization, or spurious correlations in the learning problem. To better understand these factors, we…

Machine Learning · Statistics 2022-07-05 Elvis Dohmatob , Alberto Bietti

A key question in many network studies is whether the observed correlations between units are primarily due to contagion or latent confounding. Here, we study this question using a segregated graph (Shpitser, 2015) representation of these…

Machine Learning · Computer Science 2025-03-07 Yufeng Wu , Rohit Bhattacharya

An accurate and efficient simulation of the hysteretic behavior of materials and components is essential for structural analysis. The surrogate model based on neural networks shows significant potential in balancing efficiency and accuracy.…

Machine Learning · Computer Science 2023-06-21 Yongjia Xu , Xinzheng Lu , Yifan Fei , Yuli Huang

Binomial time series in which the logit of the probability of success is modelled as a linear function of observed regressors and a stationary latent Gaussian process are considered. Score tests are developed to first test for the existence…

Statistics Theory · Mathematics 2016-06-06 W. T. M. Dunsmuir , J. Y. He

Linear response theory has developed into a formidable set of tools for studying the forced behaviour of a large variety of systems - including out of equilibrium ones. In this paper we provide a new angle on the problem, by studying under…

Statistical Mechanics · Physics 2018-10-17 Valerio Lucarini

We study the interplay between surrogate methods for structured prediction and techniques from multitask learning designed to leverage relationships between surrogate outputs. We propose an efficient algorithm based on trace norm…

Machine Learning · Computer Science 2019-03-05 Giulia Luise , Dimitris Stamos , Massimiliano Pontil , Carlo Ciliberto

Coarse-scale surrogate models in the context of numerical homogenization of linear elliptic problems with arbitrary rough diffusion coefficients rely on the efficient solution of fine-scale sub-problems on local subdomains whose solutions…

Numerical Analysis · Mathematics 2022-09-07 Fabian Kröpfl , Roland Maier , Daniel Peterseim

With the ever-increasing use of complex machine learning models in critical applications within the finance domain, explaining the decisions of the model has become a necessity. With applications spanning from credit scoring to credit…

Machine Learning · Computer Science 2020-09-14 Aditya Lahiri , Narayanan Unny Edakunni

Nuclear reaction data required for astrophysics and applications is incomplete, as not all nuclear reactions can be measured or reliably predicted. Neutron-induced reactions involving unstable targets are particularly challenging, but often…

We present an adaptation of the standard Grassberger-Proccacia (GP) algorithm for estimating the Correlation Dimension of a time series in a non subjective manner. The validity and accuracy of this approach is tested using different types…

Chaotic Dynamics · Physics 2008-11-26 K. P. Harikrishnan , R. Misra , G. Ambika , A. K. Kembhavi