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Anomaly detection in time-series has a wide range of practical applications. While numerous anomaly detection methods have been proposed in the literature, a recent survey concluded that no single method is the most accurate across various…

Machine Learning · Computer Science 2023-03-14 Mononito Goswami , Cristian Challu , Laurent Callot , Lenon Minorics , Andrey Kan

We consider a general nonlinear regression problem where the predictors contain measurement error. It has been recently discovered that several well-known dimension reduction methods, such as OLS, SIR and pHd, can be performed on the…

Statistics Theory · Mathematics 2009-09-29 Bing Li , Xiangrong Yin

We study consistency properties of machine learning methods based on minimizing convex surrogates. We extend the recent framework of Osokin et al. (2017) for the quantitative analysis of consistency properties to the case of inconsistent…

Machine Learning · Computer Science 2019-01-10 Kirill Struminsky , Simon Lacoste-Julien , Anton Osokin

We analyze the variability in the X-ray lightcurves of the black hole candidate Cygnus X-1 by linear and nonlinear time series analysis methods. While a linear model describes the over-all second order properties of the observed data well,…

Policy makers typically face the problem of wanting to estimate the long-term effects of novel treatments, while only having historical data of older treatment options. We assume access to a long-term dataset where only past treatments were…

Econometrics · Economics 2022-02-11 Keith Battocchi , Eleanor Dillon , Maggie Hei , Greg Lewis , Miruna Oprescu , Vasilis Syrgkanis

The detection of machine-generated text, especially from large language models (LLMs), is crucial in preventing serious social problems resulting from their misuse. Some methods train dedicated detectors on specific datasets but fall short…

Machine Learning · Computer Science 2024-06-05 Yibo Miao , Hongcheng Gao , Hao Zhang , Zhijie Deng

Estimating long-term causal effects based on short-term surrogates is a significant but challenging problem in many real-world applications, e.g., marketing and medicine. Despite its success in certain domains, most existing methods…

Machine Learning · Computer Science 2023-11-22 Ruichu Cai , Weilin Chen , Zeqin Yang , Shu Wan , Chen Zheng , Xiaoqing Yang , Jiecheng Guo

Recently, neural surrogate models have emerged as a compelling alternative to traditional simulation workflows. This is accomplished by modeling the underlying function of scientific simulations, removing the need to run expensive…

Machine Learning · Computer Science 2025-08-19 Xiaohan Wang , Zhimin Li , Joshua A. Levine , Matthew Berger

Synthetic data generation has been widely adopted in software testing, data privacy, imbalanced learning, and artificial intelligence explanation. In all such contexts, it is crucial to generate plausible data samples. A common assumption…

Artificial Intelligence · Computer Science 2024-10-16 Martina Cinquini , Fosca Giannotti , Riccardo Guidotti

Solving complex problems requires continuous effort in developing theory and practice to cope with larger, more difficult scenarios. Working with surrogates is normal for creating a proxy that realistically models the problem into the…

Neural and Evolutionary Computing · Computer Science 2026-02-10 Tomohiro Harada , Enrique Alba , Gabriel Luque

In 1980 and 1981, two pioneering papers laid the foundation for what became known as nonlinear time-series analysis: the analysis of observed data---typically univariate---via dynamical systems theory. Based on the concept of state-space…

Chaotic Dynamics · Physics 2015-06-24 Elizabeth Bradley , Holger Kantz

A surrogate model that accurately predicts distribution system voltages is crucial for reliable smart grid planning and operation. This letter proposes a fixed-point data-driven surrogate modeling method that employs a limited dataset to…

Systems and Control · Electrical Eng. & Systems 2024-01-01 Hoang Tien Nguyen , Young-Jin Kim , Dae-Hyun Choi

The development of a reliable and robust surrogate model is often constrained by the dimensionality of the problem. For a system with high-dimensional inputs/outputs (I/O), conventional approaches usually use a low-dimensional manifold to…

Image and Video Processing · Electrical Eng. & Systems 2020-10-01 Xihaier Luo , Ahsan Kareem

Motivated by the increasing use of and rapid changes in array technologies, we consider the prediction problem of fitting a linear regression relating a continuous outcome $Y$ to a large number of covariates $\mathbf {X}$, for example,…

Applications · Statistics 2014-01-13 Philip S. Boonstra , Bhramar Mukherjee , Jeremy M. G. Taylor

There is a high interest in accelerating multiscale models using data-driven surrogate modeling techniques. Creating a large training dataset encompassing all relevant load scenarios is essential for a good surrogate, yet the computational…

Numerical Analysis · Mathematics 2025-04-24 J. Storm , W. Sun , I. B. C. M. Rocha , F. P. van der Meer

We introduce a statistical method to detect nonlinearity and nonstationarity in time series, that works even for short sequences and in presence of noise. The method has a discrimination power similar to that of the most advanced estimators…

Chaotic Dynamics · Physics 2010-11-16 M. De Domenico , V. Latora

Time series data generation has drawn increasing attention in recent years. Several generative adversarial network (GAN) based methods have been proposed to tackle the problem usually with the assumption that the targeted time series data…

Machine Learning · Computer Science 2021-11-17 Hengzhi Pei , Kan Ren , Yuqing Yang , Chang Liu , Tao Qin , Dongsheng Li

Surrogate models are a well established approach to reduce the number of expensive function evaluations in continuous optimization. In the context of genetic programming, surrogate modeling still poses a challenge, due to the complex…

Neural and Evolutionary Computing · Computer Science 2018-07-04 Martin Zaefferer , Jörg Stork , Oliver Flasch , Thomas Bartz-Beielstein

In linear regression problems with related predictors, it is desirable to do variable selection and estimation by maintaining the hierarchical or structural relationships among predictors. In this paper we propose non-negative garrote…

Applications · Statistics 2010-11-03 Ming Yuan , V. Roshan Joseph , Hui Zou

Neural networks have become a powerful tool as surrogate models to provide numerical solutions for scientific problems with increased computational efficiency. This efficiency can be advantageous for numerically challenging problems where…

Machine Learning · Statistics 2023-10-25 Pelin Ersin , Emma Hayes , Peter Matthews , Paramjyoti Mohapatra , Elisa Negrini , Karl Schulz
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