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Temporal surrogate models are effective for predicting chaotic dynamical systems where computational cost can be prohibitive. Several deep neural network architectures can be used for such purposes. In this work, a few commonly used…

机器学习 · 计算机科学 2026-05-26 Rajarshi Biswas

Artificial neural networks have advanced the frontiers of reversible steganography. The core strength of neural networks is the ability to render accurate predictions for a bewildering variety of data. Residual modulation is recognised as…

计算机视觉与模式识别 · 计算机科学 2023-03-08 Ching-Chun Chang , Xu Wang , Sisheng Chen , Hitoshi Kiya , Isao Echizen

This paper proposes a technique for training a neural network by minimizing a surrogate loss that approximates the target evaluation metric, which may be non-differentiable. The surrogate is learned via a deep embedding where the Euclidean…

计算机视觉与模式识别 · 计算机科学 2020-07-20 Yash Patel , Tomas Hodan , Jiri Matas

The paper introduces a novel topological method for prediction and modeling for a nonlinear time--series that exhibit recurring patterns. According to the model, global manifold of the reconstructed state--space can be approximated by a few…

混沌动力学 · 物理学 2017-11-21 Sajini Anand P S , Prabhakar G Vaidya

Generating high quality uncertainty estimates for sequential regression, particularly deep recurrent networks, remains a challenging and open problem. Existing approaches often make restrictive assumptions (such as stationarity) yet still…

机器学习 · 计算机科学 2021-07-26 Jiri Navratil , Matthew Arnold , Benjamin Elder

This paper considers an empirical likelihood inference for parameters defined by general estimating equations, when data are missing at random. The efficiency of existing estimators depends critically on correctly specifying the conditional…

统计方法学 · 统计学 2016-12-06 Tianqing Liu , Xiaohui Yuan , Zhaohai Li , Aiyi Liu

Given the long follow-up periods that are often required for treatment or intervention studies, the potential to use surrogate markers to decrease the required follow-up time is a very attractive goal. However, previous studies have shown…

统计方法学 · 统计学 2016-08-12 Layla Parast , Tianxi Cai , Lu Tian

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

统计计算 · 统计学 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

We consider the limitations of two techniques for detecting nonlinearity in time series. The first technique compares the original time series to an ensemble of surrogate time series that are constructed to mimic the linear properties of…

comp-gas · 物理学 2008-02-03 James Theiler , Paul S. Linsay , David M. Rubin

This paper presents a computationally efficient robust model predictive control law for discrete linear time invariant systems subject to additive disturbances that may depend on the state and/or input norms. Despite the dependency being…

最优化与控制 · 数学 2019-08-12 Danylo Malyuta , Behcet Acikmese , Martin Cacan

In climate systems, physiological models, optics, and many more, surrogate models are developed to reconstruct chaotic dynamical systems. We introduce four data-driven measures using global attractor properties to evaluate the quality of…

计算物理 · 物理学 2025-06-12 Luci Fumagalli , Kathy Lüdge , Jana de Wiljes , Heikki Haario , Lina Jaurigue

Stochastic unit commitment models typically handle uncertainties in forecast demand by considering a finite number of realizations from a stochastic process model for loads. Accurate evaluations of expectations or higher moments for the…

系统与控制 · 计算机科学 2014-07-09 Cosmin Safta , Richard L. Chen , Habib N. Najm , Ali Pinar , Jean-paul watson

We establish a formal connection between the decades-old surrogate outcome model in biostatistics and economics and the emerging field of prediction-powered inference (PPI). The connection treats predictions from pre-trained models,…

机器学习 · 统计学 2025-01-17 Wenlong Ji , Lihua Lei , Tijana Zrnic

Time series forecasting is an important and forefront task in many real-world applications. However, most of time series forecasting techniques assume that the training data is clean without anomalies. This assumption is unrealistic since…

机器学习 · 计算机科学 2024-02-06 Hao Cheng , Qingsong Wen , Yang Liu , Liang Sun

Machine learning surrogates are increasingly employed to replace expensive computational models for physics-based reliability analysis. However, their use introduces epistemic uncertainty from model approximation errors, which couples with…

机器学习 · 计算机科学 2025-09-24 Amirreza Tootchi , Xiaoping Du

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

机器学习 · 计算机科学 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

Optimization in engineering requires appropriate models. In this article, a regression method for enhancing the predictive power of a model by exploiting expert knowledge in the form of shape constraints, or more specifically, monotonicity…

We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is…

数值分析 · 数学 2020-08-11 Daniel Drzisga , Brendan Keith , Barbara Wohlmuth

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

神经与进化计算 · 计算机科学 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña

Using the concept of the geometric measures of redundance and irrelevance tradeoff exponent (RITE)}, we present a new method to determine suitable delay times for continuous systems. After applying the RITE algorithm to both simulation and…

混沌动力学 · 物理学 2007-05-23 Xiaodong Luo , Michael Small