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The celebrated Takens' embedding theorem provides a theoretical foundation for reconstructing the full state of a dynamical system from partial observations. However, the classical theorem assumes that the underlying system is deterministic…

动力系统 · 数学 2025-11-07 Jonah Botvinick-Greenhouse , Maria Oprea , Romit Maulik , Yunan Yang

Evolutionary algorithms based on modeling the statistical dependencies (interactions) between the variables have been proposed to solve a wide range of complex problems. These algorithms learn and sample probabilistic graphical models able…

神经与进化计算 · 计算机科学 2015-11-19 Murilo Zangari de Souza , Roberto Santana , Aurora Trinidad Ramirez Pozo , Alexander Mendiburu

Normalizing Flows are a promising new class of algorithms for unsupervised learning based on maximum likelihood optimization with change of variables. They offer to learn a factorized component representation for complex nonlinear data and,…

机器学习 · 计算机科学 2020-02-17 Reuben Feinman , Nikhil Parthasarathy

The ocean wave distribution in a specific region of space and time is described by its sea state. Knowledge about the sea states a ship encounters on a journey can be used to assess various parameters of risk and wear associated with the…

应用统计 · 统计学 2019-06-04 Anders Hildeman , David Bolin , Igor Rychlik

Current endeavours in exoplanet characterisation rely on atmospheric retrieval to quantify crucial physical properties of remote exoplanets from observations. However, the scalability and efficiency of the technique are under strain with…

地球与行星天体物理 · 物理学 2023-11-17 Kai Hou Yip , Quentin Changeat , Ahmed Al-Refaie , Ingo Waldmann

An original approach, termed Divide-and-Evolve is proposed to hybridize Evolutionary Algorithms (EAs) with Operational Research (OR) methods in the domain of Temporal Planning Problems (TPPs). Whereas standard Memetic Algorithms use local…

人工智能 · 计算机科学 2016-08-16 Marc Schoenauer , Pierre Savéant , Vincent Vidal

Data-driven reduced-order models based on autoencoders generally lack interpretability compared to classical methods such as the proper orthogonal decomposition. More interpretability can be gained by disentangling the latent variables and…

机器学习 · 计算机科学 2025-02-21 Henning Schwarz , Pyei Phyo Lin , Jens-Peter M. Zemke , Thomas Rung

The predictability of the atmosphere at short and long time scales, associated with the coupling to the ocean, is explored in a new version of the Modular Arbitrary-Order Ocean-Atmosphere Model (MAOOAM), based on a 2-layer quasi-geostrophic…

大气与海洋物理 · 物理学 2019-10-02 Stéphane Vannitsem , Roman Solé-Pomies , Lesley De Cruz

Graph coloring is a challenging combinatorial optimization problem with a wide range of applications. In this paper, a distribution evolutionary algorithm based on a population of probability model (DEA-PPM) is developed to address it…

神经与进化计算 · 计算机科学 2023-05-03 Yongjian Xu , Huabin Cheng , Ning Xu , Yu Chen , Chengwang Xie

An evolutionary algorithm (EA) is developed as an alternative to the EM algorithm for parameter estimation in model-based clustering. This EA facilitates a different search of the fitness landscape, i.e., the likelihood surface, utilizing…

统计计算 · 统计学 2020-06-09 Sharon M. McNicholas , Paul D. McNicholas , Daniel A. Ashlock

In this paper, we investigate the stochastic evolution equations (SEEs) driven by $\log$-Whittle-Mat$\acute{{\mathrm{e}}}$rn (W-M) random diffusion coefficient field and $Q$-Wiener multiplicative force noise. First, the well-posedness of…

数值分析 · 数学 2022-07-05 X. Qi , M. Azaiez , C. Huang , C. Xu

We consider the utilization of a computational model to guide the optimal acquisition of experimental data to inform the stochastic description of model input parameters. Our formulation is based on the recently developed consistent…

统计计算 · 统计学 2021-05-04 Scott N. Walsh , Tim M. Wildey , John D. Jakeman

Chaotic dynamical systems exhibit strong sensitivity to initial conditions and often contain unresolved multiscale processes, making deterministic forecasting fundamentally limited. Generative models offer an appealing alternative by…

机器学习 · 计算机科学 2026-01-01 Patrick Wyrod , Ashesh Chattopadhyay , Daniele Venturi

While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and their applicability over macroscopic time scales of physical…

机器学习 · 统计学 2016-09-08 P. S. Koutsourelakis , Elias Bilionis

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

统计方法学 · 统计学 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

Optimal Bayesian design techniques provide an estimate for the best parameters of an experiment in order to maximize the value of measurements prior to the actual collection of data. In other words, these techniques explore the space of…

计算物理 · 物理学 2020-08-11 Alexander Tarakanov , Ahmed H. Elsheikh

Two ocean models are considered for geophysical flow simulations: the multi-layer shallow water equations and the multi-layer primitive equations. For the former, we investigate the parallel performance of exponential time differencing…

大气与海洋物理 · 物理学 2021-10-04 Rihui Lan , Wei Leng , Zhu Wang , Lili Ju , Max Gunzburger

In recent years, many design automation methods have been developed to routinely create approximate implementations of circuits and programs that show excellent trade-offs between the quality of output and required resources. This paper…

神经与进化计算 · 计算机科学 2021-08-17 Lukas Sekanina

We present an initial implementation of a probabilistic PDE-constrained shape optimization algorithm. Our method is based on a novel probabilistic representation of the shape derivative, which is evaluated using Monte Carlo sampling; and…

最优化与控制 · 数学 2026-03-03 Stephan Schmidt , Maximilian Würschmidt

Earth System Models (ESMs) are the state of the art for projecting the effects of climate change. However, longstanding uncertainties in their ability to simulate regional and local precipitation extremes and related processes inhibit…

应用统计 · 统计学 2017-07-20 Evan Kodra , Singdhansu Chatterjee , Stone Chen , Auroop R. Ganguly