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This paper applies the Thomas decomposition technique to nonlinear control systems, in particular to the study of the dependence of the system behavior on parameters. Thomas' algorithm is a symbolic method which splits a given system of…

最优化与控制 · 数学 2020-01-24 Markus Lange-Hegermann , Daniel Robertz

Machine Learning surrogates have been developed to accelerate solving systems dynamics of complex processes in different science and engineering applications. To faithfully capture governing systems dynamics, these methods rely on large…

机器学习 · 计算机科学 2025-07-01 Amir Hossein Rahmati , Nathan M. Urban , Byung-Jun Yoon , Xiaoning Qian

By exploiting the superiority of non-orthogonal multiple access (NOMA), NOMA-aided mobile edge computing (MEC) can provide scalable and low-latency computing services for the Internet of Things. However, given the prevalent stochasticity of…

信息论 · 计算机科学 2021-07-01 Meihui Hua , Hui Tian , Xinchen Lyu , Wanli Ni , Gaofeng Nie

Incorporating additional sensory modalities such as tactile and audio into foundational robotic models poses significant challenges due to the curse of dimensionality. This work addresses this issue through modality selection. We propose a…

机器人学 · 计算机科学 2025-04-22 Jiawei Jiang , Kei Ota , Devesh K. Jha , Asako Kanezaki

The objective of this contribution is to compare two methods proposed recently in order to build efficient reduced-order models for geometrically nonlinear structures. The first method relies on the normal form theory that allows one to…

数值分析 · 数学 2022-02-22 Alessandra Vizzaccaro , Loïc Salles , Cyril Touzé

The reliable operation of automatic systems is heavily dependent on the ability to detect faults in the underlying dynamical system. While traditional model-based methods have been widely used for fault detection, data-driven approaches…

机器学习 · 统计学 2023-06-27 Zachary Morrison , Benjamin P. Russo , Yingzhao Lian , Rushikesh Kamalapurkar

Methods for sequential decision-making are often built upon a foundational assumption that the underlying decision process is stationary. This limits the application of such methods because real-world problems are often subject to changes…

Ordinary differential equations (ODEs) are used to model dynamic systems appearing in engineering, physics, biomedical sciences and many other fields. These equations contain unknown parameters, say $\theta$ of physical significance which…

统计理论 · 数学 2014-03-05 Prithwish Bhaumik , Subhashis Ghosal

Dynamic Mode Decomposition (DMD) is a data-driven technique to identify a low dimensional linear time invariant dynamics underlying high-dimensional data. For systems in which such underlying low-dimensional dynamics is time-varying, a…

信号处理 · 电气工程与系统科学 2020-04-09 Mustaffa Alfatlawi , Vaibhav Srivastava

Human microbiome studies use sequencing technologies to measure the abundance of bacterial species or Operational Taxonomic Units (OTUs) in samples of biological material. Typically the data are organized in contingency tables with OTU…

统计方法学 · 统计学 2017-03-27 Boyu Ren , Sergio Bacallado , Stefano Favaro , Susan Holmes , Lorenzo Trippa

The scientific computation methods development in conjunction with artificial intelligence technologies remains a hot research topic. Finding a balance between lightweight and accurate computations is a solid foundation for this direction.…

机器学习 · 计算机科学 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

A method for studying the qualitative dynamical properties of abstract computing machines based on the approximation of their program-size complexity using a general lossless compression algorithm is presented. It is shown that the…

计算复杂性 · 计算机科学 2011-01-24 Hector Zenil

Compared to real-valued signals, complex-valued signals provide a unique and intuitive representation of the phase of real physical systems and processes, which holds fundamental significance and is widely applied across many fields of…

信号处理 · 电气工程与系统科学 2025-11-04 Wang Hao , Kuang Zhang , Hou Chengyu , Tan Chenxing , Cui Weiming , Fu Weifeng , Yao Xinran

Living organisms maintain stable functioning amid environmental fluctuations through homeostasis, a property that preserves a system's behavior despite changes in environmental conditions. To elucidate homeostasis in stochastic biochemical…

系统与控制 · 电气工程与系统科学 2025-08-11 Akito Igarashi , Yutaka Hori

Since the signal with strong power should be demodulated first for successive interference cancellation (SIC) demodulation in non-orthogonal multiple access (NOMA) systems, the base station (BS) should inform the near user terminal (UT),…

信号处理 · 电气工程与系统科学 2020-10-19 Wenwu Xie , Jian Xiao , Jinxia Yang , Xin Peng , Chao Yu , Peng Zhu

In climate studies, detecting spatial patterns that largely deviate from the sample mean still remains a statistical challenge. Although a Principal Component Analysis (PCA), or equivalently a Empirical Orthogonal Functions (EOF)…

统计理论 · 数学 2020-01-29 Alberto Bernacchia , Philippe Naveau

In the context of multicriteria decision making, the ordered weighted averaging (OWA) functions play a crucial role in aggregating multiple criteria evaluations into an overall assessment supporting the decision makers' choice. Determining…

人工智能 · 计算机科学 2018-04-19 Thuy Hong Nguyen

We propose a Bayesian approach to estimating parameters in multiclass functional models. Unordered multinomial probit, ordered multinomial probit and multinomial logistic models are considered. We use finite random series priors based on a…

统计方法学 · 统计学 2018-08-03 Xiuqi Li , Subhashis Ghosal

In industrial systems, certain process variables that need to be monitored for detecting faults are often difficult or impossible to measure. Soft sensor techniques are widely used to estimate such difficult-to-measure process variables…

信号处理 · 电气工程与系统科学 2019-02-26 Shun Takeuchi , Takuya Nishino , Takahiro Saito , Isamu Watanabe

AI agents increasingly execute procedural workflows as sequential action traces, which obscures latent concurrency and induces repeated step-by-step reasoning. We introduce BPOP, a Bayesianframework that infers a latent dependency partial…

应用统计 · 统计学 2026-05-26 Dongqing Li , Zheqiao Cheng , Geoff K. Nicholls , Quyu Kong