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Fractional-order stochastic gradient descent (FOSGD) leverages fractional exponents to capture long-memory effects in optimization. However, its utility is often limited by the difficulty of tuning and stabilizing these exponents. We…

机器学习 · 计算机科学 2025-05-09 Mohammad Partohaghighi , Roummel Marcia , YangQuan Chen

Presence of recurrent and statistically significant unstable periodic orbits (UPOs) in time series obtained from biological systems are now routinely used as evidence for low dimensional chaos . Extracting accurate dynamical information…

适应与自组织系统 · 物理学 2015-06-24 Nagender Mishra , Maria Hasse , B. Biswal , Harinder P. Singh

Fluid resuscitation, also called fluid therapy, is commonly used in treatment of critical care patients. Of the variables inherent to fluid therapy treatment, fluid infusion types are well-studied, but volumetric optimization is not.…

系统与控制 · 电气工程与系统科学 2023-12-12 Jacob Grant , Hossein Mirinejad

Conventional array designs based on circular fourth-order cumulant typically adopt a single expression form of the fourth-order difference co-array (FODCA), which limits the achievable degrees of freedom (DOFs) and neglects the impact of…

信号处理 · 电气工程与系统科学 2025-08-28 Si Wang , Guoqiang Xiao

This paper presents a novel and lightweight hyperparameter optimization (HPO) method, MOdular FActorial Design (MOFA). MOFA pursues several rounds of HPO, where each round alternates between exploration of hyperparameter space by factorial…

机器学习 · 计算机科学 2021-06-04 Bo Xiong , Yimin Huang , Hanrong Ye , Steffen Staab , Zhenguo Li

Training an effective deep learning model to learn ocean processes involves careful choices of various hyperparameters. We leverage the advanced search algorithms for multiobjective optimization in DeepHyper, a scalable hyperparameter…

This paper investigates the control of nonlinear systems using a piecewise linear approximation framework. The proposed approach combines a PID controller with locally linearized models obtained by partitioning the nonlinear function into…

最优化与控制 · 数学 2026-04-14 Robert Vrabel

The performance of modern machine learning algorithms depends upon the selection of a set of hyperparameters. Common examples of hyperparameters are learning rate and the number of layers in a dense neural network. Auto-ML is a branch of…

机器学习 · 计算机科学 2024-01-01 Joshua Inman , Tanmay Khandait , Giulia Pedrielli , Lalitha Sankar

Noise on near-term quantum devices will inevitably limit the performance of Quantum Approximate Optimization Algorithm (QAOA). One significant consequence is that the performance of QAOA may fail to monotonically improve with depth. In…

量子物理 · 物理学 2022-07-12 Yu Pan , Yifan Tong , Shibei Xue , Guofeng Zhang

The Horse Herd Optimization Algorithm (HOA) is a new meta-heuristic algorithm based on the behaviors of horses at different ages. The HOA was introduced recently to solve complex and high-dimensional problems. This paper proposes a binary…

机器学习 · 计算机科学 2023-11-30 Niloufar Mehrabi , Sayed Pedram Haeri Boroujeni , Elnaz Pashaei

The Quantum Approximate Optimization Algorithm (QAOA) is a powerful tool in solving various combinatorial problems such as Maximum Satisfiability and Maximum Cut. Hard computational problems, however, require deep circuits that place high…

量子物理 · 物理学 2025-10-28 Malick A. Gaye , Omar Shehab , Paraj Titum , Gregory Quiroz

A Caputo fractional-order mathematical model for the transmission dynamics of tuberculosis (TB) was recently proposed in [Math. Model. Nat. Phenom. 13 (2018), no. 1, Art. 9]. Here, a sensitivity analysis of that model is done, showing the…

最优化与控制 · 数学 2019-08-12 Silverio Rosa , Delfim F. M. Torres

We present an approach for solving optimal Dirichlet boundary control problems of nonlinear optics by using deep learning. For computing high resolution approximations of the solution to the nonlinear wave model, we propose higher order…

数值分析 · 数学 2023-12-27 Nils Margenberg , Franz X. Kärtner , Markus Bause

In this paper a new evolutionary algorithm, for continuous nonlinear optimization problems, is surveyed. This method is inspired by the life of a bird, called Cuckoo. The Cuckoo Optimization Algorithm (COA) is evaluated by using the…

神经与进化计算 · 计算机科学 2014-05-12 Elham Shadkam , Mehdi Bijari

Hardware security vulnerabilities in computing systems compromise the security defenses of not only the hardware but also the software running on it. Recent research has shown that hardware fuzzing is a promising technique to efficiently…

密码学与安全 · 计算机科学 2023-08-22 Chen Chen , Vasudev Gohil , Rahul Kande , Ahmad-Reza Sadeghi , Jeyavijayan Rajendran

Bayesian optimization (BO) based on Gaussian process regression (GPR) is applied to different CFD (computational fluid dynamics) problems which can be of practical relevance. The problems are i) shape optimization in a lid-driven cavity to…

流体动力学 · 物理学 2021-11-15 Y. Morita , S. Rezaeiravesh , N. Tabatabaei , R. Vinuesa , K. Fukagata , P. Schlatter

Computational Fluid Dynamics (CFD) is an important approach for analyzing flow phenomena and predicting engineering-relevant quantities. The governing physics is formulated as partial differential equations(PDEs) and solved numerically on…

流体动力学 · 物理学 2026-05-14 Yali Luo , Yiye Zou , Heng Zhang , Mingjie Zhang , Gang Wei , Jingyu Wang , Xiaogang Deng

We consider the problem of optimizing initial conditions and termination time in dynamical systems governed by unknown ordinary differential equations (ODEs), where evaluating different initial conditions is costly and the state's value can…

机器学习 · 计算机科学 2024-11-05 Jixiang Qing , Becky D Langdon , Robert M Lee , Behrang Shafei , Mark van der Wilk , Calvin Tsay , Ruth Misener

The fractional order grey models (FGM) have appealed considerable interest of research in recent years due to its higher effectiveness and flexibility than the conventional grey models and other prediction models. However, the definitions…

统计方法学 · 统计学 2019-07-08 Xin Ma , Wenqing Wu , Bo Zeng , Yong Wang , Xinxing Wu

This study proposes a one-shot data-driven tuning method for a fractional-order proportional-integral-derivative (FOPID) controller. The proposed method tunes the FOPID controller in the model-reference control formulation. A loss function…

系统与控制 · 电气工程与系统科学 2024-07-26 Ansei Yonezawa , Heisei Yonezawa , Shuichi Yahagi , Itsuro Kajiwara