Balanced truncation for model reduction of biological oscillators. [PDF]
AbstractModel reduction is a central problem in mathematical biology. Reduced order models enable modeling of a biological system at different levels of complexity and the quantitative analysis of its properties, like sensitivity to parameter variations and resilience to exogenous perturbations.
Padoan A, Forni F, Sepulchre R.
europepmc +6 more sources
Second-order balanced truncation
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Younes Chahlaoui, P Van Dooren
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Frequency interval balanced truncation of discrete-time bilinear systems
This paper presents the development of a new model reduction method for discrete-time bilinear systems based on the balanced truncation framework. In many model reduction applications, it is advantageous to analyze the characteristics of the system with ...
Ahmad Jazlan +3 more
doaj +2 more sources
Linear predictive coding electroencephalography algorithms predict mortality in Parkinson’s disease [PDF]
Background: Mortality is increased in Parkinson’s disease (PD) and is difficult to predict because of its heterogeneity and the availability of few reliable prognostic markers.
Simin Jamshidi +6 more
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Frequency-Limited Balanced Truncation with Low-Rank Approximations [PDF]
Summary: We investigate model order reduction of large-scale systems using frequency-limited balanced truncation, which restricts the well known balanced truncation framework to prescribed frequency regions. The main emphasis is put on the efficient numerical realization of this model reduction approach. We discuss numerical methods to take care of the
Jens Saak +2 more
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Time-Limited Balanced Truncation for Data Assimilation Problems
AbstractBalanced truncation is a well-established model order reduction method which has been applied to a variety of problems. Recently, a connection between linear Gaussian Bayesian inference problems and the system-theoretic concept of balanced truncation has been drawn (Qian et al in Sci Comput 91:29, 2022).
Mélina Freitag, Josie KÖNIG
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High fidelity adaptive mirror simulations with reduced order models [PDF]
In the design process of large adaptive mirrors numerical simulations represent the first step to evaluate the system design compliance in terms of performance, stability and robustness.
Bernadett Stadler +5 more
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Keyword-optimized template insertion for clinical note classification via prompt-based learning [PDF]
Background Prompt-based learning involves the additions of prompts (i.e., templates) to the input of pre-trained large language models (PLMs) to adapt them to specific tasks with minimal training.
Eugenia Alleva +5 more
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Optimized PID controller and model order reduction of reheated turbine for load frequency control using teaching learning-based optimization [PDF]
Load frequency control (LFC) systems in power grids face challenges in maintaining stability while managing computational complexity. This research presents an optimized approach combining model order reduction techniques with Teaching Learning-Based ...
Anurag Singh +4 more
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Balanced Truncation of $k$-Positive Systems [PDF]
This paper considers balanced truncation of discrete-time Hankel $k$-positive systems, characterized by Hankel matrices whose minors up to order $k$ are nonnegative. Our main result shows that if the truncated system has order $k$ or less, then it is Hankel totally positive ($\infty$-positive), meaning that it is a sum of first order lags.
Christian Grussler +2 more
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