Pascal-Interpolation-Based Noninteger Delay Filter and Low-Complexity Realization [PDF]
This paper proposes a new method for designing the polynomial-interpolation-type noninteger-delay filter with a new structure formulation. Since the design formulation and the new realization structure are based on the discrete Pascal transform (DPT) and
P. Soontornwong, S. Chivapreecha
doaj
Balanced state-space representations: a polynomial algebraic approach
We show how to compute a minimal Riccati-balanced state map and a minimal Riccati-balanced state space representation starting from an image representation of a strictly dissipative system.
Rapisarda, Paolo, Trentelman, Harry L.
core
Polynomial Multiplication over Finite Fields Using Field Extensions and Interpolation
A method for polynomial multiplication over finite fields using field extensions and polynomial interpolation is introduced. The proposed method uses polynomial interpolation as Toom-Cook method together with field extensions.
Özbudak, Ferruh +5 more
core +1 more source
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley +1 more source
Comparison of Two Interpolation Methods for Resampling Center of Mass Velocity Data [PDF]
Data interpolation methods are highly useful for estimating missing values. Another usage of these methods is resampling the measured data. In the field of biomechanics sometimes researchers have to deal problems related to data acquisition rate or ...
Uğur Ödek
doaj
Application of polynomial tensor interpolation for technical tests
The main aim of this paper is a new formula of tensor interpolation by the polynomial of two variables. The formulas for interpolating polynomial coefficients are obtained using the Kronecker tensor product of matrices.
Biernat, Grzegorz +2 more
core
Harnessing Machine Learning to Understand and Design Disordered Solids
This review maps the dynamic evolution of machine learning in disordered solids, from structural representations to generative modeling. It explores how deep learning and model explainability transform property prediction into profound physical insight.
Muchen Wang, Yue Fan
wiley +1 more source
On the trivariate polynomial interpolation
This paper is concerned with the formulae for computing the coefficients of the trivariate polynomial interpolation (TPI) passing through (m +1)(n +1)(r +1) distinct points in the solid rectangular region. The TPI is formulated as a matrix equation using
ŞAFAK, SÜLEYMAN
core
An Autonomous Large Language Model‐Agent Framework for Transparent and Local Time Series Forecasting
Architecture of the proposed large language model (LLM)‐based agent framework for autonomous time series forecasting in thermal power generation systems. The framework operates through a vertical pipeline initiated by natural language queries from users, which are processed by the LLM Agent Core powered by Llama.cpp and a ReAct loop with persistent ...
William Gouvêa Buratto +5 more
wiley +1 more source
On the interpolation in linear normed spaces using multiple nodes
In the papers [2], [3], [4], [6], [7] we indicated a method of extending the notion of interpolation polynomial for the case of a non-linear mapping \(f : X \to Y\) where \(X\) and \(Y\) are linear spaces with special structures.
Adrian Diaconu
doaj +2 more sources

