Linear time-varying models can reveal non-linear interactions of biomolecular regulatory networks using multiple time-series data

Linear time-varying models can reveal non-linear interactions of biomolecular regulatory networks using multiple time-series data

MOTIVATION Inherent non-linearities in biomolecular interactions make the identification of network interactions difficult. One of the principal problems is that all methods based on the use of linear time-invariant models will have fundamental limitations in their capability to infer certain non-linear network interactions. Another difficulty is the multiplicity of possible solutions, since, f...

Multiple window non-linear time-varying spectral analysis

A non-linear multi-window method for generating a time-varying spectrum of non-stationary signals in noise is presented. The timevarying spectrum is computed from an optimally weighted average of multiple Hermite windowed spectrograms. The weights are determined using linear least squares estimation with respect to a reference time-frequency distribution. A masking operation is also used to red...

Distributed lag linear and non-linear models for time series data

On the Approximation of Pseudo Linear Systems by Linear Time Varying Systems (RESEARCH NOTE)

This paper presents a modified method for approximating nonlinear systems by a sequence of linear time varying systems. The convergence proof is outlined and the potential of this methodology is discussed. Simulation results are used to show the effectiveness of the proposed method.

Synthesis of Linear Time-Varying Passive Networks

A state-space synthesis procedure is given for linear timevarying passive impedance matrices. The synthesis uses only passive components. I N THIS PAPER, we consider linear lumped finite networks composed of interconnections of time-variable and passive resistances, capacitances, inductances, gyrators, and transformers. The main problem considered is to pass from an input-output, or port, descr...