Adaptive integral alternating minimization method for robust learning of nonlinear dynamical systems from highly corrupted data.

This paper proposes an adaptive integral alternating minimization method (AIAMM) for learning nonlinear dynamical systems using highly corrupted measured data. This approach selects and identifies the system directly from noisy data using the integral model, encompassing unknown sparse coefficients, initial values, and outlier noisy data within the learning problem. It is defined as a sparse robust linear regression problem. An adaptive threshold parameter selection method is proposed to constrain model fitting errors and select appropriate threshold parameters for sparsity. The robustness and accuracy of the proposed AIAMM are demonstrated through several numerical experiments on typical nonlinear dynamical systems, including the van der Pol oscillator, Mathieu oscillator, Lorenz system, and 5D self-exciting homopolar disc dynamo. The proposed method is also compared to several advanced methods for sparse recovery, with the results indicating that the AIAMM demonstrates superior performance in processing highly corrupted data.

[Real-Time Stability Monitoring of Photonic Crystal Sensing System Based on Guided-Mode Resonance Effect].

The detection limit of antibody content has reached level of nanograms per milliliter due to high sensitivity and extremely narrow band of photonic crystal (PC) filter. The PC filter based on guided-mode resonance (GIR) effect can also be applied to detecting the molecular interactions. As the transducing element, one-dimensional PC filters transform biological information to photoelectric signal on optical spectrum analyzer (OSA). The main sensing performance is the change of peak-wavelength of PC filter. The sensing system using PC filter is restricted to the system stability which determines the effectiveness of detecting data. So in this paper, a detecting system we designed is briefly addressed. The morphology and the spectrum of PC filter we fabricated are tested. Considering the coupling light loss and integration of the system, noise signal in spectrum is going to affect the detecting results. To monitor the influence, realization of real-time monitoring the changes of the peak wavelength of PC filter is mainly illustrated. The monitoring is realized by transferring detecting data to computer in time and the results can represent the stability of the system. The program is compiled by Lab VIEW. In our experiment, the shift of 0. 25 nm of the peak wavelength caused by vibration of platform or unsteadiness of light source is within the sensitivity of the PC filter obtained by simulation, so we proposed this system we mentioned can be used in sensing most kind of bulk reagents.

[The research of UV-responsive sensitivity enhancement of fluorescent coating films by MgF2 layer].

A low cost and less complicated expansion approach of wavelength responses with a Lumogen phosphor coating was adopted, as they increased the quantum efficiency of CCD and CMOS detectors in ultra-violet by absorbing UV light and then re emitting visible light. In this paper, the sensitivity enhancement of fluorescence coatings was studied by adding an anti-reflection film or barrier film to reduce the loss of the scattering and reflection on the incident interface. The Lumogen and MgF2/Lumogen film were deposited on quartz glasses by physical vacuum deposition. The surface morphology, transmittance spectrum, reflectance spectrum and fluorescence emission spectrum were obtained by atomic force microscope (AFM), spectrophotometer and fluorescence spectrometer, respectively. The results indicated that MgF2 film had obvious positive effect on reducing scattering and reflection loss in 500-700 nm, and enhancing the absorption of Lumogen coating in ultraviolet spectrum. Meanwhile, the fluorescent emission intensity had a substantial increase by smoothing the film surface and thus reducing the light scattering. At the same time, the MgF2 layer could protect Lumogen coating from damaging and contamination, which give a prolong lifetime of the UV-responsive CCD sensors with fluorescent coatings.