Distance-Based Independence Screening for Canonical Analysis

This paper introduces a new method named Distance-based Independence Screening for Canonical Analysis (DISCA) to reduce dimensions of two random vectors with arbitrary dimensions. The objective of our method is to identify the low dimensional linear projections of two random vectors, such that any dimension reduction based on linear projection with lower dimensions will surely affect some dependent structure -- the removed components are not independent. The essence of DISCA is to use the distance correlation to eliminate the "redundant" dimensions until infeasible. Unlike the existing canonical analysis methods, DISCA does not require the dimensions of the reduced subspaces of the two random vectors to be equal, nor does it require certain distributional assumption on the random vectors. We show that under mild conditions, our approach does undercover the lowest possible linear dependency structures between two random vectors, and our conditions are weaker than some sufficient linear subspace-based methods. Numerically, DISCA is to solve a non-convex optimization problem. We formulate it as a difference-of-convex (DC) optimization problem, and then further adopt the alternating direction method of multipliers (ADMM) on the convex step of the DC algorithms to parallelize/accelerate the computation. Some sufficient linear subspace-based methods use potentially numerically-intensive bootstrap method to determine the dimensions of the reduced subspaces in advance; our method avoids this complexity. In simulations, we present cases that DISCA can solve effectively, while other methods cannot. In both the simulation studies and real data cases, when the other state-of-the-art dimension reduction methods are applicable, we observe that DISCA performs either comparably or better than most of them. Codes and an R package can be found in GitHub https://github.com/ChuanpingYu/DISCA

Connection between closeness of classical orbits and the factorization of radial Schr\"{o}dinger equation

It was shown that the Runge-Lenz vector for a hydrogen atom is equivalent to the raising and lowering operators derived from the factorization of radial Schr\"{o}dinger equation. Similar situation exists for an isotropic harmonic oscillator. It seems that there may exist intimate relation between the closeness of classical orbits and the factorization of radial Schr\"{o}dinger equation. Some discussion was made about the factorization of a 1D Schr\"{o}dinger equation.Comment: 14 pages, no figure

Adaptive Multiscale Weighted Permutation Entropy for Rolling Bearing Fault Diagnosis

© 2020 The Author(s). This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see https://creativecommons.org/licenses/by/4.0/.Bearing vibration signals contain non-linear and non-stationary features due to instantaneous variations in the operation of rotating machinery. It is important to characterize and analyze the complexity change of the bearing vibration signals so that bearing health conditions can be accurately identified. Entropy measures are non-linear indicators that are applicable to the time series complexity analysis for machine fault diagnosis. In this paper, an improved entropy measure, termed Adaptive Multiscale Weighted Permutation Entropy (AMWPE), is proposed. Then, a new rolling bearing fault diagnosis method is developed based on the AMWPE and multi-class SVM. For comparison, experimental bearing data are analyzed using the AMWPE, compared with the conventional entropy measures, where a multi-class SVM is adopted for fault type classification. Moreover, the robustness of different entropy measures is further studied for the analysis of noisy signals with various Signal-to-Noise Ratios (SNRs). The experimental results have demonstrated the effectiveness of the proposed method in fault diagnosis of rolling bearing under different fault types, severity degrees, and SNR levels.Peer reviewedFinal Accepted Versio

Signatures of Self-Interacting Dark Matter in the Matter Power Spectrum and the CMB

We consider a self-interacting dark matter model in which the massive dark photon mediating the self-interaction decays to light dark fermions to avoid over-closing the universe. We find that if the model is constrained to explain the dark matter halos inferred for spiral galaxies and galaxy clusters simultaneously, there is a strong indication that dark matter is produced asymmetrically in the early universe. It also implies the presence of dark radiation, late kinetic decoupling for dark matter, and a suppressed linear power spectrum due to dark acoustic damping. The Lyman-$\alpha$ forest power spectrum measurements put a strong upper limit on the damping scale and the model has little room to reduce the abundances of satellite galaxies. Future observations in the matter power spectrum and the CMB, in tandem with the impact of self-interactions in galactic halos, makes it possible to measure the gauge coupling and masses of the dark sector particles even when signals in conventional dark matter searches are absent.Comment: 5 pages, 7 figures, published version in PL

Pressor and Cardioaccelerator Responses to ATP and Lactic Acid in Type 1 Diabetic Rats

Skeletal muscle contraction produces metabolites which stimulate group III and IV muscle afferents and thereby evokes a reflexive increase in sympathetic activity, namely the metaboreflex. ATP and lactic acid are among these metabolites and both play a role in evoking an exaggerated exercise pressor reflex in cardiovascular related diseases. It is not known, however, if ATP and/or lactic acid evoke(s) an exaggerated metaboreflex in type 1 diabetes. PURPOSE: To determine the pressor and cardioaccelerator responses to intra-arterial injections of ATP and lactic into the hindlimb vasculature of type 1 diabetic rats. METHODS: We injected either Streptozotocin (STZ) or vehicle (CTL) into either sex rats and waited 1 week (STZ: n=11; female STZ: glucose=495±29 mg/dl, HbA1C=6.3±0.2%; male STZ: glucose=408±29 mg/dl, HbA1C=6.5±0.5%; CTL: n=13; female CTL: glucose=195±10 mg/dl, HbA1C=4.5±0.8%; male CTL: glucose=361±12 mg/dl, HbA1C=4.4±0.1%;) or 3 weeks (STZ: n=12; female STZ: glucose=503±37 mg/dl, HbA1C=9.2±0.6%; male STZ: glucose=436±26 mg/dl, HbA1C=10.7±0.2; CTL: n=8; female CTL: glucose=177±28 mg/dl, HbA1C=4.3±0.1%; male CTL: glucose=238±36 mg/dl, HbA1C=5.1±0.7%). On the day of the experiment, we cannulated one jugular vein for fluid delivery and both carotid arteries for blood pressure and heart rate measurement. We also cannulated the superior epigastric artery, which descends into the femoral artery, on the left hindlimb. A snare was placed around the left iliac artery and vein, and when the snare was on, circulation to the hindlimb was greatly reduced. Rats were decerebrated allowing anesthesia to be turned off. ATP (20µg/kg) or lactic acid (24mM) were injected into the arterial supply of the hindlimb with the snare on. Increases in blood pressure and heart rate were recorded. RESULTS: We found that 1wk after STZ injection both the cardioaccelerator and pressor responses evoked by lactic acid were significantly greater than those responses in control rats (STZ: ΔMAP= 30±5 mmHg, ΔHR= 11±3 bpm; CTL: ΔMAP= 18±3 mmHg, ΔHR= 3±2 bpm; p0.05). Conversely, we found that 3wks after STZ injection neither the pressor nor the cardioaccelerator responses evoked by lactic acid were significantly greater than those responses in control rats (p\u3e0.05). Additionally, the pressor but not the cardioaccelerator responses evoked by ATP were significantly greater in STZ rats than control rats (STZ: ΔMAP= 42±6 mmHg; CTL: ΔMAP= 27±5 mmHg, pCONCLUSION: We conclude that lactic acid plays a role in evoking an exaggerated metaboreflex in the initial phase of type 1 diabetes. As the disease progresses, however, lactic acid no longer contributes to an exaggerated metaboreflex, and ATP begins to play a role in evoking an exaggerated metaboreflex. These findings suggest that different mechanisms involved in evoking the exercise pressor reflex in type 1 diabetic patients may change over the course of the disease

ON THE CURRENT POPULAR LITERATURE OF CHINA

Article信州大学教育システム研究開発センター紀要 4: 61-66(1998)departmental bulletin pape

Lean implementations of software testing tools using XML representations of source codes

By utilizing XML representations of source programs under test, a new approach is proposed to concisely implement some prototypes for TACCLE, a software testing methodology. The conversions between a source program and its XML representation can be easily realized using existing conversion tools. In this way, the conversion tools can automatically analyze and parse the source program, so that testing tool developers only need to concentrate on the manipulation of the XML document. If appropriate XML DOM APIs are chosen, the implementations of such testing tools will be pretty lean. A detailed case study for GMPS tool, a prototype for the TACCLE methodology, is presented to illustrate the new approach. © 2008 IEEE.published_or_final_versionThis research is supported by the Jinan University Youth Foundation under Grant #51208035, Union Grant of Guangdong Province and National Natural Science Foundation of China under Grant #U0775001, and the Guangdong Province Science Foundation under Grant #7010116