Bridging the Usability Gap: Theoretical and Methodological Advances for Spectral Learning of Hidden Markov Models

The Baum-Welch (B-W) algorithm is the most widely accepted method for inferring hidden Markov models (HMM). However, it is prone to getting stuck in local optima, and can be too slow for many real-time applications. Spectral learning of HMMs (SHMMs), based on the method of moments (MOM) has been proposed in the literature to overcome these obstacles. Despite its promises, asymptotic theory for SHMM has been elusive, and the long-run performance of SHMM can degrade due to unchecked propogation of error. In this paper, we (1) provide an asymptotic distribution for the approximate error of the likelihood estimated by SHMM, and (2) propose a novel algorithm called projected SHMM (PSHMM) that mitigates the problem of error propogation, and (3) develop online learning variantions of both SHMM and PSHMM that accommodate potential nonstationarity. We compare the performance of SHMM with PSHMM and estimation through the B-W algorithm on both simulated data and data from real world applications, and find that PSHMM not only retains the computational advantages of SHMM, but also provides more robust estimation and forecasting

Agreeableness, Extraversion, Stressor and Physiological Stress Response

Based on the theoretical analysis, with first-hand data collection and using multiple regression models, this study explored the relationship between agreeableness, extraversion, stressor and stress response and figured out interactive effect of agreeableness, extraversion, and stressor on stress response. We draw on the following conclusions: (1) the interaction term of stressor (work) and agreeableness can negatively predict physiological stress response; (2) the interaction term of stressor (health) and agreeableness can negatively predict physiological stress response; (3) the interaction term of stressor (family) and agreeableness can negatively predict physiological stress response; (4) the interaction term of stressor (social) and agreeableness can negatively predict physiological stress response; (5) the interaction term of stressor (work) and extraversion can negatively predict physiological stress response; (6) the interaction term of stressor (health) and extraversion can negatively predict physiological stress response; (7) the interaction term of stressor (family) and extraversion can negatively predict physiological stress response; (8) the interaction term of stressor (social) and extraversion can negatively predict physiological stress response

Second-order Band Topology in Antiferromagnetic (MnBi2_2Te4_4)(Bi2_2Te3_3)m_{m} Films

The existence of fractionally quantized topological corner states serves as a key indicator for two-dimensional second-order topological insulators (SOTIs), yet has not been experimentally observed in realistic materials. Here, based on first-principles calculations and symmetry arguments, we propose a strategy for achieving SOTI phases with in-gap corner states in (MnBi$_2$Te$_4$)(Bi$_2$Te$_3$)$_{m}$ films with antiferromagnetic (AFM) order. Starting from the prototypical AFM MnBi$_2$Te$_4$ bilayer, we show by an effective lattice model that such SOTI phase originate from the interplay between intrinsic spin-orbital coupling and interlayer AFM exchange interactions. Furthermore, we demonstrate that the nontrivial corner states are linked to rotation topological invariants under three-fold rotation symmetry $C_3$, resulting in $C_3$-symmetric SOTIs with corner charges fractionally quantized to $\frac{n}{3} \lvert e \rvert$ (mod $e$). Due to the great recent achievements in (MnBi$_2$Te$_4$)(Bi$_2$Te$_3$)$_{m}$ systems, our results providing reliable material candidates for experimentally accessible AFM higher-order band topology would draw intense attentions.Comment: 6 pages, 4 figure

Site-Specific Labeling of scVEGF with Fluorine-18 for Positron Emission Tomography Imaging

Vascular endothelial growth factor (VEGF) is one of the most important mediators of angiogenesis. Single-chain (sc)-VEGF protein containing an N-terminal Cys-tag has been designed for site-specific modification with a variety of imaging and therapeutic moieties. Site-specific labeling of scVEGF with thiol-reactive prosthetic group, N-[2-(4-18F-fluorobenzamido) ethyl] maleimide ([18F]FBEM) for positron emission tomography (PET) imaging of VEFGR may provide a new tracer which has great potential for clinical translation

Facile in situ solution synthesis of SnSe/rGO nanocomposites with enhanced thermoelectric performance

Constructing nanostructured composite architectures has been considered as an effective strategy to reduce the lattice thermal conductivity (κL) and enhance the dimensionless figure of merit (ZT) of thermoelectric materials. Herein, a series of SnSe/reduced graphene oxide (rGO)-x (x = 0.1, 0.3, 0.5, 0.7 wt%) nanocomposites are controllably synthesised in situ via a facile single-step bottom-up solution method, where rGO nanosheets are incorporated intimately into the SnSe matrix. Nanocompositing performs two key functions: (i) significantly reducing the lattice thermal conductivity of the material, which can be attributed to enhanced phonon scattering from high-density SnSe/rGO interfaces, and (ii) improving the electrical conductivity over the low temperature range, as result of an increased carrier concentration. The subsequent thermoelectric performance of SnSe/rGO sintered pellets has been optimised by tuning the rGO mass fraction, with SnSe/rGO-0.3 achieving κL = 0.36 W m−1 K−1 at 773 K (cutting the κL of SnSe by 33%) to yield a maximum ZT of 0.91 at 823 K (representing a ∼47% increase compared to SnSe). This study provides a new pathway to improve the thermoelectric performance of polycrystalline SnSe by way of engineering metal chalcogenide/rGO composite architectures at the nanoscale

Constraints on dark matter annihilation from the FAST observation of the Coma Berenices dwarf galaxy

The Galactic center $\gamma$-ray excess, detected by the Fermi-LAT, is a very attractive tentative signal from dark matter annihilation. Searching for associated synchrotron emissions could test the dark matter interpretation for this excess. We point the Five-hundred-meter Aperture Spherical radio Telescope towards Coma Berenices, a dwarf Spheroidal galaxy, for 2-hours of observation, and we find no significant continuum radio emission, which could be attributed to dark matter annihilation, from our target. We set very stringent annihilation cross-section constraints, with roughly an order of magnitude improvement over a large range of masses compared with previous radio searches. The dark matter scenario for the Galactic center $\gamma$-ray excess is in tension with the FAST observation for reasonable choices of astrophysical factors, including diffusion coefficient, diffusion radius and magnetic field. But with the combination of a small diffusion radius and a large diffusion coefficient, the $\mu^{+}\mu^{-}$ channel for the excess could still survive. Further radio observations by the FAST and other radio telescopes may reveal more about the dark matter properties.Comment: 9 pages, 4 figures, 1 table, submitted to PR

The Theory and Practice of Ageing Housing Transformation in China and Abroad: A Review

This paper investigates the theoretical research and practical exploration in housing the ageing in western developed countries and China after France first entered the ageing society. The subject of housing the ageing was reviewed using the methods of literature search and induction analysis. In terms of practical exploration, three basic models of ageing adaptation in developed countries were extracted: public welfare policy, nursing insurance system, and market economy. The objectives, objects, contents, advantages, and disadvantages of the transformation were analysed; the practical exploration and problems encountered in China's pilot cities for ageing adaptation were summarized. Through comparative analysis, it is proposed that we should learn from the advanced experience of western countries to avoid their shortcomings. It is also suggested that the transformation of the people, the content, and the processes to be adapted to suit the local conditions in China