Semantic Graph Representation Learning for Handwritten Mathematical Expression Recognition

Handwritten mathematical expression recognition (HMER) has attracted extensive attention recently. However, current methods cannot explicitly study the interactions between different symbols, which may fail when faced similar symbols. To alleviate this issue, we propose a simple but efficient method to enhance semantic interaction learning (SIL). Specifically, we firstly construct a semantic graph based on the statistical symbol co-occurrence probabilities. Then we design a semantic aware module (SAM), which projects the visual and classification feature into semantic space. The cosine distance between different projected vectors indicates the correlation between symbols. And jointly optimizing HMER and SIL can explicitly enhances the model's understanding of symbol relationships. In addition, SAM can be easily plugged into existing attention-based models for HMER and consistently bring improvement. Extensive experiments on public benchmark datasets demonstrate that our proposed module can effectively enhance the recognition performance. Our method achieves better recognition performance than prior arts on both CROHME and HME100K datasets.Comment: 12 Page

Global Mittag-Leffler stability of Caputo fractional-order fuzzy inertial neural networks with delay

This paper deals with the global Mittag-Leffler stability (GMLS) of Caputo fractional-order fuzzy inertial neural networks with time delay (CFOFINND). Based on Lyapunov stability theory and global fractional Halanay inequalities, the existence of unique equilibrium point and GMLS of CFOFINND have been established. A numerical example is given to illustrate the effectiveness of our results

Distribution characteristics and formation mechanism of fluoride in typical mine water in Shendong Mining Area

Shendong mining area is located in the north of Shaanxi Province and the south of Ordos City, Inner Mongolia, with dry climate, sparse precipitation and water resources scarcity. A large amount of mine water produced in the process of coal mining is an important source of production and living water. However, the concentrations of fluoride in mine water in different regions of Shendong mining areas present significant differences, while the concentration is relatively high in some areas. Therefore, the distribution characteristics and genesis of high fluoride mine water was analyzed in this study, which was of great significance for the resource reuse of mine water. Based on the analysis results of 58 groups of mine water quality at different regions in the Shendong mining area, research methods such as mathematical statistics, piper three-line diagram, gibbs diagram, SI simulation, etc. were used. Meanwhile, XRF analysis was conducted on rock cores and coal seam roof rocks collected from different areas to explore the spatiotemporal distribution characteristics and formation mechanism of fluorine in mine water at different burial depths in the northeastern and central mining areas. The results showed that the concentration of F- in mine water varied from 0.3 to 13.7 mg/L, with an average value of 4.3 mg/L. The pH value of mine water with higher F- concentration was alkaline. In the horizontal direction, the F- concentration in mine water was higher in the north and southwest of Shendong mining area, while it presented lower in the southeast. The fluorine concentration presented an increasing tendency with the enhancement of mining depth in the vertical direction. The F- concentration of mine water replenished by groundwater in different depths of Yan'an Formation aquifer varied greatly. The lower F- concentration was observed in the Yan'an Formation aquifer with a depth of 80-130 meters , whereas the relatively higher value was shown at the 200-500 meters depth. The trend of fluorine concentration in mine water is not obvious with the changes in the season The XRF analysis of fluorinated minerals in rock samples from the Yan'an Group indicated that the contents of fluorinated minerals in the northern and western central mining areas were relatively higher compared with that in the eastern central mining area. The high F- concentration in mine water had a certain relationship with the hydro-chemical environment. Evaporation and concentration process, cation alternately adsorption, and mineral dissolution caused by water-rock interaction led to the enrichment of F- in groundwater

Effect of Lipopolysaccharide (LPS) and Outer Membrane Protein (OMP) Vaccines on Protection of Grass Carp (Ctenopharyngodon idella) against Aeromonas hydrophila

Abstract The gram-negative bacterium, Aeromonas hydrophila, causes high mortality and economic losses to the aquaculture industry. We investigated whether lipopolysaccharide (LPS) or outer membrane proteins (OMP) from A. hydrophila can enhance specific and/or non-specific immunity in grass carp (Ctenopharyngodon idella). Fish were injected intraperitoneally with LPS, OMP, or formalin-killed cells (FKC) from A. hydrophila. The control group was injected with phosphate buffered saline (PBS). All three antigens elicited strong immune responses. Respiratory burst and phagocytic activities in head kidney leukocytes and serum lysozyme activity peaked on day 21 after vaccination. Heavy chain gene transcription of immunoglobulin M and Z in the head kidney in vaccinated fish peaked on day 28. Relative percent survival was 83.3%, 72.2%, and 55.6% in the LPS, OMP, and FKC groups, respectively, but only 10% in control fish. Results suggest that LPS and OMP isolated from A. hydrophila can enhance specific immunity, non-specific immunity, and protection against A. hydrophila in fish. Thus, LPS and OMP could be important antigens for development of vaccines to control diseases caused by A. hydrophila in grass carp and other aquatic animals

A note on “Generalized fuzzy rough approximation operators based on fuzzy coverings”

AbstractIn this note, we show by examples that Theorem 5.3, partial proof of Theorem 5.3′, Lemma 5.4 and Remark 5.2 in [1] contain slight flaws and then provide the correct versions

Effect of Lipopolysaccharide (LPS) and Outer Membrane Protein (OMP) Vaccines on Protection of Grass Carp (Ctenopharyngodon idella) against Aeromonas hydrophila

The gram-negative bacterium, Aeromonas hydrophila, causes high mortality and economic losses to the aquaculture industry. We investigated whether lipopolysaccharide (LPS) or outer membrane proteins (OMP) from A. hydrophila can enhance specific and/or non-specific immunity in grass carp (Ctenopharyngodon idella). Fish were injected intraperitoneally with LPS, OMP, or formalin-killed cells (FKC) from A. hydrophila. The control group was injected with phosphate buffered saline (PBS). All three antigens elicited strong immune responses. Respiratory burst and phagocytic activities in head kidney leukocytes and serum lysozyme activity peaked on day 21 after vaccination. Heavy chain gene transcription of immunoglobulin M and Z in the head kidney in vaccinated fish peaked on day 28. Relative percent survival was 83.3%, 72.2%, and 55.6% in the LPS, OMP, and FKC groups, respectively, but only 10% in control fish. Results suggest that LPS and OMP isolated from A. hydrophila can enhance specific immunity, non-specific immunity, and protection against A. hydrophila in fish. Thus, LPS and OMP could be important antigens for development of vaccines to control diseases caused by A. hydrophila in grass carp and other aquatic animals

Power-Splitting Scheme for Nonlinear Energy Harvesting AF Relaying with Direct Link

Simultaneous wireless information and power transfer (SWIPT) is a promising technique to prolong the lifetime of energy-constrained relay systems. Most previous works optimize power-splitting (PS) scheme based on a linear or a simple two-piecewise linear energy harvesting (EH) model, while the employed EH model may not characterize the properties of practical EH harvesters well. This leads to a mismatch between the existing PS scheme and the practical EH harvester available for relay systems. Motivated by this, this paper is devoted to the design of PS scheme in a nonlinear EH amplify-and-forward energy-constrained relay system in the presence of a direct link between the source and the destination. In particular, we formulate an optimization problem to maximize the system capacity according to the instantaneous channel state information, subject to a nonlinear EH model based on the logistic function. The objective function of the formulated problem is proven to be unimodal and there is no closed-form expression for the optimal PS ratio due to the complexity of logistic function. In order to reduce overhead cost of optimizing PS ratio, a simpler nonlinear EH model based on the inverse proportional function is employed to replace the nonlinear EH model based on the logistic function and we further derive the closed-form expression for the optimal PS ratio. Simulation results reveal that a higher system capacity can be achieved when the PS scheme is optimized based on nonlinear EH models instead of the linear EH model, and that there is only a marginal difference between the capacity under the two optimal PS schemes optimized for two different nonlinear EH models