Teach model to answer questions after comprehending the document

Multi-choice Machine Reading Comprehension (MRC) is a challenging extension of Natural Language Processing (NLP) that requires the ability to comprehend the semantics and logical relationships between entities in a given text. The MRC task has traditionally been viewed as a process of answering questions based on the given text. This single-stage approach has often led the network to concentrate on generating the correct answer, potentially neglecting the comprehension of the text itself. As a result, many prevalent models have faced challenges in performing well on this task when dealing with longer texts. In this paper, we propose a two-stage knowledge distillation method that teaches the model to better comprehend the document by dividing the MRC task into two separate stages. Our experimental results show that the student model, when equipped with our method, achieves significant improvements, demonstrating the effectiveness of our method

Existence and iteration of monotone positive solutions for third-order nonlocal BVPs involving integral conditions

This paper is concerned with the existence of monotone positive solution for the following third-order nonlocal boundary value problem $u^{\prime \prime \prime }\left(t\right) +f\left( t,u\left( t\right), u^{\prime}\left( t\right)\right) =0,\, 0<t<1$; $u\left( 0\right) =0,$ $au^{\prime}\left( 0\right)-b u^{\prime\prime}\left( 0\right)=\alpha[u],$ $c u^{\prime}\left( 1\right)+d u^{\prime\prime}\left( 1\right)=\beta[u],$ where $f\in C([0,1]\times R^{+}\times R^{+}, R^{+})$, $\alpha[u]=\int_{_{0}}^{1}u(t)dA(t)$ and $\beta[u]=\int_{_{0}}^{1}u(t)dB(t)$ are linear functionals on $C[0,1]$ given by Riemann-Stieltjes integrals. By applying monotone iterative techniques, we not only obtain the existence of monotone positive solution but also establish an iterative scheme for approximating the solution. An example is also included to illustrate the main results

Existence of solutions for a class of fourth-order m-point boundary value problems

Some existence criteria are established for a class of fourth-order $m$-point boundary value problem by using the upper and lower solution method and the Leray-Schauder continuation principle

RESEARCH ON ENTERPRISE CORE COMPETENCE AND MANAGERIAL HUMAN RESOURCE STRATEGY

This paper aims to introduce the meaning, components, dimensions and types of enterprise core competence. In addition, the framework of human resource strategy for managing enterprise core competence is also proposed. To identify enterprise core competence, and discuss the relationship between core competence and human resource strategy, methods of case study and documents analysis are also adopted. Key words: core competency, human resource, strateg

Multiple positive solutions for functional dynamic equations on time scales

AbstractIn this paper, we study the following functional dynamic equation on time scales: {[Φ(uΔ(t))]∇+a(t)f(u(t),u(μ(t)))=0,t∈(0,T)T,u(t)=φ(t),t∈[−r,0)T,u(0)−B0(uΔ(0))=0,uΔ(T)=0, where Φ:R→R is an increasing homeomorphism and a positive homomorphism and Φ(0)=0. By using the well-known Leggett–Williams fixed point theorem, existence criteria for multiple positive solutions are established. An example is also given to illustrate the main results