44654033
Existence and uniqueness of solutionsto first-order multipoint boundary value problems
In this paper, we give existence and uniqueness results for solutions of multipoint boundary value problems of the form 
x'=f(t,x(t))+e(t),t∈(0,1),∑j=1mAjx(ηj)=0, 
where ƒ : [0,1] × Rn → Rn is a Caratheodory function, Ajs (j = 1, 2,, m) are constant square matrices of order n, 0 < η1 η2 << ηm−1, < ηm ⪯ 1, and e(t) ∈ L1([0,1], Rn). The existence of solutions is proven by the coincidence degree theory. As an application, we also give one example to demonstrate our results.
45821814
Positive solutions of a nonlinear four-point boundary value problems
In this paper, by using the Krasnoselskii's theorem in a cone, we study the existence of at least one or two positive solutions to the four-point boundary value problemy^''(t)+a(t)f(y(t))=0,00. As an application, we also give some examples to demonstrate our results.
45164309
Solvability of multi-point boundary value problem at resonance--Part IV
33459020
Note on third-order boundary value problem for differential equations with deviating arguments
A third-order boundary value problem for differential equations with deviating arguments is considered in this note. An existence result is obtained by the help of the well-known Leray-Schauder Alternative. Also, a uniqueness result is given.
205926081
Solvability of multi-point boundary value problem at resonance (III)
In this paper, we consider the following second order ordinary differential equation(1.1)x^'^'=f(t,x(t),x^'(t))+e(t),t@?(0,1),subject to one of the following boundary value conditions: (1.2)x(0)=@?"i"="1^m^-^2@a"ix(@x"i),x(1)=@?"j"="1^n^-^2@b"jx(@h"j),(1.3)x(0)=@?"i"="1^m^-^2@a"ix(@x"i),x^'(1)=@?"j"="1^n^-^2@b"jx^'(@h"j),(1.4)x^'(0)=@?"i"="1^m^-^2@a"ix^'(@x"i),x(1)=@?"j"="1^n^-^2@b"jx(@h"j),where @a"i(1=
32186791
A singular integral of the composite operator
We establish the Poincare-type inequalities for the composition of the homotopy operator and the projection operator. We also obtain some estimates for the integral of the composite operator with a singular density.
8590330
Opportunity map: identifying causes of failure - a deployed data mining system
In this paper, we report a deployed data mining application system for Motorola. Originally, its intended use was for identifying causes of cellular phone failures, but it has been found to be useful for many other engineering data sets as well. For this report, the case study is a dataset containing cellular phone call records. This data set is like any dataset used in classification applications, i.e., with a set of attributes which can be continuous or discrete, and a discrete class attribute. In our application, the classes are normally ended calls, calls which failed to setup, and calls which failed while in progress. However, the task is not to predict any failure, but to identify possible causes that resulted in failures. Then, engineering efforts may focus on improvements that can be made to the phones. In the course of the project, various classification techniques, e.g., decision trees, naïve Bayesian classification and SVM were tried. However, the results were unsatisfactory. After several demonstrations and interaction with domain experts, we finally designed and implemented an effective approach to perform the task. The final system is based on class association rules, general impressions and visualization. The system has been deployed and is in regular use at Motorola. In this paper, we first describe our experiences with some existing classification systems and discuss why they are not suitable for the task. We then present our techniques. As an illustration, we show several visualization screens in the case study, which reveal some important knowledge. Due to confidentiality, we will not give specifics but only present a general discussion about the results.
31577892
Demand flow network
This paper had brought up the conceptual model of demand flow network (DFN) on the basis of supply chains theories. The DFN model, DFN value model and DFN core competency model had also been established and analyzed separately in accordance with related theory. The application of DFN theory also had been studied
8786674
Entity discovery and assignment for opinion mining applications
Opinion mining became an important topic of study in recent years due to its wide range of applications. There are also many companies offering opinion mining services. One problem that has not been studied so far is the assignment of entities that have been talked about in each sentence. Let us use forum discussions about products as an example to make the problem concrete. In a typical discussion post, the author may give opinions on multiple products and also compare them. The issue is how to detect what products have been talked about in each sentence. If the sentence contains the product names, they need to be identified. We call this problem entity discovery. If the product names are not explicitly mentioned in the sentence but are implied due to the use of pronouns and language conventions, we need to infer the products. We call this problem entity assignment. These problems are important because without knowing what products each sentence talks about the opinion mined from the sentence is of little use. In this paper, we study these problems and propose two effective methods to solve the problems. Entity discovery is based on pattern discovery and entity assignment is based on mining of comparative sentences. Experimental results using a large number of forum posts demonstrate the effectiveness of the technique. Our system has also been successfully tested in a commercial setting.
17461408
Semantic Text Classification of Emergent Disease Reports
Traditional text classification studied in the information retrieval and machine learning literature is mainly based on topics. That is, each class represents a particular topic, e.g., sports and politics. However, many real-world problems require more refined classification based on some semantic perspectives. For example, in a set of sentences about a disease, some may report outbreaks of the disease, some may describe how to cure the disease, and yet some may discuss how to prevent the disease. To classify sentences at this semantic level, the traditional bag-of-words model is no longer sufficient. In this paper, we study semantic sentence classification of disease reporting. We show that both keywords and sentence semantic features are useful. Our results demonstrated that this integrated approach is highly effective.
44873280
Twi-Map Support Vector Machine for Multi-classification Problems
In this paper, a novel method called Twi-Map Support Vector Machines (TMSVM) for multi-classification problems is presented. Our ideas are as follows: Firstly, the training data set is mapped into a high-dimensional feature space. Secondly, we calculate the distances between the training data points and hyperplanes. Thirdly, we view the new vector consisting of the distances as new training data point. Finally, we map the new training data points into another high-dimensional feature space with the same kernel function and construct the optimal hyperplanes. In order to examine the training accuracy and the generalization performance of the proposed algorithm, One-against-One algorithm, Fuzzy Least Square Support Vector Machine (FLS-SVM) and the proposed algorithm are applied to five UCI data sets. Comparison results obtained by using three algorithms are given. The results show that the training accuracy and the testing one of the proposed algorithm are higher than those of One-against-One and FLS-SVM.