# Lecture Notes on Support Vector Machine Feng Li fli@sdu.edu.cn Shandong University, China ## 1 Hyperplane and Margin In a n-dimensional space, a hyper plane is defined by $$ \omega^{T}x+b=0 $$ ts/c/a/7/4/ca747b9d33d07aa393893fb3862bcd67/p2_1.jpg) Figure 1: Margin and hyperplane. ## 2 Support Vector Machine ### 2.1 Formulation The hyperplane actually serves as a decision boundary to differentiating shown in Fig. 2) such that $ y^{(i)}(\omega^{*T}x^{(i)}+b)=1 $ . These data samples are so-called support vector, i.e., the vectors “supporting” the margin boundaries. We can redefine $ \omega $ by $$

## Lecture 6: Support Vector Machine Feng Li Shandong University fli@sdu.edu.cn December 28, 2021 ## Outline  1 SVM: b > 0 means moving it parallelly along $ \omega $ (b < 0 means in opposite direction) ## Support Vector Machine • A hyperplane based linear classifier defined by $ \omega $ and b • Prediction 14_1.jpg)  ## Support Vector Machine (Primal Form) • Maximizing $ 1/\|\omega\| $ is equivalent to minimizing $ \|\

Shiro support for the Spring Security plugin ## Shiro support for the Spring Security plugin - Reference Documentation Authors: Burt Beckwith Version: 0.1 ## Table of Contents 1 Introduction 1.1 History History 2 Usage 3 Configuration ## 1 Introduction The Spring Security Shiro plugin adds some support for using a hybrid approach combining Spring Security and Shiro. It currently only supports Shiro

# Shiro support for the Spring Security plugin - Reference Documentation Authors: Burt Beckwith Version: 1.0.0 ## Table of Contents 1 Introduction to the Spring Security Shiro Plugin 1.1 History ## 1 Introduction to the Spring Security Shiro Plugin The Spring Security Shiro plugin adds some support for using a hybrid approach combining Spring Security and Shiro. It currently only supports Shiro

Language Support Version 5.3.36-SNAPSHOT ## Table of Contents 1. Kotlin ..... 1 1.1. Requirements ..... 1 1.2. Extensions ..... 1 1.3. Null-safety ..... 2 1.4. Classes and Interfaces ..... 3 1. Examples ..... 21 1.11.2. Issues ..... 21 2. Apache Groovy ..... 23 3. Dynamic Language Support ..... 24 3.1. A First Example ..... 24 3.2. Defining Beans that Are Backed by Dynamic Languages interoperability with existing libraries written in Java. The Spring Framework provides first-class support for Kotlin and lets developers write Kotlin applications almost as if the Spring Framework was a

Version 6.0.0-M2 Language Support ## Table of Contents 1. Kotlin ..... 1 1.1. Requirements ..... 1 1.2. Extensions ..... 1 1.3. Null-safety ..... 2 1.4. Classes and Interfaces ..... 3 1.5. 1. Examples ..... 21 1.11.2. Issues ..... 21 2. Apache Groovy ..... 23 3. Dynamic Language Support ..... 24 3.1. A First Example ..... 24 3.2. Defining Beans that Are Backed by Dynamic Languages interoperability with existing libraries written in Java. The Spring Framework provides first-class support for Kotlin and lets developers write Kotlin applications almost as if the Spring Framework was a

## +24 ## Beyond Compilation Databases to Support C++ Modules: Build Databases ## BEN BOECKEL ## Who am I? • 15 years working on build systems and software process • CMake developer ○ Designing and which use CMake ☐ C++ modules support • Working with the community to improve building software ☐ ISO standards ☐ Dependency format ☐ Pushing forward modules support in other build systems xmake bits needed to order compilations • Vendored into CMake for its Unix Makefiles generator • dyndep support added to ninja, merged into 1.10 (released Jan 2020) ## C++ Modules: Example Target add_library(A)

## Nim - the first high performance language with full support for hot codereloading at runtime by Viktor Kirilov ## Me, myself and I • my name is Viktor Kirilov - from Bulgaria • creator of doctest backed by Mozilla (although with a lot less...) • has a rich stdlib, package manager, docs, some IDE support ## Feature rundown • uniform call syntax (extension methods) - obj.method() OR method(obj) scope for the compiler • all the cutting-edge optimization for C/C++ for free • out-of-the-box support for tons of platforms • easiest C/C++ interop possible • exceptions - reusing those of C++ when

4675a43f03680f65da90f4d/p131_2.jpg) ### 16.9 Special characters It's possible to use any Unicode characters with &\# syntax or $ $ @startuml usecase foo as "this is ∞ long" %windir%/test1.txt !define PLANTUML_HOME /home/foo !include PLANTUML_HOME/test1.txt ## 20 Unicode The PlantUML language use letters to define actor, usecase and soon. But letters are not only A-Z Process(someBusinessProcess,"Some Business Process") Business_Service(itSupportService, "IT Support for Business (Application Service)") Application_DataObject(dataObject, "Web Page Data \n

31fc63f76d69ec9788bc2ba/p131_2.jpg) ### 16.9 Special characters It's possible to use any Unicode characters with &\# syntax or $ $ @startuml usecase foo as "this is ∞ long" @enduml  ## 20 Unicode The PlantUML language use letters to define actor, usecase and soon. But letters are not only A-Z Process(someBusinessProcess,"Some Business Process") Business_Service(itSupportService, "IT Support for Business (Application Service)") Application_DataObject(dataObject, "Web Page Data \n