# 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

Easier AOP XML configuration.....23 2.3.2. Support for @AspectJ aspects.....23 2.3.3. Support for bean name pointcut element.....23 2.3.4. Support for AspectJ load-time weaving.....23 2.4. The configuration of declarative transactions in XML.....23 2.4.2. Full WebSphere transaction management support.....23 2.4.3. JPA.....24 2.4.4. Asynchronous JMS.....24 2.4.5. JDBC.....24 2.5. The Web Tier Tiles 2 support.....25 2.5.6. JSF 1.2 support.....26 2.5.7. JAX-WS support.....26 2.6. Everything else.....26 2.6.1. Dynamic languages support.....26 2.6.2. Enhanced testing support.....26

2.1 Using the object-oriented web service (OOWS) 29 2.1.1 The object-oriented web service for JAX-WS 29 2.1.2 The object-oriented web service for Python 31 2.1.3 The object-oriented web service Incompatible API changes with version 2.1 ..... 441 ## 1 Introduction VirtualBox comes with comprehensive support for third-party developers. This Software Development Kit (SDK) contains all the documentation and |---|---| |Pro: Easy to use with Java and Python with the object-oriented web service; extensive support even with other languages (C++, .NET, PHP, Perl and others)|Con: Usable from languages where COM