Li Shandong University fli@sdu.edu.cn December 28, 2021 Feng Li (SDU) SVM December 28, 2021 1 / 82 Outline 1 SVM: A Primal Form 2 Convex Optimization Review 3 The Lagrange Dual Problem of SVM 4 Soft-Margin SVM 6 Sequential Minimal Optimization (SMO) Algorithm Feng Li (SDU) SVM December 28, 2021 2 / 82 Hyperplane Separates a n-dimensional space into two half-spaces Defined by an outward pointing normal moving it parallely along ω (b < 0 means in opposite direction) Feng Li (SDU) SVM December 28, 2021 3 / 82 Support Vector Machine A hyperplane based linear classifier defined by ω and b Prediction rule:

input/5d41d82f52247ce73d40475b.mp4 -vf ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 -vf "pad=width=640:height=360:x=0:y=40:color=black" "pad=width=640:height=360:x=0:y=40:color=black" output/5d41d82f522 output/5d41d82f52247ce73d40475b_afterPad.mp4 output/5d41d82f52247ce73d40475b_afterPad.mp4 ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 -vf ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 -vf "pad=width=640:height=400: " output/5d41d82f52247ce73d40475b_afterPad_191610.mp4 output/5d41d82f52247ce73d40475b_afterPad_191610.mp4 ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 -vf ffmpeg -i input/5d41d82f52247ce73d40475b

前面折腾期间的命令记录，包括出错的命令： ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 - vf "pad=width=640:height=360:x=0:y=40:color=black" output/5d41d82f52247ce73d40475b_a fterPad.mp4 ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 - vf lor=black" output/5d41d82f52247ce73d40475b_ afterPad_191610.mp4 ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 - vf "pad=width=0:height=400:x=0:y=360:color=black" output/5d41d82f52247ce73d40475b_af terPad_autoWidth ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 - vf "pad=width=0:height=400:x=0:y=360:color=0x00" output/5d41d82f52247ce73d40475b_aft erPad_autoWidth_transparent.mp4 ffmpeg -i input/5d41d82f52247ce73d40475b

input/5d41d82f52247ce73d40475b.mp4 -vf ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 -vf "pad=width "pad=width ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 -vf ffmpeg -i input/5d41d82f52247ce73d40475b input/5d41d82f52247ce73d40475b.mp4 -vf ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 -vf "pad=width "pad=width ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 -vf ffmpeg -i input/5d41d82f52247ce73d40475b input/5d41d82f52247ce73d40475b.mp4 -vf ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 -vf "pad=width "pad=width ffmpeg -i input/5d41d82f52247ce73d40475b.mp4 -vf ffmpeg -i input/5d41d82f52247ce73d40475b

settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 4.27 Developer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Type string 80 Chapter 4. Configuration phpMyAdmin Documentation, Release 5.1.4 Default value ‘82%’ Deprecated since version 5.0.0: This setting was removed as the browser is more efficient, thus $cfg['Console']['StartHistory'] Type boolean Default value false Show query history at start 82 Chapter 4. Configuration phpMyAdmin Documentation, Release 5.1.4 $cfg['Console']['AlwaysExpand']

settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 4.27 Developer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Type string 80 Chapter 4. Configuration phpMyAdmin Documentation, Release 5.1.4 Default value ‘82%’ Deprecated since version 5.0.0: This setting was removed as the browser is more efficient, thus $cfg['Console']['StartHistory'] Type boolean Default value false Show query history at start 82 Chapter 4. Configuration phpMyAdmin Documentation, Release 5.1.4 $cfg['Console']['AlwaysExpand']

settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 4.27 Developer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Type string 80 Chapter 4. Configuration phpMyAdmin Documentation, Release 5.2.0 Default value ‘82%’ Deprecated since version 5.0.0: This setting was removed as the browser is more efficient, thus $cfg['Console']['StartHistory'] Type boolean Default value false Show query history at start 82 Chapter 4. Configuration phpMyAdmin Documentation, Release 5.2.0 $cfg['Console']['AlwaysExpand']

R_PPC_GOT_TLSGD16_LO R_PPC = 80 R_PPC_GOT_TLSGD16_HI R_PPC = 81 R_PPC_GOT_TLSGD16_HA R_PPC = 82 R_PPC_GOT_TLSLD16 R_PPC = 83 R_PPC_GOT_TLSLD16_LO R_PPC = 84 R_PPC_GOT_TLSLD16_HI Castagnoli = 0x82f63b78 // Koopman's polynomial. // Also has better error detection characteristics than IEEE. // http://dx.doi.org/10.1109/DSN.2002.1028931 Koopman = 0xeb31d82e ) Predefined Errno(0x6) EOPNOTSUPP = Errno(0x5f) EOVERFLOW = Errno(0x4b) EOWNERDEAD = Errno(0x82) EPERM = Errno(0x1) EPFNOSUPPORT = Errno(0x60) EPIPE = Errno(0x20)

– Plugin instance that is being rendered. • placeholder – Name of the placeholder the plugin is in. 82 Chapter 4. Extending the CMS django cms Documentation, Release 2.4.3-support Return type dict 4.4 96 Chapter 6. Contributing to django CMS Python Module Index c cms.api, 79 cms.constants, 82 cms.plugin_base, 82 m menus.base, 83 97 django cms Documentation, Release 2.4.3-support 98 Python Module Index CMSPluginBase at- tribute), 82 approve_page() (in module cms.api), 81 assign_user_to_page() (in module cms.api), 81 C change_form_template (cms.plugin_base.CMSPluginBase attribute), 82 cms.api (module), 79 cms