Labeled LDA
LDA Seeded LDA
K
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D
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N
d
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r
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r
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s
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x
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z
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w
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g
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b
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K
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D
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N
d
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z
<latexit sha1_base64="wVRBTc5BpSIugg7PEEaKsc4QVFc=">AAACa3icZZHLTsJAFIZP6w3rDWSnLoxg4ooUNHFLZOOGBBO5JEDIdHoog9MOmZkSasObuNV38iF8B1skJtB/9ec7c+ac+ceZcaa0bX8b5s7u3v5B7tA6Oj45PcsXzjtKhJJimwouZM8hCjkLsK2Z5tibSSS+w7HrvDXSeneOUjERvOpohkOfeAEbM0p0gkb5fDxwBHd9oidW+b1sLUf5kl2xV7rOmuralGCt1qhgNAauoKGPgaacKNUnD9NhPCVSM8pxaQ1ChTNC34iH8WrhTUR8lU5PoEJNRRholHGTLJpES7ZIXqCWcc3O9KjIdzJQT/xNlt5MnEUWSjVWWeoKvUUd5rFgBfUEhcRkRsQxdnHMApZGuLUD94RkmTX+MaMbhT7hfBgvoqWVxF7dDjlrOrVK9b5Se6mV6k/rD8jBJdzAHVThEerwDC1oA4U5fMAnfBk/ZtG8MK/+jprGuqcIGzJvfwGknMDc</latexit>
w
<latexit sha1_base64="hM2iKVi2CpspvbIwLHiK8oUrixo=">AAACa3icZZHLTsJAFIan9Yb1BrJTF0YwcUXaauKWyMYNCSZySYCQ6XAog9NOMzPFNg1v4lbfyYfwHWyxMYH+qz/fmTPnzD9OwKhUpvmt6Tu7e/sHpUPj6Pjk9KxcOe9JHgoCXcIZFwMHS2DUh66iisEgEIA9h0HfeWtl9f4ShKTcf1VxAGMPuz6dUYJViiblcjJyOJt6WM2N+nvdWE3KNbNhrnVdNFZuaihXZ1LRWqMpJ6EHviIMSznED4txssBCUcJgZYxCCQEmb9iFZL3wJsKezKanUIIiPPQViKSNozZWgkbpC+Qqsc1Cj4w9pwDV3Ntk2c3YiYpQyJks0ilXW9ShLvXXUM2BC0hnxAySKcyoT7MIt3ZgLhe0sMY/pmSjMMSMjZMoXhlp7NZ2yEXTsxvWfcN+sWvNp/wDSugS3aA7ZKFH1ETPqIO6iKAl+kCf6Ev70av6hX71d1TX8p4q2pB++wuescDZ</latexit>
<latexit sha1_base64="II4UsidxWlZDzwIDEKIvj8XGVLs=">AAACcHicZZHLTgIxFIbLeMPxBhoTExdeYGFckJnRxC2RjRsSTOSSMIS05QCFznTSFjOk4WHc6hP5Gj6BAxKTYf7VyXd6ev7+JRFnSjvOd87a2t7Z3cvv2weHR8cnheJpS4mZpNCkggvZIVgBZyE0NdMcOpEEHBAObTKtLfvtd5CKifBNzyPoBXgUsiGjWCeoXzg3PhF8EGA9tsu+HoPGZXvRL5ScirPSdbZw10UJrdXoF3M1fyDoLIBQU46V6uLHSc9MsNSMcljY/kxBhOkUj8CsXKcRDtTSQgIVaCpmoQZp6jiuYy1ZnDxDLYznZGbUPCAZqMdBmi1vxiTOQqmGKksHQm9QwkYsXMEkICEh2THnYAYwZCFb5rjhgY+EZBkb/5jRVKOLOe+ZeL6wk9jdzZCzRcuruA8V79UrVZ/XH5BHl+gW3SEXPaEqekEN1EQUGfSBPtFX7se6sK6sm7+jVm49c4ZSsu5/AV60wwY=</latexit>
<latexit sha1_base64="Y/3JhWVR6voQq+MIoGsFG5yuPOg=">AAACbnicZZHLTsJAFIan9Yb1BpK4MUYjLFiRFk3cEtm4IcFELgklZDo9lIFpp5kZTJuGZ3Grj+Rb+Ai2SExK/9XJd+bM+ecfJ2RUKtP81vS9/YPDo9KxcXJ6dn5RrlwOJF8JAn3CGRcjB0tgNIC+oorBKBSAfYfB0Fl2sv7wHYSkPHhTcQgTH3sBnVGCVYqm5WpiO5y5PlZzo26DwnVjPS3XzKa50V2xsLZFDW3Vm1a0ju1ysvIhUIRhKcf4cTFJFlgoShisDXslIcRkiT1INp7zCPsyM5BCCYrwVaBAJF0cdbESNEofIddJyyzMyNh3ClDN/TzLbsZOVIRCzmSRulztUId6NNhANQcuIN0RM0hcmNGAZinueGAeF7Rg4x9TkmuMMWOTJIrXRhq7tRtysRi0mtZDs/XaqrWftx9QQtfoHjWQhZ5QG72gHuojgmL0gT7Rl/ajX+k3+u3fUV3bzlRRTnrjF1UGwhY=</latexit>
<latexit sha1_base64="IwThYXztQzt8BUjDjwwM4dQM4GM=">AAACb3icZZHLTsJAFIaHesN6AzVxYWKIsNANaauJWyIbNySYyCUBQmamBxiZdpqZwYBN38WtvpGP4RvYYmNS+q9OvjNnzj//kIAzpS3ru2Bsbe/s7hX3zYPDo+OTUvm0q8RCUuhQwYXsE6yAMx86mmkO/UAC9giHHpk3k37vDaRiwn/RqwBGHp76bMIo1jEal87DIRHc9bCembUhAY1rZjQuVa26tVYlX9hpUUWp2uNyoTl0BV144GvKsVIDfP86Cl+x1IxyiMzhQkGA6RxPIVybziLsqcRBDBVoKha+Bhm28LKFtWTL+BUqCh0rN6NWHslBPfOyLLkZk2UeSjVReeoKvUEJmzJ/DfUMhIR4x4pD6MKE+SyJccMDnwrJcjb+MaOZxgBzPgqXq8iMY7c3Q84XXadu39WdZ6faeEw/oIgu0TW6QTZ6QA30hNqogyh6Rx/oE30VfowL48qo/B01CunMGcrIuP0FQdLCgg==</latexit>
<latexit sha1_base64="+DxAfQhFxclyCK+INJqlq2uZVZo=">AAACbnicZZHLTsJAFIYP9Yb1BpK4MUYjLFiRtpq4JbJxQ4KJXBJKyHQ4wMC008wMpk3Ds7jVR/ItfAQLEhPovzr5zpw5//zjhZwpbVnfOWNv/+DwKH9snpyenV8UipcdJRaSYpsKLmTPIwo5C7CtmebYCyUS3+PY9eaNVb/7jlIxEbzpOMSBTyYBGzNKdIqGhVLieoKPfKKnZsUNp6xiLoeFslWz1rrLFvamKMNGrWEx13BHgi58DDTlRKk+eZwNkhmRmlGOS9NdKAwJnZMJJmvP24j4amUghQo1FYtAo0yaJGoSLVmUPkItE8fKzKjY9zJQT/1ttrqZeFEWSjVWWToSeod6bMKCNdRTFBLTHTHHZIRjFrBVijse+ERIlrHxjxndavQJ54MkipdmGru9G3K26Dg1+6HmvDrl+vPmA/JwDfdQBRueoA4v0II2UIjhAz7hK/djXBk3xu3fUSO3mSnBlozqL2Lfwh0=</latexit>
K
<latexit sha1_base64="FnwjOJKlE9EnO6pemzKI5tt+4d0=">AAACa3icZZHLSsNAFIan8VbjLbU7dSG2gquSRMFtsRtBChXsBdpSJtPTdOwkE2amJSXkTdzqO/kQvoNJDUKaf/XznTlzzvzjBIxKZZrfJW1nd2//oHyoHx2fnJ4ZlfOe5EtBoEs442LgYAmM+tBVVDEYBAKw5zDoO4tWWu+vQEjK/Te1DmDsYdenM0qwStDEMKKRw9nUw2qu11/qejwxambD3Oi6aKzM1FCmzqRSao2mnCw98BVhWMohfngfR+9YKEoYxPpoKSHAZIFdiDYL5xH2ZDo9gRIU4UtfgYjaOGxjJWiYvEDGkW0WeuTacwpQzb08S2/GTliEQs5kkU652qIOdam/gWoOXEAyY80gmsKM+jSNcGsH5nJBC2v8Y0pyhSFmbByF61hPYre2Qy6ant2w7hv2q11rPmUfUEaX6AbdIQs9oiZ6Rh3URQSt0Af6RF+lH62qXWhXf0e1UtZTRTlpt79H5cCt</latexit>
D
<latexit sha1_base64="FY6oCTTNvJhW6CWVxyGVztXQjSk=">AAACa3icZZHLTsJAFIaHesN6K7JTF0YwcUXaauKWiAs3JJjIJQFCpsOhjEw7zcxASpq+iVt9Jx/Cd7DFxqT0X/35zpw5Z/5xAkalMs3vkrazu7d/UD7Uj45PTs+MynlP8qUg0CWccTFwsARGfegqqhgMAgHYcxj0nUUrrfdXICTl/ptaBzD2sOvTGSVYJWhiGNHI4WzqYTXX6891PZ4YNbNhbnRdNFZmaihTZ1IptUZTTpYe+IowLOUQP7yPo3csFCUMYn20lBBgssAuRJuF8wh7Mp2eQAmK8KWvQERtHLaxEjRMXiDjyDYLPXLtOQWo5l6epTdjJyxCIWeySKdcbVGHutTfQDUHLiCZsWYQTWFGfZpGuLUDc7mghTX+MSW5whAzNo7CdawnsVvbIRdNz25Y9w371a41n7IPKKNLdIPukIUeURO9oA7qIoJW6AN9oq/Sj1bVLrSrv6NaKeupopy02186FsCm</latexit>
N
d
<latexit sha1_base64="tid3WGgQ7DPGvtX84A3ToDdDNUA=">AAACbXicZZHLTsJAFIYP9Yb1BhhXGmOERFekoIlbIhs3GE3kkgAh0+mhDEw7ZGZqSpq+ilt9JZ/CV7BFYgL9V3++M2fOmX/sOWdKW9Z3ztja3tndy++bB4dHxyeFYqmjRCAptqngQvZsopAzH9uaaY69uUTi2Ry79qyZ1rvvKBUT/ptezHHoEddnY0aJTtCoUIoGtuCOR/TErDyPnIoZjwplq2otdZU1tZUpw0ovo2KuOXAEDTz0NeVEqT65nw6jKZGaUY6xOQgUzgmdERej5crriHgqnZ9AhZqKwNcooxYJW0RLFiZvUHFUtzI9auHZGagn3jpLbyZ2mIVSjVWWOkJvUJu5zF9CPUEhMZmx4Bg5OGY+S0Pc2IG7QrLMGv+Y0bVCn3A+jMJFbCax1zZDzppOvVq7q9Zf6+XG4+oD8nAO13ALNXiABjzBC7SBQggf8AlfuR/jzLgwLv+OGrlVzymsybj5BSNcwYc=</latexit>
<latexit sha1_base64="Pzv/mrzyY2wHkx8A1Byx7ZCJm/o=">AAACcHicZZHLTsJAFIaHesN6A42JiQsvsDAuSFtN3BLZuCHBRC4JEHI6HGBg2mlmpgbS9GHc6hP5Gj6BBRsT6L86+c6cOf/84wacKW1Z3zlja3tndy+/bx4cHh2fFIqnLSVCSbFJBRey44JCznxsaqY5dgKJ4Lkc2+6stuy331EqJvw3vQiw78HYZyNGQSdoUDiPeq7gQw/0xCz3gAcTKJvxoFCyKtZK19nCTosSSdUYFHO13lDQ0ENfUw5KdeFx2o+mIDWjHGOzFyoMgM5gjNHK9ToCTy0tJFChpiL0NcqoDvM6aMnmyTNUHDlWZkYtPDcD9cRbZ8ubwZ1noVQjlaVDoTeoy8bMX0E9QSEx2bHgGA1xxHy2zHHDAx8LyTI2/jGja40ucN6P5ovYTGK3N0POFi2nYj9UnFenVH1OPyBPLsktuSM2eSJV8kIapEkoicgH+SRfuR/jwrgybv6OGrl05oysybj/BT7uwvY=</latexit>
z
<latexit sha1_base64="wVRBTc5BpSIugg7PEEaKsc4QVFc=">AAACa3icZZHLTsJAFIZP6w3rDWSnLoxg4ooUNHFLZOOGBBO5JEDIdHoog9MOmZkSasObuNV38iF8B1skJtB/9ec7c+ac+ceZcaa0bX8b5s7u3v5B7tA6Oj45PcsXzjtKhJJimwouZM8hCjkLsK2Z5tibSSS+w7HrvDXSeneOUjERvOpohkOfeAEbM0p0gkb5fDxwBHd9oidW+b1sLUf5kl2xV7rOmuralGCt1qhgNAauoKGPgaacKNUnD9NhPCVSM8pxaQ1ChTNC34iH8WrhTUR8lU5PoEJNRRholHGTLJpES7ZIXqCWcc3O9KjIdzJQT/xNlt5MnEUWSjVWWeoKvUUd5rFgBfUEhcRkRsQxdnHMApZGuLUD94RkmTX+MaMbhT7hfBgvoqWVxF7dDjlrOrVK9b5Se6mV6k/rD8jBJdzAHVThEerwDC1oA4U5fMAnfBk/ZtG8MK/+jprGuqcIGzJvfwGknMDc</latexit>
w
<latexit sha1_base64="hM2iKVi2CpspvbIwLHiK8oUrixo=">AAACa3icZZHLTsJAFIan9Yb1BrJTF0YwcUXaauKWyMYNCSZySYCQ6XAog9NOMzPFNg1v4lbfyYfwHWyxMYH+qz/fmTPnzD9OwKhUpvmt6Tu7e/sHpUPj6Pjk9KxcOe9JHgoCXcIZFwMHS2DUh66iisEgEIA9h0HfeWtl9f4ShKTcf1VxAGMPuz6dUYJViiblcjJyOJt6WM2N+nvdWE3KNbNhrnVdNFZuaihXZ1LRWqMpJ6EHviIMSznED4txssBCUcJgZYxCCQEmb9iFZL3wJsKezKanUIIiPPQViKSNozZWgkbpC+Qqsc1Cj4w9pwDV3Ntk2c3YiYpQyJks0ilXW9ShLvXXUM2BC0hnxAySKcyoT7MIt3ZgLhe0sMY/pmSjMMSMjZMoXhlp7NZ2yEXTsxvWfcN+sWvNp/wDSugS3aA7ZKFH1ETPqIO6iKAl+kCf6Ev70av6hX71d1TX8p4q2pB++wuescDZ</latexit>
<latexit sha1_base64="II4UsidxWlZDzwIDEKIvj8XGVLs=">AAACcHicZZHLTgIxFIbLeMPxBhoTExdeYGFckJnRxC2RjRsSTOSSMIS05QCFznTSFjOk4WHc6hP5Gj6BAxKTYf7VyXd6ev7+JRFnSjvOd87a2t7Z3cvv2weHR8cnheJpS4mZpNCkggvZIVgBZyE0NdMcOpEEHBAObTKtLfvtd5CKifBNzyPoBXgUsiGjWCeoXzg3PhF8EGA9tsu+HoPGZXvRL5ScirPSdbZw10UJrdXoF3M1fyDoLIBQU46V6uLHSc9MsNSMcljY/kxBhOkUj8CsXKcRDtTSQgIVaCpmoQZp6jiuYy1ZnDxDLYznZGbUPCAZqMdBmi1vxiTOQqmGKksHQm9QwkYsXMEkICEh2THnYAYwZCFb5rjhgY+EZBkb/5jRVKOLOe+ZeL6wk9jdzZCzRcuruA8V79UrVZ/XH5BHl+gW3SEXPaEqekEN1EQUGfSBPtFX7se6sK6sm7+jVm49c4ZSsu5/AV60wwY=</latexit>
<latexit sha1_base64="IwThYXztQzt8BUjDjwwM4dQM4GM=">AAACb3icZZHLTsJAFIaHesN6AzVxYWKIsNANaauJWyIbNySYyCUBQmamBxiZdpqZwYBN38WtvpGP4RvYYmNS+q9OvjNnzj//kIAzpS3ru2Bsbe/s7hX3zYPDo+OTUvm0q8RCUuhQwYXsE6yAMx86mmkO/UAC9giHHpk3k37vDaRiwn/RqwBGHp76bMIo1jEal87DIRHc9bCembUhAY1rZjQuVa26tVYlX9hpUUWp2uNyoTl0BV144GvKsVIDfP86Cl+x1IxyiMzhQkGA6RxPIVybziLsqcRBDBVoKha+Bhm28LKFtWTL+BUqCh0rN6NWHslBPfOyLLkZk2UeSjVReeoKvUEJmzJ/DfUMhIR4x4pD6MKE+SyJccMDnwrJcjb+MaOZxgBzPgqXq8iMY7c3Q84XXadu39WdZ6faeEw/oIgu0TW6QTZ6QA30hNqogyh6Rx/oE30VfowL48qo/B01CunMGcrIuP0FQdLCgg==</latexit>
<latexit sha1_base64="a6bZETIPCq8P1o7BwRmtu77xJLg=">AAACbnicZZHLTsJAFIan9Yb1BpK4MUYjLFiRFk3cEtm4IcFELgkQMp0eysC008xMDU3Ds7jVR/ItfARbbExK/9XJd+bM+ecfO2BUKtP81vS9/YPDo9KxcXJ6dn5RrlwOJA8FgT7hjIuRjSUw6kNfUcVgFAjAns1gaK86aX/4DkJS7r+pKICph12fzinBKkGzcjWe2Jw5HlYLoz7pLWjd2MzKNbNpbnVXLKysqKFMvVlF60wcTkIPfEUYlnKMH5fTeImFooTBxpiEEgJMVtiFeOs5j7AnUwMJlKAID30FIu7idRcrQdfJI+QmbpmFGRl5dgGqhZdn6c3YXhehkHNZpA5XO9SmLvW3UC2AC0h2RAxiB+bUp2mKOx6YywUt2PjHlOQaY8zYNF5HGyOJ3doNuVgMWk3rodl6bdXaz9kHlNA1ukcNZKEn1EYvqIf6iKAIfaBP9KX96Ff6jX77d1TXspkqyklv/AIjf8H9</latexit>
<latexit sha1_base64="TjjbuIhnCOYM4ZALZBWT3IyDLo4=">AAACcXicZZHLasJAFIZP0ptNb9pCoXQj6qJQkJgWupW66aKChXoBFZlMjjo6yYSZsShpXqbb9oX6HH2BRisFzb86fGf+Of+ccUPOlLbtb8Pc2d3bP8gcWkfHJ6dn2dx5S4mZpNikggvZcYlCzgJsaqY5dkKJxHc5tt1pbdlvv6FUTASvehFi3yejgA0ZJTpBg+xl1HMF93yix1ap95wYPVKy4kG2aJftlfLporIuirBWY5Azaj1P0JmPgaacKNUl95N+NCFSM8oxtnozhSGhUzLCaBV7ExFfLTMkUKGmYhZolFGdzOtESzZP3qHiyLFTHrXw3RTUY3+TLW8m7jwNpRqqNPWE3qIuG7FgBfUYhcRkxoJj5OGQBWy5yK0MfCQkS8X4x4xuNLqE8340X8RWsvbK9pLTRcspV+7KzotTrD6uPyAD11CAG6jAA1ThCRrQBArv8AGf8GX8mFdm3iz8HTWNtecCNmTe/gLe+cM7</latexit>
<latexit sha1_base64="+DxAfQhFxclyCK+INJqlq2uZVZo=">AAACbnicZZHLTsJAFIYP9Yb1BpK4MUYjLFiRtpq4JbJxQ4KJXBJKyHQ4wMC008wMpk3Ds7jVR/ItfAQLEhPovzr5zpw5//zjhZwpbVnfOWNv/+DwKH9snpyenV8UipcdJRaSYpsKLmTPIwo5C7CtmebYCyUS3+PY9eaNVb/7jlIxEbzpOMSBTyYBGzNKdIqGhVLieoKPfKKnZsUNp6xiLoeFslWz1rrLFvamKMNGrWEx13BHgi58DDTlRKk+eZwNkhmRmlGOS9NdKAwJnZMJJmvP24j4amUghQo1FYtAo0yaJGoSLVmUPkItE8fKzKjY9zJQT/1ttrqZeFEWSjVWWToSeod6bMKCNdRTFBLTHTHHZIRjFrBVijse+ERIlrHxjxndavQJ54MkipdmGru9G3K26Dg1+6HmvDrl+vPmA/JwDfdQBRueoA4v0II2UIjhAz7hK/djXBk3xu3fUSO3mSnBlozqL2Lfwh0=</latexit>
(a) LDA (Blei et al., 2003).
Labeled LDA
LDA Seeded LDA
K
<latexit sha1_base64="FnwjOJKlE9EnO6pemzKI5tt+4d0=">AAACa3icZZHLSsNAFIan8VbjLbU7dSG2gquSRMFtsRtBChXsBdpSJtPTdOwkE2amJSXkTdzqO/kQvoNJDUKaf/XznTlzzvzjBIxKZZrfJW1nd2//oHyoHx2fnJ4ZlfOe5EtBoEs442LgYAmM+tBVVDEYBAKw5zDoO4tWWu+vQEjK/Te1DmDsYdenM0qwStDEMKKRw9nUw2qu11/qejwxambD3Oi6aKzM1FCmzqRSao2mnCw98BVhWMohfngfR+9YKEoYxPpoKSHAZIFdiDYL5xH2ZDo9gRIU4UtfgYjaOGxjJWiYvEDGkW0WeuTacwpQzb08S2/GTliEQs5kkU652qIOdam/gWoOXEAyY80gmsKM+jSNcGsH5nJBC2v8Y0pyhSFmbByF61hPYre2Qy6ant2w7hv2q11rPmUfUEaX6AbdIQs9oiZ6Rh3URQSt0Af6RF+lH62qXWhXf0e1UtZTRTlpt79H5cCt</latexit>
D
<latexit sha1_base64="FY6oCTTNvJhW6CWVxyGVztXQjSk=">AAACa3icZZHLTsJAFIaHesN6K7JTF0YwcUXaauKWiAs3JJjIJQFCpsOhjEw7zcxASpq+iVt9Jx/Cd7DFxqT0X/35zpw5Z/5xAkalMs3vkrazu7d/UD7Uj45PTs+MynlP8qUg0CWccTFwsARGfegqqhgMAgHYcxj0nUUrrfdXICTl/ptaBzD2sOvTGSVYJWhiGNHI4WzqYTXX6891PZ4YNbNhbnRdNFZmaihTZ1IptUZTTpYe+IowLOUQP7yPo3csFCUMYn20lBBgssAuRJuF8wh7Mp2eQAmK8KWvQERtHLaxEjRMXiDjyDYLPXLtOQWo5l6epTdjJyxCIWeySKdcbVGHutTfQDUHLiCZsWYQTWFGfZpGuLUDc7mghTX+MSW5whAzNo7CdawnsVvbIRdNz25Y9w371a41n7IPKKNLdIPukIUeURO9oA7qIoJW6AN9oq/Sj1bVLrSrv6NaKeupopy02186FsCm</latexit>
N
d
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d
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w
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<latexit sha1_base64="II4UsidxWlZDzwIDEKIvj8XGVLs=">AAACcHicZZHLTgIxFIbLeMPxBhoTExdeYGFckJnRxC2RjRsSTOSSMIS05QCFznTSFjOk4WHc6hP5Gj6BAxKTYf7VyXd6ev7+JRFnSjvOd87a2t7Z3cvv2weHR8cnheJpS4mZpNCkggvZIVgBZyE0NdMcOpEEHBAObTKtLfvtd5CKifBNzyPoBXgUsiGjWCeoXzg3PhF8EGA9tsu+HoPGZXvRL5ScirPSdbZw10UJrdXoF3M1fyDoLIBQU46V6uLHSc9MsNSMcljY/kxBhOkUj8CsXKcRDtTSQgIVaCpmoQZp6jiuYy1ZnDxDLYznZGbUPCAZqMdBmi1vxiTOQqmGKksHQm9QwkYsXMEkICEh2THnYAYwZCFb5rjhgY+EZBkb/5jRVKOLOe+ZeL6wk9jdzZCzRcuruA8V79UrVZ/XH5BHl+gW3SEXPaEqekEN1EQUGfSBPtFX7se6sK6sm7+jVm49c4ZSsu5/AV60wwY=</latexit>
<latexit sha1_base64="Y/3JhWVR6voQq+MIoGsFG5yuPOg=">AAACbnicZZHLTsJAFIan9Yb1BpK4MUYjLFiRFk3cEtm4IcFELgklZDo9lIFpp5kZTJuGZ3Grj+Rb+Ai2SExK/9XJd+bM+ecfJ2RUKtP81vS9/YPDo9KxcXJ6dn5RrlwOJF8JAn3CGRcjB0tgNIC+oorBKBSAfYfB0Fl2sv7wHYSkPHhTcQgTH3sBnVGCVYqm5WpiO5y5PlZzo26DwnVjPS3XzKa50V2xsLZFDW3Vm1a0ju1ysvIhUIRhKcf4cTFJFlgoShisDXslIcRkiT1INp7zCPsyM5BCCYrwVaBAJF0cdbESNEofIddJyyzMyNh3ClDN/TzLbsZOVIRCzmSRulztUId6NNhANQcuIN0RM0hcmNGAZinueGAeF7Rg4x9TkmuMMWOTJIrXRhq7tRtysRi0mtZDs/XaqrWftx9QQtfoHjWQhZ5QG72gHuojgmL0gT7Rl/ajX+k3+u3fUV3bzlRRTnrjF1UGwhY=</latexit>
<latexit sha1_base64="IwThYXztQzt8BUjDjwwM4dQM4GM=">AAACb3icZZHLTsJAFIaHesN6AzVxYWKIsNANaauJWyIbNySYyCUBQmamBxiZdpqZwYBN38WtvpGP4RvYYmNS+q9OvjNnzj//kIAzpS3ru2Bsbe/s7hX3zYPDo+OTUvm0q8RCUuhQwYXsE6yAMx86mmkO/UAC9giHHpk3k37vDaRiwn/RqwBGHp76bMIo1jEal87DIRHc9bCembUhAY1rZjQuVa26tVYlX9hpUUWp2uNyoTl0BV144GvKsVIDfP86Cl+x1IxyiMzhQkGA6RxPIVybziLsqcRBDBVoKha+Bhm28LKFtWTL+BUqCh0rN6NWHslBPfOyLLkZk2UeSjVReeoKvUEJmzJ/DfUMhIR4x4pD6MKE+SyJccMDnwrJcjb+MaOZxgBzPgqXq8iMY7c3Q84XXadu39WdZ6faeEw/oIgu0TW6QTZ6QA30hNqogyh6Rx/oE30VfowL48qo/B01CunMGcrIuP0FQdLCgg==</latexit>
<latexit sha1_base64="+DxAfQhFxclyCK+INJqlq2uZVZo=">AAACbnicZZHLTsJAFIYP9Yb1BpK4MUYjLFiRtpq4JbJxQ4KJXBJKyHQ4wMC008wMpk3Ds7jVR/ItfAQLEhPovzr5zpw5//zjhZwpbVnfOWNv/+DwKH9snpyenV8UipcdJRaSYpsKLmTPIwo5C7CtmebYCyUS3+PY9eaNVb/7jlIxEbzpOMSBTyYBGzNKdIqGhVLieoKPfKKnZsUNp6xiLoeFslWz1rrLFvamKMNGrWEx13BHgi58DDTlRKk+eZwNkhmRmlGOS9NdKAwJnZMJJmvP24j4amUghQo1FYtAo0yaJGoSLVmUPkItE8fKzKjY9zJQT/1ttrqZeFEWSjVWWToSeod6bMKCNdRTFBLTHTHHZIRjFrBVijse+ERIlrHxjxndavQJ54MkipdmGru9G3K26Dg1+6HmvDrl+vPmA/JwDfdQBRueoA4v0II2UIjhAz7hK/djXBk3xu3fUSO3mSnBlozqL2Lfwh0=</latexit>
K
<latexit sha1_base64="FnwjOJKlE9EnO6pemzKI5tt+4d0=">AAACa3icZZHLSsNAFIan8VbjLbU7dSG2gquSRMFtsRtBChXsBdpSJtPTdOwkE2amJSXkTdzqO/kQvoNJDUKaf/XznTlzzvzjBIxKZZrfJW1nd2//oHyoHx2fnJ4ZlfOe5EtBoEs442LgYAmM+tBVVDEYBAKw5zDoO4tWWu+vQEjK/Te1DmDsYdenM0qwStDEMKKRw9nUw2qu11/qejwxambD3Oi6aKzM1FCmzqRSao2mnCw98BVhWMohfngfR+9YKEoYxPpoKSHAZIFdiDYL5xH2ZDo9gRIU4UtfgYjaOGxjJWiYvEDGkW0WeuTacwpQzb08S2/GTliEQs5kkU652qIOdam/gWoOXEAyY80gmsKM+jSNcGsH5nJBC2v8Y0pyhSFmbByF61hPYre2Qy6ant2w7hv2q11rPmUfUEaX6AbdIQs9oiZ6Rh3URQSt0Af6RF+lH62qXWhXf0e1UtZTRTlpt79H5cCt</latexit>
D
<latexit sha1_base64="FY6oCTTNvJhW6CWVxyGVztXQjSk=">AAACa3icZZHLTsJAFIaHesN6K7JTF0YwcUXaauKWiAs3JJjIJQFCpsOhjEw7zcxASpq+iVt9Jx/Cd7DFxqT0X/35zpw5Z/5xAkalMs3vkrazu7d/UD7Uj45PTs+MynlP8qUg0CWccTFwsARGfegqqhgMAgHYcxj0nUUrrfdXICTl/ptaBzD2sOvTGSVYJWhiGNHI4WzqYTXX6891PZ4YNbNhbnRdNFZmaihTZ1IptUZTTpYe+IowLOUQP7yPo3csFCUMYn20lBBgssAuRJuF8wh7Mp2eQAmK8KWvQERtHLaxEjRMXiDjyDYLPXLtOQWo5l6epTdjJyxCIWeySKdcbVGHutTfQDUHLiCZsWYQTWFGfZpGuLUDc7mghTX+MSW5whAzNo7CdawnsVvbIRdNz25Y9w371a41n7IPKKNLdIPukIUeURO9oA7qIoJW6AN9oq/Sj1bVLrSrv6NaKeupopy02186FsCm</latexit>
N
d
<latexit sha1_base64="tid3WGgQ7DPGvtX84A3ToDdDNUA=">AAACbXicZZHLTsJAFIYP9Yb1BhhXGmOERFekoIlbIhs3GE3kkgAh0+mhDEw7ZGZqSpq+ilt9JZ/CV7BFYgL9V3++M2fOmX/sOWdKW9Z3ztja3tndy++bB4dHxyeFYqmjRCAptqngQvZsopAzH9uaaY69uUTi2Ry79qyZ1rvvKBUT/ptezHHoEddnY0aJTtCoUIoGtuCOR/TErDyPnIoZjwplq2otdZU1tZUpw0ovo2KuOXAEDTz0NeVEqT65nw6jKZGaUY6xOQgUzgmdERej5crriHgqnZ9AhZqKwNcooxYJW0RLFiZvUHFUtzI9auHZGagn3jpLbyZ2mIVSjVWWOkJvUJu5zF9CPUEhMZmx4Bg5OGY+S0Pc2IG7QrLMGv+Y0bVCn3A+jMJFbCax1zZDzppOvVq7q9Zf6+XG4+oD8nAO13ALNXiABjzBC7SBQggf8AlfuR/jzLgwLv+OGrlVzymsybj5BSNcwYc=</latexit>
<latexit sha1_base64="Pzv/mrzyY2wHkx8A1Byx7ZCJm/o=">AAACcHicZZHLTsJAFIaHesN6A42JiQsvsDAuSFtN3BLZuCHBRC4JEHI6HGBg2mlmpgbS9GHc6hP5Gj6BBRsT6L86+c6cOf/84wacKW1Z3zlja3tndy+/bx4cHh2fFIqnLSVCSbFJBRey44JCznxsaqY5dgKJ4Lkc2+6stuy331EqJvw3vQiw78HYZyNGQSdoUDiPeq7gQw/0xCz3gAcTKJvxoFCyKtZK19nCTosSSdUYFHO13lDQ0ENfUw5KdeFx2o+mIDWjHGOzFyoMgM5gjNHK9ToCTy0tJFChpiL0NcqoDvM6aMnmyTNUHDlWZkYtPDcD9cRbZ8ubwZ1noVQjlaVDoTeoy8bMX0E9QSEx2bHgGA1xxHy2zHHDAx8LyTI2/jGja40ucN6P5ovYTGK3N0POFi2nYj9UnFenVH1OPyBPLsktuSM2eSJV8kIapEkoicgH+SRfuR/jwrgybv6OGrl05oysybj/BT7uwvY=</latexit>
z
<latexit sha1_base64="wVRBTc5BpSIugg7PEEaKsc4QVFc=">AAACa3icZZHLTsJAFIZP6w3rDWSnLoxg4ooUNHFLZOOGBBO5JEDIdHoog9MOmZkSasObuNV38iF8B1skJtB/9ec7c+ac+ceZcaa0bX8b5s7u3v5B7tA6Oj45PcsXzjtKhJJimwouZM8hCjkLsK2Z5tibSSS+w7HrvDXSeneOUjERvOpohkOfeAEbM0p0gkb5fDxwBHd9oidW+b1sLUf5kl2xV7rOmuralGCt1qhgNAauoKGPgaacKNUnD9NhPCVSM8pxaQ1ChTNC34iH8WrhTUR8lU5PoEJNRRholHGTLJpES7ZIXqCWcc3O9KjIdzJQT/xNlt5MnEUWSjVWWeoKvUUd5rFgBfUEhcRkRsQxdnHMApZGuLUD94RkmTX+MaMbhT7hfBgvoqWVxF7dDjlrOrVK9b5Se6mV6k/rD8jBJdzAHVThEerwDC1oA4U5fMAnfBk/ZtG8MK/+jprGuqcIGzJvfwGknMDc</latexit>
w
<latexit sha1_base64="hM2iKVi2CpspvbIwLHiK8oUrixo=">AAACa3icZZHLTsJAFIan9Yb1BrJTF0YwcUXaauKWyMYNCSZySYCQ6XAog9NOMzPFNg1v4lbfyYfwHWyxMYH+qz/fmTPnzD9OwKhUpvmt6Tu7e/sHpUPj6Pjk9KxcOe9JHgoCXcIZFwMHS2DUh66iisEgEIA9h0HfeWtl9f4ShKTcf1VxAGMPuz6dUYJViiblcjJyOJt6WM2N+nvdWE3KNbNhrnVdNFZuaihXZ1LRWqMpJ6EHviIMSznED4txssBCUcJgZYxCCQEmb9iFZL3wJsKezKanUIIiPPQViKSNozZWgkbpC+Qqsc1Cj4w9pwDV3Ntk2c3YiYpQyJks0ilXW9ShLvXXUM2BC0hnxAySKcyoT7MIt3ZgLhe0sMY/pmSjMMSMjZMoXhlp7NZ2yEXTsxvWfcN+sWvNp/wDSugS3aA7ZKFH1ETPqIO6iKAl+kCf6Ev70av6hX71d1TX8p4q2pB++wuescDZ</latexit>
<latexit sha1_base64="II4UsidxWlZDzwIDEKIvj8XGVLs=">AAACcHicZZHLTgIxFIbLeMPxBhoTExdeYGFckJnRxC2RjRsSTOSSMIS05QCFznTSFjOk4WHc6hP5Gj6BAxKTYf7VyXd6ev7+JRFnSjvOd87a2t7Z3cvv2weHR8cnheJpS4mZpNCkggvZIVgBZyE0NdMcOpEEHBAObTKtLfvtd5CKifBNzyPoBXgUsiGjWCeoXzg3PhF8EGA9tsu+HoPGZXvRL5ScirPSdbZw10UJrdXoF3M1fyDoLIBQU46V6uLHSc9MsNSMcljY/kxBhOkUj8CsXKcRDtTSQgIVaCpmoQZp6jiuYy1ZnDxDLYznZGbUPCAZqMdBmi1vxiTOQqmGKksHQm9QwkYsXMEkICEh2THnYAYwZCFb5rjhgY+EZBkb/5jRVKOLOe+ZeL6wk9jdzZCzRcuruA8V79UrVZ/XH5BHl+gW3SEXPaEqekEN1EQUGfSBPtFX7se6sK6sm7+jVm49c4ZSsu5/AV60wwY=</latexit>
<latexit sha1_base64="IwThYXztQzt8BUjDjwwM4dQM4GM=">AAACb3icZZHLTsJAFIaHesN6AzVxYWKIsNANaauJWyIbNySYyCUBQmamBxiZdpqZwYBN38WtvpGP4RvYYmNS+q9OvjNnzj//kIAzpS3ru2Bsbe/s7hX3zYPDo+OTUvm0q8RCUuhQwYXsE6yAMx86mmkO/UAC9giHHpk3k37vDaRiwn/RqwBGHp76bMIo1jEal87DIRHc9bCembUhAY1rZjQuVa26tVYlX9hpUUWp2uNyoTl0BV144GvKsVIDfP86Cl+x1IxyiMzhQkGA6RxPIVybziLsqcRBDBVoKha+Bhm28LKFtWTL+BUqCh0rN6NWHslBPfOyLLkZk2UeSjVReeoKvUEJmzJ/DfUMhIR4x4pD6MKE+SyJccMDnwrJcjb+MaOZxgBzPgqXq8iMY7c3Q84XXadu39WdZ6faeEw/oIgu0TW6QTZ6QA30hNqogyh6Rx/oE30VfowL48qo/B01CunMGcrIuP0FQdLCgg==</latexit>
<latexit sha1_base64="a6bZETIPCq8P1o7BwRmtu77xJLg=">AAACbnicZZHLTsJAFIan9Yb1BpK4MUYjLFiRFk3cEtm4IcFELgkQMp0eysC008xMDU3Ds7jVR/ItfARbbExK/9XJd+bM+ecfO2BUKtP81vS9/YPDo9KxcXJ6dn5RrlwOJA8FgT7hjIuRjSUw6kNfUcVgFAjAns1gaK86aX/4DkJS7r+pKICph12fzinBKkGzcjWe2Jw5HlYLoz7pLWjd2MzKNbNpbnVXLKysqKFMvVlF60wcTkIPfEUYlnKMH5fTeImFooTBxpiEEgJMVtiFeOs5j7AnUwMJlKAID30FIu7idRcrQdfJI+QmbpmFGRl5dgGqhZdn6c3YXhehkHNZpA5XO9SmLvW3UC2AC0h2RAxiB+bUp2mKOx6YywUt2PjHlOQaY8zYNF5HGyOJ3doNuVgMWk3rodl6bdXaz9kHlNA1ukcNZKEn1EYvqIf6iKAIfaBP9KX96Ff6jX77d1TXspkqyklv/AIjf8H9</latexit>
<latexit sha1_base64="TjjbuIhnCOYM4ZALZBWT3IyDLo4=">AAACcXicZZHLasJAFIZP0ptNb9pCoXQj6qJQkJgWupW66aKChXoBFZlMjjo6yYSZsShpXqbb9oX6HH2BRisFzb86fGf+Of+ccUPOlLbtb8Pc2d3bP8gcWkfHJ6dn2dx5S4mZpNikggvZcYlCzgJsaqY5dkKJxHc5tt1pbdlvv6FUTASvehFi3yejgA0ZJTpBg+xl1HMF93yix1ap95wYPVKy4kG2aJftlfLporIuirBWY5Azaj1P0JmPgaacKNUl95N+NCFSM8oxtnozhSGhUzLCaBV7ExFfLTMkUKGmYhZolFGdzOtESzZP3qHiyLFTHrXw3RTUY3+TLW8m7jwNpRqqNPWE3qIuG7FgBfUYhcRkxoJj5OGQBWy5yK0MfCQkS8X4x4xuNLqE8340X8RWsvbK9pLTRcspV+7KzotTrD6uPyAD11CAG6jAA1ThCRrQBArv8AGf8GX8mFdm3iz8HTWNtecCNmTe/gLe+cM7</latexit>
<latexit sha1_base64="+DxAfQhFxclyCK+INJqlq2uZVZo=">AAACbnicZZHLTsJAFIYP9Yb1BpK4MUYjLFiRtpq4JbJxQ4KJXBJKyHQ4wMC008wMpk3Ds7jVR/ItfAQLEhPovzr5zpw5//zjhZwpbVnfOWNv/+DwKH9snpyenV8UipcdJRaSYpsKLmTPIwo5C7CtmebYCyUS3+PY9eaNVb/7jlIxEbzpOMSBTyYBGzNKdIqGhVLieoKPfKKnZsUNp6xiLoeFslWz1rrLFvamKMNGrWEx13BHgi58DDTlRKk+eZwNkhmRmlGOS9NdKAwJnZMJJmvP24j4amUghQo1FYtAo0yaJGoSLVmUPkItE8fKzKjY9zJQT/1ttrqZeFEWSjVWWToSeod6bMKCNdRTFBLTHTHHZIRjFrBVijse+ERIlrHxjxndavQJ54MkipdmGru9G3K26Dg1+6HmvDrl+vPmA/JwDfdQBRueoA4v0II2UIjhAz7hK/djXBk3xu3fUSO3mSnBlozqL2Lfwh0=</latexit>
(b) LLDA (Ramage et al., 2009).
Labeled LDA
LDA Seeded LDA
K
<latexit sha1_base64="FnwjOJKlE9EnO6pemzKI5tt+4d0=">AAACa3icZZHLSsNAFIan8VbjLbU7dSG2gquSRMFtsRtBChXsBdpSJtPTdOwkE2amJSXkTdzqO/kQvoNJDUKaf/XznTlzzvzjBIxKZZrfJW1nd2//oHyoHx2fnJ4ZlfOe5EtBoEs442LgYAmM+tBVVDEYBAKw5zDoO4tWWu+vQEjK/Te1DmDsYdenM0qwStDEMKKRw9nUw2qu11/qejwxambD3Oi6aKzM1FCmzqRSao2mnCw98BVhWMohfngfR+9YKEoYxPpoKSHAZIFdiDYL5xH2ZDo9gRIU4UtfgYjaOGxjJWiYvEDGkW0WeuTacwpQzb08S2/GTliEQs5kkU652qIOdam/gWoOXEAyY80gmsKM+jSNcGsH5nJBC2v8Y0pyhSFmbByF61hPYre2Qy6ant2w7hv2q11rPmUfUEaX6AbdIQs9oiZ6Rh3URQSt0Af6RF+lH62qXWhXf0e1UtZTRTlpt79H5cCt</latexit>
D
<latexit sha1_base64="FY6oCTTNvJhW6CWVxyGVztXQjSk=">AAACa3icZZHLTsJAFIaHesN6K7JTF0YwcUXaauKWiAs3JJjIJQFCpsOhjEw7zcxASpq+iVt9Jx/Cd7DFxqT0X/35zpw5Z/5xAkalMs3vkrazu7d/UD7Uj45PTs+MynlP8qUg0CWccTFwsARGfegqqhgMAgHYcxj0nUUrrfdXICTl/ptaBzD2sOvTGSVYJWhiGNHI4WzqYTXX6891PZ4YNbNhbnRdNFZmaihTZ1IptUZTTpYe+IowLOUQP7yPo3csFCUMYn20lBBgssAuRJuF8wh7Mp2eQAmK8KWvQERtHLaxEjRMXiDjyDYLPXLtOQWo5l6epTdjJyxCIWeySKdcbVGHutTfQDUHLiCZsWYQTWFGfZpGuLUDc7mghTX+MSW5whAzNo7CdawnsVvbIRdNz25Y9w371a41n7IPKKNLdIPukIUeURO9oA7qIoJW6AN9oq/Sj1bVLrSrv6NaKeupopy02186FsCm</latexit>
N
d
<latexit sha1_base64="tid3WGgQ7DPGvtX84A3ToDdDNUA=">AAACbXicZZHLTsJAFIYP9Yb1BhhXGmOERFekoIlbIhs3GE3kkgAh0+mhDEw7ZGZqSpq+ilt9JZ/CV7BFYgL9V3++M2fOmX/sOWdKW9Z3ztja3tndy++bB4dHxyeFYqmjRCAptqngQvZsopAzH9uaaY69uUTi2Ry79qyZ1rvvKBUT/ptezHHoEddnY0aJTtCoUIoGtuCOR/TErDyPnIoZjwplq2otdZU1tZUpw0ovo2KuOXAEDTz0NeVEqT65nw6jKZGaUY6xOQgUzgmdERej5crriHgqnZ9AhZqKwNcooxYJW0RLFiZvUHFUtzI9auHZGagn3jpLbyZ2mIVSjVWWOkJvUJu5zF9CPUEhMZmx4Bg5OGY+S0Pc2IG7QrLMGv+Y0bVCn3A+jMJFbCax1zZDzppOvVq7q9Zf6+XG4+oD8nAO13ALNXiABjzBC7SBQggf8AlfuR/jzLgwLv+OGrlVzymsybj5BSNcwYc=</latexit>
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r
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b
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K
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D
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d
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K
<latexit sha1_base64="FnwjOJKlE9EnO6pemzKI5tt+4d0=">AAACa3icZZHLSsNAFIan8VbjLbU7dSG2gquSRMFtsRtBChXsBdpSJtPTdOwkE2amJSXkTdzqO/kQvoNJDUKaf/XznTlzzvzjBIxKZZrfJW1nd2//oHyoHx2fnJ4ZlfOe5EtBoEs442LgYAmM+tBVVDEYBAKw5zDoO4tWWu+vQEjK/Te1DmDsYdenM0qwStDEMKKRw9nUw2qu11/qejwxambD3Oi6aKzM1FCmzqRSao2mnCw98BVhWMohfngfR+9YKEoYxPpoKSHAZIFdiDYL5xH2ZDo9gRIU4UtfgYjaOGxjJWiYvEDGkW0WeuTacwpQzb08S2/GTliEQs5kkU652qIOdam/gWoOXEAyY80gmsKM+jSNcGsH5nJBC2v8Y0pyhSFmbByF61hPYre2Qy6ant2w7hv2q11rPmUfUEaX6AbdIQs9oiZ6Rh3URQSt0Af6RF+lH62qXWhXf0e1UtZTRTlpt79H5cCt</latexit>
D
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N
d
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z
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w
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(c) SLDA (Jagarlamudi et al., 2012).
Figure 1: Graphical models of topic models.
hashes, and names of malware. In this work, we ex-
tracted IPv4 addresses and URLs from text using reg-
ular expressions and used them along with the above-
mentioned preprocessed words to train the topic mod-
els. In addition, we also extracted MD5, SHA1,
SHA256, and SHA512 hashes of (malicious) files as
IOC.
In addition to general stop words, we removed
some words extracted using the LLDA model. When
training models with LLDA for labeled text, the
model assigns the corresponding label of text and the
label common topic to each token. Words that appear
in the category common topic also appear in other cat-
egories uniformly, and thus should not be set as seed
words.
4 EXPERIMENTS
We evaluated LDA, LLDA, and SLDA models trained
using labeled cybersecurity text. We conducted exper-
iments on overlapping (or soft) clustering using multi-
labeled text and predictions using test text (i.e., text
not used to train the models).
4.1 Data
We used the following 405 security text from internal
and external sources in the experiments.
• 45 security incident reports written from the be-
ginning of 2016 to March 2019 managed in our
CERT.
• 120 blog posts in Trend Micro Security Blog (in
Japanese)
3
.
3
https://blog.trendmicro.co.jp
• 120 blog posts in Cisco Japan Blog categorized as
security research
4
.
• 120 blog posts filtered by LANGUAGE: Japanese,
SYMANTEC BLOGS: Security Response in
Symantec Connect
5
.
For the blogs by each security vendor, we col-
lected the recent 120 blog text posted before the end
of September 2019.
In our CERT, the members summarize the results
of incident investigations and responses for incident
handling interactions with other teams (SOC or the
network operations center) or the person who con-
tacted the CERT. The reports are stored as an Excel
file. We analyzed the following types of text in the
reports using the topic models: abstract of incident,
status of response, cause of incident and possible at-
tacks, information on the compromised system (e.g.,
IP address, network environment, OS version), attack
(source) information (e.g., IP address/domain, name
of malware), and measures implemented to prevent
recurrence.
Next, we consider suitable categories for classify-
ing security text with topic models. In this paper, we
define categories of cybersecurity incident and attack
that correspond to some standards that are commonly
recognized.
Specifically, we set the following 6 categories of
incident based on NIST SP800-61 Revision 1
6
and
FIRST
7
in Table 1, and 9 categories of attack based
on MITRE CAPEC
8
in Table 2.
4
https://gblogs.cisco.com/jp/category/security/research/
5
https://www.symantec.com/connect/search
6
https://www.fismacenter.com/SP800-61rev1.pdf
7
https://www.first.org/resources/guides/csirt case
classification.html
8
https://capec.mitre.org
A Study of Classification of Texts into Categories of Cybersecurity Incident and Attack with Topic Models
641