$30 off During Our Annual Pro Sale. View Details »

Outfit Generation and Style Extraction via Bidirectional LSTM and Autoencoder

tn1031
August 20, 2018

Outfit Generation and Style Extraction via Bidirectional LSTM and Autoencoder

When creating an outfit, style is a criterion in selecting each fashion item. This means that style can be regarded as a feature of the overall outfit. However, in various previous studies on outfit generation, there have been few methods focusing on global information obtained from an outfit. To address this deficiency, we have incorporated an unsupervised style extraction module into a model to learn outfits. Using the style information of an outfit as a whole, the proposed model succeeded in generating outfits more flexibly without requiring additional information . Moreover, the style information extracted by the proposed model is easy to interpret. The proposed model was evaluated on two human-generated outfit datasets. In a fashion item prediction task (missing prediction task), the proposed model outperformed a baseline method. In a style extraction task, the proposed model extracted some easily distinguishable styles. In an outfit generation task, the proposed model generated an outfit while controlling its styles . This capability allows us to generate fashionable outfits according to various preferences.

tn1031

August 20, 2018
Tweet

More Decks by tn1031

Other Decks in Technology

Transcript

  1. © Start Today Technologies Inc.
    0VUpU(FOFSBUJPOBOE4UZMF&YUSBDUJPO
    WJB#JEJSFDUJPOBM-45.BOE"VUPFODPEFS

    5BLVNB/BLBNVSB ;0;03FTFBSDI
    "VHVTU ,%%8"*GPSGBTIJPO

    View Slide

  2. 2
    .PUJWBUJPO
    2VFSZJUFN (FOFSBUFEPVUpU
    4UZMFJOGPSNBUJPO
    4UZMF9
    4UZMF:

    View Slide

  3. 3
    $IBMMFOHF
    -FBSOJOHGBTIJPOJUFNDPNQBUJCJMJUZ
    &YUSBDUJOHUIFPVUpUTUZMF
    0VSXPSLJTʜ

    )PXDPNQBUJCMF
    8IBUTUZMFʁ

    View Slide

  4. 4
    %BUBTFU
    0VUpU 4FRVFODFPGJUFNT
    w "OPVUpUDPOTJTUTPGNVMUJQMFJUFNJNBHFT
    w 5IFOVNCFSPGJUFNTJOBOPVUpUJTWBSJFT
    w "OPVUpUDBOCFSFHBSEFEBTBTFRVFODFPGJUFNT

    View Slide

  5. 5
    3FMBUFEXPSL )BO

    9JOUPOH)BO ;VYVBO8V :V(BOH+JBOH BOE-BSSZ4%BWJT-FBSOJOHGBTIJPODPNQBUJCJMJUZXJUI
    CJEJSFDUJPOBMMTUNT*O1SPDFFEJOHTPGUIF"$.PO.VMUJNFEJB$POGFSFODF"$. r
    IUUQTEMBDNPSHDJUBUJPODGN EPJE

    View Slide

  6. 6
    3FMBUFEXPSL )BO

    GPSXBSE-45. CBDLXBSE-45.
    QSFEJDUUIFNPTUDPNQBUJCMFJUFN
    p(xt
    |x1, . . . , xt 1, xt+1, . . . , xN ; ✓LST Mf , ✓LST Mb)
    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
    AAACr3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQt4FWhUxJfUVMQb6sTkpOSXFOtUxFeX6BrWgmltIA0X9rOOKclILUmMr/YJDvFNA8ogcZNqNeMFlA30DMBAAZNhCGUoM0BBQL7AcoYYhhSGfIZkhlKGXIZUhjyGEiA7hyGRoRgIoxkMGQwYCoBisQzVQLEiICsTLJ/KUMvABdRbClSVClSRCBTNBpLpQF40VDQPyAeZWQzWnQy0JQeIi4A6FRhUDa4arDT4bHDCYLXBS4M/OM2qBpsBckslkE6C6E0tiOfvkgj+TlBXLpAuYchA6MLr5hKGNAYLsFszgW4vAIuAfJEM0V9WNf1zsFWQarWawSKD10D3LzS4aXAY6IO8si/JSwNTg2YzcAEjwBA9uDEZYUZ6hgZ6hoEmyg6u0KjgYJBmUGLQAIa3OYMDgwdDAEMo0N4NDNcY7jM8YDJkCmeKY0qAKGVihOoRZkABTJkAOlSmpQ==
    = p(xt
    |x1, . . . , xt 1; ✓LST Mf ) · p(xt
    |xt+1, . . . , xN ; ✓LST Mb)
    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
    AAACvnicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtE2ioUaFTEl9RUxBvqxOSk5JcU61TEV5foGtZax5RkpJYkxlf7BIf4ptVqKsQkA6XhyqtLtA1rEVr8UJQn1WrGCygb6BmAgQImwxDKUGaAgoB8geUMMQwpDPkMyQylDLkMqQx5DCVAdg5DIkMxEEYzGDIYMBQAxWIZqoFiRUBWJlg+laGWgQuotxSoKhWoIhEomg0k04G8aKhoHpAPMrMYrDsZaEsOEBcBdSowqBpcNVhp8NnghMFqg5cGf3CaVQ02A+SWSiCdBNGbWhDP3yUR/J2grlwgXcKQgdCF180lDGkMFmC3ZgLdXgAWAfkiGaK/rGr652CrINVqNYNFBq+B7l9ocNPgMNAHeWVfkpcGpgbNZuACRoAhenBjMsKM9AwN9AwDTZQdXKFRwcEgzaDEoAEMb3MGBwYPhgCGUKC9+xmeMrxjeM/kwJTGlMuUD1HKxAjVI8yAApgqAC/RrEk=
    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
    = p(xt
    |x1, . . . , xt 1; ✓LST Mf ) · p(xt
    |xt+1, . . . , xN ; ✓LST Mb)
    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
    AAACvnicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtE2ioUaFTEl9RUxBvqxOSk5JcU61TEV5foGtZax5RkpJYkxlf7BIf4ptVqKsQkA6XhyqtLtA1rEVr8UJQn1WrGCygb6BmAgQImwxDKUGaAgoB8geUMMQwpDPkMyQylDLkMqQx5DCVAdg5DIkMxEEYzGDIYMBQAxWIZqoFiRUBWJlg+laGWgQuotxSoKhWoIhEomg0k04G8aKhoHpAPMrMYrDsZaEsOEBcBdSowqBpcNVhp8NnghMFqg5cGf3CaVQ02A+SWSiCdBNGbWhDP3yUR/J2grlwgXcKQgdCF180lDGkMFmC3ZgLdXgAWAfkiGaK/rGr652CrINVqNYNFBq+B7l9ocNPgMNAHeWVfkpcGpgbNZuACRoAhenBjMsKM9AwN9AwDTZQdXKFRwcEgzaDEoAEMb3MGBwYPhgCGUKC9+xmeMrxjeM/kwJTGlMuUD1HKxAjVI8yAApgqAC/RrEk=
    AAACvnicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQtE2ioUaFTEl9RUxBvqxOSk5JcU61TEV5foGtZax5RkpJYkxlf7BIf4ptVqKsQkA6XhyqtLtA1rEVr8UJQn1WrGCygb6BmAgQImwxDKUGaAgoB8geUMMQwpDPkMyQylDLkMqQx5DCVAdg5DIkMxEEYzGDIYMBQAxWIZqoFiRUBWJlg+laGWgQuotxSoKhWoIhEomg0k04G8aKhoHpAPMrMYrDsZaEsOEBcBdSowqBpcNVhp8NnghMFqg5cGf3CaVQ02A+SWSiCdBNGbWhDP3yUR/J2grlwgXcKQgdCF180lDGkMFmC3ZgLdXgAWAfkiGaK/rGr652CrINVqNYNFBq+B7l9ocNPgMNAHeWVfkpcGpgbNZuACRoAhenBjMsKM9AwN9AwDTZQdXKFRwcEgzaDEoAEMb3MGBwYPhgCGUKC9+xmeMrxjeM/kwJTGlMuUD1HKxAjVI8yAApgqAC/RrEk=
    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
    p(xt
    |x1, . . . , xt 1; ✓LST Mf ) =
    exp(ht 1xt)
    P
    x2
    exp(ht 1x)
    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
    p(xt
    |xt+1, . . . , xN ; ✓LST Mb) =
    exp(˜
    ht+1xt)
    P
    x2
    exp(˜
    ht+1x)
    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
    1SFEJDUJOHNJTTJOHJUFN
    5IJTGPSNVMBUJPODBOOPUFYQMBJOUIFQIFOPNFOPOUIBUDPNQBUJCMFDPNCJOBUJPOTEJ⒎FSJOTUZMFT

    View Slide

  7. 7
    $PODFQU.JYUVSFPGTUZMFT
    "OPVUpUDBOCFSFQSFTFOUFECZBMJOFBSDPNCJOBUJPOPGTUZMFWFDUPST
    p
    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
    AAACZHichVHLSsNAFD2Nr1ofrYogCFIsFVflRgTFVUEQl7a1tqAiSZzW0DQJSVqoxR/QreLClYKI+Blu/AEX/oAgLiu4ceFtGhAt6h1m5syZe+6cmVFtQ3c9oqeQ1NPb1z8QHowMDY+MRmNj41uuVXM0kdcsw3KKquIKQzdF3tM9QxRtRyhV1RAFtbLa3i/UhePqlrnpNWyxW1XKpl7SNcVjKmPvxRKUIj/i3UAOQAJBbFixG+xgHxY01FCFgAmPsQEFLrdtyCDYzO2iyZzDSPf3BY4QYW2NswRnKMxWeCzzajtgTV63a7q+WuNTDO4OK+NI0iPdUose6I5e6OPXWk2/RttLg2e1oxX2XvR4Kvf+r6rKs4eDL9Wfnj2UsOx71dm77TPtW2gdff3wvJVbySabc3RFr+z/kp7onm9g1t+064zIXiDCHyD/fO5usLWQkiklZxYT6bXgK8KYxizm+b2XkMY6NpDncwVOcIqz0LM0LE1Ik51UKRRoJvAtpJlP54CJ9A==
    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
    w
    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
    PVUpUWFDUPS
    NJYUVSFSBUJP
    CBTJTPGTUZMFT
    r
    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
    AAACZHichVHLSsNAFD2Nr1qrrRZBEEQsiqtyI4LiqiCCyz5sFWopSRw1NE1CkhZq8Qd0q7hwpSAifoYbf8BFf0AQlwpuXHibBkRFvcPMnDlzz50zM6pt6K5H1A5JPb19/QPhwchQdHgkFh8dK7pW3dFEQbMMy9lSFVcYuikKnu4ZYst2hFJTDbGpVlc7+5sN4bi6ZW54TVuUa8qeqe/qmuIxlXUq8SSlyI/pn0AOQBJBZKz4NbaxAwsa6qhBwITH2IACl1sJMgg2c2W0mHMY6f6+wCEirK1zluAMhdkqj3u8KgWsyetOTddXa3yKwd1h5TRm6YFu6IXu6Zae6P3XWi2/RsdLk2e1qxV2JXY0kX/7V1Xj2cP+p+pPzx52sex71dm77TOdW2hdfePg7CW/kpttzdElPbP/C2rTHd/AbLxqV1mRO0eEP0D+/tw/QXEhJVNKzi4m02vBV4QxiRnM83svIY11ZFDgcwWOcYLT0KMUlRLSeDdVCgWaBL6ENPUB6zOJ9Q==
    AAACZHichVHLSsNAFD2Nr1qrrRZBEEQsiqtyI4LiqiCCyz5sFWopSRw1NE1CkhZq8Qd0q7hwpSAifoYbf8BFf0AQlwpuXHibBkRFvcPMnDlzz50zM6pt6K5H1A5JPb19/QPhwchQdHgkFh8dK7pW3dFEQbMMy9lSFVcYuikKnu4ZYst2hFJTDbGpVlc7+5sN4bi6ZW54TVuUa8qeqe/qmuIxlXUq8SSlyI/pn0AOQBJBZKz4NbaxAwsa6qhBwITH2IACl1sJMgg2c2W0mHMY6f6+wCEirK1zluAMhdkqj3u8KgWsyetOTddXa3yKwd1h5TRm6YFu6IXu6Zae6P3XWi2/RsdLk2e1qxV2JXY0kX/7V1Xj2cP+p+pPzx52sex71dm77TOdW2hdfePg7CW/kpttzdElPbP/C2rTHd/AbLxqV1mRO0eEP0D+/tw/QXEhJVNKzi4m02vBV4QxiRnM83svIY11ZFDgcwWOcYLT0KMUlRLSeDdVCgWaBL6ENPUB6zOJ9Q==
    r =
    K
    X
    i=1
    pi
    · wi
    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
    K
    X
    i=1
    pi = 1
    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
    0  pi
     1
    AAACdnichVHLSsNAFD2Nr1pfrW4EQYql6qrciKC4Kojg0ldV0FKSOK2DaRKTtFKLP+APuBAXCiriZ7jxB1z4CeJSQRcuvE0DokW9w8ycOXPPnTMzumNKzyd6jCht7R2dXdHuWE9vX/9APDG47tkV1xA5wzZtd1PXPGFKS+R86Zti03GFVtZNsaHvzTf2N6rC9aRtrfk1R+TLWsmSRWloPlOFeIKS26bYTzoF2QRqIZ6iDAWRbAVqCFIIY8mOX2MbO7BhoIIyBCz4jE1o8LhtQQXBYS6POnMuIxnsCxwhxtoKZwnO0Jjd47HEq62QtXjdqOkFaoNPMbm7rEwiTQ90Qy90T7f0RB+/1qoHNRpeajzrTa1wCgPHw6tv/6rKPPvY/VL96dlHEbOBV8nenYBp3MJo6quHJy+rcyvp+jhd0DP7P6dHuuMbWNVX43JZrJwixh+g/nzuVrA+lVEpoy5Pp7IL4VdEMYIxTPJ7zyCLRSwhx+ce4AxXuI68K6NKWplopiqRUDOEb6HQJ7pMj6k=
    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
    Mixture
    ratio
    Style #1
    Style #2
    Style #3
    Style #4
    Style #K

    View Slide

  8. 8
    1SPQPTFENPEFM"SDIJUFDUVSFGPSNJYUVSFSBUJP
    0CUBJOJOHBNJYUVSFSBUJPBOEBCBTJTPGTUZMFTVTJOHBVUPFODPEFS
    PVUpUWFDUPS
    SFDPOTUSVDUFEPVUpUWFDUPS
    NJYUVSF
    SBUJPPG
    TUZMFT
    PCUBJOJOHBSFQSFTFOUBUJPOGPSUIFTUZMFPGBOPVUpU
    &BDIFMFNFOUPGQSFQSFTFOUTBNJYUVSFSBUJPBDDPSEJOHUPCBTJTPG
    TUZMFT
    SFDPOTUSVDUJOHTUZMFWFDUPS
    &BDISPXPGNBUSJY8SFQSFTFOUTUIFFMFNFOUPGCBTJTPGTUZMFT
    p = softmax(fc(z))
    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
    r = WT · p
    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
    z
    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
    p
    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
    r
    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
    AAACZHichVHLSsNAFD2Nr1qrrRZBEEQsiqtyI4LiqiCCyz5sFWopSRw1NE1CkhZq8Qd0q7hwpSAifoYbf8BFf0AQlwpuXHibBkRFvcPMnDlzz50zM6pt6K5H1A5JPb19/QPhwchQdHgkFh8dK7pW3dFEQbMMy9lSFVcYuikKnu4ZYst2hFJTDbGpVlc7+5sN4bi6ZW54TVuUa8qeqe/qmuIxlXUq8SSlyI/pn0AOQBJBZKz4NbaxAwsa6qhBwITH2IACl1sJMgg2c2W0mHMY6f6+wCEirK1zluAMhdkqj3u8KgWsyetOTddXa3yKwd1h5TRm6YFu6IXu6Zae6P3XWi2/RsdLk2e1qxV2JXY0kX/7V1Xj2cP+p+pPzx52sex71dm77TOdW2hdfePg7CW/kpttzdElPbP/C2rTHd/AbLxqV1mRO0eEP0D+/tw/QXEhJVNKzi4m02vBV4QxiRnM83svIY11ZFDgcwWOcYLT0KMUlRLSeDdVCgWaBL6ENPUB6zOJ9Q==

    View Slide

  9. 9
    1SPQPTFENPEFM-PTTGVODUJPOT
    3FDPOTUSVDUJPOMPTT
    $PNQBSFCFUXFFOJOQVUBOEPVUQVUWFDUPS4JNJMBSJUZJTDPTJOF
    TJNJMBSJUZBOEMPTTGVODUJPOJTIJOHFMPTT
    3FHVMBSJ[BUJPOMPTT
    5IFSFHVMBSJ[BUJPOBQQMJFEGPSFBDISPXUPCFDPNFVOJRVF
    Lreg = ||Wn
    · WT
    n
    I||
    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
    PVUpUWFDUPS
    SFDPOTUSVDUFEPVUpUWFDUPS
    NJYUVSF
    SBUJPPG
    TUZMFT
    z
    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
    p
    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
    r
    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
    AAACZHichVHLSsNAFD2Nr1qrrRZBEEQsiqtyI4LiqiCCyz5sFWopSRw1NE1CkhZq8Qd0q7hwpSAifoYbf8BFf0AQlwpuXHibBkRFvcPMnDlzz50zM6pt6K5H1A5JPb19/QPhwchQdHgkFh8dK7pW3dFEQbMMy9lSFVcYuikKnu4ZYst2hFJTDbGpVlc7+5sN4bi6ZW54TVuUa8qeqe/qmuIxlXUq8SSlyI/pn0AOQBJBZKz4NbaxAwsa6qhBwITH2IACl1sJMgg2c2W0mHMY6f6+wCEirK1zluAMhdkqj3u8KgWsyetOTddXa3yKwd1h5TRm6YFu6IXu6Zae6P3XWi2/RsdLk2e1qxV2JXY0kX/7V1Xj2cP+p+pPzx52sex71dm77TOdW2hdfePg7CW/kpttzdElPbP/C2rTHd/AbLxqV1mRO0eEP0D+/tw/QXEhJVNKzi4m02vBV4QxiRnM83svIY11ZFDgcwWOcYLT0KMUlRLSeDdVCgWaBL6ENPUB6zOJ9Q==
    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
    Lrecon =
    X
    z02Z\z(r)
    max(0, margin d(r, z) + d(r, z0))
    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
    0CUBJOJOHBNJYUVSFSBUJPBOEBCBTJTPGTUZMFTVTJOHBVUPFODPEFS

    View Slide

  10. 10
    1SPQPTFENPEFM0VUpUWFDUPSFYUSBDUJPO
    w 'FFEFBDIJOQVUJNBHFUP$//BOEFYUSBDU
    UIFJSGFBUVSFT
    w "MM$//TIBSFUIFQBSBNFUFS
    w 0VUpUWFDUPSJTDBMDVMBUFECZSFEVDJOHFBDI
    PVUQVUPG$//
    *ODFQUJPO7 *ODFQUJPO7 *ODFQUJPO7 *ODFQUJPO7
    PVUpUWFDUPS z
    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
    AAACZHichVHLSsNAFD2Nr1qrrRZBEKRYFFflRgTFlSCCS2vtA6qUJI4amiYhSQu1+AO6VVy4UhARP8ONP+CiPyCIywpuXHibBkRFvcPMnDlzz50zM6pt6K5H1ApJPb19/QPhwchQdHgkFh8dy7tWzdFETrMMyymqiisM3RQ5T/cMUbQdoVRVQxTUympnv1AXjqtb5pbXsMVOVdk39T1dUzymMofleIrS5EfyJ5ADkEIQG1b8BtvYhQUNNVQhYMJjbECBy60EGQSbuR00mXMY6f6+wBEirK1xluAMhdkKj/u8KgWsyetOTddXa3yKwd1hZRIz9Ei31KYHuqNnev+1VtOv0fHS4FntaoVdjh1PZN/+VVV59nDwqfrTs4c9LPledfZu+0znFlpXXz88b2eXN2eas3RFL+z/klp0zzcw66/adUZsXiDCHyB/f+6fID+fliktZxZSK2vBV4QxiWnM8XsvYgXr2ECOzxU4wSnOQk9SVEpI491UKRRoEvgS0tQH+zOJ/Q==
    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
    BWFSBHFQPPMJOH

    View Slide

  11. min

    X
    F
    (Ef + Eb) + eEe + sEs + rEr
    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
    11
    1SPQPTFENPEFM0WFSBMMBSDIJUFDUVSF
    Attribute Attribute Attribute Attribute
    VSE module BiLSTM module SE module
    CNN
    CNN
    CNN
    CNN
    VSE BiLSTM SE VSE BiLSTM SE VSE BiLSTM SE VSE BiLSTM SE
    Input module
    )BO
    0VSXPSL
    Ee
    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
    Es
    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
    Er
    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
    e, s, r
    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
    AAACi3ichVE9S8NQFD2N39Vq1UVwCRaLg5QbFRRxEERw1NaqoKUk8amhaRKStKClf0DcHZwURMTNVTcX/4BDf4I4Krg4eJtG/CjqDXnv3PPuue+89zTHNDyfqBaRWlrb2js6u6LdPbHevnj/wJpnl1xdZHXbtN0NTfWEaVgi6xu+KTYcV6hFzRTrWmGhvr5eFq5n2Naqv++IXFHdtYwdQ1d9pvLx5JbJxdtqXsjj8geueNWvmVuV8/EEpSgIuRkoIUggjGU7foEtbMOGjhKKELDgMzahwuNvEwoIDnM5VJhzGRnBukAVUdaWuEpwhcpsgcddzjZD1uK83tML1DrvYvLvslLGKD3QJT3TPV3RI7392qsS9Kh72edZa2iFk+87HMq8/qsq8uxj71P1p2cfO5gJvBrs3QmY+in0hr58cPycmU2PVpJ0Rk/s/5RqdMcnsMov+vmKSJ8gyg+g/LzuZrA2kVIopaxMJeYXw6foxDBGMMb3PY15LGEZWd73CNe4wa0UkyalWWmuUSpFQs0gvoW0+A7cPZet
    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
    +
    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
    +
    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
    +
    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
    74& #J-45.
    74& #J-45. 4&
    Ef , Eb
    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
    -PTTGVODUJPOPGGPSXBSEBOE
    CBDLXBSE-45.
    7JTVBMTFNBOUJDFNCFEEJOHMPTT
    PGUIF74&NPEVMF
    3FDPOTUSVDUMPTTPGUIF4&
    NPEVMF
    3FHVMBSJ[BUJPOMPTTPGUIF4&
    NPEVMF
    )ZQFSQBSBNFUFST

    View Slide

  12. 12
    &YQFSJNFOU.JTTJOHQSFEJDUJPO
    xa = arg max
    xc
    2C
    exp(ht 1xc)
    P
    x2C
    exp(ht 1x)
    +
    exp(˜
    ht+1xc)
    P
    x2C
    exp(˜
    ht+1x)
    + SS(F, {xc
    })
    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
    1SFEJDUJPOXJUI
    GPSXBSE-45.
    1SFEJDUJPOXJUI
    CBDLXBSE-45.
    4JNJMBSJUZ
    CFUXFFOUXPTFUT
    (JWFOPVUpUBOE
    BDBOEJEBUFJUFN

    ?
    ?
    ?
    &WBMVBUJPOUIFDPNQBUJCJMJUZ
    w 1SFEJDUJOHBOJUFNSFNPWFEGSPNBOPVUpU
    DSFBUFEBIVNBO
    w 5IFJUFNUIBUJTNPTUDPNQBUJCMFXJUIHJWFO
    PVUpUJTTFMFDUFE DBOEJEBUF" DBOEJEBUF#

    View Slide

  13. 13
    &YQFSJNFOU.JTTJOHQSFEJDUJPO
    %BUBTFU
    1PMZWPSF #J-45.74& )BO

    #J-45.4& PVSXPSL

    #J-45.74&4& PVSXPSL















    *20/ #J-45.
    #J-45.4& PVSXPSL









    "DD
    .FUIPE
    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

    View Slide

  14. 14
    &YQFSJNFOU4UZMFCBTJTWJTVBMJ[BUJPO
    7JTVBMJ[BUJPOUIFFMFNFOUPGTUZMFCBTJTXJUIUIFOFJHICPSPVUpUT
    p
    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
    AAACZHichVHLSsNAFD2Nr1ofrYogCFIsFVflRgTFVUEEl7a1tqAiSZzW0DQJSVqoxR/QreLClYKI+Blu/AEX/oAgLiu4ceFtGhAt6h1m5syZe+6cmVFtQ3c9oqeQ1NPb1z8QHowMDY+MRmNj41uuVXM0kdcsw3KKquIKQzdF3tM9QxRtRyhV1RAFtbLa3i/UhePqlrnpNWyxW1XKpl7SNcVjKmPvxRKUIj/i3UAOQAJBbFixG+xgHxY01FCFgAmPsQEFLrdtyCDYzO2iyZzDSPf3BY4QYW2NswRnKMxWeCzzajtgTV63a7q+WuNTDO4OK+NI0iPdUose6I5e6OPXWk2/RttLg2e1oxX2XvR4Kvf+r6rKs4eDL9Wfnj2UsOx71dm77TPtW2gdff3wvJVbySabc3RFr+z/kp7onm9g1t+064zIXiDCHyD/fO5usLWQkiklZxYT6bXgK8KYxizm+b2XkMY6NpDncwVOcIqz0LM0LE1Ik51UKRRoJvAtpJlP5zOJ8w==
    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
    r = WT · p
    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
    p = (1, 0, 0)
    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
    p = (0, 0, 1)
    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
    3FDPOTUSVDUTUZMFWFDUPSTQBDF
    "OPVUpUJTNBQQFEUPBQPJOU

    .JYUVSFSBUJPTQBDF
    "WFSUFYJTBOFMFNFOUPGCBTJT
    PGTUZMFT

    p = (0, 1, 0)
    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
    AAACcHichVHLSsNAFD2N7/qquhFcGC2VKlJuRFAEQRDBpVarhVpKEqcaTJOYpAUt/oA/4MKNCiLiZ7jxB1z0E8SdCm5ceJsGRIt6h5k5c+aeO2dmNMc0PJ+oFpFaWtvaOzq7ot09vX39sYHBLc8uu7rI6LZpu1lN9YRpWCLjG74pso4r1JJmim3tYLm+v10RrmfY1qZ/5Ih8Sd2zjKKhqz5TeUdelJM0LSvTMk0WYnFKURByM1BCEEcYa3bsBjvYhQ0dZZQgYMFnbEKFxy0HBQSHuTyqzLmMjGBf4ARR1pY5S3CGyuwBj3u8yoWsxet6TS9Q63yKyd1lpYwEPdItvdID3dETffxaqxrUqHs54llraIVT6D8d3nj/V1Xi2cf+l+pPzz6KmA+8GuzdCZj6LfSGvnJ89rqxkE5UJ+iKntn/JdXonm9gVd7063WRPkeUP0D5+dzNYGsmpVBKWZ+NL62EX9GJEYwjye89hyWsYg0ZPvcQZ7jAZeRFGpZGpbFGqhQJNUP4FtLUJ6ajjGI=
    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
    r
    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

    View Slide

  15. 15
    &YQFSJNFOU4UZMFCBTJTWJTVBMJ[BUJPO
    Style A Style B Style C Style D

    View Slide

  16. 16
    &YQFSJNFOU.JYJOHUXPTUZMFT
    Style A Style B Style C Style D
    Style A Style B Style C Style D
    Style A Style B Style C Style D
    Style A + Style B Style A + Style C
    Style A Style B Style C Style D
    Style A + Style B Style A + Style C
    +0.5⇥
    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
    +0.4⇥
    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
    0.6⇥
    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
    0.5⇥
    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
    =
    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
    =
    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
    AAACZHichVHLSsNAFD2N7/potQiCIMVScVVuRFAEoSCCy7baVlApSZxqaJqEJC1o8Qd0q7hwpSAifoYbf8BFf0AQlwpuXHibBkSLeoeZOXPmnjtnZlTb0F2PqBmSurp7evv6B8KDQ8MjkejoWMG1ao4m8pplWM6mqrjC0E2R93TPEJu2I5SqaoiiWllp7RfrwnF1y9zwDmyxU1X2TL2sa4rHVHa5FE1QivyIdwI5AAkEkbGiN9jGLixoqKEKARMeYwMKXG5bkEGwmdtBgzmHke7vCxwhzNoaZwnOUJit8LjHq62ANXndqun6ao1PMbg7rIwjSY90S6/0QHf0TB+/1mr4NVpeDnhW21phlyLHE+vv/6qqPHvY/1L96dlDGYu+V5292z7TuoXW1tcPz1/Xl3LJxgxd0Qv7v6Qm3fMNzPqbdp0VuQuE+QPkn8/dCQpzKZlScnY+kV4NvqIfk5jGLL/3AtJYQwZ5PlfgBKc4Cz1JQ1JMGm+nSqFAE8O3kKY+AYEzicA=
    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

    View Slide

  17. 17
    &YQFSJNFOU0VUpUHFOFSBUJPO
    &WBMVBUJPOXJUIGPSXBSE-45.
    &WBMVBUJPOXJUICBDLXBSE-45.
    4JNJMBSJUZCFUXFFO
    UIFHFOFSBUFEPVUpU
    BOEUIFUBSHFUTUZMFWFDUPS
    WT · ptarget
    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
    score(F|ptarget) = (Ef (F; ✓LST Mf ) + Eb(F; ✓LST Mb))
    + d(WT · pF , WT · ptarget)
    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
    #J-45.MJLFMJIPPE
    4UZMFWFDUPSTJNJMBSJUZ

    View Slide

  18. 18
    &YQFSJNFOU0VUpUHFOFSBUJPO 4VDDFTT

    Query item image Generated outfit
    Query style Mixture ratio
    Style A
    Style B
    Style C
    Style D
    Style A

    View Slide

  19. 19
    &YQFSJNFOU0VUpUHFOFSBUJPO 'BJMVSF

    Query item image Generated outfit
    Query style Mixture ratio
    Style A
    Style B
    Style C
    Style D
    Style A
    Style C
    Style D
    Style A
    Style B
    Style C
    Style D

    View Slide

  20. 20
    $PODMVTJPOBOE'VUVSF8PSL
    $PODMVTJPO
    'VUVSFXPSL
    w 8FQSPQPTFEUPSFQSFTFOUUIFTUZMFPGBOPVUpUBTBMJOFBSDPNCJOBUJPOPGBCBTJTPGTUZMFT
    w 8FQSPQPTFEBNPEFMBCMFUPMFBSOUIFPVUpUTFRVFODFBOETUZMFTJNVMUBOFPVTMZJOBOVOTVQFSWJTFE
    NBOOFS
    w *OBQSFEJDUJPOUBTL UIFQSPQPTFENPEFMPVUQFSGPSNFEUIFQSFWJPVTNPEFM
    w *OBHFOFSBUJPOUBTL UIFQSPQPTFENPEFMTVDDFFEFEJOHFOFSBUJOHPVUpUTXJUIBUZQJDBMTUZMF
    w *ODPSQPSBUJPOUIFBUUFOUJPONPEVMFUIBUBMMPXVTUPpOELFZJUFNTJOBHJWFOPVUpU
    w $PNQBSJTPOXJUIPUIFSNPEFMTUIBUBSFBCMFUPFYUSBDUTUZMFJOGPSNBUJPO
    w %FWFMPQNFOUBSFDPNNFOEFSTZTUFN

    View Slide

  21. 21
    3FGFSFODFT
    w 9JOUPOH)BO ;VYVBO8V :V(BOH+JBOH BOE-BSSZ4%BWJT-FBSOJOHGBTIJPODPNQBUJCJMJUZ
    XJUICJEJSFDUJPOBMMTUNT*O1SPDFFEJOHTPGUIF"$.PO.VMUJNFEJB$POGFSFODF"$. r

    w :VODIFOH-J -JBOHMJBOH$BP +JBOH;IV BOE+JFCP-VP.JOJOH'BTIJPO

    0VUpU$PNQPTJUJPO6TJOHBO&OEUP&OE%FFQ-FBSOJOH"QQSPBDIPO4FU%BUB

    *&&&5SBOTBDUJPOTPO.VMUJNFEJB
    r
    w 3VJEBO)F 8FF4VO-FF )XFF5PV/H BOE%BOJFM%BIMNFJFS"O6OTVQFSWJTFE/FVSBM
    "UUFOUJPO.PEFMGPS"TQFDU&YUSBDUJPO*O1SPDFFEJOHTPGUIFUI"OOVBM.FFUJOHPGUIF
    "TTPDJBUJPOGPS$PNQVUBUJPOBM-JOHVJTUJDT 7PMVNF-POH1BQFST
    "TTPDJBUJPOGPS$PNQVUBUJPOBM
    -JOHVJTUJDT 7BODPVWFS $BOBEB

    View Slide

  22. 22
    4VQQMFNFOUBSZ
    %BUBTFU$PNQBSJTPO
    IUUQTEMBDNPSHDJUBUJPODGN EPJE
    %BUBTFU
    1PMZWPSF
    *20/
    -BCFMFE
    PGPVUpUT &YBNQMF
    :FT
    PGVOJRVFJUFNT
    /P

    PGDBUFHPSJFT

    UPQT JODMVEFTPVUXFBST

    CPUUPNTTIPFT
    BDDFTTPSJFT JODMVEFTCBHT
    IBUT HMBTTFT XBUDIFT
    OFDLMBDFT FBSSJOHT FUD

    PVUXFBSTUPQT
    CPUUPNTTIPFTCBHT
    IBUTBDDFTTPSJFT

    View Slide

  23. 23
    4VQQMFNFOUBSZ
    &YQFSJNFOUTFUUJOHT
    .PEFM
    3//IJEEFOVOJUT
    4&IJEEFOVOJUT
    CBTJTTJ[F
    NBSHJO
    MPTTSBUJP
    FYUSBDUJPOUBTL


    $//BSDI *ODFQUJPO7
    0QUJNJ[FS .PNFOUVN4(%
    MFBSOJOHSBUF F
    NPNFOUVN
    8FJHIU%FDBZ F
    (SBEJFOU$MJQQJOH
    NJOJCBUDI
    FQPDI
    0QUJNJ[FS 5SBJOFS

    View Slide

  24. 24
    4VQQMFNFOUBSZ
    7JTVBMTFNBOUJDFNCFEEJOH
    CNN
    Lookup
    table
    - attribute1
    - attribute2
    - attribute3
    l(u, vpos, vneg) = max(0, margin d(u, vpos) + d(u, vneg))
    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
    AAACrnichVFNSxtRFD1OrbVpq7FuCt08DCkJ2nBHBIsgCEWwOzVNImgYZsaX+HC+mJmEasgf6B/ooisFkdKFP8KNf8CFG11Llyl000VvJkOrldY7zHvnnnfPfee9ZwWOimKiiyHtwfDDkUejjzNPnj4bG89OPK9Gfiu0ZcX2HT/csMxIOsqTlVjFjtwIQmm6liNr1u7b/nqtLcNI+d77eC+QdddseqqhbDNmysi+cwqtGdE2OoEfdRPgyWa3mFkUW675QRRoRrhm2FSeeC22b5QWxfTvPFEUjWyOSpSEuAv0FOSQxqqfPcYWtuHDRgsuJDzEjB2YiPjbhA5CwFwdHeZCRipZl+giw9oWV0muMJnd5bHJ2WbKepz3e0aJ2uZdHP5DVgrk6Zy+UI/O6Ctd089/9uokPfpe9ni2BloZGOMfX5R/3KtyeY6x80f1X88xGniTeFXsPUiY/insgb69/6lXXljPd17RIX1j/wd0Qad8Aq/93T5ak+ufkeEH0P++7rugOlvSqaSvzeWWltOnGMVLTKHA9z2PJaxgFRXe9wTnuMSVRlpVq2vGoFQbSjWTuBXazi/5GqLT
    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
    l(u, vpos, vneg) = max(0, margin d(u, vpos) + d(u, vneg))
    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
    l(v, upos, uneg) = max(0, margin d(v, upos) + d(v, uneg))
    AAACrnichVFNSxtRFD1OrbVpq7FuCt08DCkJ2nBHBIsgCEWwOzVNImgYZsaX+HC+mJmEasgf6B/ooisFkdKFP8KNf8CFG11Llyl000VvJkOrldY7zHvnnnfPfee9ZwWOimKiiyHtwfDDkUejjzNPnj4bG89OPK9Gfiu0ZcX2HT/csMxIOsqTlVjFjtwIQmm6liNr1u7b/nqtLcNI+d77eC+QdddseqqhbDNmysi+cwrtGdEyOoEfdRPgyWa3mFkUW675QRRoRrhm2FSeeC22b5QWxfTvPFEUjWyOSpSEuAv0FOSQxqqfPcYWtuHDRgsuJDzEjB2YiPjbhA5CwFwdHeZCRipZl+giw9oWV0muMJnd5bHJ2WbKepz3e0aJ2uZdHP5DVgrk6Zy+UI/O6Ctd089/9uokPfpe9ni2BloZGOMfX5R/3KtyeY6x80f1X88xGniTeFXsPUiY/insgb69/6lXXljPd17RIX1j/wd0Qad8Aq/93T5ak+ufkeEH0P++7rugOlvSqaSvzeWWltOnGMVLTKHA9z2PJaxgFRXe9wTnuMSVRlpVq2vGoFQbSjWTuBXazi/26aLS
    AAACrnichVFNSxtRFD1OrbVpq7FuCt08DCkJ2nBHBIsgCEWwOzVNImgYZsaX+HC+mJmEasgf6B/ooisFkdKFP8KNf8CFG11Llyl000VvJkOrldY7zHvnnnfPfee9ZwWOimKiiyHtwfDDkUejjzNPnj4bG89OPK9Gfiu0ZcX2HT/csMxIOsqTlVjFjtwIQmm6liNr1u7b/nqtLcNI+d77eC+QdddseqqhbDNmysi+cwrtGdEyOoEfdRPgyWa3mFkUW675QRRoRrhm2FSeeC22b5QWxfTvPFEUjWyOSpSEuAv0FOSQxqqfPcYWtuHDRgsuJDzEjB2YiPjbhA5CwFwdHeZCRipZl+giw9oWV0muMJnd5bHJ2WbKepz3e0aJ2uZdHP5DVgrk6Zy+UI/O6Ctd089/9uokPfpe9ni2BloZGOMfX5R/3KtyeY6x80f1X88xGniTeFXsPUiY/insgb69/6lXXljPd17RIX1j/wd0Qad8Aq/93T5ak+ufkeEH0P++7rugOlvSqaSvzeWWltOnGMVLTKHA9z2PJaxgFRXe9wTnuMSVRlpVq2vGoFQbSjWTuBXazi/26aLS
    AAACrnichVFNSxtRFD1OrbVpq7FuCt08DCkJ2nBHBIsgCEWwOzVNImgYZsaX+HC+mJmEasgf6B/ooisFkdKFP8KNf8CFG11Llyl000VvJkOrldY7zHvnnnfPfee9ZwWOimKiiyHtwfDDkUejjzNPnj4bG89OPK9Gfiu0ZcX2HT/csMxIOsqTlVjFjtwIQmm6liNr1u7b/nqtLcNI+d77eC+QdddseqqhbDNmysi+cwrtGdEyOoEfdRPgyWa3mFkUW675QRRoRrhm2FSeeC22b5QWxfTvPFEUjWyOSpSEuAv0FOSQxqqfPcYWtuHDRgsuJDzEjB2YiPjbhA5CwFwdHeZCRipZl+giw9oWV0muMJnd5bHJ2WbKepz3e0aJ2uZdHP5DVgrk6Zy+UI/O6Ctd089/9uokPfpe9ni2BloZGOMfX5R/3KtyeY6x80f1X88xGniTeFXsPUiY/insgb69/6lXXljPd17RIX1j/wd0Qad8Aq/93T5ak+ufkeEH0P++7rugOlvSqaSvzeWWltOnGMVLTKHA9z2PJaxgFRXe9wTnuMSVRlpVq2vGoFQbSjWTuBXazi/26aLS
    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
    l(v, upos, uneg) = max(0, margin d(v, upos) + d(v, uneg))
    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
    AAACrnichVFNSxtRFD1OrbVpq7FuCt08DCkJ2nBHBIsgCEWwOzVNImgYZsaX+HC+mJmEasgf6B/ooisFkdKFP8KNf8CFG11Llyl000VvJkOrldY7zHvnnnfPfee9ZwWOimKiiyHtwfDDkUejjzNPnj4bG89OPK9Gfiu0ZcX2HT/csMxIOsqTlVjFjtwIQmm6liNr1u7b/nqtLcNI+d77eC+QdddseqqhbDNmysi+cwrtGdEyOoEfdRPgyWa3mFkUW675QRRoRrhm2FSeeC22b5QWxfTvPFEUjWyOSpSEuAv0FOSQxqqfPcYWtuHDRgsuJDzEjB2YiPjbhA5CwFwdHeZCRipZl+giw9oWV0muMJnd5bHJ2WbKepz3e0aJ2uZdHP5DVgrk6Zy+UI/O6Ctd089/9uokPfpe9ni2BloZGOMfX5R/3KtyeY6x80f1X88xGniTeFXsPUiY/insgb69/6lXXljPd17RIX1j/wd0Qad8Aq/93T5ak+ufkeEH0P++7rugOlvSqaSvzeWWltOnGMVLTKHA9z2PJaxgFRXe9wTnuMSVRlpVq2vGoFQbSjWTuBXazi/26aLS
    AAACrnichVFNSxtRFD1OrbVpq7FuCt08DCkJ2nBHBIsgCEWwOzVNImgYZsaX+HC+mJmEasgf6B/ooisFkdKFP8KNf8CFG11Llyl000VvJkOrldY7zHvnnnfPfee9ZwWOimKiiyHtwfDDkUejjzNPnj4bG89OPK9Gfiu0ZcX2HT/csMxIOsqTlVjFjtwIQmm6liNr1u7b/nqtLcNI+d77eC+QdddseqqhbDNmysi+cwrtGdEyOoEfdRPgyWa3mFkUW675QRRoRrhm2FSeeC22b5QWxfTvPFEUjWyOSpSEuAv0FOSQxqqfPcYWtuHDRgsuJDzEjB2YiPjbhA5CwFwdHeZCRipZl+giw9oWV0muMJnd5bHJ2WbKepz3e0aJ2uZdHP5DVgrk6Zy+UI/O6Ctd089/9uokPfpe9ni2BloZGOMfX5R/3KtyeY6x80f1X88xGniTeFXsPUiY/insgb69/6lXXljPd17RIX1j/wd0Qad8Aq/93T5ak+ufkeEH0P++7rugOlvSqaSvzeWWltOnGMVLTKHA9z2PJaxgFRXe9wTnuMSVRlpVq2vGoFQbSjWTuBXazi/26aLS
    u
    v
    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
    JNBHFGFBUVSF
    BUUSJCVUFGFBUVSF

    View Slide

  25. 25
    4VQQMFNFOUBSZ
    0VUpU(FOFSBUJPO
    (JWFOBTFRVFODFBOE
    DBOEJEBUFJUFNT UIFNPEFM
    QSFEJDUTUIFOFYUJUFN
    1SFEJDUJPOPGUIFOFYUJUFN 4FMFDUJPOPGUPQLJUFNT
    "DDPSEJOHUPUIFDPNQVUFE
    TDPSF UPQLJUFNTBSF
    TFMFDUFE
    4FRVFODFFWBMVBUJPO
    &BDITFRVFODFBSFFWBMVBUFECZ
    UIFNPEFMBOECFDPNFTUIFJOQVU
    TFRVFODFGPSUIFOFYUJUFSBUJPO
    ʁ
    $BOEJEBUFJUFNT
    .JTTJOH1SFEJDUJPO
    P(xc
    |F) =
    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
    YYY
    P(xc
    |F) =
    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
    ZZZ
    P(xc
    |F) =
    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
    [[[
    P(xc
    |F) =
    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
    AAACbHichVG7SgNBFD1ZXzE+Eh+FEAQxKNqEuyIoghAQxTI+4gOVsLuOumRf7G6CMfoDthYWaqEgIn6GjT9g4SeIYKNgY+HNZkFU1DvMzJkz99w5M6M6hu75RA8Rqa6+obEp2hxraW1rjyc6Opc8u+hqIqfZhu2uqIonDN0SOV/3DbHiuEIxVUMsq4Wp6v5ySbiebluLftkRG6aybelbuqb4TK1mh3bz2v7M8GQ+kaI0BdH3E8ghSCGMrJ24wjo2YUNDESYELPiMDSjwuK1BBsFhbgMV5lxGerAvcIAYa4ucJThDYbbA4zav1kLW4nW1pheoNT7F4O6ysg8DdE/X9EJ3dEOP9P5rrUpQo+qlzLNa0wonHz/sWXj7V2Xy7GPnU/WnZx9bGA+86uzdCZjqLbSavrR3/LIwMT9QGaQLemL/5/RAt3wDq/SqXc6J+RPE+APk78/9EyyNpGVKy3Ojqcx0+BVRJNGPIX7vMWQwiyxyfK6JI5ziLPIsdUtJqbeWKkVCTRe+hDT4AfK9jK0=
    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
    YYY
    P(xc
    |F) =
    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
    AAACbHichVG7SgNBFD1ZXzE+Eh+FEAQxKNqEuyIoghAQxTI+4gOVsLuOumRf7G6CMfoDthYWaqEgIn6GjT9g4SeIYKNgY+HNZkFU1DvMzJkz99w5M6M6hu75RA8Rqa6+obEp2hxraW1rjyc6Opc8u+hqIqfZhu2uqIonDN0SOV/3DbHiuEIxVUMsq4Wp6v5ySbiebluLftkRG6aybelbuqb4TK1mh3bz2v7M8GQ+kaI0BdH3E8ghSCGMrJ24wjo2YUNDESYELPiMDSjwuK1BBsFhbgMV5lxGerAvcIAYa4ucJThDYbbA4zav1kLW4nW1pheoNT7F4O6ysg8DdE/X9EJ3dEOP9P5rrUpQo+qlzLNa0wonHz/sWXj7V2Xy7GPnU/WnZx9bGA+86uzdCZjqLbSavrR3/LIwMT9QGaQLemL/5/RAt3wDq/SqXc6J+RPE+APk78/9EyyNpGVKy3Ojqcx0+BVRJNGPIX7vMWQwiyxyfK6JI5ziLPIsdUtJqbeWKkVCTRe+hDT4AfK9jK0=
    ZZZ
    P(xc
    |F) =
    AAACbHichVG7SgNBFD1ZXzE+Eh+FEAQxKNqEuyIoghAQxTI+4gOVsLuOumRf7G6CMfoDthYWaqEgIn6GjT9g4SeIYKNgY+HNZkFU1DvMzJkz99w5M6M6hu75RA8Rqa6+obEp2hxraW1rjyc6Opc8u+hqIqfZhu2uqIonDN0SOV/3DbHiuEIxVUMsq4Wp6v5ySbiebluLftkRG6aybelbuqb4TK1mh3bz2v7M8GQ+kaI0BdH3E8ghSCGMrJ24wjo2YUNDESYELPiMDSjwuK1BBsFhbgMV5lxGerAvcIAYa4ucJThDYbbA4zav1kLW4nW1pheoNT7F4O6ysg8DdE/X9EJ3dEOP9P5rrUpQo+qlzLNa0wonHz/sWXj7V2Xy7GPnU/WnZx9bGA+86uzdCZjqLbSavrR3/LIwMT9QGaQLemL/5/RAt3wDq/SqXc6J+RPE+APk78/9EyyNpGVKy3Ojqcx0+BVRJNGPIX7vMWQwiyxyfK6JI5ziLPIsdUtJqbeWKkVCTRe+hDT4AfK9jK0=
    AAACbHichVG7SgNBFD1ZXzE+Eh+FEAQxKNqEuyIoghAQxTI+4gOVsLuOumRf7G6CMfoDthYWaqEgIn6GjT9g4SeIYKNgY+HNZkFU1DvMzJkz99w5M6M6hu75RA8Rqa6+obEp2hxraW1rjyc6Opc8u+hqIqfZhu2uqIonDN0SOV/3DbHiuEIxVUMsq4Wp6v5ySbiebluLftkRG6aybelbuqb4TK1mh3bz2v7M8GQ+kaI0BdH3E8ghSCGMrJ24wjo2YUNDESYELPiMDSjwuK1BBsFhbgMV5lxGerAvcIAYa4ucJThDYbbA4zav1kLW4nW1pheoNT7F4O6ysg8DdE/X9EJ3dEOP9P5rrUpQo+qlzLNa0wonHz/sWXj7V2Xy7GPnU/WnZx9bGA+86uzdCZjqLbSavrR3/LIwMT9QGaQLemL/5/RAt3wDq/SqXc6J+RPE+APk78/9EyyNpGVKy3Ojqcx0+BVRJNGPIX7vMWQwiyxyfK6JI5ziLPIsdUtJqbeWKkVCTRe+hDT4AfK9jK0=
    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
    [[[
    P(F) =
    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
    P(F) =
    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
    P(F) =
    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
    QQQ
    RRR
    SSS
    score(F|ptarget) = (Ef (F; ✓LST Mf ) + Eb(F; ✓LST Mb))
    + d(WT · pF , WT · ptarget)
    AAAC4HichVHPa9RAFH6JP1pTtWl7EbwMLl2yVJcXESwWoSC7eFBou7vdQlNDZnZ2G5pNQjK7UOPexYt4EvSkICL+GV76D3jo0aN4rODFg2+zwR8t6guZee9773vvmxkeB36qEA81/dTpM2enps8ZM+cvXJw15+Y302iQCNkSURAlW9xLZeCHsqV8FcitOJFenweyzffujPPtoUxSPwqbaj+WO32vF/pdX3iKINfMUhEl0qo/it1MeUlPqlGF3WZG+ZpVc7tWfcVRu1J5bnav0bzfpdwSq7n8GM5HlQpzHKO8xBxOKOtY7QdN5ohOpFjs1q+y38Ofc1yzhFXMjZ107MIpQWFrkfkWHOhABAIG0AcJISjyA/AgpW8bbECICduBjLCEPD/PSxiBQdwBVUmq8Ajdo7VH0XaBhhSPe6Y5W9CUgP6EmAwW8SO+wyM8wPf4Gb//tVeW9xhr2aedT7gydmefXGp8+y+rT7uC3V+sf2pW0IXlXKtP2uMcGZ9CTPjDh8+PGrc2FrMyvsYvpP8VHuIHOkE4/CrerMuNl2DQA9jHr/uks3m9amPVXr9RWq0VTzENl+EKWHTfN2EV7sIatGjuJ21KM7U5neuP9af6s0mprhWcBfjD9Bc/AKStsoo=
    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
    xa = arg max
    xc
    2C
    exp(ht 1xc)
    P
    x2C
    exp(ht 1x)
    +
    exp(˜
    ht+1xc)
    P
    x2C
    exp(˜
    ht+1x)
    + SS(F, {xc
    })
    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
    AAADIXichZFNa9RAGMefxLc2vnTVS8HL0KWyZXWZiKAIQqEoPXZ33bbQKWEynd0dmjeS2SU15Av4BTx4akVE/ArevOhNBA/FTyAeK3jx4JNsfF2sE5J55nl+/yf/mXEjTyWa0kPDPHHy1OkzM7PW2XPnL8zVLl5aT8JRLGRPhF4Yb7o8kZ4KZE8r7cnNKJbcdz254e6uFPWNsYwTFQYP9F4kt30+CFRfCa4x5dRepQ4ndwnj8YD5PHWy1BGEqYCs5IT1Yy4yJtOoMXQyfd3OsbhE8owlIx/JnxwS5AdCUiRIk1i/qZlW3o7MhjkizQI5ps0Ui6TVJGzAfZ+Tbrdx/xphhUuWLzm1Om3RcpDpwK6COlRjLaw9BwY7EIKAEfggIQCNsQccEny2wAYKEea2IcNcjJEq6xJysFA7QkoiwTG7i98BrraqbIDromdSqgX+xcM3RiWBRfqBvqBH9A19ST/Rb//slZU9Ci97OLsTrYycuUfz3a//Vfk4axj+Uh3rWUMfbpdeFXqPykyxCzHRjx8+Pure6SxmV+kB/Yz+9+khfY07CMZfxLO27DwBCy/A/vu4p4P1Gy2btuz2zfryveoqZuAKLEADz/sWLMMqrEEPhLFgrBpto2M+Nd+a78z3E9Q0Ks1l+GOYH78D1dLNCw==
    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
    NPTU
    DPNQBUJCMF
    TFDPOE
    UIJSE
    P(xc
    |F) =
    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

    View Slide

  26. 26
    &YQFSJNFOU4UZMFCBTJTWJTVBMJ[BUJPO
    Style A Style B Style C Style D
    e B Style C Style D
    w 4UZMF"5IFTFPVUpUTIBWFBHFOUMFDPMPSTDIFNFCBTFE
    POQBMFUPOFTSFNJOJTDFOUPGTQSJOHPSFBSMZTVNNFS
    5IFNBJOJUFNTPGUIJTTUZMFBSFTLJSUTPSTJNQMZ
    EFTJHOFEJUFNT
    w 4UZMF#5IJTTUZMFJTEPNJOBUFECZTBOEBMTBOEKFBOT
    XIJDINBZCFBTTPDJBUFEXJUITVNNFS*UIBTIJHI
    DPOUSBTUDPMPSTDPNQBSFEXJUI4UZMF"
    w 4UZMF$5IJTTUZMFDPOUBJOTBMPUPGEBSLBOECMBDL
    JUFNT4JODFUIFSFBSFNBOZJUFNTNBEFXJUIMFBUIFS
    PSNFUBM UIJTTUZMFTVHHFTUTTUSFOHUIBOEJOEJWJEVBMJUZ
    w 4UZMF%5IJTTUZMFDPOTJTUTPGXJOUFSPVUpUT 4PNF
    PVUFSDMPUIFTBSFNBEFXJUIUIJDLGBCSJDT TVDIBTGVS
    *OBEEJUJPO UIFSFBSFIJHIIFFMCPPUTBOEHPME
    BDDFTTPSJFT

    View Slide