Educating Text Autoencoders: Latent Representation Guidance via - - PowerPoint PPT Presentation
Educating Text Autoencoders: Latent Representation Guidance via - - PowerPoint PPT Presentation
Educating Text Autoencoders: Latent Representation Guidance via Denoising Tianxiao Shen Jonas Mueller Regina Barzilay Tommi Jaakkola Text Autoencoders Represent sentences as vectors in a latent space This talk is awesome encoder decoder
Text Autoencoders
Represent sentences as vectors in a latent space
This talk is awesome
encoder decoder
This talk is awesome
Text Autoencoders
This talk was awesome
tense vector
+
This talk is awful
- sentiment
vector
Represent sentences as vectors in a latent space Manipulate sentences via modifying their latent representation
This talkisawesome
Latent Space Geometry
This talk was awesome This talk is awesome
Sentence Space Latent Space
It was sunny yesterday It’s sunny today
Which mapping between sentences and latent vectors will be learned?
?
Latent Space Geometry
Fortuitous geometry that captures sentence semantics is unlikely to arise
This talk was awesome This talk is awesome
Sentence Space Latent Space
It was sunny yesterday It’s sunny today
AAE Latent Space
Latent Space Geometry
Fortuitous geometry that captures sentence semantics is unlikely to arise Minimal latent space manipulations can yield random, unpredictable changes in the resulting text
This talk was awesome This talk is awesome
Sentence Space Latent Space
It was sunny yesterday It’s sunny today
AAE Latent Space
Adversarial Autoencoder (AAE)
[Makhzani et al., 2015]
encoder , decoder , discriminator E
<latexit sha1_base64="jaHG0f1sBa5w6CahuBe9dhn5kTI=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FJOAxAfOAZAmzk95kzOzsMjMrhJAv8OJBEa9+kjf/xkmyB0saCiqunuChLBtXHdbye3sbm1vZPfLeztHxweFY9PWjpOFcMmi0WsOgHVKLjEpuFGYCdRSKNAYDsY3839hMqzWP5YCYJ+hEdSh5yRo2VGrV+seSW3QXIOvEyUoIM9X7xqzeIWRqhNExQrbuemxh/SpXhTOCs0Es1JpSN6RC7lkoaofani0Nn5MIqAxLGypY0ZKH+npjSOtJFNjOiJqRXvXm4n9eNzXhjT/lMkNSrZcFKaCmJjMvyYDrpAZMbGEMsXtrYSNqKLM2GwKNgRv9eV10roqe5XybaNSqtayOPJwBudwCR5cQxXuoQ5NYIDwDK/w5jw6L86787FszTnZzCn8gfP5A520jNg=</latexit>z
<latexit sha1_base64="q5P6dhkuGC2Q8lVi/5jR942U=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FBPGYgHlAsoTZSW8yZnZ2mZkV4hLw7sWDIl79JG/+jZPHQaMFDUVN91dQSK4Nq75eRWVtfWN/Kbha3tnd294v5BU8epYthgsYhVO6AaBZfYMNwIbCcKaRQIbAWjq6nfukeleSxvzThBP6IDyUPOqLFS/aFXLldwbyl3gLUoIFar3iZ7cfszRCaZigWnc8NzF+RpXhTOCk0E01JpSN6A7lkoaofaz2aETcmKVPgljZUsaMlN/TmQ0nocBbYzomaol72p+J/XSU14WdcJqlByeaLwlQE5Pp16TPFTIjxpZQpri9lbAhVZQZm03BhuAtv/yXNM/KXqV8Wa+UqteP8zjycATHcAoenEMVbqAGDWCA8AQv8OrcOc/Om/M+b805iwgP4Recj28UZI2O</latexit>G
<latexit sha1_base64="gx1WBYLCKHbjbkozjZKCMVTo7r4=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FRPSYgHlAsoTZSW8yZnZ2mZkVQsgXePGgiFc/yZt/4yTZgyYWNBRV3XR3BYng2rjut5NbW9/Y3MpvF3Z29/YPiodHTR2nimGDxSJW7YBqFxiw3AjsJ0opFEgsBWMbmZ+6wmV5rF8MOME/YgOJA85o8ZK9bteseSW3TnIKvEyUoIMtV7xq9uPWRqhNExQrTuemxh/QpXhTOC0E01JpSN6A7lkoaofYn80On5MwqfRLGypY0ZK7+npjQSOtxFNjOiJqhXvZm4n9eJzXhlT/hMkNSrZYFKaCmJjMviZ9rpAZMbaEMsXtrYQNqaLM2GwKNgRv+eV0rwoe5Xydb1Sqt5mceThBE7hHDy4hCrcQw0awADhGV7hzXl0Xpx352PRmnOymWP4A+fzB6C8jNo=</latexit>x
<latexit sha1_base64="3pjpA3+sdcpWmb17KxkWg1NB7c=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FBPGYgHlAsoTZSW8yZnZ2mZkVwxLw7sWDIl79JG/+jZPHQaMFDUVN91dQSK4Nq75eRWVtfWN/Kbha3tnd294v5BU8epYthgsYhVO6AaBZfYMNwIbCcKaRQIbAWjq6nfukeleSxvzThBP6IDyUPOqLFS/aFXLldwbyl3gLUoIFar3iZ7cfszRCaZigWnc8NzF+RpXhTOCk0E01JpSN6A7lkoaofaz2aETcmKVPgljZUsaMlN/TmQ0nocBbYzomaol72p+J/XSU14WdcJqlByeaLwlQE5Pp16TPFTIjxpZQpri9lbAhVZQZm03BhuAtv/yXNM/KXqV8Wa+UqteP8zjycATHcAoenEMVbqAGDWCA8AQv8OrcOc/Om/M+b805iwgP4Recj28RXI2M</latexit>This talk is awesome
reconstruction loss
D
<latexit sha1_base64="w1WwdmCQgKP8+X1VJ/5sTU/pn/I=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FVPCYgHlAsoTZSW8yZnZ2mZkVQsgXePGgiFc/yZt/4yTZgyYWNBRV3XR3BYng2rjut5NbW9/Y3MpvF3Z29/YPiodHTR2nimGDxSJW7YBqFxiw3AjsJ0opFEgsBWMbmZ+6wmV5rF8MOME/YgOJA85o8ZK9dteseSW3TnIKvEyUoIMtV7xq9uPWRqhNExQrTuemxh/QpXhTOC0E01JpSN6A7lkoaofYn80On5MwqfRLGypY0ZK7+npjQSOtxFNjOiJqhXvZm4n9eJzXhlT/hMkNSrZYFKaCmJjMviZ9rpAZMbaEMsXtrYQNqaLM2GwKNgRv+eV0rwoe5Xydb1Sqt5lceThBE7hHDy4hCrcQw0awADhGV7hzXl0Xpx352PRmnOymWP4A+fzB5wjNc=</latexit>p(z)
<latexit sha1_base64="Vm9uwHja0Cr2XJrya0m2u7L26PU=">AB63icbVBNSwMxEJ2tX7V+VT16CRahXsquFKq3giAeK9gPaJeSTbNtaJdkqxQl4K/wIsHRbz6h7z5b8y2PWjrg4HezPMzAtizrRx3W8nt7a+sbmV3y7s7O7tHxQPj1o6ShShTRLxSHUCrClnkjYNM5x2YkWxCDhtB+PrzG8/UKVZJO/NJKa+wEPJQkawyaS4/HjeL5bcijsDWiXegpRgUa/+NUbRCQRVBrCsdZdz42Nn2JlGOF0WuglmsaYjPGQdi2VWFDtp7Nbp+jMKgMURsqWNGim/p5IsdB6IgLbKbAZ6WUvE/zuokJL/2UyTgxVJL5ojDhyEQoexwNmKLE8IklmChmb0VkhBUmxsZTsCF4y+vktZFxatWru6qpfrN0zyOPJzAKZTBgxrU4RYa0AQCI3iGV3hzhPivDsf89acs4jwGP7A+fwBqcObQ=</latexit>adversarial loss
This talk is awesome
x
<latexit sha1_base64="3pjpA3+sdcpWmb17KxkWg1NB7c=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FBPGYgHlAsoTZSW8yZnZ2mZkVwxLw7sWDIl79JG/+jZPHQaMFDUVN91dQSK4Nq75eRWVtfWN/Kbha3tnd294v5BU8epYthgsYhVO6AaBZfYMNwIbCcKaRQIbAWjq6nfukeleSxvzThBP6IDyUPOqLFS/aFXLldwbyl3gLUoIFar3iZ7cfszRCaZigWnc8NzF+RpXhTOCk0E01JpSN6A7lkoaofaz2aETcmKVPgljZUsaMlN/TmQ0nocBbYzomaol72p+J/XSU14WdcJqlByeaLwlQE5Pp16TPFTIjxpZQpri9lbAhVZQZm03BhuAtv/yXNM/KXqV8Wa+UqteP8zjycATHcAoenEMVbqAGDWCA8AQv8OrcOc/Om/M+b805iwgP4Recj28RXI2M</latexit>min
E,G max D
Lrec − λLadv
<latexit sha1_base64="KmHQ+z8AjUNlzY8GN4MNOeSuC+8=">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</latexit>E
<latexit sha1_base64="pWrBzfpVufV4naiCogWV9S+MqJs=">AB9HicbVBNS8NAEJ3Urxq/qh69LJZCvZRECuqtIAWPFWwrtKFstpt26W4SdzeFNvR3ePGgiFd/jDf/jds2B219MPB4b4aZeX7MmdKO823lNja3tnfyu/be/sHhUeH4pKWiRBLaJBGP5KOPFeUspE3NKePsaRY+Jy2/dHt3G+PqVQsCh/0JKaewIOQBYxgbSvNO0qJlBcnl7Y9V6h6FScBdA6cTNShAyNXuGr249ImioCcdKdVwn1l6KpWaE05ndTRSNMRnhAe0YGmJBlZcujp6hklH6KIikqVCjhfp7IsVCqYnwTafAeqhWvbn4n9dJdHDtpSyME01DslwUJBzpCM0TQH0mKdF8YgmkplbERliYk2OdkmBHf15XSuqy41crNfbVYq2dx5OEMzqEMLlxBDe6gAU0g8ATP8Apv1th6sd6tj2VrzspmTuEPrM8f/6+Q+Q=</latexit>G
<latexit sha1_base64="hXZqviBsmUQqQGwr2Sc4CvsupiM=">AB9HicbVBNS8NAEJ34WeNX1aOXxVKol5JIQb0VRPRYwX5AG8pmu2mXbjZxd1NoQ3+HFw+KePXHePfuG1z0NYHA4/3ZpiZ58ecKe0439ba+sbm1nZux97d2z84zB8dN1SUSELrJOKRbPlYUc4ErWumOW3FkuLQ57TpD29mfnNEpWKReNTjmHoh7gsWMIK1kbzipKNYiOLS5Ny+6+YLTtmZA60SNyMFyFDr5r86vYgkIRWacKxU23Vi7aVYakY4ndqdRNEYkyHu07ahAodUen86CkqGqWHgkiaEhrN1d8TKQ6VGoe+6QyxHqhlbyb+57UTHVx5KRNxoqkgi0VBwpGO0CwB1GOSEs3HhmAimbkVkQGWmGiTk21CcJdfXiWNi7JbKV8/VArV2yOHJzCGZTAhUuowj3UoA4EnuAZXuHNGlkv1rv1sWhds7KZE/gD6/MHAsaQ+w=</latexit>D
<latexit sha1_base64="BkYWtfe7+OkEV4gwnrmRnKw/E5c=">AB9HicbVBNS8NAEJ34WeNX1aOXxVKol5JIQb0VPBYwX5AG8pmu2mXbjZxd1NoQ3+HFw+KePXHePfuG1z0NYHA4/3ZpiZ58ecKe0439ba+sbm1nZux97d2z84zB8dN1SUSELrJOKRbPlYUc4ErWumOW3FkuLQ57TpD29mfnNEpWKReNTjmHoh7gsWMIK1kbzipKNYiOLS5Ny+7eYLTtmZA60SNyMFyFDr5r86vYgkIRWacKxU23Vi7aVYakY4ndqdRNEYkyHu07ahAodUen86CkqGqWHgkiaEhrN1d8TKQ6VGoe+6QyxHqhlbyb+57UTHVx5KRNxoqkgi0VBwpGO0CwB1GOSEs3HhmAimbkVkQGWmGiTk21CcJdfXiWNi7JbKV8/VArVuyOHJzCGZTAhUuowj3UoA4EnuAZXuHNGlkv1rv1sWhds7KZE/gD6/MH/iuQ+A=</latexit>sample to generate new data z ∼ p(z), x ∼ pG(x|z)
<latexit sha1_base64="Yo8xQgU091/mBCITSaS45dNrSEg=">ACA3icbZDLSsNAFIYn9VbrLepON4NFaEFKIgV1VxDRZQV7gTaEyXTSDp1JwsxE2saCG1/FjQtF3PoS7nwbp20W2vrDwMd/zuHM+b2IUaks69vILC2vrK5l13Mbm1vbO+buXl2GscCkhkMWiqaHJGE0IDVFSPNSBDEPUYaXv9yUm/cEyFpGNypYUQcjroB9SlGSlueTBqS8phVBgVT+Bgxu51YfAwKrpm3ipZU8FsFPIg1RV1/xqd0IcxIozJCULduKlJMgoShmZJxrx5JECPdRl7Q0BogT6STG8bwWDsd6IdCv0DBqft7IkFcyiH3dCdHqifnaxPzv1orVv65k9AgihUJ8GyRHzOoQjgJBHaoIFixoQaEBdV/hbiHBMJKx5bTIdjzJy9C/bRkl0sXt+V85SqNIwsOwREoABucgQq4AVQAxg8gmfwCt6MJ+PFeDc+Zq0ZI53ZB39kfP4AIxeWlg=</latexit>Introduce a perturbation process that maps to nearby (e.g., randomly drop each word with probability ), and ask the model to reconstruct from [Vincent et al., 2008]
p
<latexit sha1_base64="YOmXK/WCv8UzfFcRntuJ3ElNsJQ=">ACBnicbZDLSgMxGIUz9VbH26hLEYKl0IKUGSmou4KgLivYC7TDkEkzbWjmQpKRtmNBcOruHGhiFufwZ1vY9rpQlsPBD7O+UPyHzdiVEjT/NYyS8srq2vZdX1jc2t7x9jdq4sw5pjUcMhC3nSRIwGpCapZKQZcYJ8l5G27+Y5I07wgUNg1s5jIjto25APYqRVJZjHOZHbUF9GBVGxWM4SNm5KgzuR0U9coycWTKngotgzSAHZqo6xle7E+LYJ4HEDAnRsxI2gnikmJGxno7FiRCuI+6pKUwQD4RdjJdYwzyulAL+TqBJO3d83EuQLMfRdNekj2RPz2cT8L2vF0juzExpEsSQBTh/yYgZlCedwA7lBEs2VIAwp+qvEPcQR1iq5nRVgjW/8iLUT0pWuXR+U85VLh/SOrLgAByBArDAKaiAa1AFNYDBI3gGr+BNe9JetHftIx3NaLMK98EfaZ8/v9qX1A=</latexit>Our Model: Denoising AAE (DAAE)
x
<latexit sha1_base64="2ZIqhx3I82nihFPomQgoMG/1/Fw=">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</latexit>˜ x
<latexit sha1_base64="2Hi2mdBLMEYuYQUs4klUtYDME6Y=">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</latexit>x
<latexit sha1_base64="2ZIqhx3I82nihFPomQgoMG/1/Fw=">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</latexit>˜ x
<latexit sha1_base64="2Hi2mdBLMEYuYQUs4klUtYDME6Y=">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</latexit>C
<latexit sha1_base64="7R7s/zFLUwS43xPyGmSKCEDOSM=">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</latexit>This talk is awesome This talk is awesome talk is awesome This talk is This awesome talk …
C
<latexit sha1_base64="7R7s/zFLUwS43xPyGmSKCEDOSM=">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</latexit>x
<latexit sha1_base64="3pjpA3+sdcpWmb17KxkWg1NB7c=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FBPGYgHlAsoTZSW8yZnZ2mZkVwxLw7sWDIl79JG/+jZPHQaMFDUVN91dQSK4Nq75eRWVtfWN/Kbha3tnd294v5BU8epYthgsYhVO6AaBZfYMNwIbCcKaRQIbAWjq6nfukeleSxvzThBP6IDyUPOqLFS/aFXLldwbyl3gLUoIFar3iZ7cfszRCaZigWnc8NzF+RpXhTOCk0E01JpSN6A7lkoaofaz2aETcmKVPgljZUsaMlN/TmQ0nocBbYzomaol72p+J/XSU14WdcJqlByeaLwlQE5Pp16TPFTIjxpZQpri9lbAhVZQZm03BhuAtv/yXNM/KXqV8Wa+UqteP8zjycATHcAoenEMVbqAGDWCA8AQv8OrcOc/Om/M+b805iwgP4Recj28RXI2M</latexit>E
<latexit sha1_base64="jaHG0f1sBa5w6CahuBe9dhn5kTI=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FJOAxAfOAZAmzk95kzOzsMjMrhJAv8OJBEa9+kjf/xkmyB0saCiqunuChLBtXHdbye3sbm1vZPfLeztHxweFY9PWjpOFcMmi0WsOgHVKLjEpuFGYCdRSKNAYDsY3839hMqzWP5YCYJ+hEdSh5yRo2VGrV+seSW3QXIOvEyUoIM9X7xqzeIWRqhNExQrbuemxh/SpXhTOCs0Es1JpSN6RC7lkoaofani0Nn5MIqAxLGypY0ZKH+npjSOtJFNjOiJqRXvXm4n9eNzXhjT/lMkNSrZcFKaCmJjMvyYDrpAZMbGEMsXtrYSNqKLM2GwKNgRv9eV10roqe5XybaNSqtayOPJwBudwCR5cQxXuoQ5NYIDwDK/w5jw6L86787FszTnZzCn8gfP5A520jNg=</latexit>z
<latexit sha1_base64="q5P6dhkuGC2Q8lVi/5jR942U=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FBPGYgHlAsoTZSW8yZnZ2mZkV4hLw7sWDIl79JG/+jZPHQaMFDUVN91dQSK4Nq75eRWVtfWN/Kbha3tnd294v5BU8epYthgsYhVO6AaBZfYMNwIbCcKaRQIbAWjq6nfukeleSxvzThBP6IDyUPOqLFS/aFXLldwbyl3gLUoIFar3iZ7cfszRCaZigWnc8NzF+RpXhTOCk0E01JpSN6A7lkoaofaz2aETcmKVPgljZUsaMlN/TmQ0nocBbYzomaol72p+J/XSU14WdcJqlByeaLwlQE5Pp16TPFTIjxpZQpri9lbAhVZQZm03BhuAtv/yXNM/KXqV8Wa+UqteP8zjycATHcAoenEMVbqAGDWCA8AQv8OrcOc/Om/M+b805iwgP4Recj28UZI2O</latexit>G
<latexit sha1_base64="gx1WBYLCKHbjbkozjZKCMVTo7r4=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FRPSYgHlAsoTZSW8yZnZ2mZkVQsgXePGgiFc/yZt/4yTZgyYWNBRV3XR3BYng2rjut5NbW9/Y3MpvF3Z29/YPiodHTR2nimGDxSJW7YBqFxiw3AjsJ0opFEgsBWMbmZ+6wmV5rF8MOME/YgOJA85o8ZK9bteseSW3TnIKvEyUoIMtV7xq9uPWRqhNExQrTuemxh/QpXhTOC0E01JpSN6A7lkoaofYn80On5MwqfRLGypY0ZK7+npjQSOtxFNjOiJqhXvZm4n9eJzXhlT/hMkNSrZYFKaCmJjMviZ9rpAZMbaEMsXtrYQNqaLM2GwKNgRv+eV0rwoe5Xydb1Sqt5mceThBE7hHDy4hCrcQw0awADhGV7hzXl0Xpx352PRmnOymWP4A+fzB6C8jNo=</latexit>x
<latexit sha1_base64="3pjpA3+sdcpWmb17KxkWg1NB7c=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FBPGYgHlAsoTZSW8yZnZ2mZkVwxLw7sWDIl79JG/+jZPHQaMFDUVN91dQSK4Nq75eRWVtfWN/Kbha3tnd294v5BU8epYthgsYhVO6AaBZfYMNwIbCcKaRQIbAWjq6nfukeleSxvzThBP6IDyUPOqLFS/aFXLldwbyl3gLUoIFar3iZ7cfszRCaZigWnc8NzF+RpXhTOCk0E01JpSN6A7lkoaofaz2aETcmKVPgljZUsaMlN/TmQ0nocBbYzomaol72p+J/XSU14WdcJqlByeaLwlQE5Pp16TPFTIjxpZQpri9lbAhVZQZm03BhuAtv/yXNM/KXqV8Wa+UqteP8zjycATHcAoenEMVbqAGDWCA8AQv8OrcOc/Om/M+b805iwgP4Recj28RXI2M</latexit>This talk is awesome
reconstruction loss
D
<latexit sha1_base64="w1WwdmCQgKP8+X1VJ/5sTU/pn/I=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FVPCYgHlAsoTZSW8yZnZ2mZkVQsgXePGgiFc/yZt/4yTZgyYWNBRV3XR3BYng2rjut5NbW9/Y3MpvF3Z29/YPiodHTR2nimGDxSJW7YBqFxiw3AjsJ0opFEgsBWMbmZ+6wmV5rF8MOME/YgOJA85o8ZK9dteseSW3TnIKvEyUoIMtV7xq9uPWRqhNExQrTuemxh/QpXhTOC0E01JpSN6A7lkoaofYn80On5MwqfRLGypY0ZK7+npjQSOtxFNjOiJqhXvZm4n9eJzXhlT/hMkNSrZYFKaCmJjMviZ9rpAZMbaEMsXtrYQNqaLM2GwKNgRv+eV0rwoe5Xydb1Sqt5lceThBE7hHDy4hCrcQw0awADhGV7hzXl0Xpx352PRmnOymWP4A+fzB5wjNc=</latexit>p(z)
<latexit sha1_base64="Vm9uwHja0Cr2XJrya0m2u7L26PU=">AB63icbVBNSwMxEJ2tX7V+VT16CRahXsquFKq3giAeK9gPaJeSTbNtaJdkqxQl4K/wIsHRbz6h7z5b8y2PWjrg4HezPMzAtizrRx3W8nt7a+sbmV3y7s7O7tHxQPj1o6ShShTRLxSHUCrClnkjYNM5x2YkWxCDhtB+PrzG8/UKVZJO/NJKa+wEPJQkawyaS4/HjeL5bcijsDWiXegpRgUa/+NUbRCQRVBrCsdZdz42Nn2JlGOF0WuglmsaYjPGQdi2VWFDtp7Nbp+jMKgMURsqWNGim/p5IsdB6IgLbKbAZ6WUvE/zuokJL/2UyTgxVJL5ojDhyEQoexwNmKLE8IklmChmb0VkhBUmxsZTsCF4y+vktZFxatWru6qpfrN0zyOPJzAKZTBgxrU4RYa0AQCI3iGV3hzhPivDsf89acs4jwGP7A+fwBqcObQ=</latexit>adversarial loss
min
E,G max D
Lrec − λLadv
<latexit sha1_base64="KmHQ+z8AjUNlzY8GN4MNOeSuC+8=">AFA3iclVTLbtNAFHWbAMW8WlghNldUkWyRVHZUBCyCKjUhLIoiLZRY3c0Hk+aUf2SPa6cOEbd8CtsWIAQW36CHX/DOE1bpwlSO5Kt4/s6954ZjxU4LOKa9ndpuVS+dfvOyl353v0HDx+trj3ei/w4JHSX+I4fdi0cUYd5dJcz7tBuEFLsWg7dt463c/+CQ0j5nuf+DCgpouPNZnBHNhQmulpxXDxXxAsAMdlBqcJjwNKckyxeADyjFqVaegrUIDYBJtWdBCaXAeb2ORUKiZr2a4fhHEKC2koxbwqKaIC9gwPbJAoZmzlAkUEYXJZsCm/DiWvyKXmsqE3bVlA2XeShtVduZSE1Q2swAPsN/hoYaGI5Qz8YLIiZNF6bpNoxUq4JuZIfpSy2rFqoeNM7/HhYFymcOTaFZJEU1xVbSarnZeZ0vnCIeW+mNtxEb+VqA1OhL+lz/plOG/ObFKDti4xogrZCoUbRhS7KIGZInIlqY3Ey2DepcRdkThCenWE6jP2A7nSeavJlXFBIRGn1ma+6+pY7DSFDhi5t5ZXGRe0a6MOWl3XNrTJgnmgT8G6NF07aPWPYfskdqnHiYOjqKdrATdTHJGHJrJRhzRAJNjfER7AnrYpZGZTv7hDCrCYkPfD8XjcZhYixkpdqNo6FoiMu8xurLjYt8vZj3X5sp84KYU4+cEfVjB7gP+YUANhMnkDtDATAJmegVyACHmHBxbchCBP3qyPNgr76hb268+bC5vXu9EyOFemZ9FxSJF16JW1J76UdaVcipdPS19L30o/yl/K38s/yr7PQ5aWphE+kmVX+/Q/FWZ23</latexit>˜ x
<latexit sha1_base64="rqdVCUKlabp23C0pyPb8eqDcCY=">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</latexit>Toy Experiment
X = {0, 1}50, Z = R2
<latexit sha1_base64="lFQAHQELGeChrT72OLKMXcVzr4k=">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</latexit>AAE Latent Space
Data stem from 5 clusters, with 100 sequences sampled from each
DAAE Latent Space
similar sequences distant representations similar sequences similar representations
Toy Experiment
X = {0, 1}50, Z = R2
<latexit sha1_base64="lFQAHQELGeChrT72OLKMXcVzr4k=">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</latexit>AAE Latent Space
Data stem from 5 clusters, with 100 sequences sampled from each
DAAE Latent Space
similar sequences distant representations
Theoretically analyze which type of mappings will be learned by AAE and DAAE under global optimality
x − z
<latexit sha1_base64="MK2WYTRgIxACKdtSWYpDHU6ydDs=">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</latexit>similar sequences similar representations
and can achieve the same optimal value under the AAE objective {x1, · · · , xn}
<latexit sha1_base64="ewivfKRpD18AKXNRxrRKJilaCiE=">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</latexit>{z1, · · · , zn}
<latexit sha1_base64="lLwXpCDYhCb8x706BhTFR1FmE/w=">AFVHichVNbTxNBF4oVxvoI+TCBNihbSLSYauYRETEisEYhcEqZuZnen7YTZCzPTsnS6if/L/2Hif/HBM9uWlgI6yWbPnO+c71zHSziTqlr9PTNbmCs+eDj/yH785Omz5wuL45l3BE+PfJjHotTj0jKWUSPFOcniaCktDj9MQ7/2jwky4VksXRN3WV0EZIWhFrMp8oULmLsz9LF+VeP93ASZut2KWknPZ7G1i1qSJwTV21hYlohSR1L1FSvuynrnY+qFUnq0ya2aXelO8W3K5lnIg4cLXKgAIoxyRjinudK/ZkhoD0wHrX1VjRVOnP9SwrT+C4bwzAodEtX3CUb08IKoYfCOFZAzieiTqycs7NVzOMWupFH4w324I/9IFbo/zGrm7n5pgPhA9qkFwih1XsTyWseN0CUIWwi2Y3cRyFJ0IWYOcQio7wmyrCZjTaeGbrtKifZVAZbERA7sBzYqBNQlTrVsxvWuX6tV0DVjQThHKWbR2PO0nMd+GrXWmjl4fcAxtQfN9B1RoVNdNWtjZR9hDlFdWwMVw1Xf7gAKzbWhj/vuIQwEc4MZGaOdTpGUoO4C8vVtWp+0G3BGQrL1vDsu4szP3AQ+52QRsrnRMozp5qohiZCMZ/TzMYdSRPin5MWPQMxIiGVDZ0/swyVQBMg6Ap8kUK5dtJDk1DKq9ADS9MXOY0Z5Z2Y0ag45nIqAdV839AsSjqKRv4gfrPDkYqRecoYDBdxa9AIL5gUALy20QX8GDt28S6FGQb8A+9eECqJi8VoPX3MGNbdwxUj/MmTRyBAkoIzopR+HIYmCwYJrLBVkKyjXgw3hJAHJi1NAIKdESdaDTGkzyzK9BasGM3OmJ3RbOK6tOetrtYO3yzvbw+nNW6+sJatsOdY7a8fas/atI8svLBX2CgeFw7lfc3+KhWJxYDo7M/R5ad04xWd/AUYZwM=</latexit>AAE Can Learn a Random Mapping Between X and Z
Theorem 1. With high-capacity encoder/decoder networks, any assignment between
X
<latexit sha1_base64="lEx7PBcrkDbyM6jFzTWYBH+h3E=">AB8XicbVDLSgMxFL1TX7W+qi7dBIvgqsxUQZdFNy4r2Ae2Q8mkmTY0kxmSO0IZ+hduXCji1r9x59+YtrPQ1gOBwzn3knNPkEh0HW/ncLa+sbmVnG7tLO7t39QPjxqmTjVjDdZLGPdCajhUijeRIGSdxLNaRI3g7GtzO/cS1EbF6wEnC/YgOlQgFo2ilx15EcSoJ1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn8RTcmaVAQljbZ9CMld/b2Q0MmYSBXZyltAsezPxP6+bYnjtZ0IlKXLFh+FqSQYk9n5ZCA0ZygnlCmhc1K2IhqytCWVLIleMsnr5JWrepdVGv3l5X6TV5HEU7gFM7Bgyuowx0oAkMFDzDK7w5xnlx3p2PxWjByXeO4Q+czx8jxpCQ</latexit>Z
<latexit sha1_base64="Yv1yOdp3yC9y8P/viD/6kH/okoU=">AB8XicbVDLSgMxFL3js9ZX1aWbYBFclZkq6LoxmUF+6DtUDLpnTY0kxmSjFBK/8KNC0Xc+jfu/Bsz7Sy09UDgcM695NwTJIJr47rfztr6xubWdmGnuLu3f3BYOjpu6jhVDBsFrFqB1Sj4BIbhuB7UQhjQKBrWB8l/mtJ1Sax/LRTBL0IzqUPOSMGit1ehE1I0YF6fRLZbfizkFWiZeTMuSo90tfvUHM0gilYJq3fXcxPhTqgxnAmfFXqoxoWxMh9i1VNItT+dJ56Rc6sMSBgr+6Qhc/X3xpRGWk+iwE5mCfWyl4n/ed3UhDf+lMskNSjZ4qMwFcTEJDufDLhCZsTEsoUt1kJG1FmbElFW0J3vLJq6RZrXiXlerDVbl2m9dRgFM4gwvw4BpqcA91aADCc/wCm+Odl6cd+djMbrm5Dsn8AfO5w8mzpCS</latexit>E G
X
<latexit sha1_base64="lEx7PBcrkDbyM6jFzTWYBH+h3E=">AB8XicbVDLSgMxFL1TX7W+qi7dBIvgqsxUQZdFNy4r2Ae2Q8mkmTY0kxmSO0IZ+hduXCji1r9x59+YtrPQ1gOBwzn3knNPkEh0HW/ncLa+sbmVnG7tLO7t39QPjxqmTjVjDdZLGPdCajhUijeRIGSdxLNaRI3g7GtzO/cS1EbF6wEnC/YgOlQgFo2ilx15EcSoJ1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn8RTcmaVAQljbZ9CMld/b2Q0MmYSBXZyltAsezPxP6+bYnjtZ0IlKXLFh+FqSQYk9n5ZCA0ZygnlCmhc1K2IhqytCWVLIleMsnr5JWrepdVGv3l5X6TV5HEU7gFM7Bgyuowx0oAkMFDzDK7w5xnlx3p2PxWjByXeO4Q+czx8jxpCQ</latexit>Z
<latexit sha1_base64="Yv1yOdp3yC9y8P/viD/6kH/okoU=">AB8XicbVDLSgMxFL3js9ZX1aWbYBFclZkq6LoxmUF+6DtUDLpnTY0kxmSjFBK/8KNC0Xc+jfu/Bsz7Sy09UDgcM695NwTJIJr47rfztr6xubWdmGnuLu3f3BYOjpu6jhVDBsFrFqB1Sj4BIbhuB7UQhjQKBrWB8l/mtJ1Sax/LRTBL0IzqUPOSMGit1ehE1I0YF6fRLZbfizkFWiZeTMuSo90tfvUHM0gilYJq3fXcxPhTqgxnAmfFXqoxoWxMh9i1VNItT+dJ56Rc6sMSBgr+6Qhc/X3xpRGWk+iwE5mCfWyl4n/ed3UhDf+lMskNSjZ4qMwFcTEJDufDLhCZsTEsoUt1kJG1FmbElFW0J3vLJq6RZrXiXlerDVbl2m9dRgFM4gwvw4BpqcA91aADCc/wCm+Odl6cd+djMbrm5Dsn8AfO5w8mzpCS</latexit>C(x)
<latexit sha1_base64="wCQdGNjwP4MYE5YPm9zHoyO3g6I=">AB63icbVBNTwIxEJ3FL8Qv1KOXRmKCF7KLJnIk4eIREwET2JBu6UJD2920XSPZ8Be8eNAYr/4hb/4bu7AHBV8yct7M5mZF8ScaeO6305hY3Nre6e4W9rbPzg8Kh+fdHWUKEI7JOKRegiwpxJ2jHMcPoQK4pFwGkvmLYyv/dIlWaRvDezmPoCjyULGcEmk1rVp8thueLW3AXQOvFyUoEc7WH5azCKSCKoNIRjrfueGxs/xcowum8NEg0jTGZ4jHtWyqxoNpPF7fO0YVRiMlC1p0EL9PZFiofVMBLZTYDPRq14m/uf1ExM2/JTJODFUkuWiMOHIRCh7HI2YosTwmSWYKGZvRWSCFSbGxlOyIXirL6+Tbr3mXdXqd9eVZiOPowhncA5V8OAGmnALbegAgQk8wyu8OcJ5cd6dj2VrwclnTuEPnM8fNTaNqA=</latexit>DAAE Learns to Map Similar X to Close Z
Theorem 2. In a simple scenario with only four examples, the optimal value under the DAAE objective is achieved when close pairs of are mapped to close pairs of
x
<latexit sha1_base64="SM9PXS0cW2Kwk5dHSBi9y/+sds=">ACIXicbVDLSgMxFM34dnxVXboJFsGFlhkRrDtBfCxcKFgrtKVkMrcazGSG5E5pHQb8Ejf+ihsXirgTf8b0sdDqgcDJOfeSnBMkUhj0vE9nbHxicmp6Ztadm19YXCosr1yZONUcKjyWsb4OmAEpFRQoITrRAOLAgnV4O6w51fboI2I1SV2E2hE7EaJluAMrdQslDfqEcNbziQ9a2Z1hA5mLGznuWsNobKjrZPcTnTsFYUMgVrW2b53O81C0St5fdC/xB+SIhnivFn4qIcxTyNQyCUzpuZ7CTYyplFwCblbTw0kjN+xG6hZqlgEpH1E+Z0wyohbcXaHoW0r/7cyFhkTDcK7GQvjhn1euJ/Xi3FVrmRCZWkCIoPHmqlkmJMe3XRUGjgKLuWMK6F/Svlt0wzjrZU15bgj0b+S652Sv5uaf9it3hw/DCoY4askXWySXyRw7IKTknFcLJI3kmr+TNeXJenHfnYzA65gwrXCW/4Hx9A7dTowM=</latexit>z
<latexit sha1_base64="CeEXbhIUh/jsfgvs16lVjes25P0=">ACIXicbVDLSgMxFM34dnxVXboJloILTMiqDtBfCxcKFgtKVkMrc1mMkMyR1pHQb8Ejf+ihsXirgTf8b0sdDqgcDJOfeSnBMkUhj0vE9nbHxicmp6Ztadm19YXCosr1yZONUcKjyWsa4GzIAUCioUEI10cCiQMJ1cHvY86/vQBsRq0vsJtCIWFuJluAMrdQs7JXqEcMbziQ9a2Z1hA5mLzLc9caQmVHmye5nejYKwoZArWs3Xv3jcLRa/s9UH/En9IimSI82bhox7GPI1AIZfMmJrvJdjImEbBJeRuPTWQMH7L2lCzVLEITCPrJ8xpySohbcXaHoW0r/7cyFhkTDcK7GQvjhn1euJ/Xi3F1l4jEypJERQfPNRKJcWY9uqiodDAUXYtYVwL+1fKb5hmHG2pri3BH438l1xtl/2d8v7FTvHg+GFQxwxZI+tkg/hklxyQU3JOKoSTR/JMXsmb8+S8O/Ox2B0zBlWuEp+wfn6BrpbowU=</latexit>E G
x1
<latexit sha1_base64="Zgso4r/5+qHuvA0cy8G5JHMuw8k=">AB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEUG9FLx4r2g9oQ9lsN+3SzSbsTsQS+hO8eFDEq7/Im/GbZuDtj4YeLw3w8y8IJHCoOt+O4WV1bX1jeJmaWt7Z3evH/QNHGqGW+wWMa6HVDpVC8gQIlbyea0yiQvBWMbqZ+65FrI2L1gOE+xEdKBEKRtFK9089r1euFV3BrJMvJxUIEe9V/7q9mOWRlwhk9SYjucm6GdUo2CST0rd1PCEshEd8I6likbc+Nns1Ak5sUqfhLG2pZDM1N8TGY2MGUeB7YwoDs2iNxX/8zophpd+JlSIldsvihMJcGYTP8mfaE5Qzm2hDIt7K2EDamDG06JRuCt/jyMmeVb3z6tXdeaV2ncdRhCM4hlPw4AJqcAt1aACDATzDK7w50nlx3p2PeWvByWcO4Q+czx8PkI2s</latexit>x2
<latexit sha1_base64="O76kjDC2rk5pOTxbQq6SNK3hW1I=">AB6nicbVDLSgNBEOyNrxhfUY9eBoPgKeyGgHoLevEY0TwgWcLspDcZMju7zMyKIeQTvHhQxKtf5M2/cZLsQRMLGoqbrq7gkRwbVz328mtrW9sbuW3Czu7e/sHxcOjpo5TxbDBYhGrdkA1Ci6xYbgR2E4U0igQ2ApGNzO/9YhK81g+mHGCfkQHkoecUWOl+6depVcsuWV3DrJKvIyUIEO9V/zq9mOWRigNE1Trjucmxp9QZTgTOC10U40JZSM6wI6lkao/cn81Ck5s0qfhLGyJQ2Zq78nJjTSehwFtjOiZqiXvZn4n9dJTXjpT7hMUoOSLRaFqSAmJrO/SZ8rZEaMLaFMcXsrYUOqKDM2nYINwVt+eZU0K2WvWr6q5Zq1kceTiBUzgHDy6gBrdQhwYwGMAzvMKbI5wX5935WLTmnGzmGP7A+fwBERSNrQ=</latexit>z2
<latexit sha1_base64="XwgGRp/htBJ4wVSFhG8IRui2RZs=">AB6nicbVDLSgNBEOyNrxhfUY9eBoPgKeyGgHoLevEY0TwgWcLspDcZMju7zMwKMeQTvHhQxKtf5M2/cZLsQRMLGoqbrq7gkRwbVz328mtrW9sbuW3Czu7e/sHxcOjpo5TxbDBYhGrdkA1Ci6xYbgR2E4U0igQ2ApGNzO/9YhK81g+mHGCfkQHkoecUWOl+6depVcsuWV3DrJKvIyUIEO9V/zq9mOWRigNE1Trjucmxp9QZTgTOC10U40JZSM6wI6lkao/cn81Ck5s0qfhLGyJQ2Zq78nJjTSehwFtjOiZqiXvZn4n9dJTXjpT7hMUoOSLRaFqSAmJrO/SZ8rZEaMLaFMcXsrYUOqKDM2nYINwVt+eZU0K2WvWr6q5Zq1kceTiBUzgHDy6gBrdQhwYwGMAzvMKbI5wX5935WLTmnGzmGP7A+fwBFCNrw=</latexit>z1
<latexit sha1_base64="08aWfnB/Q1YlIEoIgy5+lDohQcI=">AB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEUG9FLx4r2g9oQ9lsJ+3SzSbsboQa+hO8eFDEq7/Im/GbZuDtj4YeLw3w8y8IBFcG9f9dgorq2vrG8XN0tb2zu5ef+gqeNUMWywWMSqHVCNgktsG4EthOFNAoEtoLRzdRvPaLSPJYPZpygH9GB5CFn1Fjp/qn9coVt+rOQJaJl5MK5Kj3yl/dfszSCKVhgmrd8dzE+BlVhjOBk1I31ZhQNqID7FgqaYTaz2anTsiJVfokjJUtachM/T2R0UjrcRTYzoiaoV70puJ/Xic14aWfcZmkBiWbLwpTQUxMpn+TPlfIjBhbQpni9lbChlRZmw6JRuCt/jyMmeVb3z6tXdeaV2ncdRhCM4hlPw4AJqcAt1aACDATzDK7w5wnlx3p2PeWvByWcO4Q+czx8SnI2u</latexit>Theorem 3 (sketch). Suppose are divided into clusters of equal size . Let the perturbation process be uniform within clusters. The DAAE objective is “best achieved” when examples in the same cluster are mapped to the latent space in a manner that is well-separated from encodings of other clusters
DAAE Learns to Map Similar X to Close Z
x1, · · · , xn
<latexit sha1_base64="HeYRpUzeIkykgEyiX6kn16CB8o=">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</latexit>n/K
<latexit sha1_base64="DaN6YwG4RO87XFk0zhx5wl5n6Gw=">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</latexit>K
<latexit sha1_base64="Uh8P3CjvnC/J/rbR1rDkHmC6qIs=">AHmXiclVXZbtGFKXTqkrVJXH7mJdBDQG0IzmiHKBFbRkpEsNBo6Lp4sSARyKG5EgaZbiYM7JpDQfoD/S1/b+Te+QtLU47kKA0p17nLuQtJLOBOy0/lr494H9Y+qt/uPHJp59/uDh5hdvRDxLfXrixzxOTz0iKGcRPZFMcnqapJSEHqdvXfPDf72gqaCxdGv8iqhg5CMIzZiPpGgcjdrVvPcnufZPk4mbLvRTOwsn+9jOaGSwDFzZQ+TdBySzL1EiX2Z65yvpVtR7eWzFa8enC6kXGSxoGrpAZnCLZw/w/OrcYyN0DmYP3CVjSTKpXfa3tJRznxgAscEjkxCc9e0yUMvg+xmQMYjnoSNXLTnqszbm8Rit8Bg8xh78Yz+IJfr3nJ2DwvzAgfQBHdFzhFD7TiJFzYsGpDakTQRb4X6dkgQXkLOAWGSUN4E0NlNRxlOj24p9bWGymAXAvIevAgMYZMQdS9a5m/votHsH3ZAN4pTwjnKMIsWnqetuevA3b3RQit/HgYwpnzRQNe5Lmypq273WpkjzCnqY2PYNrHyagHMsjWac0iuTJqi8QKyRVgbiwJf6DM3KpoF9R8DnRuOx24fejFKia8crSKNxSx0Fes5egicCz7uMSwiy4/M78q6gC+cCprDnaLDw51y+dcbf3eGOyY+VDbsmUkmGQ8ogkoDk7+FMne6jQ4RpjBFHkNRCzV0o+w3HtwP1Olhy6nWKveOSgNp50i/XFjo9kjbqloVXJywYPM12H+G5mQfCKRtP5DZ6XFp1q3OrxIHaUrh4XAZxnthYnKdSdTVqI2e78vnfEynladm7xH0O1U1zM5bo5qaUR0VD1pR50FBDzLCIu0BCQT9wblpSgGXACuBKQLkEFUea1v0yn241dntFBe6LTiVsGV12t3c+M3HMT+LKSR9DkR4szpJHKgSCqZz6lu4JmgCfHfkTE9AzEiIRUDVbyrNWqCJkDwgMEdSVRolz0UCYW4Cj2wNC0U65hRvhczGhnHXKwRkKNvBopFyUzSyC/zj2YcyRiZ7wEKGLwoJL8CgfgpgxKQPyEwLglfjUYDv6BQY0p/gOg/JjQlMk53VPVJ0FDzGLeM9E+GLo2BAlCRvTSj8OQREH5rlRYSGCbUq7KteEkAcmLM0CAUyIFmwNTOtJaqx68tWBmzvqEbgtvurvO3m73p6dbzw6r6d23HlfWblWF9bz6yX1mvrxPJr49rvtT9qf9Yf1b+rv6x/X5re26h8vrRWrvovfwNnkYEX</latexit>C
<latexit sha1_base64="QItKE4VN736yt1/u9Ooxop2g+WY=">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</latexit>Experiments
Compare DAAE with:
- AAE [Makhzani et al., 2015]
- Latent-noising AAE (LAAE) [Rubenstein et al., 2018]
- β-VAE [Higgins et al., 2017]
- ARAE [Zhao et al., 2018]
Evaluate:
- Neighborhood Preservation
- Generation-Reconstruction Trade-Off
- Style Transfer
- Sentence Interpolation
Datasets:
- Yelp reviews
- Yahoo answers
Neighborhood Preservation
AAE Source DAAE
my cashier did not smile , barely said hello . the service is fantastic , the food is great . the employees are extremely nice and helpful . the manager , linda , was very very attentive and personable . stylist brenda was very friendly , attentive and professional . the manager was also super nice and personable . my waitress katie was fantastic , attentive and personable .
Nearest neighbors (NN) in the latent Euclidean space For each sentence’s 10-NN in terms of normalized edit distance, count how many of them lie among the k-NN in the latent space
Generation-Reconstruction Trade-Off
😋
Generation-Reconstruction Trade-Off
β = 0.01
<latexit sha1_base64="J0wLO4FkicA6DMdGqO1qodpGUC4=">AB8XicbVBNSwMxEM3Wr1q/qh69BIvgqeyKoIJCwYvHCvYD26Vk09k2NJtdklmhLP0Xjwo4tV/481/Y9ruQVsfhDzem2FmXpBIYdB1v53Cyura+kZxs7S1vbO7V94/aJo41RwaPJaxbgfMgBQKGihQjvRwKJAQisY3U791hNoI2L1gOME/IgNlAgFZ2ilx24AyG7cquv1yhX7zUCXiZeTCslR75W/uv2YpxEo5JIZ0/HcBP2MaRcwqTUTQ0kjI/YADqWKhaB8bPZxhN6YpU+DWNtn0I6U393ZCwyZhwFtjJiODSL3lT8z+ukGF76mVBJiqD4fFCYSoxnZ5P+0IDRzm2hHEt7K6UD5lmHG1IJRuCt3jyMmeVb3z6tX9eaV2ncdRJEfkmJwSj1yQGrkjdIgnCjyTF7Jm2OcF+fd+ZiXFpy85D8gfP5Awidj9g=</latexit>β = 0.15
<latexit sha1_base64="qD6kDI0M0npkC1gDZJ4MrMJQ0ro=">AB8XicbVBNS8NAEJ3Ur1q/qh69BIvgKSRSUGh4MVjBfuBbSib7aRdutmE3Y1Qv+Fw+KePXfePfuG1z0NYHA4/3ZpiZFyScKe2631ZhZXVtfaO4Wdra3tndK+8fNFWcSoNGvNYtgOikDOBDc0x3YikUQBx1Ywup36rSeUisXiQY8T9CMyECxklGgjPXYD1OTGdbzXrniOu4M9jLxclKBHPVe+avbj2kaodCUE6U6nptoPyNSM8pxUuqmChNCR2SAHUMFiVD52eziX1ilL4dxtKU0PZM/T2RkUipcRSYzojoVr0puJ/XifV4aWfMZGkGgWdLwpTbuvYnr5v95lEqvnYEIlM7fadEgkodqEVDIheIsvL5PmeNVnav7aqV2ncdRhCM4hlPw4AJqcAd1aAFAc/wCm+Wsl6sd+tj3lqw8plD+APr8wcQMo/d</latexit>β = 1
<latexit sha1_base64="4efnS6fWYRQw0IE49h20Za7lclE=">AB7nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mkoIJCwYvHCvYD2lA20m7dLMJuxuhP4ILx4U8erv8ea/cdvmoK0PBh7vzTAzL0gE18Z1v53C2vrG5lZxu7Szu7d/UD48auk4VQybLBax6gRUo+ASm4YbgZ1EIY0Cge1gfDfz20+oNI/lo5k6Ed0KHnIGTVWavcCNPTW65crbtWdg6wSLycVyNHol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LVU0gi1n83PnZIzqwxIGCtb0pC5+nsio5HWkyiwnRE1I73szcT/vG5qwis/4zJDUq2WBSmgpiYzH4nA6QGTGxhDLF7a2EjaizNiESjYEb/nlVdK6qHq16vVDrVK/yeMowgmcwjl4cAl1uIcGNIHBGJ7hFd6cxHlx3p2PRWvByWeO4Q+czx+6to8s</latexit>😋
Generation-Reconstruction Trade-Off
β = 0.01
<latexit sha1_base64="J0wLO4FkicA6DMdGqO1qodpGUC4=">AB8XicbVBNSwMxEM3Wr1q/qh69BIvgqeyKoIJCwYvHCvYD26Vk09k2NJtdklmhLP0Xjwo4tV/481/Y9ruQVsfhDzem2FmXpBIYdB1v53Cyura+kZxs7S1vbO7V94/aJo41RwaPJaxbgfMgBQKGihQjvRwKJAQisY3U791hNoI2L1gOME/IgNlAgFZ2ilx24AyG7cquv1yhX7zUCXiZeTCslR75W/uv2YpxEo5JIZ0/HcBP2MaRcwqTUTQ0kjI/YADqWKhaB8bPZxhN6YpU+DWNtn0I6U393ZCwyZhwFtjJiODSL3lT8z+ukGF76mVBJiqD4fFCYSoxnZ5P+0IDRzm2hHEt7K6UD5lmHG1IJRuCt3jyMmeVb3z6tX9eaV2ncdRJEfkmJwSj1yQGrkjdIgnCjyTF7Jm2OcF+fd+ZiXFpy85D8gfP5Awidj9g=</latexit>β = 0.15
<latexit sha1_base64="qD6kDI0M0npkC1gDZJ4MrMJQ0ro=">AB8XicbVBNS8NAEJ3Ur1q/qh69BIvgKSRSUGh4MVjBfuBbSib7aRdutmE3Y1Qv+Fw+KePXfePfuG1z0NYHA4/3ZpiZFyScKe2631ZhZXVtfaO4Wdra3tndK+8fNFWcSoNGvNYtgOikDOBDc0x3YikUQBx1Ywup36rSeUisXiQY8T9CMyECxklGgjPXYD1OTGdbzXrniOu4M9jLxclKBHPVe+avbj2kaodCUE6U6nptoPyNSM8pxUuqmChNCR2SAHUMFiVD52eziX1ilL4dxtKU0PZM/T2RkUipcRSYzojoVr0puJ/XifV4aWfMZGkGgWdLwpTbuvYnr5v95lEqvnYEIlM7fadEgkodqEVDIheIsvL5PmeNVnav7aqV2ncdRhCM4hlPw4AJqcAd1aAFAc/wCm+Wsl6sd+tj3lqw8plD+APr8wcQMo/d</latexit>β = 1
<latexit sha1_base64="4efnS6fWYRQw0IE49h20Za7lclE=">AB7nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mkoIJCwYvHCvYD2lA20m7dLMJuxuhP4ILx4U8erv8ea/cdvmoK0PBh7vzTAzL0gE18Z1v53C2vrG5lZxu7Szu7d/UD48auk4VQybLBax6gRUo+ASm4YbgZ1EIY0Cge1gfDfz20+oNI/lo5k6Ed0KHnIGTVWavcCNPTW65crbtWdg6wSLycVyNHol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LVU0gi1n83PnZIzqwxIGCtb0pC5+nsio5HWkyiwnRE1I73szcT/vG5qwis/4zJDUq2WBSmgpiYzH4nA6QGTGxhDLF7a2EjaizNiESjYEb/nlVdK6qHq16vVDrVK/yeMowgmcwjl4cAl1uIcGNIHBGJ7hFd6cxHlx3p2PRWvByWeO4Q+czx+6to8s</latexit>😋
Generation-Reconstruction Trade-Off
β = 0.01
<latexit sha1_base64="J0wLO4FkicA6DMdGqO1qodpGUC4=">AB8XicbVBNSwMxEM3Wr1q/qh69BIvgqeyKoIJCwYvHCvYD26Vk09k2NJtdklmhLP0Xjwo4tV/481/Y9ruQVsfhDzem2FmXpBIYdB1v53Cyura+kZxs7S1vbO7V94/aJo41RwaPJaxbgfMgBQKGihQjvRwKJAQisY3U791hNoI2L1gOME/IgNlAgFZ2ilx24AyG7cquv1yhX7zUCXiZeTCslR75W/uv2YpxEo5JIZ0/HcBP2MaRcwqTUTQ0kjI/YADqWKhaB8bPZxhN6YpU+DWNtn0I6U393ZCwyZhwFtjJiODSL3lT8z+ukGF76mVBJiqD4fFCYSoxnZ5P+0IDRzm2hHEt7K6UD5lmHG1IJRuCt3jyMmeVb3z6tX9eaV2ncdRJEfkmJwSj1yQGrkjdIgnCjyTF7Jm2OcF+fd+ZiXFpy85D8gfP5Awidj9g=</latexit>β = 0.15
<latexit sha1_base64="qD6kDI0M0npkC1gDZJ4MrMJQ0ro=">AB8XicbVBNS8NAEJ3Ur1q/qh69BIvgKSRSUGh4MVjBfuBbSib7aRdutmE3Y1Qv+Fw+KePXfePfuG1z0NYHA4/3ZpiZFyScKe2631ZhZXVtfaO4Wdra3tndK+8fNFWcSoNGvNYtgOikDOBDc0x3YikUQBx1Ywup36rSeUisXiQY8T9CMyECxklGgjPXYD1OTGdbzXrniOu4M9jLxclKBHPVe+avbj2kaodCUE6U6nptoPyNSM8pxUuqmChNCR2SAHUMFiVD52eziX1ilL4dxtKU0PZM/T2RkUipcRSYzojoVr0puJ/XifV4aWfMZGkGgWdLwpTbuvYnr5v95lEqvnYEIlM7fadEgkodqEVDIheIsvL5PmeNVnav7aqV2ncdRhCM4hlPw4AJqcAd1aAFAc/wCm+Wsl6sd+tj3lqw8plD+APr8wcQMo/d</latexit>β = 1
<latexit sha1_base64="4efnS6fWYRQw0IE49h20Za7lclE=">AB7nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mkoIJCwYvHCvYD2lA20m7dLMJuxuhP4ILx4U8erv8ea/cdvmoK0PBh7vzTAzL0gE18Z1v53C2vrG5lZxu7Szu7d/UD48auk4VQybLBax6gRUo+ASm4YbgZ1EIY0Cge1gfDfz20+oNI/lo5k6Ed0KHnIGTVWavcCNPTW65crbtWdg6wSLycVyNHol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LVU0gi1n83PnZIzqwxIGCtb0pC5+nsio5HWkyiwnRE1I73szcT/vG5qwis/4zJDUq2WBSmgpiYzH4nA6QGTGxhDLF7a2EjaizNiESjYEb/nlVdK6qHq16vVDrVK/yeMowgmcwjl4cAl1uIcGNIHBGJ7hFd6cxHlx3p2PRWvByWeO4Q+czx+6to8s</latexit>λ1 = 0.01
<latexit sha1_base64="rN7dOqwI9x8fVbhIkx2NPGig9IA=">AB9XicbVDLSgMxFL1TX7W+qi7dBIvgqsxIQWFghuXFewD2rFkMpk2NJMSUYpQ/DjQtF3Pov7vwb03YW2nog5HDOueTmBAln2rjut1NYWV1b3yhulra2d3b3yvsHLS1TRWiTSC5VJ8CaciZo0zDaSdRFMcBp+1gdDP1249UaSbFvRkn1I/xQLCIEWys9NDjNhrivnftVl2vX67Yawa0TLycVCBHo1/+6oWSpDEVhnCsdzE+NnWBlGOJ2UeqmCSYjPKBdSwWOqfaz2dYTdGKVEVS2SMmqm/JzIcaz2OA5uMsRnqRW8q/ud1UxNd+BkTSWqoIPOHopQjI9G0AhQyRYnhY0swUczuisgQK0yMLapkS/AWv7xMWmdVr1a9vKtV6ld5HU4gmM4BQ/OoQ630IAmEFDwDK/w5jw5L8678zGPFpx85hD+wPn8AbJYkVU=</latexit>λ1 = 0.05
<latexit sha1_base64="mbO6q4Ur4ABvAQZbDI4Q5+qPlEY=">AB9XicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoJCwY3LCvYB7VgymUwbmkmGJKOUof/hxoUibv0Xd/6NaTsLbT0QcjnXHJzgoQzbVz32yksLa+srhXSxubW9s75d29papIrRBJeqHWBNORO0YZjhtJ0oiuOA01YwvJn4rUeqNJPi3owS6se4L1jECDZWeuhyGw1xz7t2q+5Zr1yx1xRokXg5qUCOeq/81Q0lSWMqDOFY647nJsbPsDKMcDoudVNE0yGuE87lgocU+1n063H6MgqIYqkskcYNFV/T2Q41noUBzYZYzPQ895E/M/rpCa68DMmktRQWYPRSlHRqJBShkihLDR5ZgopjdFZEBVpgYW1TJluDNf3mRNE+q3mn18u60UrvK6yjCARzCMXhwDjW4hTo0gICZ3iFN+fJeXHenY9ZtODkM/vwB87nD7hokVk=</latexit>λ1 = 0.2
<latexit sha1_base64="lBoB72t+UqgBVB0nMN4R29csNM=">AB9HicbVDLSsNAFL2pr1pfVZduBovgKiSlUAWFghuXFewD2lAmk0k7dDKJM5NCf0ONy4UcevHuPNvnLZaOuBgcM53LvHD/hTGnH+bYKG5tb2zvF3dLe/sHhUfn4pK3iVBLaIjGPZdfHinImaEszWk3kRHPqcdf3w39zsTKhWLxaOeJtSL8FCwkBGsjeT1uYkGeODeOnZ1UK4trMAWiduTiqQozkof/WDmKQRFZpwrFTPdRLtZVhqRjidlfqpogkmYzykPUMFjqjysXRM3RhlACFsTRPaLRQf09kOFJqGvkmGWE9UqveXPzP6U6vPIyJpJU0GWi8KUIx2jeQMoYJISzaeGYCKZuRWREZaYaNTyZTgrn5nbSrtluzrx9qlcZNXkcRzuAcLsGFOjTgHprQAgJP8Ayv8GZNrBfr3fpYRgtWPnMKf2B9/gBCJEc</latexit>😋
Generation-Reconstruction Trade-Off
p = 1
<latexit sha1_base64="cNTK5hw9pKozLoy4pWS4dC0WYc=">AB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEUEGh4MVjRfsBbSib7aZdutmE3YlQn+CFw+KePUXefPfuG1z0NYHA4/3ZpiZFyRSGHTdb6ewsrq2vlHcLG1t7+zulfcPmiZONeMNFstYtwNquBSKN1Cg5O1EcxoFkreC0e3Ubz1xbUSsHnGcD+iAyVCwSha6SG58Xrlilt1ZyDLxMtJBXLUe+Wvbj9macQVMkmN6Xhugn5GNQom+aTUTQ1PKBvRAe9YqmjEjZ/NTp2QE6v0SRhrWwrJTP09kdHImHEU2M6I4tAselPxP6+TYnjpZ0IlKXLF5ovCVBKMyfRv0heaM5RjSyjTwt5K2JBqytCmU7IheIsvL5PmWdU7r17dn1dq13kcRTiCYzgFDy6gBndQhwYwGMAzvMKbI50X5935mLcWnHzmEP7A+fwBzdmNfA=</latexit>p = 0.1
<latexit sha1_base64="7dCADK0UNAegjo/GHLGAVXtMISk=">AB7HicbVBNS8NAEJ3Ur1q/qh69LBbBU0ikoIJCwYvHCqYtKFstpt26Waz7G6EvobvHhQxKs/yJv/xm2bg7Y+GHi8N8PMvEhypo3nfTultfWNza3ydmVnd2/oHp41NJpgNSMpT1YmwpwJGhmO1IRXEScdqOxnczv/1ElWapeDQTScMEDwWLGcHGSoG89Vy/X615rjcHWiV+QWpQoNmvfvUGKckSKgzhWOu70kT5lgZRjidVnqZphKTMR7SrqUCJ1SH+fzYKTqzygDFqbIlDJqrvydynGg9SLbmWAz0sveTPzP62YmvgpzJmRmqCLRXHGkUnR7HM0YIoSwyeWYKYvRWREVaYGJtPxYbgL7+8SloXrl93rx/qtcZNEUcZTuAUzsGHS2jAPTQhAIMnuEV3hzhvDjvzseiteQUM8fwB87nD6gaje4=</latexit>p = 0.3
<latexit sha1_base64="DKqIo4jLkAiRncNxOJNxJavKCs=">AB7HicbVBNS8NAEJ3Ur1q/qh69LBbBU0i0oIJCwYvHCqYtKFstpt26Waz7G6EvobvHhQxKs/yJv/xm2bg1YfDzem2FmXiQ508bzvpzSyura+kZ5s7K1vbO7V90/aOk0U4QGJOWp6kRYU84EDQwznHakojiJOG1H49uZ36kSrNUPJiJpGCh4LFjGBjpUDeO5v1rzXG8O9Jf4BalBgWa/+tkbpCRLqDCEY627vidNmGNlGOF0WulmkpMxnhIu5YKnFAd5vNjp+jEKgMUp8qWMGiu/pzIcaL1JIlsZ4LNSC97M/E/r5uZ+DLMmZCZoYIsFsUZRyZFs8/RgClKDJ9Ygoli9lZERlhYmw+FRuCv/zyX9I6c/26e3VfrzWuizjKcATHcAo+XEAD7qAJARBg8AQv8OoI59l5c94XrSWnmDmEX3A+vgGrIo3w</latexit>β = 0.01
<latexit sha1_base64="J0wLO4FkicA6DMdGqO1qodpGUC4=">AB8XicbVBNSwMxEM3Wr1q/qh69BIvgqeyKoIJCwYvHCvYD26Vk09k2NJtdklmhLP0Xjwo4tV/481/Y9ruQVsfhDzem2FmXpBIYdB1v53Cyura+kZxs7S1vbO7V94/aJo41RwaPJaxbgfMgBQKGihQjvRwKJAQisY3U791hNoI2L1gOME/IgNlAgFZ2ilx24AyG7cquv1yhX7zUCXiZeTCslR75W/uv2YpxEo5JIZ0/HcBP2MaRcwqTUTQ0kjI/YADqWKhaB8bPZxhN6YpU+DWNtn0I6U393ZCwyZhwFtjJiODSL3lT8z+ukGF76mVBJiqD4fFCYSoxnZ5P+0IDRzm2hHEt7K6UD5lmHG1IJRuCt3jyMmeVb3z6tX9eaV2ncdRJEfkmJwSj1yQGrkjdIgnCjyTF7Jm2OcF+fd+ZiXFpy85D8gfP5Awidj9g=</latexit>β = 0.15
<latexit sha1_base64="qD6kDI0M0npkC1gDZJ4MrMJQ0ro=">AB8XicbVBNS8NAEJ3Ur1q/qh69BIvgKSRSUGh4MVjBfuBbSib7aRdutmE3Y1Qv+Fw+KePXfePfuG1z0NYHA4/3ZpiZFyScKe2631ZhZXVtfaO4Wdra3tndK+8fNFWcSoNGvNYtgOikDOBDc0x3YikUQBx1Ywup36rSeUisXiQY8T9CMyECxklGgjPXYD1OTGdbzXrniOu4M9jLxclKBHPVe+avbj2kaodCUE6U6nptoPyNSM8pxUuqmChNCR2SAHUMFiVD52eziX1ilL4dxtKU0PZM/T2RkUipcRSYzojoVr0puJ/XifV4aWfMZGkGgWdLwpTbuvYnr5v95lEqvnYEIlM7fadEgkodqEVDIheIsvL5PmeNVnav7aqV2ncdRhCM4hlPw4AJqcAd1aAFAc/wCm+Wsl6sd+tj3lqw8plD+APr8wcQMo/d</latexit>β = 1
<latexit sha1_base64="4efnS6fWYRQw0IE49h20Za7lclE=">AB7nicbVBNS8NAEJ3Ur1q/qh69LBbBU0mkoIJCwYvHCvYD2lA20m7dLMJuxuhP4ILx4U8erv8ea/cdvmoK0PBh7vzTAzL0gE18Z1v53C2vrG5lZxu7Szu7d/UD48auk4VQybLBax6gRUo+ASm4YbgZ1EIY0Cge1gfDfz20+oNI/lo5k6Ed0KHnIGTVWavcCNPTW65crbtWdg6wSLycVyNHol796g5ilEUrDBNW67mJ8TOqDGcCp6VeqjGhbEyH2LVU0gi1n83PnZIzqwxIGCtb0pC5+nsio5HWkyiwnRE1I73szcT/vG5qwis/4zJDUq2WBSmgpiYzH4nA6QGTGxhDLF7a2EjaizNiESjYEb/nlVdK6qHq16vVDrVK/yeMowgmcwjl4cAl1uIcGNIHBGJ7hFd6cxHlx3p2PRWvByWeO4Q+czx+6to8s</latexit>λ1 = 0.01
<latexit sha1_base64="rN7dOqwI9x8fVbhIkx2NPGig9IA=">AB9XicbVDLSgMxFL1TX7W+qi7dBIvgqsxIQWFghuXFewD2rFkMpk2NJMSUYpQ/DjQtF3Pov7vwb03YW2nog5HDOueTmBAln2rjut1NYWV1b3yhulra2d3b3yvsHLS1TRWiTSC5VJ8CaciZo0zDaSdRFMcBp+1gdDP1249UaSbFvRkn1I/xQLCIEWys9NDjNhrivnftVl2vX67Yawa0TLycVCBHo1/+6oWSpDEVhnCsdzE+NnWBlGOJ2UeqmCSYjPKBdSwWOqfaz2dYTdGKVEVS2SMmqm/JzIcaz2OA5uMsRnqRW8q/ud1UxNd+BkTSWqoIPOHopQjI9G0AhQyRYnhY0swUczuisgQK0yMLapkS/AWv7xMWmdVr1a9vKtV6ld5HU4gmM4BQ/OoQ630IAmEFDwDK/w5jw5L8678zGPFpx85hD+wPn8AbJYkVU=</latexit>λ1 = 0.05
<latexit sha1_base64="mbO6q4Ur4ABvAQZbDI4Q5+qPlEY=">AB9XicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoJCwY3LCvYB7VgymUwbmkmGJKOUof/hxoUibv0Xd/6NaTsLbT0QcjnXHJzgoQzbVz32yksLa+srhXSxubW9s75d29papIrRBJeqHWBNORO0YZjhtJ0oiuOA01YwvJn4rUeqNJPi3owS6se4L1jECDZWeuhyGw1xz7t2q+5Zr1yx1xRokXg5qUCOeq/81Q0lSWMqDOFY647nJsbPsDKMcDoudVNE0yGuE87lgocU+1n063H6MgqIYqkskcYNFV/T2Q41noUBzYZYzPQ895E/M/rpCa68DMmktRQWYPRSlHRqJBShkihLDR5ZgopjdFZEBVpgYW1TJluDNf3mRNE+q3mn18u60UrvK6yjCARzCMXhwDjW4hTo0gICZ3iFN+fJeXHenY9ZtODkM/vwB87nD7hokVk=</latexit>λ1 = 0.2
<latexit sha1_base64="lBoB72t+UqgBVB0nMN4R29csNM=">AB9HicbVDLSsNAFL2pr1pfVZduBovgKiSlUAWFghuXFewD2lAmk0k7dDKJM5NCf0ONy4UcevHuPNvnLZaOuBgcM53LvHD/hTGnH+bYKG5tb2zvF3dLe/sHhUfn4pK3iVBLaIjGPZdfHinImaEszWk3kRHPqcdf3w39zsTKhWLxaOeJtSL8FCwkBGsjeT1uYkGeODeOnZ1UK4trMAWiduTiqQozkof/WDmKQRFZpwrFTPdRLtZVhqRjidlfqpogkmYzykPUMFjqjysXRM3RhlACFsTRPaLRQf09kOFJqGvkmGWE9UqveXPzP6U6vPIyJpJU0GWi8KUIx2jeQMoYJISzaeGYCKZuRWREZaYaNTyZTgrn5nbSrtluzrx9qlcZNXkcRzuAcLsGFOjTgHprQAgJP8Ayv8GZNrBfr3fpYRgtWPnMKf2B9/gBCJEc</latexit>😋
style 1 style 2 the pizza was pretty bland we got stead and drink i had to knock it down a star everything is pretty fresh food seems decent overall you get what you pay for enc avg enc avg
Unsupervised Text Style Transfer
diff style vector v
<latexit sha1_base64="0pdxup8SoPdQOfrEefI73hnpA=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FRPCYgHlAsoTZSW8yZnZ2mZkNhJAv8OJBEa9+kjf/xkmyB0saCiqunuChLBtXHdbye3sbm1vZPfLeztHxweFY9PmjpOFcMGi0Ws2gHVKLjEhuFGYDtRSKNAYCsY3c391hiV5rF8NJME/YgOJA85o8ZK9XGvWHL7gJknXgZKUGWq/41e3HLI1QGiao1h3PTYw/pcpwJnBW6KYaE8pGdIAdSyWNUPvTxaEzcmGVPgljZUsaslB/T0xpPUkCmxnRM1Qr3pz8T+vk5rwxp9ymaQGJVsuClNBTEzmX5M+V8iMmFhCmeL2VsKGVFmbDYFG4K3+vI6aV6VvUr5tl4pVe+zOPJwBudwCR5cQxUeoAYNYIDwDK/w5jw5L86787FszTnZzCn8gfP5A+f4jQk=</latexit>No style labels required during training!
dec( enc( ) ± ) = ?
input v
<latexit sha1_base64="0pdxup8SoPdQOfrEefI73hnpA=">AB6HicbVDLSgNBEOyNrxhfUY9eBoPgKexKQL0FRPCYgHlAsoTZSW8yZnZ2mZkNhJAv8OJBEa9+kjf/xkmyB0saCiqunuChLBtXHdbye3sbm1vZPfLeztHxweFY9PmjpOFcMGi0Ws2gHVKLjEhuFGYDtRSKNAYCsY3c391hiV5rF8NJME/YgOJA85o8ZK9XGvWHL7gJknXgZKUGWq/41e3HLI1QGiao1h3PTYw/pcpwJnBW6KYaE8pGdIAdSyWNUPvTxaEzcmGVPgljZUsaslB/T0xpPUkCmxnRM1Qr3pz8T+vk5rwxp9ymaQGJVsuClNBTEzmX5M+V8iMmFhCmeL2VsKGVFmbDYFG4K3+vI6aV6VvUr5tl4pVe+zOPJwBudwCR5cQxUeoAYNYIDwDK/w5jw5L86787FszTnZzCn8gfP5A+f4jQk=</latexit>Tense Transfer
10 20 30 40 50 60 Accuracy β-VAE AAE LAAE DAAE 15 30 45 60 75 90 BLEU 10 20 30 40 50 60 Perplexity
😋 😋 😋
- AAE has the highest BLEU but the lowest ACC not change the source sentence
Tense Transfer
10 20 30 40 50 60 Accuracy β-VAE AAE LAAE DAAE 15 30 45 60 75 90 BLEU 10 20 30 40 50 60 Perplexity
- DAAE achieves the highest ACC, the lowest PPL, relatively high BLEU
proper tense high quality faithful to source 😋 😋 😋
the staff is rude and the dr. does not spend time with you . the staff was rude and the dr. did not spend time with your attitude . the staff was rude and the dr. does not spend time with you . the staff was rude and the dr. is even for another of her entertained . the staff was rude and the dr. did not make time with you . Input β-VAE AAE LAAE DAAE
Tense Transfer
- DAAE achieves the highest ACC, the lowest PPL, relatively high BLEU
proper tense high quality faithful to source
Sentiment Transfer
- As the scaling factor increases, the resulting sentences generated by DAAE get more and
more positive/negative
Input +v +1.5v +2v the food is entirely tasteless and slimy . the food is tremendous and fresh . the food is sensational and fresh . the food is gigantic . Input
- v
- 1.5v
- 2v
the patrons all looked happy and relaxed . the patrons all helped us were happy and relaxed . the patrons that all seemed around and left very stressed . the patrons actually kept us all looked long and was annoyed .
Sentiment Transfer
20 40 60 80 100 ±v ±1.5v ±2v 10 20 30 40 50 10 20 30 40 50 60 70
😋 😋 😋
Perplexity Accuracy BLEU
- As the scaling factor increases, the resulting sentences generated by DAAE get more and
more positive/negative
Sentiment Transfer
20 40 60 80 100 Accuracy ±v ±1.5v ±2v Shen et al. (2017) 10 20 30 40 50 BLEU 10 20 30 40 50 60 70 Perplexity
😋 😋 😋
- DAAE with is comparable to previous models trained with sentiment labels [Shen et
al., 2017]
±1.5v
<latexit sha1_base64="iK0mYaXUzYqJQNp0fhL/3lNx6rY=">AB73icbVBNSwMxEJ2tX7V+VT16CRbB07IrFfVW0IPHCvYD2qVk02wbmTXJFsoS/+EFw+KePXvePfmLZ70NYHA4/3ZpiZFyacaeN5305hbX1jc6u4XdrZ3ds/KB8eNXWcKkIbJOaxaodYU84kbRhmOG0nimIRctoKR7czvzWmSrNYPpJQgOB5JFjGBjpXY3Ech3L8e9csVzvTnQKvFzUoEc9V75q9uPSqoNIRjrTu+l5gw8owum01E01TAZ4QHtWCqxoDrI5vdO0ZlV+iKlS1p0Fz9PZFhofVEhLZTYDPUy95M/M/rpCa6DjImk9RQSRaLopQjE6PZ86jPFCWGTyzBRDF7KyJDrDAxNqKSDcFfnmVNC9cv+rePFQrtbs8jiKcwCmcgw9XUIN7qEMDCHB4hld4c56cF+fd+Vi0Fpx85hj+wPn8Ad5qjzs=</latexit>Sentence Interpolation via Latent Space Traversal
z1
<latexit sha1_base64="wsy6u12u7VFjOZUTo8QIBijeg/U=">AB8XicbVBNS8NAEJ3Urxq/qh69LJaCp5DUgiIBS8eK9gPbEPZbDft0s0m7G6EGvovHhQxKv/xpv/xm2bg7Y+GHi8N8PMvCDhTGnX/bYKa+sbm1vFbXtnd2/oHR41FJxKgltkpjHshNgRTkTtKmZ5rSTSIqjgN2ML6Z+e1HKhWLxb2eJNSP8FCwkBGsjfRQSa5dx7Of+l6/VHYdw60SryclCFHo1/6g1ikZUaMKxUl3PTbSfYakZ4XRq91JFE0zGeEi7hgocUeVn84unqGKUAQpjaUpoNFd/T2Q4UmoSBaYzwnqklr2Z+J/XTXV46WdMJKmgiwWhSlHOkaz9GASUo0nxiCiWTmVkRGWGKiTUi2CcFbfnmVtKqOd+5U72rl+lUeRxFO4BTOwIMLqMtNKAJBAQ8wyu8Wcp6sd6tj0VrwcpnjuEPrM8fP92PTw=</latexit>z2
<latexit sha1_base64="dRMs9zYmc/tc9WXgZr78v28lIg=">AB8XicbVBNS8NAEJ3Urxq/qh69LJaCp5DUgiIBS8eK9gPbEPZbDft0s0m7G6EGvovHhQxKv/xpv/xm2bg7Y+GHi8N8PMvCDhTGnX/bYKa+sbm1vFbXtnd2/oHR41FJxKgltkpjHshNgRTkTtKmZ5rSTSIqjgN2ML6Z+e1HKhWLxb2eJNSP8FCwkBGsjfRQSa5dx7Of+tV+qew67hxolXg5KUORr/01RvEJI2o0IRjpbqem2g/w1IzwunU7qWKJpiM8ZB2DRU4osrP5hdPUcUoAxTG0pTQaK7+nshwpNQkCkxnhPVILXsz8T+vm+rw0s+YSFJNBVksClOdIxm76MBk5RoPjE8nMrYiMsMREm5BsE4K3/PIqaVUd79yp3tXK9as8jiKcwCmcgQcXUIdbaEATCAh4hld4s5T1Yr1bH4vWgpXPHMfWJ8/QWGPUA=</latexit>zi = t ∗ z1 + (1 − t) ∗ z2
<latexit sha1_base64="21Zk0Oblwgc05cSpCS9/j2lShbs=">ACA3icbZDLSgMxFIYz9VbrepON4OlUBWHSRUoVBw47KCvUBbhkyaUMzF5IzQjsU3Pgqblwo4taXcOfbmF4W2vpD4OM/53ByfjcSXIFtfxupeWV1bX0emZjc2t7J7u7V1NhLCmr0lCEsuESxQPWBU4CNaIJCO+K1jd7d+M6/UHJhUPg3sYRKztk27APU4JaMvJHuSjkm3hzNDhJTgZOvi0gM/gWFPRyeZsy57IXAQ8gxyaqeJkv1qdkMY+C4AKolQT2xG0EyKBU8FGmVasWERon3RZU2NAfKbayeSGkZnXTsf0QqlfAObE/T2REF+pge/qTp9AT83XxuZ/tWYM3lU74UEUAwvodJEXCxNCcxyI2eGSURADYRKrv9q0h6RhIKOLaNDwPMnL0KtaOFzq3h3kStfz+JIo0N0hAoIo0tURreogqIokf0jF7Rm/FkvBjvxse0NWXMZvbRHxmfP1jClMA=</latexit>enc enc dec
sentence 2 sentence 1 ?
dec
?
dec
?
Sentence Interpolation via Latent Space Traversal
it ’s so much better than the other chinese food places in this area . it ’s so much better than the other food places in this area . better , much better . better than other places . better than other places . it ’s so much better than the other chinese food places in this area . it ’s much better than the other chinese places in this area . better than the other chinese places in this area . better than the other places in charlotte . better than other places .
AAE DAAE
- Minimizing does NOT ensure X-structure is preserved in Z-space
- Denoising helps induce latent space organization
- DAAE best preserves sequence neighborhood, provides superior generation-reconstruction
trade-off, and enables zero-shot style transfer
Takeaways
https://github.com/shentianxiao/text-autoencoders
Moving Forward
- Better/task-specific text perturbations
- Additional properties of latent space geometry
- Finer control over text generation