Lecture 27: Ethics in computer vision (part 2)
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Lecture 27: Ethics in computer vision (part 2) 1 Announcements - - PowerPoint PPT Presentation
Lecture 27: Ethics in computer vision (part 2) 1 Announcements Last class :( Extra office hours: Today: end of class until 2pm Thurs: 12:00 - 1:00pm. PS8 grades out (regrade requests due Friday ) PS9, PS10 due tonight. No
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A machine learning algorithm will do whatever the training data tells it to do. If the data is bad or biased, the learned algorithm will be too.
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Source: Isola, Torralba, Freeman
Chatbot released on twitter. Learned from interactions with users Started mimicking offensive language, was shut down.
Image source: https://money.cnn.com/2016/03/30/technology/tay-tweets-microsoft/index.html
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[“Measuring Machine Intelligence Through Visual Question Answering”, Zitnick et al., 2016]
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Test Train
Source: L. Zitnick
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A black and white cat sitting in a bathroom sink. Two zebras and a giraffe in a field.
See mscoco.org for image information
Source: L. Zitnick
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A man riding a motorcycle on a beach. An airplane is parked on the tarmac at an airport.
Source: L. Zitnick
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CIDEr-D Meteor ROUGE-L BLEU-4 Google[4] 0.943 0.254 0.53 0.309 MSR Captivator[9] 0.931 0.248 0.526 0.308 m-RNN[15] 0.917 0.242 0.521 0.299 MSR[8] 0.912 0.247 0.519 0.291 Nearest Neighbor[11] 0.886 0.237 0.507 0.280 m-RNN (Baidu/ UCLA)[16] 0.886 0.238 0.524 0.302 Berkeley LRCN[2] 0.869 0.242 0.517 0.277 Human[5] 0.854 0.252 0.484 0.217 Montreal/Toronto[10] 0.85 0.243 0.513 0.268 PicSOM[13] 0.833 0.231 0.505 0.281 MLBL[7] 0.74 0.219 0.499 0.26 ACVT[1] 0.709 0.213 0.483 0.246 NeuralTalk[12] 0.674 0.21 0.475 0.224 Tsinghua Bigeye[14] 0.673 0.207 0.49 0.241 MIL[6] 0.666 0.214 0.468 0.216 Brno University[3] 0.517 0.195 0.403 0.134
COCO Caption Challenge
Source: L. Zitnick
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Source: L. Zitnick
[“Colorful image colorization”, Zhang et al., ECCV 2016]
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Source: Isola, Torralba, Freeman
[“Colorful image colorization”, Zhang et al., ECCV 2016]
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[“Colorful image colorization”, Zhang et al., ECCV 2016]
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Source: Isola, Torralba, Freeman
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What Google thinks are student bedrooms
Training data
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<latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit><latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit><latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit><latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit>15
Source: Isola, Torralba, Freeman
Driving simulator (GTA) Driving in the real world
Training data
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<latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit><latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit><latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit><latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit>16
Need learning methods that can bridge this domain gap!
Source: Isola, Torralba, Freeman
Revisiting the problem of generalization
17
Training data
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i=1
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Source: Isola, Torralba, Freeman
Training data
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Test data
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<latexit sha1_base64="ailAN+d2xqS6yi5e9LnpFLWhacA=">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</latexit><latexit sha1_base64="ailAN+d2xqS6yi5e9LnpFLWhacA=">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</latexit><latexit sha1_base64="ailAN+d2xqS6yi5e9LnpFLWhacA=">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</latexit><latexit sha1_base64="ailAN+d2xqS6yi5e9LnpFLWhacA=">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</latexit>{x, y} ∼ pdata
<latexit sha1_base64="mUFNuty924IOanGZjn4XtTOYsO0=">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</latexit><latexit sha1_base64="mUFNuty924IOanGZjn4XtTOYsO0=">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</latexit><latexit sha1_base64="mUFNuty924IOanGZjn4XtTOYsO0=">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</latexit><latexit sha1_base64="mUFNuty924IOanGZjn4XtTOYsO0=">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</latexit>19
Source: Isola, Torralba, Freeman
Training data
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Test data
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i
, y(train)
i
}
iid
∼ pdata
<latexit sha1_base64="F6SZQqh25SpT42yY6+vTzj49jNo=">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</latexit><latexit sha1_base64="F6SZQqh25SpT42yY6+vTzj49jNo=">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</latexit><latexit sha1_base64="F6SZQqh25SpT42yY6+vTzj49jNo=">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</latexit><latexit sha1_base64="F6SZQqh25SpT42yY6+vTzj49jNo=">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</latexit>{x(test)
i
, y(test)
i
}
iid
∼ pdata
<latexit sha1_base64="Lsjrj7Fdtqa2ROClF7jpclqRmCc=">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</latexit><latexit sha1_base64="Lsjrj7Fdtqa2ROClF7jpclqRmCc=">ACrXicfVBNaxRBEO0dv+L6tdGjl8ZFiBLWGZHEY1APXsQIbhLY3gw1PbWTJt0zQ3eN7NL0z/NH+Bu86t3ezUbMBxYUPN57RVW9otXKUZr+6CU3bt6fWfjbv/e/QcPHw02Hx+4prMSx7LRjT0qwKFWNY5Jkcaj1iKYQuNhcfp+qR9+Q+tU3+lRYtTA1WtZkoCRSof5MLPc3XstwThnIg8oaPwImwvrmNF4MIRyFOL2p9rSpUheOGUCbzN/9IlEISQD4bpKF0VvwqyNRiyde3nm70dUTayM1iT1ODcJEtbmnqwpKTG0BedwzaeABVOIqzBoJv6VRKBP49MyWeNjV0TX7H/Tngwzi1MEZ0G6MRd1pbkdqko9nbqVd12xHW8mzRrNOcGr6MlZfKoiS9iACkVfFWLk/AgqQYfv/CmqIwITIfML5n8VNc9blFC9TYl16ArQzMQ3y3EtL9D+jqs+NEcWks8u5XgUHr0dZOsq+vBnuvVtnvsGesmdsi2Vsl+2xj2yfjZlk39lP9ov9Tl4l40Qkx2fWpLecIuVFL9AUkh2pc=</latexit><latexit sha1_base64="Lsjrj7Fdtqa2ROClF7jpclqRmCc=">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</latexit><latexit sha1_base64="Lsjrj7Fdtqa2ROClF7jpclqRmCc=">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</latexit>{x(train)
i
, y(train)
i
}N
i=1
<latexit sha1_base64="IkvWnIqLalFkFacZq6rDBnk14rU=">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</latexit><latexit sha1_base64="IkvWnIqLalFkFacZq6rDBnk14rU=">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</latexit><latexit sha1_base64="IkvWnIqLalFkFacZq6rDBnk14rU=">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</latexit><latexit sha1_base64="IkvWnIqLalFkFacZq6rDBnk14rU=">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</latexit>{x(test)
i
, y(test)
i
}M
i=1
<latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">AChXicfZDfShtBFMYnqzY2tTXay94sBsEWG3aLxN6UinrhjVTBqJCNy9nJSRycmV1mzpaEYR+lT9NbfYC+TScxBf/RAwM/vMdzpwvK6SwFEV/asHC4tKr+vLrxpuVt+9Wm2vr5zYvDcuz2VuLjOwKIXGLgmSeFkYBJVJvMhuDqb9i59orMj1GU0K7CsYaTEUHMhLaXM3ceNUXLmthHBMRI7QUvWx2p68pCZV6sS3uLo6TputqB3NKnwO8RxabF4n6VqtkwxyXirUxCVY24ujgvoODAkusWokpcUC+A2MsOdRg0Lbd7MLq3DTK4NwmBv/NIUz9eGEA2XtRGXeqYCu7dPeVHyp1ytp+LXvhC5KQs3vFw1LGVIeTuMKB8IgJznxANwI/9eQX4MBTj7UxqM1WaYqrxyiP8/gsV/1o0ADlJtPLgEzUjCu/LmjZHtK/zMK/c/oyScdP831OZx/acdROz7dae3tzNfZh/YBtiMdtle+yInbAu4+wX+81u2V1QDz4HO0Hn3hrU5jPv2aMKv8FjNzHvQ=</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">AChXicfZDfShtBFMYnqzY2tTXay94sBsEWG3aLxN6UinrhjVTBqJCNy9nJSRycmV1mzpaEYR+lT9NbfYC+TScxBf/RAwM/vMdzpwvK6SwFEV/asHC4tKr+vLrxpuVt+9Wm2vr5zYvDcuz2VuLjOwKIXGLgmSeFkYBJVJvMhuDqb9i59orMj1GU0K7CsYaTEUHMhLaXM3ceNUXLmthHBMRI7QUvWx2p68pCZV6sS3uLo6TputqB3NKnwO8RxabF4n6VqtkwxyXirUxCVY24ujgvoODAkusWokpcUC+A2MsOdRg0Lbd7MLq3DTK4NwmBv/NIUz9eGEA2XtRGXeqYCu7dPeVHyp1ytp+LXvhC5KQs3vFw1LGVIeTuMKB8IgJznxANwI/9eQX4MBTj7UxqM1WaYqrxyiP8/gsV/1o0ADlJtPLgEzUjCu/LmjZHtK/zMK/c/oyScdP831OZx/acdROz7dae3tzNfZh/YBtiMdtle+yInbAu4+wX+81u2V1QDz4HO0Hn3hrU5jPv2aMKv8FjNzHvQ=</latexit>20
Source: Isola, Torralba, Freeman
Training data
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Test data
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<latexit sha1_base64="Mn5HWu+ygj1D4Fwosd+kb7fTf4=">ACO3icfZDLSgMxFIYz9VbrdWlm8EqiEiZEUGXRV24EVuwF+iUciY9bUMzmSHJiGXoE7jVx/FBXLsTt+5NL4K24oHAx3/+JOf8fsSZ0o7zaqUWFpeWV9KrmbX1jc2tbG67qsJYUqzQkIey7oNCzgRWNMc65FECHyONb9/OerX7lEqFo7PYiwGUBXsA6joI1UreyeafgjMueB3cKeTKtUitn7XvtkMYBCk05KNVwnUg3E5CaUY7DjBcrjID2oYsNgwICVM1kPOnQPjBK2+6E0hyh7bH680YCgVKDwDfOAHRPzfZG4l+9Rqw7582EiSjWKOjko07MbR3ao7XtNpNINR8YACqZmdWmPZBAtQknk/Gu0Cwj8cY8fBuhB3Ko8QD2Q3gYWiW63rHI/rPyMS30ZDJ1Z1NcR6qJwXKbjl03zxYpwmuySPXJIXHJGiuSalEiFUILkTyRZ+vFerPerY+JNWVN7+yQX2V9fgFhZ62f</latexit><latexit sha1_base64="Mn5HWu+ygj1D4Fwosd+kb7fTf4=">ACO3icfZDLSgMxFIYz9VbrdWlm8EqiEiZEUGXRV24EVuwF+iUciY9bUMzmSHJiGXoE7jVx/FBXLsTt+5NL4K24oHAx3/+JOf8fsSZ0o7zaqUWFpeWV9KrmbX1jc2tbG67qsJYUqzQkIey7oNCzgRWNMc65FECHyONb9/OerX7lEqFo7PYiwGUBXsA6joI1UreyeafgjMueB3cKeTKtUitn7XvtkMYBCk05KNVwnUg3E5CaUY7DjBcrjID2oYsNgwICVM1kPOnQPjBK2+6E0hyh7bH680YCgVKDwDfOAHRPzfZG4l+9Rqw7582EiSjWKOjko07MbR3ao7XtNpNINR8YACqZmdWmPZBAtQknk/Gu0Cwj8cY8fBuhB3Ko8QD2Q3gYWiW63rHI/rPyMS30ZDJ1Z1NcR6qJwXKbjl03zxYpwmuySPXJIXHJGiuSalEiFUILkTyRZ+vFerPerY+JNWVN7+yQX2V9fgFhZ62f</latexit><latexit sha1_base64="Mn5HWu+ygj1D4Fwosd+kb7fTf4=">ACO3icfZDLSgMxFIYz9VbrdWlm8EqiEiZEUGXRV24EVuwF+iUciY9bUMzmSHJiGXoE7jVx/FBXLsTt+5NL4K24oHAx3/+JOf8fsSZ0o7zaqUWFpeWV9KrmbX1jc2tbG67qsJYUqzQkIey7oNCzgRWNMc65FECHyONb9/OerX7lEqFo7PYiwGUBXsA6joI1UreyeafgjMueB3cKeTKtUitn7XvtkMYBCk05KNVwnUg3E5CaUY7DjBcrjID2oYsNgwICVM1kPOnQPjBK2+6E0hyh7bH680YCgVKDwDfOAHRPzfZG4l+9Rqw7582EiSjWKOjko07MbR3ao7XtNpNINR8YACqZmdWmPZBAtQknk/Gu0Cwj8cY8fBuhB3Ko8QD2Q3gYWiW63rHI/rPyMS30ZDJ1Z1NcR6qJwXKbjl03zxYpwmuySPXJIXHJGiuSalEiFUILkTyRZ+vFerPerY+JNWVN7+yQX2V9fgFhZ62f</latexit><latexit sha1_base64="Mn5HWu+ygj1D4Fwosd+kb7fTf4=">ACO3icfZDLSgMxFIYz9VbrdWlm8EqiEiZEUGXRV24EVuwF+iUciY9bUMzmSHJiGXoE7jVx/FBXLsTt+5NL4K24oHAx3/+JOf8fsSZ0o7zaqUWFpeWV9KrmbX1jc2tbG67qsJYUqzQkIey7oNCzgRWNMc65FECHyONb9/OerX7lEqFo7PYiwGUBXsA6joI1UreyeafgjMueB3cKeTKtUitn7XvtkMYBCk05KNVwnUg3E5CaUY7DjBcrjID2oYsNgwICVM1kPOnQPjBK2+6E0hyh7bH680YCgVKDwDfOAHRPzfZG4l+9Rqw7582EiSjWKOjko07MbR3ao7XtNpNINR8YACqZmdWmPZBAtQknk/Gu0Cwj8cY8fBuhB3Ko8QD2Q3gYWiW63rHI/rPyMS30ZDJ1Z1NcR6qJwXKbjl03zxYpwmuySPXJIXHJGiuSalEiFUILkTyRZ+vFerPerY+JNWVN7+yQX2V9fgFhZ62f</latexit>Y
<latexit sha1_base64="Ijxps2qGQ70n8PTgUyIHZ5ypbqc=">ACO3icfZDLSgMxFIYzXmu9tbp0M1gFESkzIuiyqAs3Ygv2Ip1SzqSnbWgmMyQZsQx9Arf6OD6Ia3fi1r3pRdBWPBD4+M+f5JzfjzhT2nFerbn5hcWl5dRKenVtfWMzk92qDCWFMs05KGs+aCQM4FlzTHWiQRAp9j1e9dDPvVe5SKheJW9yNsBNARrM0oaCOV7pqZnJN3RmXPgjuBHJlUsZm19rxWSOMAhaYclKq7TqQbCUjNKMdB2osVRkB70MG6QEBqkYymnRg7xulZbdDaY7Q9kj9eSOBQKl+4BtnALqrpntD8a9ePdbts0bCRBRrFHT8UTvmtg7t4dp2i0mkmvcNAJXMzGrTLkig2oSTnuXaJaReG0evolQg7lYeKB7ATwMDLdbyjIf1nZOLbaMjk6k6nOAuV47zr5N3Sa5wPk4RXbILjkgLjklBXJFiqRMKEHySJ7Is/VivVnv1sfYOmdN7myTX2V9fgFjPq2g</latexit><latexit sha1_base64="Ijxps2qGQ70n8PTgUyIHZ5ypbqc=">ACO3icfZDLSgMxFIYzXmu9tbp0M1gFESkzIuiyqAs3Ygv2Ip1SzqSnbWgmMyQZsQx9Arf6OD6Ia3fi1r3pRdBWPBD4+M+f5JzfjzhT2nFerbn5hcWl5dRKenVtfWMzk92qDCWFMs05KGs+aCQM4FlzTHWiQRAp9j1e9dDPvVe5SKheJW9yNsBNARrM0oaCOV7pqZnJN3RmXPgjuBHJlUsZm19rxWSOMAhaYclKq7TqQbCUjNKMdB2osVRkB70MG6QEBqkYymnRg7xulZbdDaY7Q9kj9eSOBQKl+4BtnALqrpntD8a9ePdbts0bCRBRrFHT8UTvmtg7t4dp2i0mkmvcNAJXMzGrTLkig2oSTnuXaJaReG0evolQg7lYeKB7ATwMDLdbyjIf1nZOLbaMjk6k6nOAuV47zr5N3Sa5wPk4RXbILjkgLjklBXJFiqRMKEHySJ7Is/VivVnv1sfYOmdN7myTX2V9fgFjPq2g</latexit><latexit sha1_base64="Ijxps2qGQ70n8PTgUyIHZ5ypbqc=">ACO3icfZDLSgMxFIYzXmu9tbp0M1gFESkzIuiyqAs3Ygv2Ip1SzqSnbWgmMyQZsQx9Arf6OD6Ia3fi1r3pRdBWPBD4+M+f5JzfjzhT2nFerbn5hcWl5dRKenVtfWMzk92qDCWFMs05KGs+aCQM4FlzTHWiQRAp9j1e9dDPvVe5SKheJW9yNsBNARrM0oaCOV7pqZnJN3RmXPgjuBHJlUsZm19rxWSOMAhaYclKq7TqQbCUjNKMdB2osVRkB70MG6QEBqkYymnRg7xulZbdDaY7Q9kj9eSOBQKl+4BtnALqrpntD8a9ePdbts0bCRBRrFHT8UTvmtg7t4dp2i0mkmvcNAJXMzGrTLkig2oSTnuXaJaReG0evolQg7lYeKB7ATwMDLdbyjIf1nZOLbaMjk6k6nOAuV47zr5N3Sa5wPk4RXbILjkgLjklBXJFiqRMKEHySJ7Is/VivVnv1sfYOmdN7myTX2V9fgFjPq2g</latexit><latexit sha1_base64="Ijxps2qGQ70n8PTgUyIHZ5ypbqc=">ACO3icfZDLSgMxFIYzXmu9tbp0M1gFESkzIuiyqAs3Ygv2Ip1SzqSnbWgmMyQZsQx9Arf6OD6Ia3fi1r3pRdBWPBD4+M+f5JzfjzhT2nFerbn5hcWl5dRKenVtfWMzk92qDCWFMs05KGs+aCQM4FlzTHWiQRAp9j1e9dDPvVe5SKheJW9yNsBNARrM0oaCOV7pqZnJN3RmXPgjuBHJlUsZm19rxWSOMAhaYclKq7TqQbCUjNKMdB2osVRkB70MG6QEBqkYymnRg7xulZbdDaY7Q9kj9eSOBQKl+4BtnALqrpntD8a9ePdbts0bCRBRrFHT8UTvmtg7t4dp2i0mkmvcNAJXMzGrTLkig2oSTnuXaJaReG0evolQg7lYeKB7ATwMDLdbyjIf1nZOLbaMjk6k6nOAuV47zr5N3Sa5wPk4RXbILjkgLjklBXJFiqRMKEHySJ7Is/VivVnv1sfYOmdN7myTX2V9fgFjPq2g</latexit>{x(train)
i
, y(train)
i
}
iid
∼ pdata
<latexit sha1_base64="F6SZQqh25SpT42yY6+vTzj49jNo=">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</latexit><latexit sha1_base64="F6SZQqh25SpT42yY6+vTzj49jNo=">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</latexit><latexit sha1_base64="F6SZQqh25SpT42yY6+vTzj49jNo=">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</latexit><latexit sha1_base64="F6SZQqh25SpT42yY6+vTzj49jNo=">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</latexit>{x(test)
i
, y(test)
i
}
iid
∼ pdata
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i
, y(train)
i
}N
i=1
<latexit sha1_base64="IkvWnIqLalFkFacZq6rDBnk14rU=">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</latexit><latexit sha1_base64="IkvWnIqLalFkFacZq6rDBnk14rU=">ACh3icfZBNTxsxEIadhVJIvwIce1kRVaIVSnerio8DErQceikfUgNI2bCadSbBwvau7FmUyNrf0l/Ta3vuv8EJe+BLjGTp0TvaDxvVkhKYr+N4K5+RcLxeXmq9ev3n7rW8cmrz0nDs8lzm5jwDi1Jo7JIgieFQVCZxLPs6vu0f3aNxopc/6JgX0FIy2GgN5KW3tJG6cigu3nhCOiciRAaGrj9XG5Ek5qVInduPq4jBtaNONKvwMcQ1tFldx+lyYzMZ5LxUqIlLsLYXRwX1HRgSXGLVTEqLBfArGHPowaFtu9mN1bhB68MwmFu/NMUztS7Ew6UtROVeacCurQPe1PxqV6vpOF23wldlISa3y4aljKkPJwGFg6EQU5y4gG4Ef6vIb8EA5x8rM17a7JMV45QH+ewZ9+1VGBig3n1wCZqRgXPlzR8nGlJ4z+qxroyefdPw18dw+qUTR5345Gt71ud+SJ7z9bYOovZFtjP9gx6zLOfrM/7C/7FywFn4PNYPvWGjTqmV2r4L9G20kyI4=</latexit><latexit sha1_base64="IkvWnIqLalFkFacZq6rDBnk14rU=">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</latexit><latexit sha1_base64="IkvWnIqLalFkFacZq6rDBnk14rU=">ACh3icfZBNTxsxEIadhVJIvwIce1kRVaIVSnerio8DErQceikfUgNI2bCadSbBwvau7FmUyNrf0l/Ta3vuv8EJe+BLjGTp0TvaDxvVkhKYr+N4K5+RcLxeXmq9ev3n7rW8cmrz0nDs8lzm5jwDi1Jo7JIgieFQVCZxLPs6vu0f3aNxopc/6JgX0FIy2GgN5KW3tJG6cigu3nhCOiciRAaGrj9XG5Ek5qVInduPq4jBtaNONKvwMcQ1tFldx+lyYzMZ5LxUqIlLsLYXRwX1HRgSXGLVTEqLBfArGHPowaFtu9mN1bhB68MwmFu/NMUztS7Ew6UtROVeacCurQPe1PxqV6vpOF23wldlISa3y4aljKkPJwGFg6EQU5y4gG4Ef6vIb8EA5x8rM17a7JMV45QH+ewZ9+1VGBig3n1wCZqRgXPlzR8nGlJ4z+qxroyefdPw18dw+qUTR5345Gt71ud+SJ7z9bYOovZFtjP9gx6zLOfrM/7C/7FywFn4PNYPvWGjTqmV2r4L9G20kyI4=</latexit>{x(test)
i
, y(test)
i
}M
i=1
<latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">AChXicfZDfShtBFMYnqzY2tTXay94sBsEWG3aLxN6UinrhjVTBqJCNy9nJSRycmV1mzpaEYR+lT9NbfYC+TScxBf/RAwM/vMdzpwvK6SwFEV/asHC4tKr+vLrxpuVt+9Wm2vr5zYvDcuz2VuLjOwKIXGLgmSeFkYBJVJvMhuDqb9i59orMj1GU0K7CsYaTEUHMhLaXM3ceNUXLmthHBMRI7QUvWx2p68pCZV6sS3uLo6TputqB3NKnwO8RxabF4n6VqtkwxyXirUxCVY24ujgvoODAkusWokpcUC+A2MsOdRg0Lbd7MLq3DTK4NwmBv/NIUz9eGEA2XtRGXeqYCu7dPeVHyp1ytp+LXvhC5KQs3vFw1LGVIeTuMKB8IgJznxANwI/9eQX4MBTj7UxqM1WaYqrxyiP8/gsV/1o0ADlJtPLgEzUjCu/LmjZHtK/zMK/c/oyScdP831OZx/acdROz7dae3tzNfZh/YBtiMdtle+yInbAu4+wX+81u2V1QDz4HO0Hn3hrU5jPv2aMKv8FjNzHvQ=</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit>21
Source: Isola, Torralba, Freeman
Training data
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Test data
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}M
i=1
<latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">AChXicfZDfShtBFMYnqzY2tTXay94sBsEWG3aLxN6UinrhjVTBqJCNy9nJSRycmV1mzpaEYR+lT9NbfYC+TScxBf/RAwM/vMdzpwvK6SwFEV/asHC4tKr+vLrxpuVt+9Wm2vr5zYvDcuz2VuLjOwKIXGLgmSeFkYBJVJvMhuDqb9i59orMj1GU0K7CsYaTEUHMhLaXM3ceNUXLmthHBMRI7QUvWx2p68pCZV6sS3uLo6TputqB3NKnwO8RxabF4n6VqtkwxyXirUxCVY24ujgvoODAkusWokpcUC+A2MsOdRg0Lbd7MLq3DTK4NwmBv/NIUz9eGEA2XtRGXeqYCu7dPeVHyp1ytp+LXvhC5KQs3vFw1LGVIeTuMKB8IgJznxANwI/9eQX4MBTj7UxqM1WaYqrxyiP8/gsV/1o0ADlJtPLgEzUjCu/LmjZHtK/zMK/c/oyScdP831OZx/acdROz7dae3tzNfZh/YBtiMdtle+yInbAu4+wX+81u2V1QDz4HO0Hn3hrU5jPv2aMKv8FjNzHvQ=</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit>{x(test)
i
, y(test)
i
}
iid
∼ ptest
<latexit sha1_base64="CujUTGVi02kOM5VZS2BPlXQoAk=">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</latexit><latexit sha1_base64="CujUTGVi02kOM5VZS2BPlXQoAk=">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</latexit><latexit sha1_base64="CujUTGVi02kOM5VZS2BPlXQoAk=">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</latexit><latexit sha1_base64="CujUTGVi02kOM5VZS2BPlXQoAk=">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</latexit>{x(train)
i
, y(train)
i
}
iid
∼ ptrain
<latexit sha1_base64="AJMBkVHrenEoK6c0Bb3T+dMtxm4=">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</latexit><latexit sha1_base64="AJMBkVHrenEoK6c0Bb3T+dMtxm4=">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</latexit><latexit sha1_base64="AJMBkVHrenEoK6c0Bb3T+dMtxm4=">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</latexit><latexit sha1_base64="AJMBkVHrenEoK6c0Bb3T+dMtxm4=">AC0HicfVFNixQxEM20H7u2X7N69NI4CKsQ7cI7nFRD17EVZzZhUnbpNM1M2GTdJNU6whiFd/mX/BP+FVj6ZnW3A/sCDw8l5VUvWqbKSwmKY/BtGVq9eub23fiG/eun3n7nDn3tTWreEw4bWszXHJLEihYICJRw3BpgqJRyVJy87/egTGCtq/QHXDeSKLbSYC84wUMWwpG5ViI9ulyKsENGhYUL7x35vfSlNfUItMn5iQLq/ohCV945aoXzSFO5sjS+Go3ScbiK5CLIejEgfh8XOYEqrmrcKNHLJrJ1laYO5YwYFl+Bj2lpoQg9sAbMANVNgc7cxwyePAlMl89qEozHZsP9WOKasXasyZCqGS3te68jLtFmL8/3cCd20CJqfjRvZYJ10jmbVMIAR7kOgHEjQq8JXzLDOAb/45i+gjCMgTfh4bcNGIa1eIoMwvFVj4Mt6B7HfpfYrCzTwopho+81opitHdW2Un2W5oxLmSOUDI4yasRidR0Nx+HTWTnfb8Ipk/HWTrO3j0bHbzod7JNHpCHZJdk5Dk5IK/JIZkQTr6Tn+QX+R29j1bRl+jraWo06GvukzMRfsDSRXpOg=</latexit>ptrain 6= ptest
<latexit sha1_base64="07WdnpfZGe35AZMzyujcnL4CpxU=">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</latexit><latexit sha1_base64="07WdnpfZGe35AZMzyujcnL4CpxU=">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</latexit><latexit sha1_base64="07WdnpfZGe35AZMzyujcnL4CpxU=">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</latexit><latexit sha1_base64="07WdnpfZGe35AZMzyujcnL4CpxU=">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</latexit>22
Source: Isola, Torralba, Freeman
Training data
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}M
i=1
<latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit>Our training data did cover the part of the distribution that was tested (biased data) generalization error
23
Source: Isola, Torralba, Freeman
Domain gap between and will cause us to fail to generalize.
training domain testing domain
(where we actual use our model) Space of natural images Training data Test data
24
Source: Isola, Torralba, Freeman
https://www.nytimes.com/2018/02/09/technology/facial-recognition-race-artificial-intelligence.html
25
Source: Isola, Torralba, Freeman
http://proceedings.mlr.press/v81/buolamwini18a/buolamwini18a.pdf
http://gendershades.org/overview.html
26
Source: Isola, Torralba, Freeman
27
https://www.nytimes.com/2017/10/09/science/stanford-sexual-orientation-study.html
+ Correctly labeled + Unbiased (good coverage of all relevant kinds of data)
28
Source: Isola, Torralba, Freeman
29
The Large Hadron Collider $ 10 10 Amazon Mechanical Turk $ 10 2 - 10 4
30
Source: Isola, Torralba, Freeman
31
32
Source: Isola, Torralba, Freeman
Labeling to get a Ph.D. Labeling for money
(Sorokin, Forsyth, 2008)
Labeling because it gives you added value Visipedia
(Belongie, Perona, et al)
Labeling for fun
Luis Von Ahn and Laura Dabbish 2004
Getting more humans in the annotation loop
Labeling to prove you’re human
33
Source: Isola, Torralba, Freeman
Let’s check a few simple experiments
34
Source: Isola, Torralba, Freeman
Turkers were offered 1 cent to pick a number from 1 to 10.
From http://groups.csail.mit.edu/uid/deneme/ ~850 turkers Experiment by Greg Little
35
Source: Isola, Torralba, Freeman
Do humans have consistent biases?
Results form 100 HITS: From http://groups.csail.mit.edu/uid/deneme/ Experiment by Greg Little
36
Source: Isola, Torralba, Freeman
Are humans reliable even in simple tasks?
From http://groups.csail.mit.edu/uid/deneme/ Experiment by Greg Little
A: 2 B: 96 C: 2 Results of 100 HITS:
37
Source: Isola, Torralba, Freeman
Do humans do what you ask for?
31 heads, 19 tails After 50 HITS: 34 heads, 16 tails And 50 more:
From http://groups.csail.mit.edu/uid/deneme/ Experiment by Rob Miller
38
Source: Isola, Torralba, Freeman
But suppose we messed up. Our test setting doesn’t look like the training data! So we can sometimes collect good training data. How can we bridge the domain gap?
39
Source: Isola, Torralba, Freeman
Finding more representative images
[Fouhey et al., "From Lifestyle Vlogs to Everyday Actions", 2017]
Finding more representative images
[Fouhey et al., "From Lifestyle Vlogs to Everyday Actions", 2017]
42
Name that dataset game
[Torralba and Efros, “An unbiased look at dataset bias,” 2011]
Domain gap between and will cause us to fail to generalize.
training domain testing domain
(where we actual use our model) Space of natural images Training data Test data
43
Source: Isola, Torralba, Freeman
Domain gap between and will cause us to fail to generalize.
source domain target domain
(where we actual use our model) Space of natural images Source data Target data
psource
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<latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit>44
Source: Isola, Torralba, Freeman
Data space source data target data
Idea #1: transform the target domain to look like the source domain (Or vice versa) This is called domain adaptation
45
Source: Isola, Torralba, Freeman
46
Source: Isola, Torralba, Freeman
It’s a just another distribution mapping problem!
psource
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<latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit>47
Source: Isola, Torralba, Freeman
Horses Zebras
Y
48
Source: Isola, Torralba, Freeman
psource
<latexit sha1_base64="vaALgwqp7UHoQMqUQNTrbkVrMAo=">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</latexit><latexit sha1_base64="vaALgwqp7UHoQMqUQNTrbkVrMAo=">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</latexit><latexit sha1_base64="vaALgwqp7UHoQMqUQNTrbkVrMAo=">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</latexit><latexit sha1_base64="vaALgwqp7UHoQMqUQNTrbkVrMAo=">ACgXicfVHbahRBEO2deInjbWMe8zK4CqyzARBwZegefAlGMHdBLaHpa3ZrZJX4buGs0yzLf4qp+Uv7FndwVNxIKGU6dOVdelqJX0lKZXg2jn1u07d3fvxfcfPHz0eLj3ZOpt4wROhFXWnRfgUmDE5Kk8Lx2CLpQeFZcfOjZ1/ReWnNF1rVmGuojCylArUfLhfz1tOeElE7aZo182Ho3Scri25CbItGLGtnc73BlO+sKLRaEgo8H6WpTXlLTiSQmEX8ZjDeICKpwFaECjz9t1913yLDCLpLQuPEPJmv0zowXt/UoXQamBlv56rCf/FZs1VL7NW2nqhtCIzUdloxKySb+KZCEdClKrAEA4GXpNxBIcCAoLi2N+jGEYhyeh8KcaHZB1L1sOrtJw2YXhKv6qR/8TSvNbGFDMDX4TVmswi5Yb63Q3y/KWKyJqyk6GmXcyWpJ3PVeF4dLZNf3fhNMD8dZOs4+vx4dvd/eZJcdsKfsOcvYG3bEPrJTNmGCrdh39oP9jHaiF1EaHW6k0WCbs8/+sujdL7ZIxe0=</latexit>ptarget
<latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">ACgXicfVHbahRBEO2deInjbWMe8zK4CqyzATBgC9BfchLMIK7CWwPS01vzWyTvgzdNTHLMN/iq36Sf5OezQqaiAUNp0+d6q46VdRKekrTX4No687de/e3H8QPHz1+8nS482zqbeMEToRV1p0V4FJgxOSpPCsdgi6UHhanH/s86cX6Ly05iutasw1VEaWUgAFaj7crectJ7wkopbAVUhdNx+O0nG6juQ2yDZgxDZxMt8ZTPnCikajIaHA+1mW1pS34EgKhV3MG481iHOocBagAY0+b9fd8mLwCyS0rpwDCVr9s+KFrT3K10EpQZa+pu5nvxXbtZQeZC30tQNoRHXH5WNSsgmvRXJQjoUpFYBgHAy9JqIJTgQFAyLY/4JwzAOj8PDn2t0QNa9bnkwScNlF4ar+Jse/U8ozW9hQDE3+E1YrcEsWm6s090sy1usCSupuholHEnqyVx19+6OGwiu+n7bTDdH2fpOPvydnT4YbOTbHnrOXLGPv2CE7YidswgRbse/sB/sZbUWvojTav5ZGg03NLvsrovdXoYrF4w=</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit>49
Source: Isola, Torralba, Freeman
Domain gap between and will cause us to fail to generalize.
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psource
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<latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">ACgXicfVHbahRBEO2deInjbWMe8zK4CqyzATBgC9BfchLMIK7CWwPS01vzWyTvgzdNTHLMN/iq36Sf5OezQqaiAUNp0+d6q46VdRKekrTX4No687de/e3H8QPHz1+8nS482zqbeMEToRV1p0V4FJgxOSpPCsdgi6UHhanH/s86cX6Ly05iutasw1VEaWUgAFaj7crectJ7wkopbAVUhdNx+O0nG6juQ2yDZgxDZxMt8ZTPnCikajIaHA+1mW1pS34EgKhV3MG481iHOocBagAY0+b9fd8mLwCyS0rpwDCVr9s+KFrT3K10EpQZa+pu5nvxXbtZQeZC30tQNoRHXH5WNSsgmvRXJQjoUpFYBgHAy9JqIJTgQFAyLY/4JwzAOj8PDn2t0QNa9bnkwScNlF4ar+Jse/U8ozW9hQDE3+E1YrcEsWm6s090sy1usCSupuholHEnqyVx19+6OGwiu+n7bTDdH2fpOPvydnT4YbOTbHnrOXLGPv2CE7YidswgRbse/sB/sZbUWvojTav5ZGg03NLvsrovdXoYrF4w=</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">ACgXicfVHbahRBEO2deInjbWMe8zK4CqyzATBgC9BfchLMIK7CWwPS01vzWyTvgzdNTHLMN/iq36Sf5OezQqaiAUNp0+d6q46VdRKekrTX4No687de/e3H8QPHz1+8nS482zqbeMEToRV1p0V4FJgxOSpPCsdgi6UHhanH/s86cX6Ly05iutasw1VEaWUgAFaj7crectJ7wkopbAVUhdNx+O0nG6juQ2yDZgxDZxMt8ZTPnCikajIaHA+1mW1pS34EgKhV3MG481iHOocBagAY0+b9fd8mLwCyS0rpwDCVr9s+KFrT3K10EpQZa+pu5nvxXbtZQeZC30tQNoRHXH5WNSsgmvRXJQjoUpFYBgHAy9JqIJTgQFAyLY/4JwzAOj8PDn2t0QNa9bnkwScNlF4ar+Jse/U8ozW9hQDE3+E1YrcEsWm6s090sy1usCSupuholHEnqyVx19+6OGwiu+n7bTDdH2fpOPvydnT4YbOTbHnrOXLGPv2CE7YidswgRbse/sB/sZbUWvojTav5ZGg03NLvsrovdXoYrF4w=</latexit>source domain
Source data
target domain
(where we actual use our model) Target data
50
Source: Isola, Torralba, Freeman
CyCADA: Cycle-Consistent Adversarial Domain Adaptation
Source domain
Target domain
[Hoffman, Tzeng, Park, Zhu, Isola, Saenko, Darrell, Efros, arXiv 2017]
51
Source: Isola, Torralba, Freeman
CycleGAN
Training data
52
Source: Isola, Torralba, Freeman
Training data
CycleGAN
53
Source: Isola, Torralba, Freeman
Training data
CycleGAN FCN
54
Source: Isola, Torralba, Freeman
55
Source: Isola, Torralba, Freeman
Domain gap between and will cause us to fail to generalize.
Space of images
psource
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<latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit><latexit sha1_base64="gn/SjYy0NI2S5kYJAYkISuqsUI=">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</latexit>target domain
(where we actual use our model) Target data
source domain
Source data
56
Source: Isola, Torralba, Freeman
Data space Training data Test data
Idea #2: train on randomly perturbed data, so that test set just looks like another random perturbation This is called domain randomization or data augmentation
57
Source: Isola, Torralba, Freeman
Training data
n
n
n
…
x
“Fish” “Grizzly” “Chameleon”
y
<latexit sha1_base64="vxBEnhzMsLfh3VlVCSTOZDBJ93o=">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</latexit><latexit sha1_base64="vxBEnhzMsLfh3VlVCSTOZDBJ93o=">ACgHicfVHbahRBEO0db3G8Jfroy+AiBJF1OgGn4L64IuYgLsJbA+hprdmtklfhu6a6DLMF/iqH+f2LNZISZiQcPpU6eq63SVjVaB8vzXKLlx89btO1t303v3Hzx8tL3zeBZc6yVOpdPOn5QUCuLU1Kk8aTxCKbUeFyevR/yx+fog3L2C60aLAzUVlVKAkXqaHW6Pc4n+Tqy64BvwJht4vB0Z6TEwsnWoCWpIYQ5zxsqOvCkpMY+FW3ABuQZ1DiP0ILBUHTrSfvseWQWeV8PJayNXu5ogMTwsqUWmAluFqbiD/lZu3VO0XnbJNS2jlxUNVqzNy2WA7WyiPkvQqApBexVkzuQPkuLnpKn4gNGMx0+x8ecGPZDzLzoBvjbwrY/mavFyQP8TKvtHGFsafGrdMaAXTCOm/6OS86obEioWfoacyFV/WShB9uQ8Ulr2Vp+jQuh19dxXUw25vwfMKPXo8P3m3WtMWesmdsl3H2h2wj+yQTZlkyL6zH+xnkiS7yauEX0iT0abmCfsrkre/Ad2TxFY=</latexit><latexit sha1_base64="vxBEnhzMsLfh3VlVCSTOZDBJ93o=">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</latexit><latexit sha1_base64="vxBEnhzMsLfh3VlVCSTOZDBJ93o=">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</latexit>Mirror
Crop
Crop
Darken
58
Source: Isola, Torralba, Freeman
Above example is from [Tobin et al. 2017]
Training data
<latexit sha1_base64="4gXZsPFg4PMoPOoO47pTNWzkob0=">AB9HicbVA9SwNBEN2LXzF+RS1tFoNgFe7SaBm0sYyQL0iOMLe3lyzZ2zt35wIh5HfYWChi64+x89+4Sa7QxAcDj/dmJkXpFIYdN1vp7C1vbO7V9wvHRweHZ+UT8/aJsk04y2WyER3AzBcCsVbKFDybqo5xIHknWB8v/A7E6NSFQTpyn3YxgqEQkGaCW/qUEoY0BIRBueJW3SXoJvFyUiE5GoPyVz9MWBZzhUyCMT3PTdGfgUbBJ+X+pnhKbAxDHnPUgUxN/5sefScXlklpFGibSmkS/X3xAxiY6ZxYDtjwJFZ9xbif14vw+jWnwmVZsgVWy2KMkxoYsEaCg0ZyinlgDTwt5K2Qg0MLQ5lWwI3vrLm6Rdq3pu1XusVep3eRxFckEuyTXxyA2pkwfSIC3CyBN5Jq/kzZk4L86787FqLTj5zDn5A+fzB45lkfA=</latexit><latexit sha1_base64="4gXZsPFg4PMoPOoO47pTNWzkob0=">AB9HicbVA9SwNBEN2LXzF+RS1tFoNgFe7SaBm0sYyQL0iOMLe3lyzZ2zt35wIh5HfYWChi64+x89+4Sa7QxAcDj/dmJkXpFIYdN1vp7C1vbO7V9wvHRweHZ+UT8/aJsk04y2WyER3AzBcCsVbKFDybqo5xIHknWB8v/A7E6NSFQTpyn3YxgqEQkGaCW/qUEoY0BIRBueJW3SXoJvFyUiE5GoPyVz9MWBZzhUyCMT3PTdGfgUbBJ+X+pnhKbAxDHnPUgUxN/5sefScXlklpFGibSmkS/X3xAxiY6ZxYDtjwJFZ9xbif14vw+jWnwmVZsgVWy2KMkxoYsEaCg0ZyinlgDTwt5K2Qg0MLQ5lWwI3vrLm6Rdq3pu1XusVep3eRxFckEuyTXxyA2pkwfSIC3CyBN5Jq/kzZk4L86787FqLTj5zDn5A+fzB45lkfA=</latexit><latexit sha1_base64="4gXZsPFg4PMoPOoO47pTNWzkob0=">AB9HicbVA9SwNBEN2LXzF+RS1tFoNgFe7SaBm0sYyQL0iOMLe3lyzZ2zt35wIh5HfYWChi64+x89+4Sa7QxAcDj/dmJkXpFIYdN1vp7C1vbO7V9wvHRweHZ+UT8/aJsk04y2WyER3AzBcCsVbKFDybqo5xIHknWB8v/A7E6NSFQTpyn3YxgqEQkGaCW/qUEoY0BIRBueJW3SXoJvFyUiE5GoPyVz9MWBZzhUyCMT3PTdGfgUbBJ+X+pnhKbAxDHnPUgUxN/5sefScXlklpFGibSmkS/X3xAxiY6ZxYDtjwJFZ9xbif14vw+jWnwmVZsgVWy2KMkxoYsEaCg0ZyinlgDTwt5K2Qg0MLQ5lWwI3vrLm6Rdq3pu1XusVep3eRxFckEuyTXxyA2pkwfSIC3CyBN5Jq/kzZk4L86787FqLTj5zDn5A+fzB45lkfA=</latexit><latexit sha1_base64="4gXZsPFg4PMoPOoO47pTNWzkob0=">AB9HicbVA9SwNBEN2LXzF+RS1tFoNgFe7SaBm0sYyQL0iOMLe3lyzZ2zt35wIh5HfYWChi64+x89+4Sa7QxAcDj/dmJkXpFIYdN1vp7C1vbO7V9wvHRweHZ+UT8/aJsk04y2WyER3AzBcCsVbKFDybqo5xIHknWB8v/A7E6NSFQTpyn3YxgqEQkGaCW/qUEoY0BIRBueJW3SXoJvFyUiE5GoPyVz9MWBZzhUyCMT3PTdGfgUbBJ+X+pnhKbAxDHnPUgUxN/5sefScXlklpFGibSmkS/X3xAxiY6ZxYDtjwJFZ9xbif14vw+jWnwmVZsgVWy2KMkxoYsEaCg0ZyinlgDTwt5K2Qg0MLQ5lWwI3vrLm6Rdq3pu1XusVep3eRxFckEuyTXxyA2pkwfSIC3CyBN5Jq/kzZk4L86787FqLTj5zDn5A+fzB45lkfA=</latexit>Test data
<latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit><latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit><latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit><latexit sha1_base64="CL13TSGHTX83KUz8wOKXVyvItw=">ACVXicfZDbSgMxEIaz6nWs156EyCiJRdL9RLUS+8EStYD7RFZtNpDSbZJZkVy9Kn8FafS3wYwbRW8IQDgY9/jAzf5Ip6SiKXoNwbHxicqo0XZ6ZnZtfWFxavnBpbgXWRapSe5WAQyUN1kmSwqvMIuhE4WVydzjoX96jdTI159TLsKWha2RHCiAvXZ+jI94GgpvFSlSNhsV/QzyChtV7WYp2Gm2U5FrNCQUONeIo4xaBViSQmG/3MwdZiDuoIsNjwY0ulYx3LjP173S5p3U+meID9WvPwrQzvV04p0a6Nb97A3Ev3qNnDp7rUKaLCc04mNQJ1ecUj4n7elRUGq5wGElX5XLm7BgiAfUvnbmCTRfa8coT/P4okfdZqhBUrtZtE29Xw0PfndptbA/rPKM2n0ZNPOv6Z62+42K7GUTU+267sH4wyL7FVtsY2WMx2T47ZjVWZ4Jp9sie2HPwEryF4+HkhzUMRn9W2LcKF94Blr61EA=</latexit>[Sadeghi & Levine 2016]
59
Source: Isola, Torralba, Freeman
60
Source: Isola, Torralba, Freeman
What if we go way outside of the training distribution?
61
Source: Isola, Torralba, Freeman
Training data
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i=1
<latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">AChXicfZDfShtBFMYnqzY2tTXay94sBsEWG3aLxN6UinrhjVTBqJCNy9nJSRycmV1mzpaEYR+lT9NbfYC+TScxBf/RAwM/vMdzpwvK6SwFEV/asHC4tKr+vLrxpuVt+9Wm2vr5zYvDcuz2VuLjOwKIXGLgmSeFkYBJVJvMhuDqb9i59orMj1GU0K7CsYaTEUHMhLaXM3ceNUXLmthHBMRI7QUvWx2p68pCZV6sS3uLo6TputqB3NKnwO8RxabF4n6VqtkwxyXirUxCVY24ujgvoODAkusWokpcUC+A2MsOdRg0Lbd7MLq3DTK4NwmBv/NIUz9eGEA2XtRGXeqYCu7dPeVHyp1ytp+LXvhC5KQs3vFw1LGVIeTuMKB8IgJznxANwI/9eQX4MBTj7UxqM1WaYqrxyiP8/gsV/1o0ADlJtPLgEzUjCu/LmjZHtK/zMK/c/oyScdP831OZx/acdROz7dae3tzNfZh/YBtiMdtle+yInbAu4+wX+81u2V1QDz4HO0Hn3hrU5jPv2aMKv8FjNzHvQ=</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit><latexit sha1_base64="Rt0+V5KCj2Y78VBcGBkmasR8BQ=">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</latexit>Our training data did not cover the part of the distribution that was tested (biased data)
generalization error
62
Source: Isola, Torralba, Freeman
“Deep Neural Networks are Easily Fooled: High Confidence Predictions for Unrecognizable Images”
[Nguyen, Yosinski, and Clune, CVPR 2015]
63
Source: Isola, Torralba, Freeman
“Deep Neural Networks are Easily Fooled: High Confidence Predictions for Unrecognizable Images”
[Nguyen, Yosinski, and Clune, CVPR 2015]
64
Source: Isola, Torralba, Freeman
Data space Training data
Weirdness of high-dimensional space:
Usually, there are blind spots where the model has not fit the distribution well, and behaves unpredictably
65
Source: Isola, Torralba, Freeman
f
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[“Intriguing properties of neural networks”, Szegedy et al. 2014]
x
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y
<latexit sha1_base64="5NwURhlTSBMby31l7GHRGjtN8Hk=">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</latexit><latexit sha1_base64="5NwURhlTSBMby31l7GHRGjtN8Hk=">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</latexit><latexit sha1_base64="5NwURhlTSBMby31l7GHRGjtN8Hk=">ACbXicfVFda9RAFJ2NVdv41So+WS4iCKyJFLQx6I+CK24G4LO6HczN5kh85HmLmpLiG/wFf9cf0V/QudbLdQW/HAwJlz525H0WtpKc0PR1Et9Zu37m7vhHfu/g4aPNrcTbxsncCysu6wAI9KGhyTJIWHtUPQhcKD4vhTHz84QelNd9pUWOuoTKylAIoSPuLo81hOkqXSG6SbEWGbIW9o63BhM+saDQaEgq8n2ZpTXkLjqRQ2MW8ViDOIYKp4Ea0Ojzdlpl7wMyiwprQvHULJUr2a0oL1f6CI4NdDcX4/14r9i04bKD3krTd0QGnHxUdmohGzSt53MpENBahEICdDrYmYgwNBYThxzD9jaMbh1/DwtxodkHVvWg6u0vCzC81V/G3P/meU5tIYWMwN/hBWazCzlhvrdDfN8pYrLImrCToaZtzJak7c9bcuDpvIrs/9Jpm8G2XpKNvfGe5+XO1knT1jL9hrlrH3bJd9YXtszARD9ov9Zn8GZ9HTaDt6fmGNBqucJ+wvRK/OAWA3vic=</latexit><latexit sha1_base64="5NwURhlTSBMby31l7GHRGjtN8Hk=">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</latexit>arg max
r
p(y = ostrich|x + r) subject to krk < ✏
<latexit sha1_base64="0knmbpcHcjWtoLbiIrOwjzF0O1U=">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</latexit><latexit sha1_base64="0knmbpcHcjWtoLbiIrOwjzF0O1U=">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</latexit><latexit sha1_base64="0knmbpcHcjWtoLbiIrOwjzF0O1U=">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</latexit><latexit sha1_base64="0knmbpcHcjWtoLbiIrOwjzF0O1U=">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</latexit>66
Source: Isola, Torralba, Freeman
“NO Need to Worry about Adversarial Examples in Object Detection in Autonomous Vehicles”, Lu et al. 2017 (Early) 2017’s attacks fail on physical
attack a single view!
67
Source: Isola, Torralba, Freeman
3D-printed turtle model classified as rifle from most viewpoints “Synthesizing Robust Adversarial Examples”, Athalye, Engstrom, Ilyas, Kwok, 2017 Later in 2017…
68
Source: Isola, Torralba, Freeman
69
Source: Isola, Torralba, Freeman
Source: https://www.nytimes.com/2020/02/25/business/tesla-autopilot-ntsb.html, https://qz.com/1402843/watch-teslas-autopilot-see-the-streets-of-paris/
70
poorly to real-world data
71
72
Project office hours until 2pm