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Word embeddings under the hood - Applied Machine Learning Conference
Slides from the talk "Word embeddings under the hood: How neural networks learn from language" as presented on April 12, 2018 during the Applied Machine Learning Conference at the Tom Tom Founders Festival in Charlottesville, Virginia.
https://tomtomfest.com/machine-learning/
Patrick Harrison
April 12, 2018
Transcript
132 slides
-
We started with the scallop dish as an appetizer, followed
by the spaghetti with tomato sauce and duck and foie gras ravioli. How do we represent data like this? -
1 2 3 … V we 1 0 0 …
0 started 0 1 0 … 0 with 0 0 1 … 0 … … … … … … ravioli 0 0 0 … 1 One-Hot Encoding -
…but one-hot encoding leaves a lot to be desired. Are
better word representations possible? -
y -2 -1 0 1 2 x -2 -1 0
1 2 beer wine cocktail spoon fork knife spaghetti pasta lasagna -
y -2 -1 0 1 2 x -2 -1 0
1 2 beer wine cocktail spoon fork knife spaghetti pasta lasagna x y spaghetti 1.0 1.5 pasta 1.2 1.3 … … … fork 0.0 -0.7 spoon -0.5 -1.5 -
“You shall know a word by the company it keeps.”
— J.R. Firth, 1957 Postulate #1 -
“Neural networks learn useful, new data representations.” — Rumelhart, Hinton
& Williams, 1986 (paraphrased) Postulate #2 -
spaghetti followed 1 spaghetti by 1 … … … spaghetti
sauce 1 spaghetti we 0 spaghetti parking 0 … … … spaghetti sushi 0 -
with by 1 with the 1 … … … with
and 1 with appetizer 0 with loud 0 … … … with up 0 -
“Sigmoid” Activation Function Weighted Input Activation Value (z) = 1
1 + e z <latexit sha1_base64="p67myG3hCMkCTKXgKC8P9kriayg=">AAACBnicdVDLSsNAFJ3UV62vqEtBBotQEUMionYhFNy4rGBsoYllMp3UoTNJmJkIbcjOjb/ixoWKW7/BnX/j9CH4PHDhcM693HtPkDAqlW2/G4Wp6ZnZueJ8aWFxaXnFXF27lHEqMHFxzGLRDJAkjEbEVVQx0kwEQTxgpBH0Tod+44YISePoQvUT4nPUjWhIMVJaapubnqRdjiqDHXgCvVAgnDl55uySq2xvkOdts2xbVdupHjrwN3Ese4QymKDeNt+8ToxTTiKFGZKy5diJ8jMkFMWM5CUvlSRBuIe6pKVphDiRfjb6I4fbWunAMBa6IgVH6teJDHEp+zzQnRypa/nTG4p/ea1Uhcd+RqMkVSTC40VhyqCK4TAU2KGCYMX6miAsqL4V4mukw1A6upIO4fNT+D9x962qZZ8flGv1SRpFsAG2QAU44AjUwBmoAxdgcAvuwSN4Mu6MB+PZeBm3FozJzDr4BuP1A0VMmJI=</latexit> <latexit sha1_base64="p67myG3hCMkCTKXgKC8P9kriayg=">AAACBnicdVDLSsNAFJ3UV62vqEtBBotQEUMionYhFNy4rGBsoYllMp3UoTNJmJkIbcjOjb/ixoWKW7/BnX/j9CH4PHDhcM693HtPkDAqlW2/G4Wp6ZnZueJ8aWFxaXnFXF27lHEqMHFxzGLRDJAkjEbEVVQx0kwEQTxgpBH0Tod+44YISePoQvUT4nPUjWhIMVJaapubnqRdjiqDHXgCvVAgnDl55uySq2xvkOdts2xbVdupHjrwN3Ese4QymKDeNt+8ToxTTiKFGZKy5diJ8jMkFMWM5CUvlSRBuIe6pKVphDiRfjb6I4fbWunAMBa6IgVH6teJDHEp+zzQnRypa/nTG4p/ea1Uhcd+RqMkVSTC40VhyqCK4TAU2KGCYMX6miAsqL4V4mukw1A6upIO4fNT+D9x962qZZ8flGv1SRpFsAG2QAU44AjUwBmoAxdgcAvuwSN4Mu6MB+PZeBm3FozJzDr4BuP1A0VMmJI=</latexit> <latexit sha1_base64="p67myG3hCMkCTKXgKC8P9kriayg=">AAACBnicdVDLSsNAFJ3UV62vqEtBBotQEUMionYhFNy4rGBsoYllMp3UoTNJmJkIbcjOjb/ixoWKW7/BnX/j9CH4PHDhcM693HtPkDAqlW2/G4Wp6ZnZueJ8aWFxaXnFXF27lHEqMHFxzGLRDJAkjEbEVVQx0kwEQTxgpBH0Tod+44YISePoQvUT4nPUjWhIMVJaapubnqRdjiqDHXgCvVAgnDl55uySq2xvkOdts2xbVdupHjrwN3Ese4QymKDeNt+8ToxTTiKFGZKy5diJ8jMkFMWM5CUvlSRBuIe6pKVphDiRfjb6I4fbWunAMBa6IgVH6teJDHEp+zzQnRypa/nTG4p/ea1Uhcd+RqMkVSTC40VhyqCK4TAU2KGCYMX6miAsqL4V4mukw1A6upIO4fNT+D9x962qZZ8flGv1SRpFsAG2QAU44AjUwBmoAxdgcAvuwSN4Mu6MB+PZeBm3FozJzDr4BuP1A0VMmJI=</latexit> -
“Sigmoid” Activation Function Weighted Input Activation Value 0.88 (z) =
1 1 + e z <latexit sha1_base64="p67myG3hCMkCTKXgKC8P9kriayg=">AAACBnicdVDLSsNAFJ3UV62vqEtBBotQEUMionYhFNy4rGBsoYllMp3UoTNJmJkIbcjOjb/ixoWKW7/BnX/j9CH4PHDhcM693HtPkDAqlW2/G4Wp6ZnZueJ8aWFxaXnFXF27lHEqMHFxzGLRDJAkjEbEVVQx0kwEQTxgpBH0Tod+44YISePoQvUT4nPUjWhIMVJaapubnqRdjiqDHXgCvVAgnDl55uySq2xvkOdts2xbVdupHjrwN3Ese4QymKDeNt+8ToxTTiKFGZKy5diJ8jMkFMWM5CUvlSRBuIe6pKVphDiRfjb6I4fbWunAMBa6IgVH6teJDHEp+zzQnRypa/nTG4p/ea1Uhcd+RqMkVSTC40VhyqCK4TAU2KGCYMX6miAsqL4V4mukw1A6upIO4fNT+D9x962qZZ8flGv1SRpFsAG2QAU44AjUwBmoAxdgcAvuwSN4Mu6MB+PZeBm3FozJzDr4BuP1A0VMmJI=</latexit> <latexit sha1_base64="p67myG3hCMkCTKXgKC8P9kriayg=">AAACBnicdVDLSsNAFJ3UV62vqEtBBotQEUMionYhFNy4rGBsoYllMp3UoTNJmJkIbcjOjb/ixoWKW7/BnX/j9CH4PHDhcM693HtPkDAqlW2/G4Wp6ZnZueJ8aWFxaXnFXF27lHEqMHFxzGLRDJAkjEbEVVQx0kwEQTxgpBH0Tod+44YISePoQvUT4nPUjWhIMVJaapubnqRdjiqDHXgCvVAgnDl55uySq2xvkOdts2xbVdupHjrwN3Ese4QymKDeNt+8ToxTTiKFGZKy5diJ8jMkFMWM5CUvlSRBuIe6pKVphDiRfjb6I4fbWunAMBa6IgVH6teJDHEp+zzQnRypa/nTG4p/ea1Uhcd+RqMkVSTC40VhyqCK4TAU2KGCYMX6miAsqL4V4mukw1A6upIO4fNT+D9x962qZZ8flGv1SRpFsAG2QAU44AjUwBmoAxdgcAvuwSN4Mu6MB+PZeBm3FozJzDr4BuP1A0VMmJI=</latexit> <latexit sha1_base64="p67myG3hCMkCTKXgKC8P9kriayg=">AAACBnicdVDLSsNAFJ3UV62vqEtBBotQEUMionYhFNy4rGBsoYllMp3UoTNJmJkIbcjOjb/ixoWKW7/BnX/j9CH4PHDhcM693HtPkDAqlW2/G4Wp6ZnZueJ8aWFxaXnFXF27lHEqMHFxzGLRDJAkjEbEVVQx0kwEQTxgpBH0Tod+44YISePoQvUT4nPUjWhIMVJaapubnqRdjiqDHXgCvVAgnDl55uySq2xvkOdts2xbVdupHjrwN3Ese4QymKDeNt+8ToxTTiKFGZKy5diJ8jMkFMWM5CUvlSRBuIe6pKVphDiRfjb6I4fbWunAMBa6IgVH6teJDHEp+zzQnRypa/nTG4p/ea1Uhcd+RqMkVSTC40VhyqCK4TAU2KGCYMX6miAsqL4V4mukw1A6upIO4fNT+D9x962qZZ8flGv1SRpFsAG2QAU44AjUwBmoAxdgcAvuwSN4Mu6MB+PZeBm3FozJzDr4BuP1A0VMmJI=</latexit> -
Training our network on the first context clue (there will
be lots of these) -
1. Make a prediction 2. Measure how wrong we are
3. Tune the model to become slightly less wrong -
1. Make a prediction 2. Measure how wrong we are
3. Tune the model to become slightly less wrong 4. Repeat with the next context clue -
1. Make a prediction 2. Measure how wrong we are
3. Tune the model to become slightly less wrong 4. Repeat with the next context clue -
1. Make a prediction 2. Measure how wrong we are
3. Tune the model to become slightly less wrong 4. Repeat with the next context clue -
“Loss” Function Model Prediction Penalty L(ˆ y) = ln(ˆ y)
<latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> right answer: 1 -
“Loss” Function Model Prediction Penalty right answer: 0 L(ˆ y)
= ln (1 ˆ y) <latexit sha1_base64="Iltg1Ek3NfsdWz6wTqNhnEEl0fo=">AAACBnicdVDLSsNAFJ34rPEVdSnIYBHqoiERUbsQim5cuKhgbaENZTKdtEMnkzAzEULIzo2/4saFilu/wZ1/4/QFPg9cOJxzL/fe48eMSuU4H8bM7Nz8wmJhyVxeWV1btzY2b2SUCEzqOGKRaPpIEkY5qSuqGGnGgqDQZ6ThD86HfuOWCEkjfq3SmHgh6nEaUIyUljrWzmWp3UcqS/N989QstxnPSm55KuUdq+jYFcetHLnwN3FtZ4QimKDWsd7b3QgnIeEKMyRly3Vi5WVIKIoZyc12IkmM8AD1SEtTjkIivWz0Rw73tNKFQSR0cQVH6teJDIVSpqGvO0Ok+vKnNxT/8lqJCk68jPI4UYTj8aIgYVBFcBgK7FJBsGKpJggLqm+FuI8EwkpHZ+oQpp/C/0n9wK7YztVhsXo2SaMAtsEuKAEXHIMquAA1UAcY3IEH8ASejXvj0XgxXsetM8ZkZgt8g/H2CXbFmAQ=</latexit> <latexit sha1_base64="Iltg1Ek3NfsdWz6wTqNhnEEl0fo=">AAACBnicdVDLSsNAFJ34rPEVdSnIYBHqoiERUbsQim5cuKhgbaENZTKdtEMnkzAzEULIzo2/4saFilu/wZ1/4/QFPg9cOJxzL/fe48eMSuU4H8bM7Nz8wmJhyVxeWV1btzY2b2SUCEzqOGKRaPpIEkY5qSuqGGnGgqDQZ6ThD86HfuOWCEkjfq3SmHgh6nEaUIyUljrWzmWp3UcqS/N989QstxnPSm55KuUdq+jYFcetHLnwN3FtZ4QimKDWsd7b3QgnIeEKMyRly3Vi5WVIKIoZyc12IkmM8AD1SEtTjkIivWz0Rw73tNKFQSR0cQVH6teJDIVSpqGvO0Ok+vKnNxT/8lqJCk68jPI4UYTj8aIgYVBFcBgK7FJBsGKpJggLqm+FuI8EwkpHZ+oQpp/C/0n9wK7YztVhsXo2SaMAtsEuKAEXHIMquAA1UAcY3IEH8ASejXvj0XgxXsetM8ZkZgt8g/H2CXbFmAQ=</latexit> <latexit sha1_base64="Iltg1Ek3NfsdWz6wTqNhnEEl0fo=">AAACBnicdVDLSsNAFJ34rPEVdSnIYBHqoiERUbsQim5cuKhgbaENZTKdtEMnkzAzEULIzo2/4saFilu/wZ1/4/QFPg9cOJxzL/fe48eMSuU4H8bM7Nz8wmJhyVxeWV1btzY2b2SUCEzqOGKRaPpIEkY5qSuqGGnGgqDQZ6ThD86HfuOWCEkjfq3SmHgh6nEaUIyUljrWzmWp3UcqS/N989QstxnPSm55KuUdq+jYFcetHLnwN3FtZ4QimKDWsd7b3QgnIeEKMyRly3Vi5WVIKIoZyc12IkmM8AD1SEtTjkIivWz0Rw73tNKFQSR0cQVH6teJDIVSpqGvO0Ok+vKnNxT/8lqJCk68jPI4UYTj8aIgYVBFcBgK7FJBsGKpJggLqm+FuI8EwkpHZ+oQpp/C/0n9wK7YztVhsXo2SaMAtsEuKAEXHIMquAA1UAcY3IEH8ASejXvj0XgxXsetM8ZkZgt8g/H2CXbFmAQ=</latexit> -
“Loss” Function Model Prediction Penalty L(ˆ y) = ln(ˆ y)
<latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> right answer: 1 -
“Loss” Function Model Prediction Penalty 0.51 0.67 L(ˆ y) =
ln(ˆ y) <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> right answer: 1 -
1. Make a prediction 2. Measure how wrong we are
3. Tune the model to become slightly less wrong 4. Repeat with the next context clue -
“Loss” Function Model Prediction Penalty 0.51 0.67 L(ˆ y) =
ln(ˆ y) <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> right answer: 1 -
“Loss” Function Model Prediction Penalty 0.51 0.67 L(ˆ y) ˆ
y = 1 ˆ y <latexit sha1_base64="ZDKHOKtBhi+AUW8uVfyzc5lgHDI=">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</latexit> <latexit sha1_base64="ZDKHOKtBhi+AUW8uVfyzc5lgHDI=">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</latexit> <latexit sha1_base64="ZDKHOKtBhi+AUW8uVfyzc5lgHDI=">AAACKnicdZDLSsNAFIYnXmu8RV26GSyCLgxJVdouBNGNCxcVrApNKZPJxA6dXJg5EUrI+7jxVVzoQsWtD+K0RlHRAwM/338OZ87vp4IrcJwXY2JyanpmtjJnzi8sLi1bK6sXKskkZW2aiERe+UQxwWPWBg6CXaWSkcgX7NIfHI/8yxsmFU/icximrBuR65iHnBLQqGcdeaEk1My9gAkg+HTL6xPIh8V28cVKUpgH5o5Ztrsju+Q9q+rY9Wat0XSwYzvj0sKt7Tfqu9gtSRWV1epZD16Q0CxiMVBBlOq4TgrdnEjgVLDC9DLFUkIH5Jp1tIxJxFQ3H99a4E1NAhwmUr8Y8Jh+n8hJpNQw8nVnRKCvfnsj+JfXySBsdHMepxmwmH4sCjOBIcGj4HDAJaMghloQKrn+K6Z9otMAHa+pQ/i8FP8v2jW7aTtne9XDVplGBa2jDbSFXFRHh+gEtVAbUXSL7tETejbujEfjxXj9aJ0wypk19KOMt3dcg6bV</latexit> L(ˆ y) = ln(ˆ y) <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> <latexit sha1_base64="h5s5pjYPsLV+hHg1TrPssOb1TR0=">AAACAHicdVDLSgMxFM3UV62vUTeCm2AR6sIyI6J2IRTcuHBRwbFCO5RMmmlDM5khuSOUoW78FTcuVNz6Ge78G9OH4vPAhZNz7iX3niARXIPjvFm5qemZ2bn8fGFhcWl5xV5du9RxqijzaCxidRUQzQSXzAMOgl0lipEoEKwe9E6Gfv2aKc1jeQH9hPkR6UgeckrASC1746zU7BLI+oOd492mkJ+vll10yhXHrRy4+Ddxy84IRTRBrWW/NtsxTSMmgQqidcN1EvAzooBTwQaFZqpZQmiPdFjDUEkipv1sdMEAbxuljcNYmZKAR+rXiYxEWvejwHRGBLr6pzcU//IaKYRHfsZlkgKTdPxRmAoMMR7GgdtcMQqibwihiptdMe0SRSiY0AomhI9L8f/E2ytXys75frFam6SRR5toC5WQiw5RFZ2iGvIQRTfoDj2gR+vWureerOdxa86azKyjb7Be3gFNVZZs</latexit> right answer: 1 -
weights ! prediction ! penalty <latexit sha1_base64="eVL4WEZtvPgtjqEq07EOc/9Js/E=">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</latexit> <latexit sha1_base64="eVL4WEZtvPgtjqEq07EOc/9Js/E=">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</latexit> <latexit
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weights ! prediction ! penalty <latexit sha1_base64="eVL4WEZtvPgtjqEq07EOc/9Js/E=">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</latexit> <latexit sha1_base64="eVL4WEZtvPgtjqEq07EOc/9Js/E=">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</latexit> <latexit
sha1_base64="eVL4WEZtvPgtjqEq07EOc/9Js/E=">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</latexit> <latexit sha1_base64="eVL4WEZtvPgtjqEq07EOc/9Js/E=">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</latexit> better weights ! better prediction ! lower penalty <latexit sha1_base64="Z9+o83RNTjN+dEwr7JyKvsxrHrM=">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</latexit> <latexit sha1_base64="Z9+o83RNTjN+dEwr7JyKvsxrHrM=">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</latexit> <latexit sha1_base64="Z9+o83RNTjN+dEwr7JyKvsxrHrM=">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</latexit> <latexit sha1_base64="Z9+o83RNTjN+dEwr7JyKvsxrHrM=">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</latexit> -
1. How do we know which direction to nudge each
weight? 2. How can we calculate this automatically for all the weights? -
1. Make a prediction 2. Measure how wrong we are
3. Tune the model to become slightly less wrong 4. Repeat with the next context clue -
Context clues trained: 1 topics discerning masked sweets carmelized shelly
cue prepare “amazing” as focus word: 0 cheerful succulent adjusting pop antenna suggesting vinegary brothers “server” as focus word: 0 ignorant sop refrigerators bags recliner introduce covered petco “spaghetti” as focus word: 1 -
Context clues trained: 2,000,000 awesome delicious super here ) $
customer excellent “amazing” as focus word: 1,854 thru along crab tacos / windows chef 1 “server” as focus word: 780 dollar rings loves = opened wrapped form provided “spaghetti” as focus word: 84 -
Context clues trained: 100,000,000 incredible awesome outstanding excellent phenomenal fabulous
superb fantastic “amazing” as focus word: 87,864 waiter waitress bartender hostess guide technician cashier barista “server” as focus word: 48,492 risotto veal katsu goat turkey enchilada raspberry meatloaf “spaghetti” as focus word: 3,600 -
bun american + mexican ⇡ tortilla <latexit sha1_base64="nx3V5F3dTPHOtTf0fAS/HCGGUlI=">AAACLXicdZBLSwMxEMez9V1fVY9egkUQxLIrovZWEMGTKFgV2lKy6bQNzSZLMistpZ/Ii19FD4IPvPo1TNsVfA4E/vnNTCbzD2MpLPr+k5eZmJyanpmdy84vLC4t51ZWL61ODIcy11Kb65BZkEJBGQVKuI4NsCiUcBV2job5qxswVmh1gb0YahFrKdEUnKFD9dxxFaGL/TBRg+xOdnxhERhX4Mh2SiLojkGVxbHR3RSjNiikZIN6Lu8Xin5Q3A/obxEU/FHkSRpn9dxDtaF5EoFCLpm1lcCPsdZn7j0uwc1JLMSMd1gLKk4q9yVb64/WHdBNRxq0qY07CumIfu1wC1jbi0JXGTFs25+5IfwrV0mweVjrCxUnCIqPBzUTSVHToXe0IQxwlD0nGDfC/ZXyNjOMo3M460z43JT+L8q7hWIhON/Ll05TN2bJOtkgWyQgB6RETsgZKRNObsk9eSYv3p336L16b+PSjJf2rJFv4b1/AGJDqk4=</latexit> <latexit sha1_base64="nx3V5F3dTPHOtTf0fAS/HCGGUlI=">AAACLXicdZBLSwMxEMez9V1fVY9egkUQxLIrovZWEMGTKFgV2lKy6bQNzSZLMistpZ/Ii19FD4IPvPo1TNsVfA4E/vnNTCbzD2MpLPr+k5eZmJyanpmdy84vLC4t51ZWL61ODIcy11Kb65BZkEJBGQVKuI4NsCiUcBV2job5qxswVmh1gb0YahFrKdEUnKFD9dxxFaGL/TBRg+xOdnxhERhX4Mh2SiLojkGVxbHR3RSjNiikZIN6Lu8Xin5Q3A/obxEU/FHkSRpn9dxDtaF5EoFCLpm1lcCPsdZn7j0uwc1JLMSMd1gLKk4q9yVb64/WHdBNRxq0qY07CumIfu1wC1jbi0JXGTFs25+5IfwrV0mweVjrCxUnCIqPBzUTSVHToXe0IQxwlD0nGDfC/ZXyNjOMo3M460z43JT+L8q7hWIhON/Ll05TN2bJOtkgWyQgB6RETsgZKRNObsk9eSYv3p336L16b+PSjJf2rJFv4b1/AGJDqk4=</latexit>
<latexit sha1_base64="nx3V5F3dTPHOtTf0fAS/HCGGUlI=">AAACLXicdZBLSwMxEMez9V1fVY9egkUQxLIrovZWEMGTKFgV2lKy6bQNzSZLMistpZ/Ii19FD4IPvPo1TNsVfA4E/vnNTCbzD2MpLPr+k5eZmJyanpmdy84vLC4t51ZWL61ODIcy11Kb65BZkEJBGQVKuI4NsCiUcBV2job5qxswVmh1gb0YahFrKdEUnKFD9dxxFaGL/TBRg+xOdnxhERhX4Mh2SiLojkGVxbHR3RSjNiikZIN6Lu8Xin5Q3A/obxEU/FHkSRpn9dxDtaF5EoFCLpm1lcCPsdZn7j0uwc1JLMSMd1gLKk4q9yVb64/WHdBNRxq0qY07CumIfu1wC1jbi0JXGTFs25+5IfwrV0mweVjrCxUnCIqPBzUTSVHToXe0IQxwlD0nGDfC/ZXyNjOMo3M460z43JT+L8q7hWIhON/Ll05TN2bJOtkgWyQgB6RETsgZKRNObsk9eSYv3p336L16b+PSjJf2rJFv4b1/AGJDqk4=</latexit> <latexit sha1_base64="nx3V5F3dTPHOtTf0fAS/HCGGUlI=">AAACLXicdZBLSwMxEMez9V1fVY9egkUQxLIrovZWEMGTKFgV2lKy6bQNzSZLMistpZ/Ii19FD4IPvPo1TNsVfA4E/vnNTCbzD2MpLPr+k5eZmJyanpmdy84vLC4t51ZWL61ODIcy11Kb65BZkEJBGQVKuI4NsCiUcBV2job5qxswVmh1gb0YahFrKdEUnKFD9dxxFaGL/TBRg+xOdnxhERhX4Mh2SiLojkGVxbHR3RSjNiikZIN6Lu8Xin5Q3A/obxEU/FHkSRpn9dxDtaF5EoFCLpm1lcCPsdZn7j0uwc1JLMSMd1gLKk4q9yVb64/WHdBNRxq0qY07CumIfu1wC1jbi0JXGTFs25+5IfwrV0mweVjrCxUnCIqPBzUTSVHToXe0IQxwlD0nGDfC/ZXyNjOMo3M460z43JT+L8q7hWIhON/Ll05TN2bJOtkgWyQgB6RETsgZKRNObsk9eSYv3p336L16b+PSjJf2rJFv4b1/AGJDqk4=</latexit> -
No magical black box AI… Just context clues and some
arithmetic! Bonus: now you know the fundamentals of all neural network learning