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@@ -28,7 +28,7 @@ NULA is trained to reduce this dependence and instead form representations that
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  Downsampling operations are linear maps from a high-dimensional space to a lower-dimensional one.
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- By the Rank-Nullity theorem, this matrix has a massive NULL space ;).
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  An attacker can exploit this: they utilize the discarded samples of these downsampling operations as extra degrees of freedom.
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@@ -40,8 +40,8 @@ The result is an image perceptually identical to the original, with a manipulate
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  [BlurPool: what it does mechanically and why it addresses the problem]
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  [SE blocks: what they add]
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- The augmentation functions used during adversarial training are in [`augmentations.py`](augmentations.py).
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- The training script is [`train_robust.py`](train_robust.py).
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  ### FIRST EVALUATION (Base)
 
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  Downsampling operations are linear maps from a high-dimensional space to a lower-dimensional one.
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+ By the Rank-Nullity theorem, this matrix has a massive NULL space.
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  An attacker can exploit this: they utilize the discarded samples of these downsampling operations as extra degrees of freedom.
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  [BlurPool: what it does mechanically and why it addresses the problem]
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  [SE blocks: what they add]
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+ - For augmentation functions, see [`augmentations.py`](augmentations.py).
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+ - For the adversarial training loop, see [`train_robust.py`](train_robust.py).
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  ### FIRST EVALUATION (Base)