Learning Similarity Metrics with Invariance Properties
author:
Yann LeCun,
New York University
Categories
Top: Computer Science: Machine LearningTop: Computer Science: Machine Learning: Structured Output
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| Slides | |
| 0:03 | Learning Similarity Metrics with Invariances |
| 0:21 | Learning an Invariant Dissimilarity Metric |
| 2:36 | Dissimilarity Metric for Face Recognition |
| 3:54 | Siamese Architecture |
| 4:50 | Dissimilarity Metric vs Traditional Classification |
| 5:10 | Trainable Metric vs Other Dimensionality Reduction Methods |
| 7:17 | Trainable Metrics vs handcrafted invariances |
| 7:49 | Siamese Architecture for Comparing TimeSeries Data |
| 8:41 | 1D Convolutional Net (TDNN) |
| 8:44 | Examples |
| 8:55 | Siamese Architecture |
| 9:09 | Probabilistic Training: Maximum Likelihood |
| 11:07 | Solution? |
| 12:23 | Another Loss Function |
| 15:31 | Loss Function |
| 16:58 | Examples of Loss Functions |
| 17:26 | Loss Function: SquareExponential |
| 17:37 | Face Verification datasets: AT&T, FERET, and AR/Purdue |
| 19:04 | Face Verification datasets: AT&T, FERET, and AR/Purdue |
| 19:25 | Face Verification datasets: AT&T, FERET, and AR/Purdue |
| 19:57 | Face Verification dataset: AR/Purdue |
| 20:04 | Preprocessing |
| 20:17 | Centering with a Gaussianblurred face template |
| 20:36 | Alternated Convolutions and Subsampling |
| 20:41 | Architecture for the Mapping Function Gw(X) |
| 21:02 | Internal state for genuine and impostor pairs |
| 22:25 | Gaussian Face Model in the output space |
| 23:05 | Dataset for Verification - Verification Results |
| 23:50 | Classification Examples |
| 25:07 | lInternal State |
| 25:29 | DrLim: Dimensionality; Reduction by Learning an Invariant Mapping |
| 32:10 | “Traditional” Manifold Learning |
| 33:17 | Learning a FUNCTION from input to output |
| 33:24 | Learning an INVARIANT FUNCTION from input to output |
| 34:32 | Learning Invariant Manifolds with EBMs |
| 35:29 | Step 1: Building a Neighborhood Graph |
| 36:12 | Step 2: Pick a Parameterized Family of Function |
| 36:17 | Step 3: Pick a Loss function and Minimize it w.r.t. W |
| 36:31 | Architecture |
| 36:35 | Architecture and loss function |
| 37:08 | Loss function |
| 37:34 | Mechanical Analogy |
| 37:54 | MNIST Dataset |
| 38:01 | MNIST Handwritten Digits. Sanity Check |
| 39:01 | Architecture of the Gw(X) Function: |
| 39:04 | Alternated Convolutions and Subsampling |
| 39:06 | Learning a mapping that is invariant to shifts |
| 39:27 | Simple Experiment with Shifted MNIST |
| 39:42 | Shifted MNIST: LLE Result |
| 41:19 | Shifted MNIST: Injecting Prior Knowledge |
| 42:35 | Discovering the Viewpoint Manifold |
| 44:14 | Generic Object Detection and Recognition with Invariance to Pose and Illumination |
| 44:17 | Data Collection, Sample Generation |
| 44:19 | NORB Dataset: LLE |
| 45:22 | Automatic Discovery of the Viewpoint Manifold with Invariant to Illumination |
| 46:56 | NORB Dataset: Learned Hidden Units |
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