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Spectral Filtering using Functional Calculus
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Classroom Contents
Reliable AI: From Applied Harmonic Analysis to Quantum Computing
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- 1 Intro
- 2 The Dawn of Artificial Intelligence in Public Life
- 3 Artificial Intelligence = Alchemy?
- 4 Problem with Reliability
- 5 Strong Requirements for Reliability
- 6 Main Research Directions
- 7 Some Facts about Graph Convolutional Neural Networks
- 8 A Special Form of Generalization Capability
- 9 Graph Laplacian: Oscillations on Graphs
- 10 Spectral Graph Convolution
- 11 Spectral Filtering using Functional Calculus
- 12 Graphs Modeling the Same Phenomenon
- 13 Comparing the Repercussion of a Filter on Two Graphs
- 14 DSP Framework akin to the Nyquist-Shannon Approach
- 15 What is Transferability precisely?
- 16 Transferability of Functional Calculus Filters
- 17 Transferability of Functional Calculus CNNs
- 18 Explainability
- 19 Rate-Distortion Viewpoint
- 20 Rate-Distortion Explanation
- 21 STL-10 Experiment
- 22 Desiderata
- 23 Cartoon X (Kolek, Nguyen, Levie, Bruna, K; ECCV 2022)
- 24 Telecommunication
- 25 Detecting Reason for Adversarial Examples
- 26 A Serious Problem
- 27 What now?... Mathematics Tells Us the Answer!
- 28 Conclusions
