Topics Course on Deep Learning for Spring 2016

by Joan Bruna, UC Berkeley, Statistics Department

##Syllabus

• Invariance, stability.
• Variability models (deformation model, stochastic model).
• Scattering
• Extensions
• Group Formalism
• Supervised Learning: classification.
• Properties of CNN representations: invertibility, stability, invariance.
• covariance/invariance: capsules and related models.
• Connections with other models: dictionary learning, LISTA, Random Forests.
• Other tasks: localization, regression.
• Embeddings (DrLim), inverse problems
• Extensions to non-euclidean domains.
• Dynamical systems: RNNs and optimal control.
• Guest Lecture: Wojciech Zaremba (OpenAI)

• Autoencoders (standard, denoising, contractive, etc.)
• Variational Autoencoders
• Adversarial Generative Networks
• Maximum Entropy Distributions
• Open Problems
• Guest Lecture: Ian Goodfellow (Google)

• Non-convex optimization theory for deep networks
• Stochastic Optimization
• Attention and Memory Models
• Guest Lecture: Yann Dauphin (Facebook AI Research)

• Lec1 Jan 19: Intro and Logistics

• Lec2 Jan 21: Representations for Recognition : stability, variability. Kernel approaches / Feature extraction. Properties.

  recommended reading:

  • Elements of Statistical Learning, chapt. 12, Hastie, Tibshirani, Friedman.
  • Understanding Deep Convolutional Networks, S. Mallat.

• Lec3 Jan 26: Groups, Invariants and Filters.

  recommended reading

  • Learning Stable Group Invariant Representations with Convolutional Networks
  • Understanding Deep Convolutional Networks, S. Mallat.
  • A Wavelet Tour of Signal Processing, chapt 2-5,7, S. Mallat.

• Lec4 Jan 28: Scattering Convolutional Networks.

  recommended reading

  • Invariant Scattering Convolutional Networks

  further reading

  • Group Invariant Scattering, S. Mallat
  • Scattering Representations for Recognition

• Lec5 Feb 2: Further Scattering: Properties and Extensions.

  recommended reading

  • Rotation, Scaling and Deformation Invariant Scattering for Texture Discrimination, Sifre & Mallat.

• Lec6 Feb 4: Convolutional Neural Networks: Geometry and first Properties.

  recommended reading

  • Deep Learning Y. LeCun, Bengio & Hinton.
  • Understanding Deep Convolutional Networks, S. Mallat.

• Lec7 Feb 9: Properties of learnt CNN representations: Covariance and Invariance, redundancy, invertibility

  recommended reading

  • Deep Neural Networks with Random Gaussian Weights: A universal Classification Strategy?, R. Giryes, G. Sapiro, A. Bronstein.
  • Intriguing Properties of Neural Networks C. Szegedy et al.
  • Geodesics of Learnt Representations O. Henaff & E. Simoncelli.
  • Inverting Visual Representations with Convolutional Networks, A. Dosovitskiy, T. Brox.
  • Visualizing and Understanding Convolutional Networks M. Zeiler, R. Fergus.

• Lec8 Feb 11: Connections with other models (DL, Lista, Random Forests, CART)

recommended reading

• Proximal Splitting Methods in Signal Processing Combettes & Pesquet.

• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems Beck & Teboulle

• Learning Fast Approximations of Sparse Coding K. Gregor & Y. LeCun

• Task Driven Dictionary Learning J. Mairal, F. Bach, J. Ponce

• Exploiting Generative Models in Discriminative Classifiers T. Jaakkola & D. Haussler

• Improving the Fisher Kernel for Large-Scale Image Classification F. Perronnin et al.

• NetVLAD R. Arandjelovic et al.

• Lec9 Feb 16: Other high level tasks: localization, regression, embedding, inverse problems. Extensions to non-Euclidean domain.

• Lec10 Feb 18: Representations of stationary processes. Properties.

• Lec11 Feb 23: Sequential Data: Recurrent Neural Networks.

• Lec12 Feb 25: Guest Lecture ( W. Zaremba, OpenAI )

• Lec13 Mar 1: Unsupervised Learning: autoencoders. Density estimation. Parzen estimators. Curse of dimensionality

• Lec14 Mar 3: Variational Autoencoders

• Lec15 Mar 8: Adversarial Generative Networks

• Lec16 Mar 10: Maximum Entropy Distributions

• Lec17 Mar 29: Self-supervised models (analogies, video prediction, text, word2vec).

• Lec18 Mar 31: Guest Lecture ( I. Goodfellow, Google Brain )

• Lec19 Apr 5: Non-convex Optimization: parameter redundancy, spin-glass, optimiality certificates. stability

• Lec20 Apr 7: Tensor Decompositions

• Lec21 Apr 12: Stochastic Optimization, Batch Normalization, Dropout

• Lec22 Apr 14: Reasoning, Attention and Memory: New trends of the field and challenges. limits of sequential representations (need for attention and memory). modern enhancements (NTM, Memnets, Stack/RNNs, etc.)

• Lec23 Apr 19: Guest Lecture (Y. Dauphin, Facebook AI Research)

• Lec24-25: Oral Presentations