Neurosymbolic AI
Key idea: To overcome neural networks' limitations we need to explicitly combine them with elements of symbolic AI.
Representative paper: DeepProbLog: Neural probabilistic logic programming
Predictive coding
Key idea: The brain learns by making predictions and letting each level model the previous one's errors.
Representative paper: Predictive coding in the visual cortex: A functional interpretation of some extra-classical receptive-field effects
Joint-embedding predictive architectures
Key idea: Predictions are best made from a latent representation of the input to a latent representation of the output.
Representative paper: Self-supervised learning from images with a joint-embedding predictive architecture
Recurrent and hierarchical reasoning models
Key idea: Deep reasoning does not require deep models or chain-of-thought, only well-controlled recurrence.
Representative paper: Less is more: Recursive reasoning with tiny networks
Vector symbolic architectures
Key idea: Binding, superposition and permutation of high-dimensional vectors suffice for massively parallel implementation of AI systems.
Representative paper: Vector symbolic architectures as a computing framework for emerging hardware
State space models
Key idea: Sequence models can run in linear time by maintaining a fixed-size latent state.
Representative paper: Mamba: Linear-time sequence modeling with selective state spaces
Diffusion models
Key idea: To generate realistic data, gradually add noise to training data and learn to remove it, then reverse the process.
Representative paper: Denoising diffusion probabilistic models
Tensor product representations
Key idea: Symbolic structures can be represented in neural networks by superpositions of tensor products of their elements.
Representative paper: The emergent symbolic structure of artificial neural networks
Fast weights
Key idea: Input-dependent weights have much higher storage capacity than neural activations but much faster dynamics than standard weights.
Representative paper: Linear transformers are secretly fast weight programmers
Tensor logic
Key idea: Neural and symbolic AI can be unified by viewing logical rules as Einstein summations over Boolean tensors.
Representative paper: Tensor logic: The language of AI.
| Date | Topic | Presenter(s) | Paper(s) | Slides |
|---|---|---|---|---|
| October 2 | Overview of new paradigms in AI | Pedro Domingos | ||
| October 9 | Predictive coding | Raj Rao | ||
| October 16 | Tensor logic | Pedro Domingos | Domingos (2025) | Slides |
| October 23 | ||||
| October 30 | ||||
| November 6 | ||||
| November 13 | ||||
| November 20 | ||||
| December 4 | ||||
| December 11 |