Now Chris Williams is presenting a principled probabilistic way to train #capsule networks (originally by @geoffreyhinton
) as generative models.

A variational approach to train generative part-based generative models.

#ANC #Seminar #ML #AI #probabilistic #generative #modeling

@nolovedeeplearning Cool! I thought the research on capsule networks had died out since apparently they are expensive to train and don't provide enough benefits compared to CNNs.

@mathieualain not true, the biggest benefit is having a clear part based decomposition.

The more structure, the less examples you need

@nolovedeeplearning Interesting! I need to learn more about them then šŸ˜…
@mathieualain @nolovedeeplearning we need models that ā€œcompartmentalizeā€ the knowledge locally, while keeping it distributed for robustness reasons. It’s a tough problem but little is known how and whether this happens in existing networks.

@emtiyaz @mathieualain

Totally agree!

Looking forward to hear from you @emtiyaz on this recent paper where you can have a #differentiable #layer that encodes #logical #constraints and provably #guarantees that the predictions of a #neural net satisfy the constraint!

By making everything modular and compartimentalized (plug&play) you can easily integrate #symbolic and #neural #reasoning

https://openreview.net/forum?id=o-mxIWAY1T8

Semantic Probabilistic Layers for Neuro-Symbolic Learning

We design a predictive layer for structured-output prediction (SOP) that can be plugged into any neural network guaranteeing its predictions are consistent with a set of predefined symbolic...

OpenReview

@nolovedeeplearning @mathieualain thanks sharing. It’s a beautifully written paper. Congratulations!

I wish I could understand sec 3 better. Specifically how PC enable tractable inference, compared to eg decomposable PGMs (used to work on that earlier). I hope someday I get time to do it. Is there a tutorial somewhere from people like me who know PGMs well?

@emtiyaz @nolovedeeplearning @mathieualain Antonio and others gave a great tutorial on PCs at various venues. There is a recording of one of them on YouTube. PCs are very accessible for people with PGM background.

https://youtu.be/2RAG5-L9R70

Probabilistic Circuits: Representations, Inference, Learning and Theory (Tutorial at ECML-PKDD 2020)

YouTube
@emtiyaz @nolovedeeplearning @mathieualain I didn’t see that @guy is on Mastodon, otherwise I would have tagged you.