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Discovering Symbolic Models from Deep Learning with Inductive Biases [1] trains graph neural nets on astrophysical phenomena and then performs symbolic regression to generate algebraic formulae to elegantly model the phenomena in a classical physics framework. It's largely gone under the radar but has pretty interesting implications for NLP and language theory in my opinion.

Direct Feedback Alignment Scales to Modern Deep Learning Tasks and Architectures [2] applies DFA, an approach to training neural nets without backprop, to modern architectures like the Transformer. It does surprisingly well and is a step in the right direction for biologically plausible neural nets as well as potentially significant efficiency gains.

Hopfield Networks is All You Need [3] analyzes the Transformer architecture as the classical Hopfield Network. This one got a lot of buzz on HN so I won't talk about it too much, but it's part of a slew of other analyses of the Transformer that basically show how generalizable the attention mechanism is. It also sorta confirms many researchers' inkling that Transformers are likely just memorizing patterns in their training corpus.

Edit: Adding a few interesting older NLP papers that I came across this year.

StructBERT: Incorporating Language Structures into Pre-training for Deep Language Understanding [4]

Do Syntax Trees Help Pre-trained Transformers Extract Information? [5]

Learning to Compose Neural Networks for Question Answering [6]

Parsing with Compositional Vector Grammars [7]

[1] https://arxiv.org/abs/2006.11287

[2] https://arxiv.org/abs/2006.12878

[3] https://arxiv.org/abs/2008.02217

[4] https://arxiv.org/abs/1908.04577

[5] https://arxiv.org/abs/2008.09084

[6] https://arxiv.org/abs/1601.01705

[7] https://www.aclweb.org/anthology/P13-1045/



I yeaaaarn for a future where we will have a general parallelizable training method for neural networks (or even better a principled way to initialize trained weights like the work being done on wavelet scattering). Long training times with backpropagation is a serious obstacle when doing experiments. I had hoped DFA would be it but it doesn't work for image tasks sadly.




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