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Timothee Lacroix

3 accepted papers

2023

Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs

ICLR 2023top-5%

The formalization of existing mathematical proofs is a notoriously difficult process. Despite decades of research on automation and proof assistants, writing formal proofs remains arduous and only accessible to a few experts. While previous studies to automate formalization focused on powerful searc…

Cited by 172Source ↗PDF ↗Scholar ↗
2022

HyperTree Proof Search for Neural Theorem Proving

NeurIPS 2022accept

We propose an online training procedure for a transformer-based automated theorem prover. Our approach leverages a new search algorithm, HyperTree Proof Search (HTPS), that learns from previous proof searches through online training, allowing it to generalize to domains far from the training distrib…

Cited by 280Source ↗PDF ↗Scholar ↗
2018

Canonical Tensor Decomposition for Knowledge Base Completion

ICML 2018oral

The problem of Knowledge Base Completion can be framed as a 3rd-order binary tensor completion problem. In this light, the Canonical Tensor Decomposition (CP) seems like a natural solution; however, current implementations of CP on standard Knowledge Base Completion benchmarks are lagging behind the…