1 code implementation • 19 Feb 2024 • Dominik Wagner, Basim Khajwal, C. -H. Luke Ong
It is well-known that the reparameterisation gradient estimator, which exhibits low variance in practice, is biased for non-differentiable models.
no code implementations • 9 Jan 2023 • Basim Khajwal, C. -H. Luke Ong, Dominik Wagner
Thus we can prove stochastic gradient descent with the reparameterisation gradient estimator to be correct when applied to the smoothed problem.
no code implementations • 8 Apr 2020 • Carol Mak, C. -H. Luke Ong, Hugo Paquet, Dominik Wagner
We give SPCF a sampling-style operational semantics a la Borgstrom et al., and study the associated weight (commonly referred to as the density) function and value function on the set of possible execution traces.
1 code implementation • 8 Oct 2018 • Long Pham, Steven J. Ramsay, C. -H. Luke Ong
In addition to well-sortedness of the algorithm's output, we prove that if an input HoCHC is solvable, then the result of its defunctionalization is solvable.
Programming Languages D.2.4; F.3.1; F.4.1
1 code implementation • 17 May 2017 • Toby Cathcart Burn, C. -H. Luke Ong, Steven J. Ramsay
Motivated by applications in automated verification of higher-order functional programs, we develop a notion of constrained Horn clauses in higher-order logic and a decision problem concerning their satisfiability.
Programming Languages Logic in Computer Science D.2.4; F.3.1; F.4.1
no code implementations • 13 Jul 2015 • Matthew Hague, Jonathan Kochems, C. -H. Luke Ong
We show the diagonal problem for higher-order pushdown automata (HOPDA), and hence the simultaneous unboundedness problem, is decidable.
Formal Languages and Automata Theory F.4.3