Search Results for author: C. -H. Luke Ong

Found 6 papers, 3 papers with code

Diagonalisation SGD: Fast & Convergent SGD for Non-Differentiable Models via Reparameterisation and Smoothing

1 code implementation19 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.

Fast and Correct Gradient-Based Optimisation for Probabilistic Programming via Smoothing

no code implementations9 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.

Probabilistic Programming Variational Inference

Densities of Almost Surely Terminating Probabilistic Programs are Differentiable Almost Everywhere

no code implementations8 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.

Defunctionalization of Higher-Order Constrained Horn Clauses

1 code implementation8 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

Higher-Order Constrained Horn Clauses and Refinement Types

1 code implementation17 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

Unboundedness and Downward Closures of Higher-Order Pushdown Automata

no code implementations13 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

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