Publications (20)
Proper local scoring rules
Matthew Parry, A. Philip Dawid, Steffen Lauritzen
We investigate proper scoring rules for continuous distributions on the real line. It is known that the log score is the only such rule that depends on the quoted density only thro…
Enhanced generation of non-degenerate photon-pairs in nonlinear metasurfaces
Matthew Parry, Andrea Mazzanti, Alexander Poddubny +3
We reveal a novel regime of photon-pair generation driven by the interplay of multiple bound states in the continuum resonances in nonlinear metasurfaces. This non-degenerate photo…
Active tuning of high-Q dielectric metasurfaces
Matthew Parry, Andrei Komar, Ben Hopkins +7
We demonstrate the active tuning of all-dielectric metasurfaces exhibiting high-quality factor (high-Q) resonances. The active control is provided by embedding the asymmetric silic…
Gravity, Parametric Resonance and Chaotic Inflation
Richard Easther, Matthew Parry
We investigate the possibility that nonlinear gravitational effects influence the preheating era after inflation. Our work is based on numerical solutions of the inhomogeneous Eins…
Inhomogeneity and the Post-Inflationary Universe
Richard Easther, Matthew Parry
We discuss the interaction between perturbations in the inflaton and the background during the preheating phase in simple inflationary models. By numerically solving the Einstein f…
V-Splines and Bayes Estimate
Zhanglong Cao, David Bryant, Matthew Parry
Smoothing splines can be thought of as the posterior mean of a Gaussian process regression in a certain limit. By constructing a reproducing kernel Hilbert space with an appropriat…
Proper local scoring rules on discrete sample spaces
A. Philip Dawid, Steffen Lauritzen, Matthew Parry
A scoring rule is a loss function measuring the quality of a quoted probability distribution for a random variable , in the light of the realized outcome of ; it is p…
Adaptive Sequential MCMC for Combined State and Parameter Estimation
Zhanglong Cao, David Bryant, Matthew Parry
In the case of a linear state space model, we implement an MCMC sampler with two phases. In the learning phase, a self-tuning sampler is used to learn the parameter mean and covari…
Preheating and the Einstein Field Equations
Matthew Parry, Richard Easther
We inaugurate a framework for studying preheating and parametric resonance after inflation without resorting to any approximations, either in gravitational perturbation theory or i…
Chiral lasing via broken parity-time symmetry in bound-state-in-the-continuum metasurfaces
Matthew Parry, Daria A. Smirnova, Andrey A. Sukhorukov +1
The paper proposes a planar metasurface design that uses spatial gain‑loss modulation to break parity‑time symmetry, enabling chiral lasing that emits nearly pure circularly polari…
Spatially entangled photon-pairs from lithium niobate nonlocal metasurfaces
Jihua Zhang, Jinyong Ma, Matthew Parry +5
Metasurfaces consisting of nano-scale structures are underpinning new physical principles for the creation and shaping of quantum states of light. Multi-photon states that are enta…
Efficient recycled algorithms for quantitative trait models on phylogenies
Gordon Hiscott, Colin Fox, Matthew Parry +1
We present an efficient and flexible method for computing likelihoods of phenotypic traits on a phylogeny. The method does not resort to Monte-Carlo computation but instead blends…
Generation of tunable quantum entanglement via nonlinearity symmetry breaking in semiconductor metasurfaces
Jinyong Ma, Tongmiao Fan, Tuomas Haggren +10
Tunable biphoton quantum entanglement generated from nonlinear processes is highly desirable for cutting-edge quantum technologies, yet its tunability is substantially constrained…
Quantum metasurface for multi-photon interference and state reconstruction
Kai Wang, James G. Titchener, Sergey S. Kruk +9
Metasurfaces based on resonant nanophotonic structures have enabled novel types of flat-optics devices often outperforming the capabilities of bulk components, yet these advances r…
Inhomogeneity and Nonlinear Preheating
Matthew Parry, Richard Easther
We investigated the possibility that nonlinear gravitational effects influence the preheating era after inflation, using numerical solutions of the inhomogeneous Einstein field equ…
Preheating, Parametric Resonance and the Einstein Field Equations
Matthew Parry, Richard Easther
We consider the interaction between perturbations in the inflaton and in the metric during the preheating phase in simple inflationary models. By numerically integrating the Einste…
Polarization engineering of entangled photons from a lithium niobate nonlinear metasurface
Jinyong Ma, Jihua Zhang, Yuxin Jiang +4
Complex polarization states of photon pairs are indispensable in various quantum technologies. Conventional methods for preparing desired two-photon polarization states are realize…
Adaptive Smoothing for Trajectory Reconstruction
Zhanglong Cao, David Bryant, Tim Molteno +2
Trajectory reconstruction is the process of inferring the path of a moving object between successive observations. In this paper, we propose a smoothing spline -- which we name the…
A Higher Order Resolvent-positive Finite Difference Approximation for Fractional Derivatives
Boris Baeumer, Mihály Kovács, Matthew Parry
We develop a finite difference approximation of order for the -fractional derivative. The weights of the approximation scheme have the same rate-matrix type properties as…
Optimization of metasurfaces for lasing with symmetry constraints on the modes
Matthew Parry, Kenneth B. Crozier, Andrey A. Sukhorukov +1
The development of active metasurface systems, such as lasing metasurfaces, requires the optimization of multiple modes at the absorption and lasing wavelength bands, including the…