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Richard Evans

Publications and source records attributed to Richard Evans.

22 records · Page 2Linked to original sources

Reinforcement Learning in a Neurally Controlled Robot Using Dopamine Modulated STDP

Recent work has shown that dopamine-modulated STDP can solve many of the issues associated with reinforcement learning, such as the distal reward problem. Spiking neural networks provide a useful technique in implementing reinforcement learning in an embodied context as they can deal with continuous parameter spaces and as such are better at generalizing the correct behaviour to perform in a given context. In this project we implement a version of DA-modulated STDP in an embodied robot on a food foraging task. Through simulated dopaminergic neurons we show how the robot is able to learn a sequence of behaviours in order to achieve a food reward. In tests the robot was able to learn food-attraction behaviour, and subsequently unlearn this behaviour when the environment changed, in all 50 trials. Moreover we show that the robot is able to operate in an environment whereby the optimal behaviour changes rapidly and so the agent must constantly relearn. In a more complex environment, consisting of food-containers, the robot was able to learn food-container attraction in 95% of trials, despite the large temporal distance between the correct behaviour and the reward. This is achieved by shifting the dopamine response from the primary stimulus (food) to the secondary stimulus (food-container). Our work provides insights into the reasons behind some observed biological phenomena, such as the bursting behaviour observed in dopaminergic neurons. As well as demonstrating how spiking neural network controlled robots are able to solve a range of reinforcement learning tasks.

cs.NE↗

Improved Semileptonic Form Factor Calculations in Lattice QCD

We investigate the computational efficiency of two stochastic based alternatives to the Sequential Propagator Method used in Lattice QCD calculations of heavy-light semileptonic form factors. In the first method, we replace the sequential propagator, which couples the calculation of two of the three propagators required for the calculation, with a stochastic propagator so that the calculations of all three propagators are independent. This method is more flexible than the Sequential Propagator Method but introduces stochastic noise. We study the noise to determine when this method becomes competitive with the Sequential Propagator Method, and find that for any practical calculation it is competitive with or superior to the Sequential Propagator Method. We also examine a second stochastic method, the so-called ``one-end trick", concluding it is relatively inefficient in this context. The investigation is carried out on two gauge field ensembles, using the non-perturbatively improved Wilson-Sheikholeslami-Wohlert action with N_f=2 mass-degenerate sea quarks. The two ensembles have similar lattice spacings but different sea quark masses. We use the first stochastic method to extract ${\mathcal O}(a)$-improved, matched lattice results for the semileptonic form factors on the ensemble with lighter sea quarks, extracting f_+(0).

hep-lat↗

A Stochastic Method for Semileptonic Form Factor Calculations on the Lattice

We investigate an alternative to the Sequential Propagator Method used in Lattice QCD calculations of semileptonic form factors. We replace the sequential propagator with a stochastic propagator so that, in principle, all momentum and sink smearing combinations are available with only a single spin-color inversion. Practically, the stochastic noise is significant and must be reduced at the cost of more inversions. We study the behavior of the stochastic noise and compare the computational costs of this stochastic technique and the Sequential Propagator Method. We also present preliminary semileptonic form factor results using the stochastic technique on N_f=2 configurations with a non-perturbatively improved Sheikoleslami-Wohlert action generated by the QCDSF collaboration. At a fixed cost, measured in terms of the number of heavy-quark inversions, the method provides more correlators for the extraction of the form factors at various q^2's than the Sequential Propagator Method. These additional correlators reduce the total statistical errors of certain kinematic points, although the stochastic error is still comparable to the gauge error at other points.

hep-lat↗

Tameness on the boundary and Ahlfors' measure conjecture

Let N be a complete hyperbolic 3-manifold that is an algebraic limit of geometrically finite hyperbolic 3-manifolds. We show N is homeomorphic to the interior of a compact 3-manifold, or tame, if one of the following conditions holds: (1) N has non-empty conformal boundary, (2) N is not homotopy equivalent to a compression body, or (3) N is a strong limit of geometrically finite manifolds. The first case proves Ahlfors' measure conjecture for Kleinian groups in the closure of the geometrically finite locus: given any algebraic limit G of geometrically finite Kleinian groups, the limit set of G is either of Lebesgue measure zero or all of the Riemann sphere. Thus, Ahlfors' conjecture is reduced to the density conjecture of Bers, Sullivan, and Thurston.

math.GT↗