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Situated grounding and understanding of structured low-resource expert data
(Heriot-Watt University Mathematical and Computer Sciences, 2022-08)Conversational agents are becoming more widespread, varying from social to goaloriented to multi-modal dialogue systems. However, for systems with both visual and spatial requirements, such as situated robot planning, ... -
Relational knowledge and representation for reinforcement learning
(Heriot-Watt University Mathematical and Computer Sciences, 2022-08)In reinforcement learning, an agent interacts with the environment, learns from feedback about the quality of its actions, and improves its behaviour or policy in order to maximise its expected utility. Learning efficiently ... -
Relational knowledge and representation for reinforcement learning
(Heriot-Watt University Engineering and Physical Sciences, 2022-08)In reinforcement learning, an agent interacts with the environment, learns from feedback about the quality of its actions, and improves its behaviour or policy in order to maximise its expected utility. Learning efficiently ... -
Approximations in actuarial and financial mathematics
(Heriot-Watt University Mathematical and Computer Sciences, 2022-07)This thesis consists of three topics that are related to approximations. We first investigate the accuracy of Taylor polynomials in approximating utility functions. We show that increasing the polynomial order does not ... -
Spectral properties of monopoles and gravitational instantons
(Heriot-Watt University Mathematical and Computer Sciences, 2022-07)Motivated by spectral problems arising in gauge theory and gravity, we develop a rigorous proof of infinitely many bound states for a family of radial Laplacians that have Calogero characteristics at the origin and Coulombic ...