Julia Fernandez

Adaptive optics play a crucial role in acquiring high-quality images in ground-based telescopes. The primary challenge lies in mitigating the impact of atmospheric turbulence on captured light, which induces aberrations in the wavefront, resulting in distorted images. Over the past decade, several studies have been carried out exploring the application of predictive models to this technology, aiming to increase the efficiency of the process, reduce costs as well as improve the response time of the system. In particular, neural networks have been proven to be a powerful tool toward this end. This study assesses the potential of novel training and data processing techniques, while also evaluating the influence of specific parameters such as input data length and system frequency. In this study, the ideal training parameters are first analyzed through several low-complexity models, followed by the integration of more sophisticated neural networks. The feasibility of predicting slopes from sensor images has been demonstrated, validating the use of image-based sensor data. These results also open the path for exploring multi-scale sensors, like pyramid sensors, which could further improve predictions by capturing data at different spatial resolutions.

The multilinear extension of a cooperative game was introduced by Owen in 1972. In this contribution we study the Lovász extension for cooperative games by using the marginal worth vectors and the dividends. First, we prove a formula for the marginal worth vectors with respect to compatible orderings. Next, we consider the direct market generated by a game. This model of utility function, proposed by Shapley and Shubik in 1969, is the concave biconjugate extension of the game. Then we obtain the following characterization: The utility function of a market game is the Lovász extension of the game if and only if the market game is supermodular. Finally, we present some preliminary problems about the relationship between cooperative games and combinatorial optimization.

This anthology of the very latest research on truth features the work of recognized luminaries in the field, put together following a rigorous refereeing process. Along with an introduction outlining the central issues in the field, it provides a unique and unrivaled view of contemporary work on the nature of truth, with papers selected from key conferences in 2011 such as Truth Be Told (Amsterdam), Truth at Work (Paris), Paradoxes of Truth and Denotation (Barcelona) and Axiomatic Theories of Truth (Oxford).