The expected goal provides a more representative measure of the team and player performance which also suit the low-scoring nature of football instead of score in modern football. The score of a match involves randomness and often may not represent the performance of the teams and players, therefore it has been popular to use the alternative statistics in recent years such as shots on target, ball possessions, and drills. To measure the probability of a shot being a goal by the expected goal, several features are used to train an expected goal model which is based on the event and tracking football data. The selection of these features, the size and date of the data, and the model which are used as the parameters that may affect the performance of the model. Using black-box machine learning models for increasing the predictive performance of the model decreases its interpretability that causes the loss of information that can be gathered from the model. This paper proposes an accurate expected goal model trained consisting of 315,430 shots from seven seasons between 2014-15 and 2020-21 of the top-five European football leagues. Moreover, this model is explained by using explainable artificial intelligence tool to obtain an explainable expected goal model for evaluating a team or player performance. To the best of our knowledge, this is the first paper that demonstrates a practical application of an explainable artificial intelligence tool aggregated profiles to explain a group of observations on an accurate expected goal model for monitoring the team and player performance. Moreover, these methods can be generalized to other sports branches.

Lookup operations for in-memory databases are heavily memory bound, because they often rely on pointer-chasing linked data structure traversals. They also have many branches that are hard-to-predict due to random key lookups. In this study, we show that although cache misses are the primary bottleneck for these applications, without a method for eliminating the branch mispredictions only a small fraction of the performance benefit is achieved through prefetching alone. We propose the Node Tracker (NT), a novel programmable prefetcher/pre-execution unit that is highly effective in exploiting inter key-lookup parallelism to improve single-thread performance. We extend NT with branch outcome streaming (BOS) to reduce branch mispredictions and show that this achieves an extra 3× speedup. Finally, we evaluate the NT as a pre-execution unit and demonstrate that we can further improve the performance in both single- and multi-threaded execution modes. Our results show that, on average, NT improves single-thread performance by 4.1× when used as a prefetcher; 11.9× as a prefetcher with BOS; 14.9× as a pre-execution unit and 18.8× as a pre-execution unit with BOS. Finally, with 24 cores of the latter version, we achieve a speedup of 203× and 11× over the single-core and 24-core baselines, respectively.

Indirect memory accesses have irregular access patterns that limit the performance of conventional software and hardware-based prefetchers. To address this problem, we propose the Array Tracking Prefetcher (ATP), which tracks array-based indirect memory accesses using a novel combination of software and hardware. ATP is first configured by special metadata instructions, which are inserted by programmer or compiler to pass data structure traversal knowledge. It then calculates and issues prefetches based on this information. ATP also employs a novel mechanism for dynamically adjusting prefetching distance to reduce early or late prefetches. ATP yields average speedup of 2.17 as compared to a single-core without prefetching. By contrast, the speedup for conventional software and hardware-based prefetching is 1.84 and 1.32, respectively. For four cores, the average speedup for ATP is 1.85, while the corresponding speedups for software and hardware-based prefetching are 1.60 and 1.25, respectively.

Indirect memory accesses have irregular access patterns and concomitantly poor spatial locality. To address this problem, we propose the Array Tracking Prefetcher which tracks array-based indirect memory accesses using a novel combination of software and hardware. Our results show that ATP yields average speedup of 1.60 over the baseline single-core without prefetching. By contrast, the speedup for conventional software and hardware-based prefetching, is 1.49 and 1.16, respectively. For four-cores, the average speedups for ATP, software, and hardware are 1.49, 1.38, and 1.11, respectively.