Game Theoretic Efficient Learning Systems
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2022-07-01
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en
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The aim of this thesis is the development of new pruning methods based on
power indices such as the Shapley value and the Banzhaf index. As a proof of
concept, a preliminary study was conducted on the application of these concepts
to decision tree pruning, which showed that these power indices constitute viable
pruning metrics, with the additional benefit that they also provide interesting
insight into feature importance. The main work of this thesis continued this train of
thought, applying the pruning to image classification using small and medium-sized
models. To improve scaling of our methods to larger models, as well as the accuracy
of the pruned models, new techniques were introduced. An extension of Monte
Carlo dropout was applied as a method for estimating optimal network size. This
network size was subsequently used to bias the sampling in the Banzhaf index to
obtain a new power index: Biased Banzhaf. To cut down further on computation
time, layer-wise power index sampling was introduced. This allowed for pruning
the AlexNet model with reasonable computational resources, while outperforming
common pruning baselines. As a second topic during the thesis, experimental
results were contributed to the work “Deep Regression Ensembles”. This work
introduced a new model that uses ensembles of random features followed by ridge
regression to learn complex problems without the need for gradient descent. The
contributions involved the implementation of the proposed model, additions to
help scale the model, and the application of the model to image classification on
MNIST and TinyImageNet. Finally, the thesis involved contributions to the work
“Neural Payoff Machines: Predicting Fair and Stable Payoff Allocations Among
Team Members”, mainly in the form of scientific discussion about experiment design
and interpretation.
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Faculteit der Sociale Wetenschappen