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<mods:namePart>Dayan, Peter (Prof. Dr.)</mods:namePart>
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<mods:namePart>Bruijns, Sebastian A.</mods:namePart>
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<mods:abstract>The mathematical modelling of behaviour enables the formalisation of theories&#xd;
of cognition. Removed from the details of neural implementation, we can&#xd;
abstractly reason about properties of the algorithms employed by the brain&#xd;
which transform the presented inputs into the observed actions. However,&#xd;
there are a number of complications, both in behaviour itself and the process&#xd;
of modelling it, which impede a comprehensive characterisation of behaviour.&#xd;
In this thesis, we present two separate modelling approaches which deal with&#xd;
some of these issues. We showcase these frameworks on the International&#xd;
Brain Laboratory (IBL) data of over 100 mice performing a perceptual decision-&#xd;
making task. Mice learn the basic contingencies of this task over a number&#xd;
of sessions and many thousands of trials. Afterwards, the task gains a biased&#xd;
block structure, requiring the animals to track this hidden state to improve&#xd;
their task performance.&#xd;
We first build a highly flexible model which deals with the issues of non-&#xd;
stationary behaviour due to learning and motivation, along with individual&#xd;
differences. This is achieved using an infinite hidden Markov model (iHMM)&#xd;
which provides a state based description of behaviour, with a non-parametric&#xd;
Bayesian structure. The latter allows for the introduction of new states in&#xd;
response to drastic changes in behaviour (such as learning through a sud-&#xd;
den insight or motivational fluctuations). We fit this model to individuals&#xd;
independently, exploiting automated complexity control. Dynamics in the char-&#xd;
acterisation of the behavioural states additionally imbue the model with the&#xd;
capacity to capture gradual learning. This allows us to identify distinct stages of&#xd;
learning which are present throughout the population of IBL mice. We also find&#xd;
substantial inter-individual differences in our model-based characterisations,&#xd;
and quantify the limited predictability of the course of learning.&#xd;
The second model we present uses neural networks to overcome the inherent&#xd;
rigidities of models such as the iHMM, by progressively removing restrictions&#xd;
from the class of modellable functions. This amounts to hybridising the neural&#xd;
networks with a classical model of expert mouse behaviour on our task, to&#xd;
maintain interpretability. We use this to find a simple extension of the classical&#xd;
model which outperforms it, and thus provides a powerful but interpretable full&#xd;
model of task behaviour. Amongst other insights, it shows how motivational&#xd;
fluctuations represent a substantial source of behavioural variability for which&#xd;
any complete model will have to account.&#xd;
We thus provide tools which bring the field closer to a holistic modelling&#xd;
approach of animal behaviour.</mods:abstract>
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<mods:title>The best-laid models of mice and men: Towards a holistic characterisation of animal behaviour</mods:title>
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