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| -rw-r--r-- | finale/sections/discussion.tex | 22 |
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diff --git a/finale/sections/discussion.tex b/finale/sections/discussion.tex new file mode 100644 index 0000000..b04b6dc --- /dev/null +++ b/finale/sections/discussion.tex @@ -0,0 +1,22 @@ +The experimental results obtained in Section 5 look impressive and confirm the +relevance of using a Bayesian approach for the Network Inference problem. +However, we believe that many other aspects of Bayesian Inference could and +should be exploited in the context of Network Inference. We wish to explore +this in future work and only highlight a few possible directions here: +\begin{itemize} + \item obtain formal guarantees on the convergence of measure of the + Bayesian posterior. Similarly to convergence rate results obtained with MLE + estimation, we believe that convergence results could also be obtained in + the Bayesian setting, at least in restricted settings or by making certain + assumptions about the network being learned. + \item strengthening the experimental results by systematically studying how + different network properties impact the speedup induced by active learning. + \item finish formally deriving the update equations when using Bohning + approximations for Variational Inference. + \item extend the combined Variational Inference and Bohning approximation + to Hawkes processes to obtain a unified Bayesian framework for both + discrete-time and continuous-time models. + \item explore the impact of using more expressive (in particular + non-factorized) on the speed of convergence, both in offline and active + online learning. +\end{itemize} |
