title | software | abstract | layout | series | publisher | issn | id | month | tex_title | firstpage | lastpage | page | order | cycles | bibtex_author | author | date | address | container-title | volume | genre | issued | extras | |||||||||||||||||||||
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Probabilistic Modeling for Sequences of Sets in Continuous-Time |
Neural marked temporal point processes have been a valuable addition to the existing toolbox of statistical parametric models for continuous-time event data. These models are useful for sequences where each event is associated with a single item (a single type of event or a “mark”)—but such models are not suited for the practical situation where each event is associated with a set of items. In this work, we develop a general framework for modeling set-valued data in continuous-time, compatible with any intensity-based recurrent neural point process model. In addition, we develop inference methods that can use such models to answer probabilistic queries such as “the probability of item A being observed before item B,” conditioned on sequence history. Computing exact answers for such queries is generally intractable for neural models due to both the continuous-time nature of the problem setting and the combinatorially-large space of potential outcomes for each event. To address this, we develop a class of importance sampling methods for querying with set-based sequences and demonstrate orders-of-magnitude improvements in efficiency over direct sampling via systematic experiments with four real-world datasets. We also illustrate how to use this framework to perform model selection using likelihoods that do not involve one-step-ahead prediction. |
inproceedings |
Proceedings of Machine Learning Research |
PMLR |
2640-3498 |
chang24a |
0 |
Probabilistic Modeling for Sequences of Sets in Continuous-Time |
4357 |
4365 |
4357-4365 |
4357 |
false |
Chang, Yuxin and J Boyd, Alex and Smyth, Padhraic |
|
2024-04-18 |
Proceedings of The 27th International Conference on Artificial Intelligence and Statistics |
238 |
inproceedings |
|