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# System prepended metadata

title: '[Paper Study] TENSOR DECOMPOSITIONS FOR TEMPORAL KNOWLEDGE BASE COMPLETION'

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# [Paper Study] TENSOR DECOMPOSITIONS FOR TEMPORAL KNOWLEDGE BASE COMPLETION

### Introduction

- Problem to solve: Temporal Link Prediction.(subject, predicate, ?)
- extension of ComplEx

## Related work
- Static link prediction
    - tensor decomposition
- Temporal link prediction
    - (subject, predicate, ?, time)

## Model

TComplEx: decompose tensors

### None Temporal Predicates

TNTComplEx: non temporal decomposition --> sum of two tensors, one temporal, and one non-temporal.


### Regularization

![](https://i.imgur.com/QM388UT.png)


### Smoothness of Temporal Embeddings
- penalize the norm of the discrete derivative of the temporal embeddings
![](https://i.imgur.com/LMcceuz.png)

