# [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


### Smoothness of Temporal Embeddings
- penalize the norm of the discrete derivative of the temporal embeddings