Table 7 Complexity of different model architectures.

From: MMTransformer: a multivariate time-series resource forecasting model for multi-component applications

Method

Encoder

Decoder

Transformer

O(T)2

\(O\left( {H\left( {H + T} \right)} \right)\)

Autoformer

\(O\left( {TlogT} \right)\)

\(O\left( {\left( {\frac{T}{2} + H} \right)} \right.\left. {\log \left( {\frac{T}{2} + H} \right)} \right)\)

Informer

\(O\left( {TlogT} \right)\)

\(O\left( {H\left( {H + logT} \right)} \right)\)

Fedformer

\(O\left( T \right)\)

\(O\left( {\frac{T}{2} + H} \right)\)

Ours

\(O\left( {\frac{{DT^{2} }}{{S^{2} }}} \right)\)

\(O\left( {\frac{{DH\left( {H + T} \right)}}{{S^{2} }}} \right)\)