Margin-infused relaxed algorithm

Margin Infused Relaxed Algorithm (MIRA) is a machine learning algorithm, an online algorithm for multi-class problems. It is designed to learn a set of parameters (vector or matrix) by processing all the given training examples one-by-one and updating the parameters after each iteration.

The flow of the algorithm looks as follows:

Algorithm MIRA
  Input: Training examples $T=\{x_{i},y_{i}\}$
  Output: Set of parameters $w$
  
  $i:=0$, $w^{(0)}:=0$
  for $n:=1$ to $N$
    for $t:=1$ to $|T|$
      $w^{(i+1)}:=$ update $w^{(i)}$ according to $\{x_{t},y_{t}\}$
      $i:=i+1$
    end for
  end for
  return ${\frac {\sum _{j=1}^{N*|T|}w^{(j)}}{N*|T|}}$