Table 2:

Notation
. | Denotation
. |
---|---|

$w\u2192$ | Vector corresponding to a word w |

$wd\u2192$ | Debiased version of $w\u2192$ |

V | Vocabulary set |

V_{p} | The set of words which are preserved during the debiasing procedure |

V_{d} | The set of words which are subjected to the debiasing procedure |

D | Set of dictionaries |

d_{i} | A particular dictionary from the set D |

$g\u2192$ | Gender direction |

$Db(w\u2192)$ | Direct bias of a word w. |

$\beta (w1\u2192,w2\u2192)$ | Indirect bias between a pair of words w_{1} and w_{2}. |

$\eta (w\u2192)$ | Gender-based proximity bias of a word w |

N_{w} | Set of neighboring words of a word w |

$Fr(wd\u2192)$ | Repulsion objective function |

$Fa(wd\u2192)$ | Attraction objective function |

$Fn(wd\u2192)$ | Neutralization objective function |

$F(wd\u2192)$ | Multi-objective optimization function |

KBC | Knowledge Based Classifier |

BBN | Bias Based Network |

GIPE | Gender-based Illicit Proximity Estimate |

Notation
. | Denotation
. |
---|---|

$w\u2192$ | Vector corresponding to a word w |

$wd\u2192$ | Debiased version of $w\u2192$ |

V | Vocabulary set |

V_{p} | The set of words which are preserved during the debiasing procedure |

V_{d} | The set of words which are subjected to the debiasing procedure |

D | Set of dictionaries |

d_{i} | A particular dictionary from the set D |

$g\u2192$ | Gender direction |

$Db(w\u2192)$ | Direct bias of a word w. |

$\beta (w1\u2192,w2\u2192)$ | Indirect bias between a pair of words w_{1} and w_{2}. |

$\eta (w\u2192)$ | Gender-based proximity bias of a word w |

N_{w} | Set of neighboring words of a word w |

$Fr(wd\u2192)$ | Repulsion objective function |

$Fa(wd\u2192)$ | Attraction objective function |

$Fn(wd\u2192)$ | Neutralization objective function |

$F(wd\u2192)$ | Multi-objective optimization function |

KBC | Knowledge Based Classifier |

BBN | Bias Based Network |

GIPE | Gender-based Illicit Proximity Estimate |

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