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                """  | 
            
            
                                                        
            
                                    
            
            
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                    2
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                Demographic Classification Fairness Criteria.  | 
            
            
                                                        
            
                                    
            
            
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                    3
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                    4
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                The objectives of the demographic classification fairness criteria  | 
            
            
                                                        
            
                                    
            
            
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                    5
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                is to measure unfairness towards sensitive attribute valuse.  | 
            
            
                                                        
            
                                    
            
            
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                    6
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                    7
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                The metrics have the same interface and behavior as the ones in  | 
            
            
                                                        
            
                                    
            
            
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                    8
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                :mod:`sklearn.metrics`  | 
            
            
                                                        
            
                                    
            
            
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                    9
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                (e.g., using ``y_true``, ``y_pred`` and ``y_score``).  | 
            
            
                                                        
            
                                    
            
            
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                    10
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                    11
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                One should keep in mind that the criteria are intended  | 
            
            
                                                        
            
                                    
            
            
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                    12
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                to *measure unfairness, rather than to prove fairness*, as it stated in  | 
            
            
                                                        
            
                                    
            
            
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                    13
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                the paper `Equality of opportunity in supervised learning <https://arxiv.org/abs/1610.02413>`_  | 
            
            
                                                        
            
                                    
            
            
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                    14
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                by Hardt et al. (2016):  | 
            
            
                                                        
            
                                    
            
            
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                    16
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                    ... satisfying [the demographic criteria] should not be  | 
            
            
                                                        
            
                                    
            
            
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                    17
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                    considered a conclusive proof of fairness.  | 
            
            
                                                        
            
                                    
            
            
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                    18
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                    Similarly, violations of our condition are not meant  | 
            
            
                                                        
            
                                    
            
            
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                    19
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                    to be a proof of unfairness.  | 
            
            
                                                        
            
                                    
            
            
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                    20
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                    Rather we envision our framework as providing a reasonable way  | 
            
            
                                                        
            
                                    
            
            
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                    21
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                    of discovering and measuring potential concerns that require  | 
            
            
                                                        
            
                                    
            
            
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                    22
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                    further scrutiny. We believe that resolving fairness concerns is  | 
            
            
                                                        
            
                                    
            
            
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                    23
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                    ultimately impossible without substantial domain-specific  | 
            
            
                                                        
            
                                    
            
            
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                    24
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                    investigation.  | 
            
            
                                                        
            
                                    
            
            
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                    25
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                    26
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                The output of binary classifiers can come in two forms, either giving  | 
            
            
                                                        
            
                                    
            
            
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                    27
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                a binary outcome prediction for input or producing  | 
            
            
                                                        
            
                                    
            
            
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                    28
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                a real number score, which the common one is the probability  | 
            
            
                                                        
            
                                    
            
            
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                    29
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                for the positive or negative label  | 
            
            
                                                        
            
                                    
            
            
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                    30
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                (such as the method ``proba`` of an ``Estimator`` in ``sklearn``).  | 
            
            
                                                        
            
                                    
            
            
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                    31
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                Therefore, the criteria come in two flavors, one for **binary** output,  | 
            
            
                                                        
            
                                    
            
            
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                    32
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                and the second for **score** output.  | 
            
            
                                                        
            
                                    
            
            
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                    33
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                    34
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                The fundamental concept for defining the fairness criteria  | 
            
            
                                                        
            
                                    
            
            
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                    35
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                is `conditional independence <https://en.wikipedia.org/wiki/Conditional_independence>`_.  | 
            
            
                                                        
            
                                    
            
            
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                    36
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                Using *Machine Learning and Fairness* book's notions:  | 
            
            
                                                        
            
                                    
            
            
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                    37
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                    38
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                - ``A`` - Sensitive attribute  | 
            
            
                                                        
            
                                    
            
            
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                    39
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                - ``Y`` - Binary ground truth (correct) target  | 
            
            
                                                        
            
                                    
            
            
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                    40
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                - ``R`` - Estimated binary targets or score as returned by a classifier  | 
            
            
                                                        
            
                                    
            
            
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                    41
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                    42
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                There are three demographic fairness criteria for classification:  | 
            
            
                                                        
            
                                    
            
            
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                    43
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                    44
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                1. Independence - R⊥A  | 
            
            
                                                        
            
                                    
            
            
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                    45
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                    46
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                2. Separation - R⊥A∣Y  | 
            
            
                                                        
            
                                    
            
            
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                    47
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                    48
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                3. Sufficiency - Y⊥A∣R  | 
            
            
                                                        
            
                                    
            
            
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                    49
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                    50
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                """  | 
            
            
                                                        
            
                                    
            
            
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                    51
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                    52
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                | 
                    53
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                from ethically.fairness.metrics.binary import (  | 
            
            
                                                        
            
                                    
            
            
                | 
                    54
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                 | 
                    independence_binary, report_binary, separation_binary, sufficiency_binary,  | 
            
            
                                                        
            
                                    
            
            
                | 
                    55
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                )  | 
            
            
                                                        
            
                                    
            
            
                | 
                    56
                 | 
                                    
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                from ethically.fairness.metrics.score import (  | 
            
            
                                                        
            
                                    
            
            
                | 
                    57
                 | 
                                    
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                 | 
                    independence_score, roc_auc_score_by_attr, roc_curve_by_attr,  | 
            
            
                                                        
            
                                    
            
            
                | 
                    58
                 | 
                                    
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                 | 
                    separation_score, sufficiency_score,  | 
            
            
                                                        
            
                                    
            
            
                | 
                    59
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                )  | 
            
            
                                                        
            
                                    
            
            
                | 
                    60
                 | 
                                    
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                 | 
                from ethically.fairness.metrics.visualization import (  | 
            
            
                                                        
            
                                    
            
            
                | 
                    61
                 | 
                                    
                                                     | 
                
                 | 
                    distplot_by, plot_roc_by_attr, plot_roc_curves,  | 
            
            
                                                        
            
                                    
            
            
                | 
                    62
                 | 
                                    
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                )  | 
            
            
                                                        
            
                                    
            
            
                | 
                    63
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                 |