Algorithmic Fairness: Choices, Assumptions, and Definitions

Shira Mitchell, Eric Potash, Solon Barocas, Alexander D’Amour, Kristian Lum · Annual Review of Statistics and Its Application · 2020 · social-sciences · 10.1146/annurev-statistics-042720-125902 · record mitchell2020-algorithmic-fairness-choices-assum
tag layer · index · concepts · authors · עברית
Where this record's text came from. 2026-08-22 and 2026-08-28 schema-0.3 passes: every quote verified as an exact substring of the staged text and anchored at merge time; concept terms verified present; every edge endpoint an existing node.
This record’s own method is review, and the tags below follow from that. A review’s findings, quantities and statistics are things stated IN this paper, and some of them report results obtained elsewhere. No tag on this page names a different author. Measured across every review in this corpus, 81% of a review’s tags carry no citation at all — most of them are the review speaking. The corpus does not adjudicate the rest: read an unmarked tag as a claim this paper makes, not necessarily one it made first.
How to read this page. The article itself is not reproduced here — this paper is not cleared for redistribution, so what follows is the tag layer alone. The evidence sentences are withheld with the article. The table at the foot lists every tag the record carries; each row names the facet it belongs to, and the whose words column says whether the tag records the paper's own wording or the tagger's sentence about the paper. Every tag links to each other paper in the corpus carrying it. The machine-readable edition of the same thing is the TEI file beside this one, where the tags live in standOff, and the article is at its publisher via the link below. When we have changed our mind. Some entries in the table begin with a word in capitals and the reason for it. EVIDENCE CORRECTED — the finding still stands, but we had quoted the wrong sentence from the paper, and the quotation has been replaced with the right one. RETRACTED — the entry itself was wrong; it stays on the page, marked, with the reason, rather than being deleted. WITHDRAWN AND REPLACED — the entry was wrong, and a corrected version of it appears in the entries below. Each mark carries its own reason, in brackets, because the reasons differ from one entry to the next. An entry we have WITHDRAWN is removed from this page and kept in the record, with its reason. A line reading Audit and a date is a later re-reading of the entry against its whole sentence: DOUBTFUL means it was kept, and the reason says what is loose about it. Quotation marks inside the tagger's sentence. Where a tag is the tagger's own sentence, a phrase in quotation marks inside it is borrowed from the paper — the tagger's wording around it is not. The paper's own sentence is the evidence quote for that row; on this page it is withheld with the article, and the article is at its publisher. Nothing inside quotation marks anywhere on this page is ours: if it is quoted, it is the paper's. Whose words a concept carries. A concept entry records a term the paper itself uses, so the term, the sense given for it, and its evidence are the paper's own words, quoted where the paper fixes them. This is the opposite of a sense entry in the tag table, which is the tagger's sentence about how the paper uses a term. Where a concept entry could not be grounded in the paper's words, the entry says so on its own row.
Other fields define these differently the same word, defined another way in another discipline
bias 38 fields · algorithmic fairness 2 fields

Tags on this paper

Every tag the record carries, each linking to every other paper in the corpus that carries it. A tag appears here whether or not its words occur in the article — the spans below are only the ones a sentence in this paper licenses. Of the 35 concept tags on this paper, all 35 are grounded in a quoted sentence. All carry the tagger's gloss of what the term means in this paper, which is not something the article can license.
algorithmic fairness equal false positive rates equal positive predictive values calibration within groups sufficiency separation bias quantitative notions of fairness structural conditions equality of true positive rates equality of false negative rates equal opportunity error rate balance equalized odds equality of negative predictive value equality of false omission rate equality of positive predictive value equality of false discovery rate predictive parity avoiding disparate mistreatment treatment equality demographic parity statistical parity group fairness Conditional demographic parity fairness through unawareness anticlassification treatment parity metric fairness individual fairness m-Lipschitz property perfect metric fairness individual counterfactual fairness conditional counterfactual fairness counterfactual parity false positive rates positive predictive values review
Method, as described: a review: collect the published definitions, restate them in one notation, and set the impossibility theorems against the public COMPAS dispute as a worked case

Legend

relation to other workclaim_relationshow this paper stands to another: agrees, contradicts, extends, qualifies
claim typeclaim_typethe shape of the claim: existence, mechanism, method, critique, prediction, null
concept edgeconcept_edgesan asserted relation between two concepts, with the sentence asserting it
conceptconceptsan idea the paper works with, quoted where the paper uses it
content tagcontent_tagsa finding, definition, quantity, statistic or variable named in the paper
contributioncontributionwhat the paper claims to add
controlcontrolsan experiment run to eliminate a rival explanation
limitationlimitationswhat the paper says its evidence cannot support
mechanismmechanismshow the reported effect is said to come about
methodmethodhow the paper produced its evidence
object of studyobject_of_studywhat the paper is about — the thing it investigates
phenomenonphenomenonthe effect or regularity under study
research questionresearch_questionthe question the paper sets itself
sensesensesa distinct use of a term, quoted where the paper fixes it
unrecordable relationunhoused_relationsa relation the paper asserts that this vocabulary cannot express, with the reason

The paper

The full text is not reproduced here. This article is not cleared for redistribution, so the page carries the tag layer only. Its evidence sentences are withheld; the grounding status remains with each tag, and the article itself is at https://doi.org/10.1146/annurev-statistics-042720-125902. The reading view exists for the papers whose licence permits it.

Every tag on this page

claim_relations 3 · claim_type 1 · concept_edges 12 · concepts 35 · content_tags 15 · contribution 1 · controls 3 · limitations 5 · mechanisms 2 · method 1 · object_of_study 1 · phenomenon 1 · research_question 1 · senses 32 · unhoused_relations 4

Relations on this page carry a quotation for the claim. Where a relation was separately evidenced — and so tested against the vocabulary for its type — the row says so; 10 of 12 relations here carry that mark. The rest are the tagger’s reading of the sentence quoted beside them.

facettagfieldconf.whose words
object_of_studyTHE COMPETING QUANTITATIVE DEFINITIONS OF 'FAIRNESS' THEMSELVES - catalogued, put into one notation, and then shown to be mutually unsatisfiable
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
object_of_studythe paper's words
research_questionwhat the definitions of algorithmic fairness are, what each one assumes, and whether they can be held together
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
research_questionthe paper's words
contributiona notationally consistent catalogue of fairness definitions, the choices and assumptions each rests on, and the impossibility results that separate them
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
contributionthe paper's words
claim_typecritique
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
claim_typethe paper's words
phenomenona young field in which one word carries several formal meanings that cannot all be satisfied at once, so that two competing analyses of the same tool can both be arithmetically correct
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
phenomenonthe paper's words
methodreview
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
also in: review
methodthe paper's words
mechanismsTHE INCOMPATIBILITY IS NOT A PROPERTY OF ALGORITHMS. `the trade-off between different notions of fairness would apply even if a human were the one making the prediction`, and `Rejecting model-driven or automated decision-making is not a way to avoid these problems`. It is a property of predicting at all, under inequality
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
mechanisms[0]0.95the tagger's words
mechanismsand the conditions under which the definitions COULD agree are named and are both unreachable: equal base rates or perfect prediction. The paper calls them `trivial, degenerate, or even utopian (representing two very different utopias)`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
mechanisms[1]0.95the tagger's words
limitationsthe paper declines the job most readers want done: `The goal of this article is not to advance axiomatic definitions of fairness but to summarize the definitions and results ... formalized to date`. It catalogues a disagreement rather than settling it, and says so in the introduction
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
limitations[0]0.95the tagger's words
limitationsand it names the gap its own subject cannot close: `gaps between mathematically convenient formalism and the larger social goals that many of these concepts were introduced to address`. THAT IS THE OPERATIONALISATION GAP, NAMED AS SUCH, by a paper whose subject is operationalisations
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
limitations[1]0.95the tagger's words
limitationsthe object being predicted is already an abstraction of the thing anyone cares about: policy goals are `sometimes clumsily, abstracted and formulated to fit into a prediction task`, and the choices that do it sit outside the model
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
limitations[2]0.95the tagger's words
limitationsand the decision itself is flattened before any of this begins: a judge's options are many, `in this literature, this decision is often reduced to A BINARY DECISION - RELEASE OR DETAIN`. Every fairness metric in the catalogue is defined over that binary
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
limitations[3]0.95the tagger's words
limitationsthe authors record the standing criticism of their own field without dismissing it: quantitative notions of fairness `can funnel our thinking into narrow silos where we aim to make adjustments to a decision-making process, rather than to address the structural conditions that sustain inequality in society`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
limitations[4]0.95the tagger's words
controlswhether the incompatibility is an artefact of using algorithms at all
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
eliminates: the algorithmic explanation - the trade-off 'would apply even if a human were the one making the prediction', so refusing automation does not avoid it · outcome: held
controls[0]0.95the tagger's words
controlsunder what conditions the two COMPAS criteria COULD both hold, worked out formally
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
eliminates: any hope of reconciliation in practice - it requires equal recidivism rates across racial groups, or a group that never experiences an outcome, or perfect prediction · outcome: held
controls[1]0.95the tagger's words
controlswhether formal fairness work is worth doing at all, against its own critics
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
eliminates: nothing on either side, and the paper says so: the criticisms are 'rightly pointed out', and formalism 'should not be dismissed as necessarily preserving the status quo'. Both are asserted; neither is tested · outcome: partial
controls[2]0.95the tagger's words
conceptsalgorithmic fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[0]0.95the paper's words
conceptsequal false positive rates
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[1]0.95the paper's words
conceptsequal positive predictive values
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[2]0.95the paper's words
conceptscalibration within groups
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[3]0.95the paper's words
conceptssufficiency
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
also in: sufficiency
concepts[4]0.95the paper's words
conceptsseparation
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
also in: separation
concepts[5]0.95the paper's words
conceptsbias
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
also in: bias
concepts[6]0.95the paper's words
conceptsquantitative notions of fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[7]0.95the paper's words
conceptsstructural conditions
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[8]0.95the paper's words
conceptsequality of true positive rates
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[9]0.95the paper's words
conceptsequality of false negative rates
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[10]0.95the paper's words
conceptsequal opportunity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[11]0.95the paper's words
conceptserror rate balance
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[12]0.95the paper's words
conceptsequalized odds
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[13]0.95the paper's words
conceptsequality of negative predictive value
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[14]0.95the paper's words
conceptsequality of false omission rate
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[15]0.95the paper's words
conceptsequality of positive predictive value
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[16]0.95the paper's words
conceptsequality of false discovery rate
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[17]0.95the paper's words
conceptspredictive parity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[18]0.95the paper's words
conceptsavoiding disparate mistreatment
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[19]0.95the paper's words
conceptstreatment equality
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[20]0.95the paper's words
conceptsdemographic parity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[21]0.95the paper's words
conceptsstatistical parity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[22]0.95the paper's words
conceptsgroup fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[23]0.95the paper's words
conceptsConditional demographic parity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[24]0.95the paper's words
conceptsfairness through unawareness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[25]0.95the paper's words
conceptsanticlassification
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[26]0.95the paper's words
conceptstreatment parity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[27]0.95the paper's words
conceptsmetric fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[28]0.95the paper's words
conceptsindividual fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[29]0.95the paper's words
conceptsm-Lipschitz property
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[30]0.95the paper's words
conceptsperfect metric fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[31]0.95the paper's words
conceptsindividual counterfactual fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[32]0.95the paper's words
conceptsconditional counterfactual fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[33]0.95the paper's words
conceptscounterfactual parity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concepts[34]0.95the paper's words
unhoused_relationsCalibration within groups → sufficiency
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
The paper says calibration within groups implies sufficiency, and describes a converse after applying a function to a sufficient score. Logical implication between criteria is not one of the eight edge types.
unhoused_relations[0]0.95the tagger's words
unhoused_relationsmetric fairness → unawareness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
When the metric uses only insensitive variables, the paper says metric fairness implies unawareness. Logical implication is not one of the eight edge types.
unhoused_relations[1]0.95the tagger's words
unhoused_relationsindividual counterfactual fairness → conditional counterfactual fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
The paper orders individual counterfactual fairness above conditional counterfactual fairness in strength. A stronger-than relation is not one of the eight edge types.
unhoused_relations[2]0.95the tagger's words
unhoused_relationsconditional counterfactual fairness → counterfactual parity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
The paper orders conditional counterfactual fairness above counterfactual parity in strength. A stronger-than relation is not one of the eight edge types.
unhoused_relations[3]0.95the tagger's words
sensesfairness - NOT ONE DEFINITION BUT SEVERAL FORMAL ONES, AND THE PAPER'S RESULT IS THAT THEY CANNOT ALL HOLD: `Although each flavor of fairness definition ... formalizes an intuitive notion of fairness, these definitions are not mathematically or morally compatible in general`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[0]0.95the tagger's words
senses`bias` - THE PAPER CALLS IT OVERLOADED AND GIVES THE DRIFT: `a now overloaded word that, in popular media, has come to mean that the model's performance (however defined) unjustifiably differs along social axes such as race, gender, and class`. The parenthesis is the point
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[1]0.95the tagger's words
sensesTHE COMPAS DISPUTE - two analyses of one tool, both correct. ProPublica: it `does not satisfy equal false positive rates by race`. Northpointe: it `satisfies equal positive predictive values` and calibration within groups. NEITHER SIDE MISCALCULATED. They used different definitions of the same word
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[2]0.95the tagger's words
senses`no harmony` - the paper's verdict on the attempts to reconcile them: `Much of the subsequent conversation consisted of either trying to harmonize these definitions ... or asserting that one or the other is correct. As it turns out, there can be no harmony among definitions in a world where inequality and imperfect prediction are the reality`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[3]0.95the tagger's words
sensesthe formal conditions for agreement, stated exactly: SUFFICIENCY implies equality of positive predictive values, SEPARATION implies equality of false positive rates, and both hold together only if recidivism rates and score distributions are the same across racial groups, or some group never experiences an outcome at all
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[4]0.95the tagger's words
sensesalgorithmic fairness - a name for a research field, and the paper notes the questions are older than it: `it resembles older work ... since the 1960s, psychometricians have studied the fairness of educational tests based on their ability to predict performance`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[5]0.95the tagger's words
sensesequality of true positive rates - equality across groups in the true-positive rate
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[6]0.95the tagger's words
sensesequality of false negative rates - equality across groups in the false-negative rate
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[7]0.95the tagger's words
sensesequal opportunity - the paper's name for equality of true-positive and false-negative rates considered alone
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[8]0.95the tagger's words
senseserror rate balance - Chouldechova's name for the combined outcome-conditioned fairness notions
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[9]0.95the tagger's words
sensesequalized odds - Hardt and colleagues' name for the combined outcome-conditioned fairness notions
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[10]0.95the tagger's words
sensesequality of negative predictive value - equality across groups in negative predictive value
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[11]0.95the tagger's words
sensesequality of false omission rate - equality across groups in false omission rate
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[12]0.95the tagger's words
sensesequality of positive predictive value - equality across groups in positive predictive value
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[13]0.95the tagger's words
sensesequality of false discovery rate - equality across groups in false discovery rate
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[14]0.95the tagger's words
sensespredictive parity - another name for equality of positive predictive value and false discovery rate
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[15]0.95the tagger's words
sensesavoiding disparate mistreatment - Zafar and colleagues' collective name for the four predictive-measure pairs plus equal accuracy
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[16]0.95the tagger's words
sensestreatment equality - a fairness definition based on the ratio of false negatives to false positives
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[17]0.95the tagger's words
sensesdemographic parity - equal decision rates across groups irrespective of outcome
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[18]0.95the tagger's words
sensesstatistical parity - an alternative name for demographic parity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[19]0.95the tagger's words
sensesgroup fairness - an alternative name for demographic parity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[20]0.95the tagger's words
sensesConditional demographic parity - parity within strata, expressed as conditional independence of decision and sensitive group
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[21]0.95the tagger's words
sensesfairness through unawareness - conditional demographic parity when conditioning on insensitive variables
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[22]0.95the tagger's words
sensesanticlassification - conditional demographic parity when conditioning on insensitive variables
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[23]0.95the tagger's words
sensestreatment parity - conditional demographic parity when conditioning on insensitive variables
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[24]0.95the tagger's words
sensesmetric fairness - requiring closeness under a similarity metric to imply closeness in decisions
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[25]0.95the tagger's words
sensesindividual fairness - an alternative name for metric fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[26]0.95the tagger's words
sensesm-Lipschitz property - an alternative mathematical name for metric fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[27]0.95the tagger's words
sensesperfect metric fairness - Rothblum and Yona's name for metric fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[28]0.95the tagger's words
sensesindividual counterfactual fairness - the strongest listed counterfactual criterion, requiring decision equality for every individual
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[29]0.95the tagger's words
sensesconditional counterfactual fairness - the intermediate counterfactual criterion, requiring conditional mean-decision equality
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[30]0.95the tagger's words
sensescounterfactual parity - the weakest listed counterfactual criterion, requiring population mean-decision equality
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
senses[31]0.95the tagger's words
claim_relationscontradicts → both positions in the COMPAS dispute, insofar as either claimed to be THE fairness answer - 'there can be no harmony among definitions in a world where inequality and imperfect prediction are the reality'
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
claim_relations[0]0.95the tagger's words
claim_relationsextends → the impossibility results of Kleinberg et al. and Chouldechova, restated here in one notation and set against a public case
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
claim_relations[1]0.95the tagger's words
claim_relationssupports → the psychometric literature on test fairness running back to the 1960s, named as the older form of the same question
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
claim_relations[2]0.95the tagger's words
concept_edgesequal false positive rates —distinct-from→ equal positive predictive values
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concept_edges[0]0.95the tagger's words
concept_edgesquantitative notions of fairness —contrasted-with→ structural conditions
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
concept_edges[1]0.95the tagger's words
concept_edgesequality of true positive rates —renamed-across-fields→ equal opportunity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
the relation itself is separately evidenced · strength of the relation: 1 · note: The paper reports Hardt et al.'s unhedged name for this condition. Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the span says this condition 'has been called equal opportunity' by one author; a name, and renamed-across-fields is loose.
concept_edges[2]0.95the tagger's words
concept_edgesseparation —renamed-across-fields→ error rate balance
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
the relation itself is separately evidenced · strength of the relation: 1 · note: The paper gives source-specific names for the same combined outcome-conditioned fairness notions.
concept_edges[3]0.95the tagger's words
concept_edgesseparation —renamed-across-fields→ equalized odds
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
the relation itself is separately evidenced · strength of the relation: 1 · note: The paper gives source-specific names for the same combined outcome-conditioned fairness notions.
concept_edges[4]0.95the tagger's words
concept_edgesConditional demographic parity —same-as→ separation
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
holds when: Data = Y · the relation itself is separately evidenced · strength of the relation: 1 · note: The equivalence is asserted without epistemic hedge but explicitly scoped to conditioning on outcome Y. Audit 2026-09-28: DOUBTFUL - read against its span and kept, but conditional demographic parity equals separation only when Data = Y; same-as is conditional.
concept_edges[5]0.95the tagger's words
concept_edgesConditional demographic parity —same-as→ fairness through unawareness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
holds when: Data = X (the insensitive variables) · the relation itself is separately evidenced · strength of the relation: 1 · note: The equivalence is asserted without epistemic hedge under the paper's explicit Data = X condition. Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but endpoint by anaphora: 'it' = conditional demographic parity (previous sentence); the equivalence holds only when Data = X.
concept_edges[6]0.95the tagger's words
concept_edgesConditional demographic parity —same-as→ anticlassification
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
holds when: Data = X (the insensitive variables) · the relation itself is separately evidenced · strength of the relation: 1 · note: The equivalence is asserted without epistemic hedge under the paper's explicit Data = X condition. Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but endpoint by anaphora: 'it' = conditional demographic parity (previous sentence); the equivalence holds only when Data = X.
concept_edges[7]0.95the tagger's words
concept_edgesConditional demographic parity —same-as→ treatment parity
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
holds when: Data = X (the insensitive variables) · the relation itself is separately evidenced · strength of the relation: 1 · note: The equivalence is asserted without epistemic hedge under the paper's explicit Data = X condition. Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but endpoint by anaphora: 'it' = conditional demographic parity (previous sentence); the equivalence holds only when Data = X.
concept_edges[8]0.95the tagger's words
concept_edgesmetric fairness —same-as→ individual fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
the relation itself is separately evidenced · strength of the relation: 1 · note: The paper unhedgedly says metric fairness is also known as individual fairness.
concept_edges[9]0.95the tagger's words
concept_edgesmetric fairness —same-as→ m-Lipschitz property
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
the relation itself is separately evidenced · strength of the relation: 1 · note: The paper unhedgedly gives the m-Lipschitz property as another name for metric fairness.
concept_edges[10]0.95the tagger's words
concept_edgesmetric fairness —same-as→ perfect metric fairness
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
the relation itself is separately evidenced · strength of the relation: 1 · note: The paper unhedgedly gives perfect metric fairness as another name for metric fairness.
concept_edges[11]0.95the tagger's words
content_tagsTHE FIELD'S OWN ABSTRACT DIAGNOSES IT: rapid growth has led to `wildly inconsistent motivations, terminology, and notation, presenting a serious challenge for cataloging and comparing definitions`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[0]0.95the tagger's words
content_tagsAND THE DEFINITIONS ARE NOT MERELY INCONSISTENT, THEY ARE INCOMPATIBLE: `these definitions are not mathematically or morally compatible in general`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[1]0.95the tagger's words
content_tagsProPublica found COMPAS fails equal false positive rates by race; Northpointe showed it satisfies equal positive predictive values and calibration within groups
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[2]0.95the tagger's words
content_tagsthere can be no harmony among fairness definitions where inequality and imperfect prediction are real
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[3]0.95the tagger's words
content_tagsthe two criteria can hold together only if recidivism rates and score distributions are equal across racial groups, or some group never experiences an outcome
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[4]0.95the tagger's words
content_tagsand those conditions are named as unreachable: `trivial, degenerate, or even utopian (representing two very different utopias)`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[5]0.95the tagger's words
content_tagsTHE TRADE-OFF IS NOT ABOUT ALGORITHMS: it `would apply even if a human were the one making the prediction`, and rejecting automation `is not a way to avoid these problems`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[6]0.95the tagger's words
content_tagsthe paper names the operationalisation gap in its own introduction: `gaps between mathematically convenient formalism and the larger social goals that many of these concepts were introduced to address`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[7]0.95the tagger's words
content_tagspolicy goals are `sometimes clumsily, abstracted and formulated to fit into a prediction task` before any fairness metric applies
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[8]0.95the tagger's words
content_tagsa judge's many options are often reduced in this literature to a binary decision, release or detain
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[9]0.95the tagger's words
content_tagsthe questions are older than the field's name: `since the 1960s, PSYCHOMETRICIANS have studied the fairness of educational tests based on their ability to predict performance`
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[10]0.95the tagger's words
content_tagsthe paper declines to arbitrate: `the goal ... is not to advance axiomatic definitions of fairness but to summarize` what has been formalized
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.findings[11]0.95the tagger's words
content_tagsdeclared A NOW OVERLOADED WORD which, in popular media, has come to mean that a model's performance - HOWEVER DEFINED - unjustifiably differs along social axes such as race, gender and class
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
also in: bias
content_tags.definitions[0]0.95the tagger's words
content_tagsfalse positive rates
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.statistics[0]0.95the tagger's words
content_tagspositive predictive values
Quotation withheld — this record is not cleared for redistribution. The sentence is in the paper at the link above.
content_tags.statistics[1]0.95the tagger's words

Interpretive choices

Tags that could not be placed in the text:

What was deliberately not tagged, and why, is recorded per paper by the tagger. Where a paper has no such record, this page says so rather than implying that nothing was declined.

© 2026 Shir Sivroni · ORCID 0009-0000-2597-2824