αf ′(x; d). 3 epi h ✏1epi h d (h✏1)(d) h(d) f ′(x; 0) = 0 is obvious from definition. From convexity, 1 2 f ′(x; d) + 1 2 f ′(x;−d) ≥ f ′ ( x; d 2 − d 2 ) = 0 which gives the final claim. 3.3 An Alternative [...] Since K◦◦ = K, the support function of K◦ is the indicator of K. Theorem 13 ([HUL96], Theorem V.3.3.3 (i)) Let σ1 and σ2 be the support functions of the nonempty closed convex sets S1 and S2. For positive [...] why we need this notion, imagine a “flat” filled circle in R3 as for our convex set C. The interior of C is empty, since C does not contain any 3-D ball centered at a point from C. The affine hull affC is …

αf ′(x; d). 3 epi h ✏1epi h d (h✏1)(d) h(d) f ′(x; 0) = 0 is obvious from definition. From convexity, 1 2 f ′(x; d) + 1 2 f ′(x;−d) ≥ f ′ ( x; d 2 − d 2 ) = 0 which gives the final claim. 3.3 An Alternative [...] Since K◦◦ = K, the support function of K◦ is the indicator of K. Theorem 13 ([HUL96], Theorem V.3.3.3 (i)) Let σ1 and σ2 be the support functions of the nonempty closed convex sets S1 and S2. For positive [...] why we need this notion, imagine a “flat” filled circle in R3 as for our convex set C. The interior of C is empty, since C does not contain any 3-D ball centered at a point from C. The affine hull affC is …

Diplomarbeit - Lehrstuhl 3 - Fakultät für Informatik - TU Dortmund

Diplomarbeit - Lehrstuhl 3 - Fakultät für Informatik - TU Dortmund Sprungmarken zum Hauptinhalt zum Nebeninhalt zur Hauptnavigation zur Bereichsnavigation zur Servicenavigation Servicenavigation English [...] Lehre Mitarbeiter Publikationen Intern Sie sind hier: TU Dortmund > Fakultät für Informatik > Lehrstuhl 3 > Lehre > Abschlussarbeiten > Abgeschlossene Arbeiten > Diplomarbeit Bereichsnavigation Lehre + Abs [...] Daten mit den Daten stationärer Sensoren kombiniert; die Verkehrsanalyse erfolgt vollautomatisch [1]) [3]. Zur flächendeckenden Bereitstellung von Verkehrsinformationen wird allerdings eine große Fahrzeugflotte …

Two-Sided Fairness for Repeated Matchings in Two-Sided Markets: A Case Study of a Ride-Hailing Platf

Platforms 2.2 Fairness in Matching Markets 3 Fairness of Repeated Matchings 3.1 Notation 3.2 Modeling Utility for Both Sides 3.3 Other Assumptions 3.4 Parity Fairness 3.5 Proportional Fairness 4 Inequality of [...] 575 % Median Dist. to Driver Passengers 1.022 3.930 3.943 1.062 1.327 0.994 0.981 0.980 Median Dist. to Driver Passengers vs. NDF — +284.540 % +285.812 % +3.914 % +29.843 % -2.740 % -4.012% -4.110 % GE(2) [...] this paper, we establish different notions of fairness for ride hailing platforms. 2 3 FAIRNESS OF REPEATED MATCHINGS 3.1 Notation We model a ride-hailing system with two sides (i.e., two groups of users): …

Two-Sided Fairness for Repeated Matchings in Two-Sided Markets: A Case Study of a Ride-Hailing Platf

Platforms 2.2 Fairness in Matching Markets 3 Fairness of Repeated Matchings 3.1 Notation 3.2 Modeling Utility for Both Sides 3.3 Other Assumptions 3.4 Parity Fairness 3.5 Proportional Fairness 4 Inequality of [...] 575 % Median Dist. to Driver Passengers 1.022 3.930 3.943 1.062 1.327 0.994 0.981 0.980 Median Dist. to Driver Passengers vs. NDF — +284.540 % +285.812 % +3.914 % +29.843 % -2.740 % -4.012% -4.110 % GE(2) [...] this paper, we establish different notions of fairness for ride hailing platforms. 2 3 FAIRNESS OF REPEATED MATCHINGS 3.1 Notation We model a ride-hailing system with two sides (i.e., two groups of users): …

Measuring Non-Expert Comprehension of Machine Learning Fairness Metrics

of Sample Census Study-1 Study-2 Ethnicity AI or AN 0.7 0.7 0.9 Asian or NH or PI 5.7 1.4 2.3 Black or AA 12.3 10.2 15.8 Hispanic or Latinx 18.1 12.2 7.7 Other 2.6 2.7 1.4 White 60.6 72.8 71.9 Education [...] HS or equivalent 27.7 29.9 24.9 Some post-secondary 30.8 30.6 24.9 Bachelor’s and above 29.4 33.3 42.7 3.2. Study-2 Study-2 follows a very similar structure to Study-1 with a few changes. First, we decided [...] receive job offers. 3.2.2. RECRUITMENT AND PARTICIPANTS We again used the Cint service to recruit participants. Com- pensation for participation was handled in the same manner as described in §3.1.2. Because …

Measuring Non-Expert Comprehension of Machine Learning Fairness Metrics

of Sample Census Study-1 Study-2 Ethnicity AI or AN 0.7 0.7 0.9 Asian or NH or PI 5.7 1.4 2.3 Black or AA 12.3 10.2 15.8 Hispanic or Latinx 18.1 12.2 7.7 Other 2.6 2.7 1.4 White 60.6 72.8 71.9 Education [...] HS or equivalent 27.7 29.9 24.9 Some post-secondary 30.8 30.6 24.9 Bachelor’s and above 29.4 33.3 42.7 3.2. Study-2 Study-2 follows a very similar structure to Study-1 with a few changes. First, we decided [...] receive job offers. 3.2.2. RECRUITMENT AND PARTICIPANTS We again used the Cint service to recruit participants. Com- pensation for participation was handled in the same manner as described in §3.1.2. Because …