Research map / Learning theory and algorithms / Prediction and decision losses
Properties of the Mallows Model Depending on the Number of Alternatives: A Warning for an Experimentalist
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Increase number of alternatives m with fixed dispersion phi in classic Mallows model | Classic Mallows model · Theory (asymptotic, m→∞) | normalized expected swap distance g^swap_m(phi) | Hurt |
| Parameterize Mallows by normalized dispersion (norm-phi) instead of classic phi as m grows | Normalized Mallows model · Real-world profiles (American Football, Spotify, Tour de France) | normalized positionwise distance from ID | Helped |
| Sample profiles from classic Mallows with fixed phi and varying m | Classic Mallows model · Plurality score of winner, 100 rankings | Plurality score of Plurality winner | Mixed |
| Use classic Mallows probability of c1 ranked first asymptotically (fixed phi) | Classic Mallows model · Theory (asymptotic) | P(c1 ranked first) | No clear effect |
| Use normalized Mallows model for probability that c1 is ranked before cm | Normalized Mallows model · Theory (asymptotic) | P(c1 before cm) | No clear effect |
Closest papers by meaning
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