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On a Mallows-type Model for  Preference Learning From (Ranked) Choices
On a Mallows-type Model for  Preference Learning From (Ranked) Choices
On a Mallows-type Model for  Preference Learning From (Ranked) Choices
On a Mallows-type Model for  Preference Learning From (Ranked) Choices
12Jun
Information and Innovation Management, Seminar Calendar

On a Mallows-type Model for Preference Learning From (Ranked) Choices

12 June 2023 | 10:30 a.m. — 12:00 noon
KK 910, KK Leung Building, HKU
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SPEAKER

Dr. Yifan Feng
Assistant Professor
Department of Analytics & Operations, NUS Business School
National University of Singapore

ABSTRACT

In this talk, we study a preference learning setting where participants choose their top-$k$ preferred items from individualized display sets. We present a distance-based ranking model, akin to the Mallows model, using a new distance function called Reverse Major Index (RMJ). The RMJ-based ranking model allows simple closed-form expressions for (ranked) choice probabilities. As a result, it enables efficient methods to infer model parameters with provable consistency. Comprehensive numerical studies demonstrate the model’s favorable generalization power, robustness, and computational efficiency.

We also use the model to examine the relationship between feedback structure richness (represented by $k$) and feedback collection efficiency. We formulate an active preference learning problem: A company sequentially determines display sets and collects top-$k$ ranked choices from customers, aiming to find the top-ranked candidate with minimal samples. We evaluate the informational efficiency of various $k$ values using sample complexity under optimal sequential feedback collection procedures. Our results indicate that while information efficiency increases with $k$, a small value of $k=2$ is close to (and sometimes equals) the full-efficiency value.

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On a Mallows-type Model for  Preference Learning From (Ranked) Choices
About Speaker
Dr. Yifan Feng

Assistant Professor | Department of Analytics & Operations | National University of Singapore

On a Mallows-type Model for Preference Learning From (Ranked) Choices
12 June 202310:30 a.m. — 12:00 noon
KK 910, KK Leung Building, HKU
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