arXiv Machine Learning

Proportionality in Ranking Compression

arXiv AI
Sep 28

Proportional Representation in Temporal Voting with Ranked Preferences

The paper investigates proportional representation in a temporal voting setting where a single candidate is chosen each round and voters submit ranked preferences that may evolve over time. It extends classic proportionality axioms—justified representation (JR), proportional JR (PJR), extended JR (EJR), and proportionality for solid coalitions (PSC)—to accommodate various ways of determining which top-ranked candidates are considered approved, ranging from a fixed common cutoff to individual, round‑specific cutoffs. The authors analyze which axioms can be guaranteed under different informational assumptions about future rounds, showing that while EJR is unattainable, JR, PJR, and PSC can be achieved with a fixed cutoff if all preferences are known in advance; varying cutoffs reduce guarantees, yet PJR can still be achieved efficiently for groups that agree in every round, and PSC can be satisfied without future knowledge. They also demonstrate that checking these axioms is often coNP‑complete, though some stronger axioms may be easier to verify.

By Noam Hazon, Leora Schmerler, Nicholas Teh
arXiv AI
Jun 4

Curated Synthetic Data Doesn't Have to Collapse: A Theoretical Study of Generative Retraining with Pluralistic Preferences

arXiv:2605. 07724v2 Announce Type: replace-cross Abstract: Recursive retraining of generative models poses a critical representation challenge: when synthetic outputs are curated based on a fixed reward signal, the model tends to collapse onto a narrow set of outputs that over-optimize that objective.

By Ali Falahati, Mohammad Mohammadi Amiri, Kate Larson, Lukasz Golab
arXiv Machine Learning
Aug 17

What preferences can - and cannot - predict in multi-agent online learning

arXiv:2608. 13810v1 Announce Type: cross Abstract: We examine the interplay between ordinal, preference-based solution concepts in games and the long-run behavior of game dynamics, asking in particular to what extent the combinatorial data of a game -- its preference graph -- determine the outcomes of no-regret learning dynamics -- such as follow-the-regularized-leader (FTRL).

By Omar Abbadi, Rida Laraki, Panayotis Mertikopoulos
arXiv Machine Learning
Jul 14

Nonlinear Axiomatic Attribution for Cooperative Games

arXiv:2607. 09869v1 Announce Type: new Abstract: The Shapley value is a widely used concept in attribution problems, as it uniquely satisfies the axioms of linearity, consistency, equal treatment, and efficiency.

By Weida Li, Zhuanghua Liu, Yaoliang Yu, Bryan Kian Hsiang Low
arXiv AI
Sep 10

Improving Randomized Metric Distortion to 2.1441

The paper announces an improved upper bound on the distortion of randomized voting rules in metric social choice, reducing it from the previous range of $[2.1126,2.5]$ to $2.1441$. It introduces the concept of random-size stable lotteries, proves their existence, and derives the new bound via a potential argument. The proofs were generated with GPT-5.6-Sol and subsequently verified and simplified by the author.

By Nisarg Shah