Re-ranking Based Diversification: A Unifying View

We analyze different re-ranking algorithms for diversification and show that majority of them are based on maximizing submodular/modular functions from the class of parameterized concave/linear over modular functions. We study the optimality of such algorithms in terms of the `total curvature'. We also show that by adjusting the hyperparameter of the concave/linear composition to trade-off relevance and diversity, if any, one is in fact tuning the `total curvature' of the function for relevance-diversity trade-off.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/27/2020

Concave Aspects of Submodular Functions

Submodular Functions are a special class of set functions, which general...
research
06/23/2020

A Parameterized Family of Meta-Submodular Functions

Submodular function maximization has found a wealth of new applications ...
research
02/10/2020

Regularized Submodular Maximization at Scale

In this paper, we propose scalable methods for maximizing a regularized ...
research
06/17/2018

Approximate Submodular Functions and Performance Guarantees

We consider the problem of maximizing non-negative non-decreasing set fu...
research
10/20/2022

Neural Estimation of Submodular Functions with Applications to Differentiable Subset Selection

Submodular functions and variants, through their ability to characterize...
research
03/20/2019

Any Finite Distributive Lattice is Isomorphic to the Minimizer Set of an M^-Concave Set Function

Submodularity is an important concept in combinatorial optimization, and...
research
01/17/2023

Ranking with submodular functions on the fly

Maximizing submodular functions have been studied extensively for a wide...

Please sign up or login with your details

Forgot password? Click here to reset