Parameter learning for log-supermodular distributions

T Shpakova, F Bach - Advances in Neural Information …, 2016 - proceedings.neurips.cc
We consider log-supermodular models on binary variables, which are probabilistic models
with negative log-densities which are submodular. These models provide probabilistic …

Scalable variational inference in log-supermodular models

J Djolonga, A Krause - International Conference on Machine …, 2015 - proceedings.mlr.press
We consider the problem of approximate Bayesian inference in log-supermodular models.
These models encompass regular pairwise MRFs with binary variables, but allow to capture …

From map to marginals: Variational inference in bayesian submodular models

J Djolonga, A Krause - Advances in Neural Information …, 2014 - proceedings.neurips.cc
Submodular optimization has found many applications in machine learning and beyond. We
carry out the first systematic investigation of inference in probabilistic models defined …

Sampling from probabilistic submodular models

A Gotovos, H Hassani, A Krause - Advances in Neural …, 2015 - proceedings.neurips.cc
Submodular and supermodular functions have found wide applicability in machine learning,
capturing notions such as diversity and regularity, respectively. These notions have deep …

Learning with submodular functions: A convex optimization perspective

F Bach - Foundations and Trends® in machine learning, 2013 - nowpublishers.com
Submodular functions are relevant to machine learning for at least two reasons:(1) some
problems may be expressed directly as the optimization of submodular functions and (2) the …

Provable variational inference for constrained log-submodular models

J Djolonga, S Jegelka, A Krause - Advances in Neural …, 2018 - proceedings.neurips.cc
Submodular maximization problems appear in several areas of machine learning and data
science, as many useful modelling concepts such as diversity and coverage satisfy this …

Learning submodular losses with the Lovász hinge

J Yu, M Blaschko - International Conference on Machine …, 2015 - proceedings.mlr.press
Learning with non-modular losses is an important problem when sets of predictions are
made simultaneously. The main tools for constructing convex surrogate loss functions for set …

Stochastic submodular maximization: The case of coverage functions

M Karimi, M Lucic, H Hassani… - Advances in Neural …, 2017 - proceedings.neurips.cc
Stochastic optimization of continuous objectives is at the heart of modern machine learning.
However, many important problems are of discrete nature and often involve submodular …

A memoization framework for scaling submodular optimization to large scale problems

R Iyer, J Bilmes - The 22nd International Conference on …, 2019 - proceedings.mlr.press
We are motivated by large scale submodular optimization problems, where standard
algorithms, which treat the submodular functions in the value oracle model, do not scale. In …

Distributionally robust submodular maximization

M Staib, B Wilder, S Jegelka - The 22nd International …, 2019 - proceedings.mlr.press
Submodular functions have applications throughout machine learning, but in many settings,
we do not have direct access to the underlying function f. We focus on stochastic functions …