Taming the curse of dimensionality: Discrete integration by hashing and optimization

S Ermon, C Gomes, A Sabharwal… - … on Machine Learning, 2013 - proceedings.mlr.press
Integration is affected by the curse of dimensionality and quickly becomes intractable as the
dimensionality of the problem grows. We propose a randomized algorithm that, with high …

Embed and project: Discrete sampling with universal hashing

S Ermon, CP Gomes, A Sabharwal… - Advances in Neural …, 2013 - proceedings.neurips.cc
We consider the problem of sampling from a probability distribution defined over a high-
dimensional discrete set, specified for instance by a graphical model. We propose a …

Deep attentive belief propagation: Integrating reasoning and learning for solving constraint optimization problems

Y Deng, S Kong, C Liu, B An - Advances in Neural …, 2022 - proceedings.neurips.cc
Belief Propagation (BP) is an important message-passing algorithm for various reasoning
tasks over graphical models, including solving the Constraint Optimization Problems …

Approximate counting in SMT and value estimation for probabilistic programs

D Chistikov, R Dimitrova, R Majumdar - Acta Informatica, 2017 - Springer
Abstract# SMT, or model counting for logical theories, is a well-known hard problem that
generalizes such tasks as counting the number of satisfying assignments to a Boolean …

Optimization with parity constraints: From binary codes to discrete integration

S Ermon, CP Gomes, A Sabharwal… - arXiv preprint arXiv …, 2013 - arxiv.org
Many probabilistic inference tasks involve summations over exponentially large sets.
Recently, it has been shown that these problems can be reduced to solving a polynomial …

Learning value heuristics for constraint programming

G Chu, PJ Stuckey - Integration of AI and OR Techniques in Constraint …, 2015 - Springer
Search heuristics are of paramount importance for finding good solutions to optimization
problems quickly. Manually designing problem specific search heuristics is a time …

Protein side chain conformation predictions with an MMGBSA energy function

T Gaillard, N Panel, T Simonson - Proteins: Structure, Function …, 2016 - Wiley Online Library
The prediction of protein side chain conformations from backbone coordinates is an
important task in structural biology, with applications in structure prediction and protein …

[PDF][PDF] Stochastic Integration via Error-Correcting Codes.

D Achlioptas, P Jiang - UAI, 2015 - auai.org
We consider the task of summing a non-negative function f over a discrete set Ω, eg, to
compute the partition function of a graphical model. Ermon et al. have shown that in a …

MiniBrass: soft constraints for MiniZinc

A Schiendorfer, A Knapp, G Anders, W Reif - Constraints, 2018 - Springer
Over-constrained problems are ubiquitous in real-world decision and optimization problems.
Plenty of modeling formalisms for various problem domains involving soft constraints have …

Fast gap‐free enumeration of conformations and sequences for protein design

KE Roberts, P Gainza, MA Hallen… - … Structure, Function, and …, 2015 - Wiley Online Library
Despite significant successes in structure‐based computational protein design in recent
years, protein design algorithms must be improved to increase the biological accuracy of …