Optimization over the Boolean hypercube via sums of nonnegative circuit polynomials
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Publication:2143214
DOI10.1007/s10208-021-09496-xOpenAlexW3142079985MaRDI QIDQ2143214
Mareike Dressler, Timo de Wolff, Adam Kurpisz
Publication date: 31 May 2022
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10208-021-09496-x
Analysis of algorithms and problem complexity (68Q25) Boolean programming (90C09) Semialgebraic sets and related spaces (14P10)
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Cites Work
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- Amoebas, nonnegative polynomials and sums of squares supported on circuits
- Relative entropy optimization and its applications
- Forms derived from the arithmetic-geometric inequality
- Geometric algorithms and combinatorial optimization
- An unbounded sum-of-squares hierarchy integrality gap for a polynomially solvable problem
- Sum-of-squares hierarchy lower bounds for symmetric formulations
- High degree sum of squares proofs, Bienstock-Zuckerberg hierarchy and CG cuts
- There are significantly more nonnegative polynomials than sums of squares
- Global Optimization with Polynomials and the Problem of Moments
- Lectures on Modern Convex Optimization
- Approximation of the Stability Number of a Graph via Copositive Programming
- Convex Relaxations and Integrality Gaps
- Sum-of-squares Lower Bounds for Planted Clique
- Dictionary Learning and Tensor Decomposition via the Sum-of-Squares Method
- Lower Bounds on the Size of Semidefinite Programming Relaxations
- On the Hardest Problem Formulations for the 0/1 Lasserre Hierarchy
- Subexponential Algorithms for Unique Games and Related Problems
- Improved Approximation Guarantees through Higher Levels of SDP Hierarchies
- Robust Algorithms for on Minor-Free Graphs Based on the Sherali-Adams Hierarchy
- Class of global minimum bounds of polynomial functions
- Polynomial algorithms in linear programming
- On the Shannon capacity of a graph
- Lectures on Polytopes
- Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
- Sum-of-squares proofs and the quest toward optimal algorithms
- A Nearly Tight Sum-of-Squares Lower Bound for the Planted Clique Problem
- SOS Is Not Obviously Automatizable, Even Approximately
- Sum of squares lower bounds for refuting any CSP
- On the Bit Complexity of Sum-of-Squares Proofs
- MaxMin allocation via degree lower-bounded arborescences
- Robust moment estimation and improved clustering via sum of squares
- Ideals, Varieties, and Algorithms
- Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors
- A Positivstellensatz for Sums of Nonnegative Circuit Polynomials
- Computation of the Lasserre Ranks of Some Polytopes
- Rounding Semidefinite Programming Hierarchies via Global Correlation
- Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Graph Partitioning and Quadratic Integer Programming with PSD Objectives
- A Comparison of the Sherali-Adams, Lovász-Schrijver, and Lasserre Relaxations for 0–1 Programming
- Lower Bound for the Number of Iterations in Semidefinite Hierarchies for the Cut Polytope
- How to Sell Hyperedges: The Hypermatching Assignment Problem
- Expander flows, geometric embeddings and graph partitioning
- Complexity of Positivstellensatz proofs for the knapsack
- Complexity of Null- and Positivstellensatz proofs
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