Search Results for author: Helmut G. Katzgraber

Found 12 papers, 3 papers with code

Explainable AI using expressive Boolean formulas

no code implementations6 Jun 2023 Gili Rosenberg, J. Kyle Brubaker, Martin J. A. Schuetz, Grant Salton, Zhihuai Zhu, Elton Yechao Zhu, Serdar Kadıoğlu, Sima E. Borujeni, Helmut G. Katzgraber

We combine the expressivity and efficiency of the native local optimizer with the fast operation of these devices by executing non-local moves that optimize over subtrees of the full Boolean formula.

Benchmarking Explainable Artificial Intelligence (XAI) +1

Reply to: Inability of a graph neural network heuristic to outperform greedy algorithms in solving combinatorial optimization problems

no code implementations3 Feb 2023 Martin J. A. Schuetz, J. Kyle Brubaker, Helmut G. Katzgraber

We provide a comprehensive reply to the comment written by Stefan Boettcher [arXiv:2210. 00623] and argue that the comment singles out one particular non-representative example problem, entirely focusing on the maximum cut problem (MaxCut) on sparse graphs, for which greedy algorithms are expected to perform well.

Anatomy Combinatorial Optimization

Reply to: Modern graph neural networks do worse than classical greedy algorithms in solving combinatorial optimization problems like maximum independent set

no code implementations3 Feb 2023 Martin J. A. Schuetz, J. Kyle Brubaker, Helmut G. Katzgraber

Conversely, we highlight the broader algorithmic development underlying our original work, and (within our original framework) provide additional numerical results showing sizable improvements over our original results, thereby refuting the comment's performance statements.

Anatomy Combinatorial Optimization

Optimization and benchmarking of the thermal cycling algorithm

no code implementations17 Dec 2020 Amin Barzegar, Anuj Kankani, Salvatore Mandrà, Helmut G. Katzgraber

Optimization plays a significant role in many areas of science and technology.

Disordered Systems and Neural Networks Quantum Physics

Computational Overhead of Locality Reduction in Binary Optimization Problems

no code implementations17 Dec 2020 Elisabetta Valiante, Maritza Hernandez, Amin Barzegar, Helmut G. Katzgraber

As such, physics-inspired techniques -- commonly used in fundamental physics studies -- are ideally suited to solve optimization problems in a binary format.

Quantum Physics

Chook -- A comprehensive suite for generating binary optimization problems with planted solutions

1 code implementation28 May 2020 Dilina Perera, Inimfon Akpabio, Firas Hamze, Salvatore Mandra, Nathan Rose, Maliheh Aramon, Helmut G. Katzgraber

We present Chook, an open-source Python-based tool to generate discrete optimization problems of tunable complexity with a priori known solutions.

Quantum Physics Disordered Systems and Neural Networks Other Computer Science

Perspectives of quantum annealing: Methods and implementations

no code implementations15 Mar 2019 Philipp Hauke, Helmut G. Katzgraber, Wolfgang Lechner, Hidetoshi Nishimori, William D. Oliver

Quantum annealing is a computing paradigm that has the ambitious goal of efficiently solving large-scale combinatorial optimization problems of practical importance.

Quantum Physics

Evolutionary Approaches to Optimization Problems in Chimera Topologies

no code implementations17 Aug 2016 Roberto Santana, Zheng Zhu, Helmut G. Katzgraber

In this paper we investigate for the first time the use of Evolutionary Algorithms (EAs) on Ising spin glass instances defined on the Chimera topology.

Evolutionary Algorithms

A probabilistic evolutionary optimization approach to compute quasiparticle braids

no code implementations2 Oct 2014 Roberto Santana, Ross B. McDonald, Helmut G. Katzgraber

Topological quantum computing is an alternative framework for avoiding the quantum decoherence problem in quantum computation.

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