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We use reinforcement learning as a means of constructing string compactifications with prescribed properties. Specifically, we study heterotic SO(10) GUT models on Calabi-Yau three-folds with monad bundles, in search of phenomenologically…

High Energy Physics - Theory · Physics 2022-03-23 Andrei Constantin , Thomas R. Harvey , Andre Lukas

We briefly review the recent programme to construct, systematically and algorithmically, large classes of heterotic vacua, as well as the search for the MSSM therein. Specifically, we outline the monad construction of vector bundles over…

High Energy Physics - Theory · Physics 2015-05-18 Yang-Hui He

We undertake a systematic scan of vector bundles over spaces from the largest database of known Calabi-Yau three-folds, in the context of heterotic string compactification. Specifically, we construct positive rank five monad bundles over…

High Energy Physics - Theory · Physics 2015-05-30 Yang-Hui He , Maximilian Kreuzer , Seung-Joo Lee , Andre Lukas

We approach string phenomenology from the perspective of computational algebraic geometry, by providing new and efficient techniques for proving stability and calculating particle spectra in heterotic compactifications. This is done in the…

High Energy Physics - Theory · Physics 2009-04-22 Lara B. Anderson , Yang-Hui He , Andre Lukas

We apply deep-learning techniques to the string landscape, in particular, $SO(32)$ heterotic string theory on simply-connected Calabi-Yau threefolds with line bundles. It turns out that three-generation models cluster in particular islands…

High Energy Physics - Theory · Physics 2020-05-13 Hajime Otsuka , Kenta Takemoto

We apply reinforcement learning (RL) to generate fine regular star triangulations of reflexive polytopes, that give rise to smooth Calabi-Yau (CY) hypersurfaces. We demonstrate that, by simple modifications to the data encoding and reward…

High Energy Physics - Theory · Physics 2024-06-17 Per Berglund , Giorgi Butbaia , Yang-Hui He , Elli Heyes , Edward Hirst , Vishnu Jejjala

We implement Genetic Algorithms for triangulations of four-dimensional reflexive polytopes which induce Calabi-Yau threefold hypersurfaces via Batyrev's construction. We demonstrate that such algorithms efficiently optimize physical…

High Energy Physics - Theory · Physics 2025-10-29 Nate MacFadden , Andreas Schachner , Elijah Sheridan

Supervised machine learning can be used to predict properties of string geometries with previously unknown features. Using the complete intersection Calabi-Yau (CICY) threefold dataset as a theoretical laboratory for this investigation, we…

High Energy Physics - Theory · Physics 2019-07-10 Kieran Bull , Yang-Hui He , Vishnu Jejjala , Challenger Mishra

Model-based Bayesian reinforcement learning has generated significant interest in the AI community as it provides an elegant solution to the optimal exploration-exploitation tradeoff in classical reinforcement learning. Unfortunately, the…

Artificial Intelligence · Computer Science 2012-06-18 Stephane Ross , Joelle Pineau

In this paper, we employ genetic algorithms to explore the landscape of type IIB flux vacua. We show that genetic algorithms can efficiently scan the landscape for viable solutions satisfying various criteria. More specifically, we consider…

High Energy Physics - Theory · Physics 2020-01-08 Alex Cole , Andreas Schachner , Gary Shiu

We briefly review an algorithmic strategy to explore the landscape of heterotic E8 \times E8 vacua, in the context of compactifying smooth Calabi-Yau three-folds with vector bundles. The Calabi-Yau three-folds are algebraically realised as…

High Energy Physics - Theory · Physics 2011-05-18 Seung-Joo Lee

This paper proposes a new algorithm, referred to as GMAB, that combines concepts from the reinforcement learning domain of multi-armed bandits and random search strategies from the domain of genetic algorithms to solve discrete stochastic…

Neural and Evolutionary Computing · Computer Science 2023-02-16 Deniz Preil , Michael Krapp

In this paper we present a construction of stable bundles on Calabi-Yau threefolds using the method of bundle extensions. This construction applies to any given Calabi-Yau threefold with h^{1,1}>1. We give examples of stable bundles of rank…

Algebraic Geometry · Mathematics 2011-11-07 Bjorn Andreas , Norbert Hoffmann

With the development of deep learning techniques, supervised learning has achieved performances surpassing those of humans. Researchers have designed numerous corresponding models for different data modalities, achieving excellent results…

Artificial Intelligence · Computer Science 2023-08-29 Qiang Li , Qiuyang Ma , Weizhi Nie , Anan Liu

The organising principles underlying the structure of phenomenologically viable string vacua can be accessed by sampling such vacua. In many cases this is prohibited by the computational cost of standard sampling methods in the high…

High Energy Physics - Theory · Physics 2021-07-12 Sven Krippendorf , Rene Kroepsch , Marc Syvaeri

The string theory landscape may include a multitude of ultraviolet embeddings of the Standard Model, but identifying these has proven difficult due to the enormous number of available string compactifications. Genetic Algorithms (GAs)…

High Energy Physics - Theory · Physics 2023-06-07 Steve Abel , Andrei Constantin , Thomas R. Harvey , Andre Lukas , Luca A. Nutricati

We systematically approach the construction of heterotic E_8 X E_8 Calabi-Yau models, based on compact Calabi-Yau three-folds arising from toric geometry and vector bundles on these manifolds. We focus on a simple class of 101 such…

High Energy Physics - Theory · Physics 2010-05-28 Yang-Hui He , Seung-Joo Lee , Andre Lukas

This thesis contributes with a number of topics to the subject of string compactifications. In the first half of the work, I discuss the Hodge plot of Calabi-Yau threefolds realised as hypersurfaces in toric varieties. The intricate…

High Energy Physics - Theory · Physics 2018-09-28 Andrei Constantin

The purpose of this paper is to use reinforcement learning to model learning agents which can recognize formal languages. Agents are modeled as simple multi-head automaton, a new model of finite automaton that uses multiple heads, and six…

Machine Learning · Computer Science 2020-10-21 Alper Şekerci , Özlem Salehi

Achieving robust performance is crucial when applying deep reinforcement learning (RL) in safety critical systems. Some of the state of the art approaches try to address the problem with adversarial agents, but these agents often require…

Machine Learning · Computer Science 2022-02-18 Yeeho Song , Jeff Schneider
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