Learning trivializing flows

Albandea, David; Debbio, Luigi del; Hernández, Pilar; Kenway, R.D.; Rossney, Joe Marsh; Ramos, Alberto

doi:10.48550/arxiv.2211.12806

Cited by 3 publications

(3 citation statements)

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“…In the initial proposal, the Wilson flow was proposed [64]. Alternative approaches to design such maps are motivated by the Schwinger-Dyson equation [65] or by combination with normalizing flows [66,67].…”

Section: Pos(lattice2022)227mentioning

confidence: 99%

Review on Algorithms for dynamical fermions

Finkenrath¹

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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This review discusses the current and next steps in research of algorithms for dynamical fermions in large scale lattice QCD simulations. First a short overview on the state-of-the-art of ensemble generation at the physical point is given. Followed by an overview on required steps towards simulation of large lattices for the Hybrid Monte Carlo algorithm. Here, in particular, the status of iterative solvers and tuning procedures for numerical integrators within the molecular dynamics are discussed. This is followed by a review on the on-going developments for algorithms, with a focus on methods which are potentially useful to simulate gauge theories at very fine lattice spacings, i.e. well suited to overcome freezing of the topological charge. This includes modification of the HMC algorithm as well as a discussion of algorithms which includes the fermion weight via global correction steps. Parts of the discussions are on the application of generative models via gauge equivariant flows as well as multi-level algorithms.

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Section: Pos(lattice2022)227mentioning

confidence: 99%

Review on Algorithms for dynamical fermions

Finkenrath¹

2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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“…There have been many attempts to overcome the critical slowing down [2][3][4][5][6][7][8][9][10][11][12][13], and recent studies are presented thoroughly at the conference [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. We in this work concentrate on developing the idea of the trivializing map proposed by Lüscher [7] (cf.…”

Section: Introductionmentioning

confidence: 99%

Use of Schwinger-Dyson equation in constructing an approximate trivializing map

Matsumoto¹,

Boyle²,

Izubuchi³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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We construct an approximate trivializing map by using a Schwinger-Dyson equation. The advantage of this method is that: (1) The basis for the flow kernel can be chosen arbitrarily by hand. (2) It can be applied to the general action of interest. (3) The coefficients in the kernel are determined by lattice estimates of the observables, which does not require analytic calculations beforehand. We perform the HMC with the effective action obtained by the Schwinger-Dyson method, and show that we can have better control of the effective action than the known 𝑡-expansion construction. However, the algorithmic overhead is still large and overwhelming the gain though faster decorrelation is observed for long-range observables in some cases. This contribution reports the preliminary results of this attempt.

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“…Using normalizing flows for sampling in lattice field theory has gained significant attention over the last few years. Several works have been carried out in the domain of scalar field theories [1][2][3][4][5][6][7][8][9][10], U (1) [11,12] and SU (N ) [13][14][15] pure gauge theories, and fermionic gauge theories [16,17]. This rapid development is attributed to the appealing conceptual properties of flow-based sampling.…”

Section: Introductionmentioning

confidence: 99%