Fast Exhaustive Search for Quadratic Systems in $$\mathbb {F}_{2}$$ on FPGAs

This paper presents a novel fast Fourier transform (FFT)-based exhaustive search method extended to off-grid translational and rotational degrees of freedom. The method combines the advantages of the FFT-based exhaustive search, which samples all the conformations of a system under study on a grid, with a local optimization technique that guarantees to find the nearest optimal off-grid conformation. The method is demonstrated on a fitting problem and can be readily applied to a docking problem. The algorithm first samples a scoring function on a six-dimensional grid of sizeN6using the FFT. This operation has an asymptotic complexity ofO(N6logN). Then, the method performs the off-grid search using a local quadratic approximation of the cost function and the trust-region optimization algorithm. The computation of the quadratic approximation is also accelerated by FFT at the same additional asymptotic cost ofO(N6logN). The method is demonstrated by fitting atomic protein models into several simulated and experimental maps from cryo-electron microscopy. The method is available at https://team.inria.fr/nano-d/software/offgridfit.

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Maximum Clique Exhaustive Search in Circulant k-Hypergraphs

Lecture Notes in Computer Science - Combinatorial Algorithms ◽

10.1007/978-3-030-25005-8_31 ◽

2019 ◽

pp. 378-392 ◽

Cited By ~ 1

Author(s):

Lachlan Plant ◽

Lucia Moura

Keyword(s):

Maximum Clique ◽

Exhaustive Search

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Gender, Age, Race and Lactose Intolerance: Is There Evidence to Support a Differential Symptom Response? A Scoping Review

Nutrients ◽

10.3390/nu10121956 ◽

2018 ◽

Vol 10 (12) ◽

pp. 1956 ◽

Cited By ~ 7

Author(s):

Rebecca Lapides ◽

Dennis Savaiano

Keyword(s):

Body Size ◽

Scoping Review ◽

Lactose Intolerance ◽

The Elderly ◽

Genetic Differences ◽

Exhaustive Search ◽

Google Scholar ◽

Racial Groups ◽

Symptom Response ◽

The Relationship

Research evaluating the relationship between lactose intolerance (LI) symptoms and age, gender and race is reviewed. An exhaustive search was conducted on the Google Scholar and PubMed databases. The evidence suggests that women, the elderly or specific racial groups are not more susceptible to LI, but rather dose, body size and genetic differences in lactase non-persistence (LNP) are the primary drivers of intolerance symptoms.

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On algebraic approach in quadratic systems

10.1063/1.3046248 ◽

2008 ◽

Author(s):

Matej Mencinger ◽

Marko Robnik ◽

Valery Romanovski

Keyword(s):

Algebraic Approach ◽

Quadratic Systems

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