Effects of radiation, curvature, and preferential diffusion on the extinction of laminar non-premixed flames by Yushan Gao, Wang Han, Zheng Chen, Qingfei Fu, Lijun Yang

“…The combined effects of radiative heat loss, curvature, and preferential diffusion on laminar non-premixed flames (or flamelets) are investigated in this work by using asymptotic analysis. A general theoretical description of flame temperature and extinction is derived for curved flames with non-unity Lewis numbers and radiative heat loss. …”
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An online optimization approach for multi-agent tracking of dynamic parameters in the presence of adversarial noise by Shahrampour, Shahin, Jadbabaie-Moghadam, Ali

“…We then propose a decentralized version of the Mirror Descent algorithm and provide the non-asymptotic analysis of the problem. Using the notion of dynamic regret, we measure the performance of our algorithm versus its offline counterpart in the centralized setting. …”
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Scaling limits of random plane partitions and six-vertex models by Dimitrov, Evgeni (Evgeni Simeonov)

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Dynamic Clustering Algorithms via Small-Variance Analysis of Markov Chain Mixture Models by Campbell, Trevor David, Kulis, Brian, How, Jonathan P

“…A recently developed methodology in this field is small-variance asymptotic analysis, a mathematical technique for deriving learning algorithms that capture much of the flexibility of Bayesian nonparametric inference algorithms, but are simpler to implement and less computationally expensive. …”
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Optimal criteria and their asymptotic form for data selection in data-driven reduced-order modelling with Gaussian process regression by Sapsis, Themistoklis P., Blanchard, Antoine

“…We combine results from GPR theory and asymptotic analysis to derive a computable form of the defined optimality criterion that is valid in the limit of small predictive variance. …”
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Tilted biorthogonal ensembles, Grothendieck random partitions, and determinantal tests by Gavrilova, Svetlana, Petrov, Leonid

“…This identification expresses the correlation functions of Grothendieck measures through sums of Fredholm determinants, which are not immediately suitable for asymptotic analysis. A more direct approach allows us to obtain a limit shape result for the Grothendieck random partitions. …”
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Towards verifiable adaptive control for safety critical applications by Schwager, Mac

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Multi-robot monitoring in dynamic environments with guaranteed currency of observations by Smith, Stephen L., Rus, Daniela L.

“…We also provide a single robot lower bound which holds outside of the asymptotic regime, and present a heuristic algorithm motivated by our asymptotic analysis.…”
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Log-Gamma Polymer Free Energy Fluctuations via a Fredholm Determinant Identity by Borodin, Alexei, Corwin, Ivan, Remenik, Daniel

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DetH*: Approximate Hierarchical Solution of Large Markov Decision Processes by Barry, Jennifer, Kaelbling, Leslie P., Lozano-Perez, Tomas

“…We provide a bound on the quality of the solutions and give asymptotic analysis of the runtimes; in addition we demonstrate performance on a collection of very large domains. …”
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Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension by Borodin, Alexei, Corwin, Ivan, Ferrari, Patrik

“…We consider two models for directed polymers in space-time independent random media (the O'Connell-Yor semidiscrete directed polymer and the continuum directed random polymer) at positive temperature and prove their KPZ universality via asymptotic analysis of exact Fredholm determinant formulas for the Laplace transform of their partition functions. …”
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A modular framework for centrality and clustering in complex networks by Oggier, Frederique, Phetsouvanh, Silivanxay, Datta, Anwitaman

“…Our principal contributions include (1) a generalized model of Markov entropic centrality with the flexibility to tune the importance of node degrees, edge weights and directions, with a closed-form asymptotic analysis, which (2) leads to a novel two-stage graph clustering algorithm. …”
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Merging ring-structured overlay indices : toward network-data transparency by Datta, Anwitaman

“…We introduce interesting new metrics to evaluate the merger process and carry out asymptotic analysis for estimating the same, besides conducting simulation experiments to validate the theory as well as measure other aspects of the overlays’ performance under merger.…”
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Analysis of complete contacts subject to fatigue by Flicek, R

“…First, because fretting failures almost invariably initiate from the edge of contact, a detailed understanding of the conditions in this region should enable more accurate assessments of fatigue performance to be made. Thus, an asymptotic analysis is presented, which provides an accurate description of the contact edge under many conditions. …”

Reliable automatic model reduction combining a posteriori error analysis and a posteriori model reduction by Ambuehl, A

“…In particular, I can show with that example that the reduced models which were automatically generated correspond to those obtained by asymptotic analysis. The same elucidation of the processes that are modelled could therefore be achieved with the automatic model reduction technique as with methods that usually need considerable mathematical expertise.…”

Flow and nutrient transport problems in rotating bioreactor systems by Dalwadi, M, Chapman, S, Oliver, J, Waters, S

“…By exploiting various small parameters, we simplify the system of equations by performing an asymptotic analysis, and investigate the resulting system for the flow due to a prescribed TC motion.…”

A systematic upscaling of nonlinear chemical uptake within a biofilm by Dalwadi, MP, King, J

“…The former results in a significantly more involved13 general asymptotic analysis, and the latter results in the merging of two previous distinguished limits. …”

Using a probabilistic approach to derive a two-phase model of flow-induced cell migration by Ben-Ami, Y, Pitt-Francis, JM, Maini, PK, Byrne, HM

“…Using a combination of numerical simulations and asymptotic analysis, we delineate the parameter regime where transitions from downstream to upstream cell migration occur. …”

Deep neural networks with dependent weights: Gaussian process mixture limit, heavy tails, sparsity and compressibility by Lee, H, Ayed, F, Jung, P, Lee, J, Yang, H, Caron, FLR

“…Many sparsity-promoting neural network models can be recast as special cases of our approach, and we discuss their infinite-width limits; we also present an asymptotic analysis of the pruning error. We illustrate some of the benefits of the MoGP regime over the GP regime in terms of representation learning and compressibility on simulated, MNIST and Fashion MNIST datasets.…”

Modelling solidification of binary alloys by Planella, F

“…In order to obtain analytical solutions we use the method of matched asymptotic analysis in the large Lewis number limit. The analysis requires us to consider ten different layers, spread over four different time regimes. …”