Search Results - "Zygalakis, Konstantinos"

LONG TIME ACCURACY OF LIE–TROTTER SPLITTING METHODS FOR LANGEVIN DYNAMICS by ABDULLE, ASSYR, VILMART, GILLES, ZYGALAKIS, KONSTANTINOS C.

“…A new characterization of sufficient conditions for the Lie–Trotter splitting to capture the numerical invariant measure of nonlinear ergodic Langevin dynamics…”
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HIGH ORDER NUMERICAL APPROXIMATION OF THE INVARIANT MEASURE OF ERGODIC SDES by ABDULLE, ASSYR, VILMART, GILLES, ZYGALAKIS, KONSTANTINOS C.

“…We introduce new sufficient conditions for a numerical method to approximate with high order of accuracy the invariant measure of an ergodic system of…”
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FAST LANGEVIN BASED ALGORITHM FOR MCMC IN HIGH DIMENSIONS by Durmus, Alain, Roberts, Gareth O., Vilmart, Gilles, Zygalakis, Konstantinos C.

“…We introduce new Gaussian proposals to improve the efficiency of the standard Hastings–Metropolis algorithm in Markov chain Monte Carlo (MCMC) methods, used…”
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Generative hypergraph models and spectral embedding by Gong, Xue, Higham, Desmond J., Zygalakis, Konstantinos

“…Many complex systems involve interactions between more than two agents. Hypergraphs capture these higher-order interactions through hyperedges that may link…”
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Gaussian processes for Bayesian inverse problems associated with linear partial differential equations by Bai, Tianming, Teckentrup, Aretha L., Zygalakis, Konstantinos C.

“…This work is concerned with the use of Gaussian surrogate models for Bayesian inverse problems associated with linear partial differential equations. A…”
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The forward–backward envelope for sampling with the overdamped Langevin algorithm by Eftekhari, Armin, Vargas, Luis, Zygalakis, Konstantinos C.

“…In this paper, we analyse a proximal method based on the idea of forward–backward splitting for sampling from distributions with densities that are not…”
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Statistical analysis of differential equations: introducing probability measures on numerical solutions by Conrad, Patrick R., Girolami, Mark, Särkkä, Simo, Stuart, Andrew, Zygalakis, Konstantinos

“…In this paper, we present a formal quantification of uncertainty induced by numerical solutions of ordinary and partial differential equation models. Numerical…”
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An Explicit Structural Model of Root Hair and Soil Interactions Parameterised by Synchrotron X-ray Computed Tomography by Keyes, Samuel David, Zygalakis, Konstantinos C., Roose, Tiina

“…The rhizosphere is a zone of fundamental importance for understanding the dynamics of nutrient acquisition by plant roots. The canonical difficulty of…”
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The blending region hybrid framework for the simulation of stochastic reaction-diffusion processes by Yates, Christian A, George, Adam, Jordana, Armand, Smith, Cameron A, Duncan, Andrew B, Zygalakis, Konstantinos C

“…The simulation of stochastic reaction-diffusion systems using fine-grained representations can become computationally prohibitive when particle numbers become…”
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Noise control for molecular computing by Plesa, Tomislav, Zygalakis, Konstantinos C., Anderson, David F., Erban, Radek

“…Synthetic biology is a growing interdisciplinary field, with far-reaching applications, which aims to design biochemical systems that behave in a desired…”
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Explicit stabilised gradient descent for faster strongly convex optimisation by Eftekhari, Armin, Vandereycken, Bart, Vilmart, Gilles, Zygalakis, Konstantinos C.

“…This paper introduces the Runge–Kutta Chebyshev descent method (RKCD) for strongly convex optimisation problems. This new algorithm is based on explicit…”
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Entropy, Ergodicity, and Stem Cell Multipotency by Ridden, Sonya J, Chang, Hannah H, Zygalakis, Konstantinos C, MacArthur, Ben D

“…Populations of mammalian stem cells commonly exhibit considerable cell-cell variability. However, the functional role of this diversity is unclear. Here, we…”
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Multi-level Monte Carlo methods for the approximation of invariant measures of stochastic differential equations by Giles, Michael B., Majka, Mateusz B., Szpruch, Lukasz, Vollmer, Sebastian J., Zygalakis, Konstantinos C.

“…We develop a framework that allows the use of the multi-level Monte Carlo (MLMC) methodology (Giles in Acta Numer. 24:259–328, 2015…”
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Directed network Laplacians and random graph models by Gong, Xue, Higham, Desmond J, Zygalakis, Konstantinos

“…We consider spectral methods that uncover hidden structures in directed networks. We establish and exploit connections between node reordering via (a)…”
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Higher-order connection Laplacians for directed simplicial complexes by Gong, Xue, Higham, Desmond J, Zygalakis, Konstantinos, Bianconi, Ginestra

“…Abstract Higher-order networks encode the many-body interactions existing in complex systems, such as the brain, protein complexes, and social interactions…”
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Noise-processing by signaling networks by Kontogeorgaki, Styliani, Sánchez-García, Rubén J., Ewing, Rob M., Zygalakis, Konstantinos C., MacArthur, Ben D.

“…Signaling networks mediate environmental information to the cell nucleus. To perform this task effectively they must be able to integrate multiple stimuli and…”
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Fast stochastic simulation of biochemical reaction systems by alternative formulations of the chemical Langevin equation by Mélykúti, Bence, Burrage, Kevin, Zygalakis, Konstantinos C

“…The Chemical Langevin Equation (CLE), which is a stochastic differential equation driven by a multidimensional Wiener process, acts as a bridge between the…”
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ANALYSIS OF BROWNIAN DYNAMICS SIMULATIONS OF REVERSIBLE BIMOLECULAR REACTIONS by LIPKOVÁ, JANA, ZYGALAKIS, KONSTANTINOS C., CHAPMAN, S. JONATHAN, ERBAN, RADEK

“…A class of Brownian dynamics algorithms for stochastic reaction-diffusion models which include reversible bimolecular reactions is presented and analyzed. The…”
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A constrained approach to multiscale stochastic simulation of chemically reacting systems by Cotter, Simon L, Zygalakis, Konstantinos C, Kevrekidis, Ioannis G, Erban, Radek

“…Stochastic simulation of coupled chemical reactions is often computationally intensive, especially if a chemical system contains reactions occurring on…”
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Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method by Székely, Jr, Tamás, Burrage, Kevin, Zygalakis, Konstantinos C, Barrio, Manuel

“…Biochemical systems with relatively low numbers of components must be simulated stochastically in order to capture their inherent noise. Although there has…”
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