28 papers · ranked by Valyu relevance
Christel Sirocchi, Alessandro Bogliolo
Gossip algorithms are message-passing schemes designed to compute averages and other global functions over networks through asynchronous and randomised pairwise interactions. Gossip-based protocols have drawn much attention for achieving robust and fault-tolerant communication while maintaining simplicity and…
Radu Ioan Boţ, Ernö Robert Csetnek, Szilárd Csaba László
We investigate a second-order dynamical system with variable damping in connection with the minimization of a nonconvex differentiable function. The dynamical system is formulated in the spirit of the differential equation which models Nesterov's accelerated convex gradient method. We show that the generated trajectory…
Stephen Treaster, Jacob M. Daane, Matthew P. Harris
The quest to map the genetic foundations of phenotypes has been empowered by the modern diversity, quality, and availability of genomic resources. Despite these expanding resources, the abundance of variation within lineages makes the association of genetic change to specific phenotypes improbable. Drawing such…
Pedro Pinto
We study the asymptotic behaviour of the well-known Dykstra's algorithm through the lens of proof-theoretical techniques. We provide an elementary proof for the convergence of Dykstra's algorithm in which the standard argument is stripped to its central features and where the original compactness principles are…
Priyotosh Sil, Ajay Subbaroyan, Saumitra Kulkarni, Olivier C. Martin + 1 more
Boolean network (BN) models of gene regulatory networks (GRNs) have gained widespread traction as they can easily recapitulate cellular phenotypes via their attractor states. The overall dynamics of such models are embodied in the system’s state transition graph (STG) which is highly informative. Indeed, even if two BN…
Xu You, Di-Rong Chen
In this paper, we provide a new sequence converging to the Euler-Mascheroni constant. Finally, we establish some inequalities for the Euler-Mascheroni constant by the new sequence.
Lingyi Chen, Haoran Tang, Hao Wu, Huihui Wu + 3 more
Numerical computation of the rate-distortion (RD) function is a key problem in RD theory. Thus far, efficient algorithms have been well studied for discrete sources, but for continuous sources, there is still lack of a rigorously developed solution. In this article, an integrated approach is conducted that bridges RD…
Kenji Fukushima, David D. Pollock
On macroevolutionary timescales, extensive mutations and phylogenetic uncertainty mask the signals of genotype-phenotype associations underlying convergent evolution. To overcome this problem, we extended the widely used framework of nonsynonymous-to-synonymous substitution rate ratios and developed the novel metric…
Yutao Ma, Tian, Bingjie
Let (Xi)1≤i≤ n be independent and identically distributed (i.i.d.) standard Gaussian random variables, and denote by X(n) = max1≤i≤ n X i the maximum order statistic. It is well-known in extreme value theory that the linearly normalized maximum Y n = an(X(n)−bn), converges weakly to the standard Gumbel distribution Λ…
Tao Zhang, Pingyan Chen, Soo Hak Sung
Baum and Katz (Trans. Am. Math. Soc. 120:108-123, [1]) obtained convergence rates in the Marcinkiewicz-Zygmund law of large numbers. Their result has already been extended to the short-range dependent linear processes by many authors. In this paper, we extend the result of Baum and Katz to the long-range dependent…
Hans Kersting, T. J. Sullivan, Philipp Hennig
A recently introduced class of probabilistic (uncertainty-aware) solvers for ordinary differential equations (ODEs) applies Gaussian (Kalman) filtering to initial value problems. These methods model the true solution x and its first q derivatives a priori as a Gauss-Markov process ${\varvec{X}}$, which is then…
Rishikesh Yadav, Ramakanta Meher, Vishnu Narayan Mishra
Our main aim is to investigate the approximation properties for the summation integral type operators in statistical sense. In this regard, we prove the statistical convergence theorem using well known Korovkin theorem and the degree of approximation is determined. Also using weight function, the weighted statistical…
Ernö Robert Csetnek, Mikhail A. Karapetyants
In a Hilbert setting we aim to study a second order in time differential equation, combining viscous and Hessian-driven damping, containing a time scaling parameter function and a Tikhonov regularization term. The dynamical system is related to the problem of minimization of a nonsmooth convex function. In the…
László Györfi, Roi Weiss
We study universal consistency and convergence rates of simple nearest-neighbor prototype rules for the problem of multiclass classification in metric spaces. We first show that a novel data-dependent partitioning rule, named Proto-NN, is universally consistent in any metric space that admits a universally consistent…
Zahid Akhtar, Muhammad Aqeel Ahmad Khan
This paper is a continuation to the study of generalized quasi contractive operators, essentially due to Akhtar et al. [A multi-step implicit iterative process for common fixed points of generalized C q -operators in convex metric spaces, Sci. Int., 25(4) (2013), 887-891], in spaces of nonpositive sectional curvature.…
Amanda Kowalczyk, Wynn K Meyer, Raghavendran Partha, Weiguang Mao + 2 more
Motivation: When different lineages of organisms independently adapt to similar environments, selection often acts repeatedly upon the same genes, leading to signatures of convergent evolutionary rate shifts at these genes. With the increasing availability of genome sequences for organisms displaying a variety of…
Hongmin Xu, Xu You
It is also known as the Euler-Mascheroni constant. There are many famous unsolved problems about the nature of this constant(See e.g. the survey papers or books of R.P. Brent and P. Zimmermann[1], Dence and Dence[3], Havil[5] and Lagarias[8]). For example, it is a long-standing open problem if it is a rational number.…
Timothy Looney, Denise Topacio-Hall, Geoffrey Lowman, Jeffrey Conroy + 4 more
Tumor antigen-driven selection may expand T cells having T cell receptors (TCRs) of shared antigen specificity but different amino acid or nucleotide sequence in a process known as TCR convergence. Substitution sequencing errors introduced by TCRβ (TCRB) repertoire sequencing may create artifacts resembling TCR…
Chelton D. Evans, William K. Pattinson
Integration at a point is a new kind of integration derived from integration over an interval in infinitesimal and infinity domains which are spaces larger than the reals. Consider a continuous monotonic divergent function that is continually increasing. Apply the fundamental theorem of calculus. The integral is a…
Anupam Ojha, Saumya Thakur, Surl-Hee Ahn, Rommie Amaro
Recent advances in computational power and algorithms have made molecular dynamics (MD) simulations reach greater timescales. However, for observing conformational transitions associated with biomolecular processes, MD simulations still have limitations. Several enhanced sampling techniques seek to address this…
Authors not listed
Accurate and efficient calculation of alchemical free energies is a critical challenge in computational chemistry, frequently hindered by the inherent limitations of conventional Thermodynamic Integration (TI) methods. These limitations include poor phasespace overlap between discrete alchemical states, inefficient…
Kazunori D Yamada
In the deep learning era, a gradient descent method is the most common method to optimize parameters of neural networks. Among various mathematical optimization methods, a gradient descent method is the most naive method. Although controlling a learning rate of the method is necessary for quick convergence, the…
Ibrahim S. Ibrahim, Majeed A. Yousif, Pshtiwan Othman Mohammed, Dumitru Baleanu + 3 more
'Dumitru Baleanu' 'Ahmad Zeeshan' 'Mohamed Abdelwahed' 'Alemayehu Getahun Kumela'] This research introduces novel concepts in sequence theory, including Bessel convergence, Bessel boundedness, Bessel statistical convergence, and Bessel statistical Cauchy sequences. These concepts establish new inclusion relations and…
Authors not listed
Based on a recently developed full-dimensional analytical potential energy surface, named PES-2024, which was fitted to high-level ab initio calculations, three different kinetic theories were used for the computation of thermal rate constants: variational transition state theory (VTST), quasi-classical trajectory…
Authors not listed
Internal conversion is a vital vibronic loss mechanism which competes with all other photophysical mechanisms, and available in the literature is a plethora of information on the subject. However, this data is often difficult to penetrate due to its complexity. As well, due to the sheer number of methods, it is often…
Zach Mobille, Usama Bin Sikandar, Simon Sponberg, Hannah Choi
Convergent and divergent structures in the networks that make up biological brains are found across many species and brain regions at various spatial scales. Neurons in these networks fire action potentials, or “spikes”, whose precise timing is becoming increasingly appreciated as large sources of information about…
Anupam Ojha, Saumya Thakur, Surl-Hee Ahn, Rommie Amaro
Recent advances in computational power and algorithms have made molecular dynamics (MD) simulations reach greater timescales. However, for observing conformational transitions associated with biomolecular processes, MD simulations still have limitations. Several enhanced sampling techniques seek to address this…
Zehua Chen, Yang Yang
Hydrogen-atom transfer is crucial in a myriad of chemical and biological processes, yet the accurate and efficient description of hydrogen-atom transfer reactions and kinetic isotope effects remains challenging due to significant quantum effects on hydrogenic motion, especially tunneling and zeropoint energy. In this…