18 papers · ranked by Valyu relevance
James A. Brofos, Roy R. Lederman
Riemannian manifold Hamiltonian Monte Carlo is traditionally carried out using the generalized leapfrog integrator. However, this integrator is not the only choice and other integrators yielding valid Markov chain transition operators may be considered. In this work, we examine the implicit midpoint integrator as an…
Charles C. Margossian, Michael Betancourt
Derivative-based algorithms are ubiquitous in statistics, machine learning, and applied mathematics. Automatic differentiation offers an algorithmic way to efficiently evaluate these derivatives from computer programs that execute relevant functions. Implementing automatic differentiation for programs that incorporate…
Riccardo Mannella, Aneta Stefanovska, Philip C.E. Stamp, Mark Dykman + 2 more
The widely used Heun algorithm for the numerical integration of stochastic differential equations (SDEs) is critically re-examined. We discuss and evaluate several alternative implementations, motivated by the fact that the standard Heun scheme is constructed from a low-order integrator. The convergence, stability, and…
Erik Nygren, Alexandro Ramirez, Brandon McMahan, Emre Aksay + 1 more
There has been much focus on the mechanisms of temporal integration, but little on how circuits learn to integrate. In the adult oculomotor system, where a neural integrator maintains fixations, changes in integration dynamics can be driven by visual error signals. However, we show through dark-rearing experiments that…
Dong Eui Chang, Matthew Perlmutter, Joris Vankerschaver, Yanling Tian
'Yanling Tian'] The feedback integrators method is improved, via the celebrated Dirac formula, to integrate the equations of motion for mechanical systems with holonomic constraints so as to produce numerical trajectories that remain in the constraint set and preserve the values of quantities, such as energy, that are…
Boram Yoon
Many physics problems involve integration in multi-dimensional space whose analytic solution is not available. The integrals can be evaluated using numerical integration methods, but it requires a large computational cost in some cases, so an efficient algorithm plays an important role in solving the physics problems.…
Qingde Li, Qingqi Hong, Quan Qi, Xinhui Ma + 2 more
Surface-based geometric modeling has many advantages in terms of visualization and traditional subtractive manufacturing using computer-numerical-control cutting-machine tools. However, it is not an ideal solution for additive manufacturing because to digitally print a surface-represented geometric object using a…
Tianhe Wang, Tony Lam, Jordan A. Taylor, Richard B. Ivry
The sensorimotor system is continuously adjusted to minimize error. Current theories assume that this adaptation process entails the operation of multiple learning systems, with a key division between implicit and explicit components. Recent studies have revealed several inconsistencies regarding the characteristics…
Xiaocheng Shang, Hans Christian Öttinger
We study the optimal design of numerical integrators for dissipative systems, for which there exists an underlying thermodynamic structure known as GENERIC (general equation for the nonequilibrium reversible-irreversible coupling). We present a frame-work to construct structure-preserving integrators by splitting the…
J. Avellar, L.G.S. Duarte, AM Fraga, L.A.C.P. da Mota + 2 more
'Luciana Faria de Oliveira' 'L. O. Pereira'] Dynamic systems have a fundamental relevance in the description of physical phenomena. The search for more accurate and faster numerical integration methods for the resolution of such systems is, therefore, an important topic of research. The present work introduces a new…
Boram Yoon
We propose a novel multi-dimensional integration algorithm using a machine learning (ML) technique. After training a ML regression model to mimic a target integrand, the regression model is used to evaluate an approximation of the integral. Then, the difference between the approximation and the true answer is…
Sebastian D’Amario, Jennifer E. Ruttle, Bernard Marius ’t Hart, Denise Y. P. Henriques
During classical visuomotor adaptation, the implicit process is believed to emerge rather slowly; however, recent evidence has found this may not be true. Here, we further quantify the time-course of implicit learning in response to diverse feedback types, rotation magnitudes, feedback timing delays, and the role of…
Sarah A. Wilterson, Jordan A. Taylor
Learning in sensorimotor adaptation tasks has been historically viewed as solely an implicit learning phenomenon. However, recent findings suggest that implicit adaptation is heavily constrained, calling into question its utility in motor learning, and the theoretical framework of sensorimotor adaptation paradigms.…
Nezbailo Tiberiy
Fundamentals of the differential and integral calculus theory were independently outlined by I.Newton and G.Leibniz in 1666 - 1702 [1], and, since then, were substantially extended by many prominent mathematicians like J.Bernoulli, L.Euler, J.Lagrange, A.Cauchy, N.I. Lobachevsky and others. The basic fundamental…
Jeffry Setiadi, Simon Boothroyd, David Slochower, David Dotson + 4 more
Software to more rapidly and accurately predict protein--ligand binding affinities is of high interest for early-stage drug discovery, and physics-based methods are among the most widely used technologies for this purpose. The accuracy of these methods depends critically on the accuracy of the potential functions they…
Kwanpyung Lee, J. R. Schmidt
Conventional continuum solvation models are ubiquitous in computational catalysis, including for describing metal/water interfaces which are relevant to both solution-phase heterogeneous catalysis and electrocatalysis. Nonetheless, we find that such continuum models qualitative fail to describe both the adsorption free…
Fernando Marques de Almeida Nogueira
This paper presents a generalization for Differential and Integral Calculus. Just as the derivative is the instantaneous angular coefficient of the tangent line to a function, the generalized derivative is the instantaneous parameter value of a reference function (derivator function) tangent to the function. The…
Authors not listed
Lithium-sulfur (Li/S) batteries are emerging as a next-generation energy storage technology due to their high theoretical energy density and cost-effectiveness. π-conjugated organosulfur polymers, such as poly(4-(thiophene-3-yl)benzenethiol) (PTBT), have shown promise in overcoming challenges such as the polysulfide…