Search Results - "Barnett, Alex H."
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A Fully Automated Approach to Spike Sorting
Published in Neuron (Cambridge, Mass.) (13-09-2017)“…Understanding the detailed dynamics of neuronal networks will require the simultaneous measurement of spike trains from hundreds of neurons (or more)…”
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High-Density, Long-Lasting, and Multi-region Electrophysiological Recordings Using Polymer Electrode Arrays
Published in Neuron (Cambridge, Mass.) (02-01-2019)“…The brain is a massive neuronal network, organized into anatomically distributed sub-circuits, with functionally relevant activity occurring at timescales…”
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3
A Bayesian approach to extracting free-energy profiles from cryo-electron microscopy experiments
Published in Scientific reports (01-07-2021)“…Cryo-electron microscopy (cryo-EM) extracts single-particle density projections of individual biomolecules. Although cryo-EM is widely used for 3D…”
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SpikeForest, reproducible web-facing ground-truth validation of automated neural spike sorters
Published in eLife (19-05-2020)“…Spike sorting is a crucial step in electrophysiological studies of neuronal activity. While many spike sorting packages are available, there is little…”
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5
Robust fast direct integral equation solver for quasi-periodic scattering problems with a large number of layers
Published in Optics express (26-01-2015)“…We present a new boundary integral formulation for time-harmonic wave diffraction from two-dimensional structures with many layers of arbitrary periodic shape,…”
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Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects
Published in Advances in computational mathematics (01-10-2022)“…Well-conditioned boundary integral methods for the solution of elliptic boundary value problems (BVPs) are powerful tools for static and dynamic physical…”
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7
Ensemble Reweighting Using Cryo-EM Particle Images
Published in The journal of physical chemistry. B (22-06-2023)“…Cryo-electron microscopy (cryo-EM) has recently become a leading method for obtaining high-resolution structures of biological macromolecules. However, cryo-EM…”
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A Unified Integral Equation Scheme for Doubly Periodic Laplace and Stokes Boundary Value Problems in Two Dimensions
Published in Communications on pure and applied mathematics (01-11-2018)“…We present a spectrally accurate scheme to turn a boundary integral formulation for an elliptic PDE on a single unit cell geometry into one for the fully…”
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Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping
Published in BIT (01-03-2021)“…The numerical method of Helsing and co-workers evaluates Laplace and related layer potentials generated by a panel (composite) quadrature on a curve,…”
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10
Validation of neural spike sorting algorithms without ground-truth information
Published in Journal of neuroscience methods (01-05-2016)“…•We present per-neuron validation metrics for automatic spike sorting algorithms.•The metrics measure stability under perturbations consistent with those in…”
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High-order boundary integral equation solution of high frequency wave scattering from obstacles in an unbounded linearly stratified medium
Published in Journal of computational physics (15-09-2015)“…We apply boundary integral equations for the first time to the two-dimensional scattering of time-harmonic waves from a smooth obstacle embedded in a…”
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Effective scattering coefficient of the cerebral spinal fluid in adult head models for diffuse optical imaging
Published in Applied optics (2004) (01-07-2006)“…An efficient computation of the time-dependent forward solution for photon transport in a head model is a key capability for performing accurate inversion for…”
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Analytic steady-state space use patterns and rapid computations in mechanistic home range analysis
Published in Journal of mathematical biology (01-07-2008)“…Mechanistic home range models are important tools in modeling animal dynamics in spatially complex environments. We introduce a class of stochastic models for…”
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14
Quantum mushroom billiards
Published in Chaos (Woodbury, N.Y.) (01-12-2007)“…We report the first large-scale statistical study of very high-lying eigenmodes (quantum states) of the mushroom billiard proposed by L. A. Bunimovich [Chaos…”
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15
Aliasing error of the exp(β1−z2) kernel in the nonuniform fast Fourier transform
Published in Applied and computational harmonic analysis (01-03-2021)“…The most popular algorithm for the nonuniform fast Fourier transform (NUFFT) uses the dilation of a kernel ϕ to spread (or interpolate) between given…”
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A fast numerical method for time-resolved photon diffusion in general stratified turbid media
Published in Journal of computational physics (10-12-2004)“…Efficient forward models of photon migration in complex geometries are important for noninvasive imaging of tissue in vivo with diffuse optical tomography…”
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17
Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects
Published in Journal of computational physics (01-11-2016)“…We present a high-order accurate boundary-based solver for three-dimensional (3D) frequency-domain scattering from a doubly-periodic grating of smooth…”
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18
Trapped acoustic waves and raindrops: High-order accurate integral equation method for localized excitation of a periodic staircase
Published in Journal of computational physics (15-12-2024)“…We present a high-order boundary integral equation (BIE) method for the frequency-domain acoustic scattering of a point source by a singly-periodic, infinite,…”
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cuFINUFFT: a load-balanced GPU library for general-purpose nonuniform FFTs
Published in 2021 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW) (01-06-2021)“…Nonuniform fast Fourier transforms dominate the computational cost in many applications including image reconstruction and signal processing. We thus present a…”
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Conference Proceeding -
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A High‐Order Integral Equation‐Based Solver for the Time‐Dependent Schrödinger Equation
Published in Communications on pure and applied mathematics (01-08-2022)“…We introduce a numerical method for the solution of the time‐dependent Schrödinger equation with a smooth potential, based on its reformulation as a Volterra…”
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