Computational Mathematics: Software & Datasets
From the quantum to the cosmic, our research teams develop novel software packages and data products to advance our understanding of fundamental processes.
Results
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SoftwareBridgeStan gives in-memory access to Stan models via multiple languages, exposing log densities, gradients, Hessians, transforms, and predictions. -
SoftwareMATLAB package for solving partial differential equations in two dimensional domains.
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SoftwareA collection of finite volume methods for linear and nonlinear hyperbolic systems of conservation laws.
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SoftwareThe CryoLike Python library is a fast and accurate algorithm for computing the likelihood of cryo-EM images given a cryo-EM map and atomic model.
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SoftwarecryoSBI is a Python module for simulation-based inference in cryo-electron microscopy.
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SoftwareFIt-SNE is a fast t-SNE implementation for dimensionality reduction, scaling to ~1M points in minutes for high-dimensional data visualization.
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SoftwareGenerates shareable interactive visualizations from Python using cloud-stored data and ReactJS plugins via figurl.org. -
SoftwareEfficiently computes 1D–3D nonuniform FFTs with CPU and GPU support, plus interfaces for C, Python, MATLAB, Julia, and more. -
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SoftwareComputes fast 3D N-body interactions (Laplace/Helmholtz) using the fast multipole method with SIMD acceleration and multithreading.
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SoftwareClustering algorithm for unknown unimodal clusters using projection-based tests, handling non-Gaussian data, with efficient C++/MATLAB implementation.
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SoftwareA network for sharing scientific data, results, and live feeds via content-addressed URIs for reproducible, cross-machine and browser-based workflows. -
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SoftwareA spike sorting and scientific data analysis platform built around MountainSort, enabling processing, sharing, and visualization of neural data.
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SoftwareA tool for spike sorting and visualization of neural electrophysiology recordings.
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SoftwareFast, accurate Lomb–Scargle periodogram for time-series analysis using FINUFFT; faster than Astropy, with GPU support and integration.
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SoftwareFast Polar matrix decomposition to accelerate optimization in machine learning. -
SoftwareA database of over 370,000 curl-free stellarators and the coil sets that generate them, optimized for volume quasi-symmetry.
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SoftwarePython solver for rapidly oscillating ODEs with frequency-independent runtime, using adaptive methods to meet accuracy targets efficiently. -
SoftwareHeader-only C++ library providing data structures, solvers, algorithms, and tools for parallel scientific computing applications.
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SoftwareOpen-source probabilistic programming platform for Bayesian modeling, offering MCMC, variational inference, optimization, and multi-language support. -
SoftwareBrowser-based environment for editing, compiling, and running Stan models with built-in or custom Python/R analysis and no installation needed. -
SoftwareSubzero Matrix Completion (sumac), a rectified linear factorization of a sparse matrix.
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SoftwareMATLAB package for numerically computing with functions on surfaces with high-order accuracy.
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Software15 TB of numerical simulations of spatiotemporal physical systems, produced with Polymathic AI.