CCM’s mission is to create new mathematical approaches, algorithms and software to advance scientific research in multiple disciplines, often in collaboration with other Flatiron Centers.
Featured News
Center for Computational Mathematics
Old Problems, New Tools: Adapting Applied Mathematics for Quantum Physics
Read More
Flatiron applied mathematician Jason Kaye is bringing powerful new approaches to quantum physicists to help them answer big questions about small particles.
Applied and computational mathematics play a critical role in many aspects of modern science and engineering, with new opportunities for discovery in virtually every discipline. CCM will focus on developing new tools and software libraries that bring large-scale modeling, simulation and data analysis within practical reach.
Research
Collaborative Work
Machine Learning at the Flatiron Institute
Machine learning has become an indispensable tool for computational science, and it is an active and growing area of research throughout the Flatiron Institute.
- CCM
- CCN
- CCA
- CCB
- CCQ
Structural and Molecular Biophysics Collaboration
Underlying all biological processes are molecules and their interactions with each other. However, our ability to understand how these molecules function over biologically relevant scales remains very limited.
- CCB
- CCM
Research Highlights
Geometry of the Phase Retrieval Problem
One of the most powerful approaches to imaging at the nanometer or subnanometer length scale is coherent diffraction imaging using…
Cambridge University PressProlonged and Pervasive Perturbations in the Composition of the Southern Hemisphere Midlatitude Lower Stratosphere From the Australian New Year’s Fires
M. L. Santee, A. Lambert, G. L. Manney, N. J. Livesey, L. Froidevaux, J. L. Neu, M. J. Schwartz, L. F. Millán, F. Werner, W. G. Read, M. Park, R. A. Fuller, B. Ward
The 2019/2020 Australian New Year’s wildfires injected record amounts of smoke and biomass burning products into the lower stratosphere. The…
Geophysical Research LettersNeural Circuits for Dynamics-Based Segmentation of Time Series
Samaneh Nasiri, Dmitri B. Chklovskii, A. Sengupta, Tiberiu Tesileanu , Siavash Golkar
The brain must extract behaviorally relevant latent variables from the signals streamed by the sensory organs. Such latent variables are…
Neural ComputationDirector
Software
SpikeForest
SpikeForest is a continuously-updating web-facing performance comparison of popular neural spike sorting codes, using a massive (1.3 TB) database of ground-truth recordings collected from over a dozen participating laboratories.
Figurl
Figurl lets you use Python to generate shareable figURLs (permalinks) to interactive visualizations. With minimal configuration, these can be generated from any computer with access to the internet.
FMM3D
FMM3D is a set of libraries to compute N-body interactions governed by the Laplace and Helmholtz equations, to a specified precision, in three dimensions, on a multi-core shared-memory machine.
IronClust
IronClust is a fast and drift-resistant spike sorting pipeline. The accuracy of spike sorting is validated by multiple ground-truth datasets from a number of contributing labs.
MountainSort/MountainLab
MountainSort is a plugin package to MountainLab, a general framework for scientific data analysis, sharing, and visualization.
FINUFFT
FINUFFT is a set of libraries to compute efficiently three types of nonuniform fast Fourier transform (NUFFT) to a specified precision, in one, two, or three dimensions, on a multi-core shared-memory machine.
cuFINUFFT
A GPU implementation of the 2- and 3-dimensional non-uniform FFT of types 1 and 2, in single and double precisions, based on the CPU code FINUFFT
ISO-SPLIT
ISO-SPLIT is an efficient clustering algorithm that handles an unknown number of unimodal clusters in low to moderate dimension, without any user-adjustable parameters.
Fast sinc transform library
Fast sinc transform libraries which compute sums of the sinc and sinc2 kernels between N arbitrary points in 1, 2, or 3 dimensions.
FFT-accelerated Interpolation-based t-SNE
FFT-accelerated interpolation-based t-SNE (FIt-SNE) is an efficient implementation of t-SNE (stochastic neighborhood embedding) for dimensionality reduction and visualization of high dimensional datasets.
CaImAn Python
Computational toolbox for large scale Calcium Imaging Analysis, including movie handling, motion correction, source extraction, spike deconvolution and result visualization.
CaImAn-MATLAB
Complete Matlab pipeline for large scale calcium imaging data analysis.
Kachery-cloud
Kachery-cloud is a network for sharing scientific data files, live feeds, mutable data and calculation results between lab computers and browser-based user interfaces.