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  • Founded by Jim and Marilyn Simons, we’re a private philanthropy advancing mathematics and basic science.

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Bringing people and ideas together to fund, conduct, and share transformative science.

Our grants advance knowledge and strengthen connections between science and society.

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We convene scientists, mathematicians, and thinkers to share ideas and explore new questions.

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Founded by Jim and Marilyn Simons, we’re a private philanthropy advancing mathematics and basic science.

Work with us on the frontier of basic science research.

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The Flatiron Institute is a research center that uses computational science to advance fields like physics, biology, and astronomy.

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Featured

Dissecting mechanisms of hyperarousal in autism and related disorders using the Simons Sleep Project

Funded Work

Gravity Follows Newton’s and Einstein’s Rules, Even at Cosmic Scales

April 15, 2026

Scientists Capture Superconductivity’s ‘Dancing Pairs’ for First Time, Filling Gap in Decades-Old Theory

April 15, 2026

How SURFiN Fellowships Jump-Started These 3 Neuroscience Students’ STEM Careers

March 18, 2026

Topology and Complexity

November 19, 2014

Results

  1. Privileged representational axes in biological and artificial neural networks

    Publication
    How do neurons code information? Recent work emphasizes the geometry and information content of population codes, using measures that are blind to the native tunings (or ‘axes’) of …
  2. Similarity of Neural Network Representations in Superposition

    Publication
    Comparing internal representations is a central goal in neuroscience and machine learning, but standard linear alignment metrics (Representational Similarity Analysis, Centered Kernel Alignment, and linear regression) are frequently …
  3. How Data Augmentation Shapes Neural Representations

    Publication
    Data augmentation is widely recognized for improving generalization in deep networks, yet its impact on the geometry of learned representations remains poorly understood. In this work, we characterize …
  4. Tracking the Fidelity of Internal Neural Representations with Error-In-Variables Regression

    Publication
    Internal neural representations can systematically deviate from externally measured sensory and behavioral variables, yet neuroscientists lack a principled statistical framework to quantify these mismatches. Here we introduce a …
  5. Modulating Cross-Modal Convergence with Single-Stimulus, Intra-Modal Dispersion

    Publication
    Neural networks exhibit a remarkable degree of representational convergence across diverse architectures, training objectives, and even data modalities. This convergence is predictive of alignment with brain representation. A …
  6. Partial Soft-Matching Distance for Neural Representational Comparison with Partial Unit Correspondence

    Publication
    Representational similarity metrics typically force all units to be matched, making them susceptible to noise and outliers common in neural representations. We extend the soft-matching distance to …
  7. Quasi Monte Carlo methods enable extremely low-dimensional deep generative models

    Publication
    This paper introduces quasi-Monte Carlo latent variable models (QLVMs): a class of deep generative models that are specialized for finding extremely low-dimensional and interpretable embeddings of …
  8. Scalable inference of functional neural connectivity at submillisecond timescales

    Publication
    The Poisson Generalized Linear Model (GLM) is a foundational tool for analyzing neural spike train data. However, standard implementations rely on discretizing spike times into binned count data …
  9. From labels to latents: revealing state-dependent hippocampal computations with Jump Latent Variable Model

    Publication
    Neural activity is usually interpreted by imposing external labels (e.g., stimuli or position during locomotion) and decoding within that space (e.g. replay). While powerful, such supervision …
  10. Comprehensive characterization of human color discrimination thresholds

    Publication
    Color discrimination thresholds—the smallest detectable color differences—provide a benchmark for models of color vision, enable quantitative evaluation of eye diseases, and inform the design of display …
  11. Modeling Neural Activity with Conditionally Linear Dynamical Systems

    Publication
    Neural population activity exhibits complex, nonlinear dynamics, varying in time, over trials, and across experimental conditions. Here, we develop Conditionally Linear Dynamical System (CLDS) models as a general …
  12. Discriminating image representations with principal distortions

    Publication
    Image representations (artificial or biological) are often compared in terms of their global geometric structure; however, representations with similar global structure can have strikingly different local geometries. Here …
  13. Disentangling 3D Animal Pose Dynamics With Scrubbed Conditional Latent Variables

    Publication
    Methods for tracking lab animal movements in unconstrained environments have become increasingly common and powerful tools for neuroscience. The prevailing hypothesis is that animal behavior in these environments …
  14. Comparing noisy neural population dynamics using optimal transport distances

    Publication
    Biological and artificial neural systems form high-dimensional neural representations that underpin their computational capabilities. Methods for quantifying geometric similarity in neural representations have become a popular tool …
  15. Quantifying Differences in Neural Population Activity With Shape Metrics

    Publication
    Quantifying differences across species and individuals is fundamental to many fields of biology. However, it remains challenging to draw detailed functional comparisons between large populations of interacting neurons …
  16. Hippocampal neuronal activity is aligned with action plans

    Publication
    Neurons in the hippocampus are correlated with different variables, including space, time, sensory cues, rewards and actions, in which the extent of tuning depends on ongoing task demands1 …
  17. Soft Matching Distance: A metric on neural representations that captures single-neuron tuning

    Publication
    Common measures of neural representational (dis)similarity are designed to be insensitive to rotations and reflections of the neural activation space. Motivated by the premise that the tuning …
  18. Unsupervised discovery of family specific vocal usage in the Mongolian gerbil

    Publication
    In nature, animal vocalizations can provide crucial information about identity, including kinship and hierarchy. However, lab-based vocal behavior is typically studied during brief interactions between animals with …
  19. What Representational Similarity Measures Imply about Decodable Information

    Publication
    Neural responses encode information that is useful for a variety of downstream tasks. A common approach to understand these systems is to build regression models or “decoders” that …
  20. Equivalence between representational similarity analysis, centered kernel alignment, and canonical correlations analysis

    Publication
    Centered kernel alignment (CKA) and representational similarity analysis (RSA) of dissimilarity matrices are two popular methods for comparing neural systems in terms of representational geometry. Although they follow …
  21. Comparing the local information geometry across several image representations

    Publication
    We propose a framework for comparing a set of image representations (artificial or biological) in terms of their sensitivities to local distortions. We quantify the local geometry of …
  22. Vocal Call Locator Benchmark (VCL) for localizing rodent vocalizations from multi-channel audio

    Publication
    Understanding the behavioral and neural dynamics of social interactions is a goal of contemporary neuroscience. Many machine learning methods have emerged in recent years to make sense of …
  23. Perpetual step-like restructuring of hippocampal circuit dynamics

    Publication
    Representation of the environment by hippocampal populations is known to drift even within a familiar environment, which could reflect gradual changes in single-cell activity or result from …
  24. Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data

    Publication
    The canonical polyadic (CP) tensor decomposition decomposes a multidimensional data array into a sum of outer products of finite-dimensional vectors. Instead, we can replace some or all …
  25. Privileged representational axes in biological and artificial neural networks

    Publication
    How do neurons code information? Recent work emphasizes properties of population codes, such as their geometry and decodable information, using measures that are blind to the native tunings …
  26. Estimating Shape Distances on Neural Representations with Limited Samples

    Publication
    Measuring geometric similarity between high-dimensional network representations is a topic of longstanding interest to neuroscience and deep learning. Although many methods have been proposed, only a few …
  27. Disentangling Recurrent Neural Dynamics with Stochastic Representational Geometry

    Publication
    Uncovering and comparing the dynamical mechanisms that support neural processing remains a key challenge in the analysis of biological and artificial neural systems. However, measures of representational (dis …
  28. Spatiotemporal Clustering with Neyman-Scott Processes via Connections to Bayesian Nonparametric Mixture Models

    Publication
    Neyman-Scott processes (NSPs) are point process models that generate clusters of points in time or space. They are natural models for a wide range of phenomena, ranging …

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