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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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6 results for “WSINDy”

Coarse-Graining Hamiltonian Systems Using WSINDyphysics.comp-ph

WSINDy identifies reduced Hamiltonian systems from particle interactions.

problem Coarse-graining Hamiltonian dynamics with approximate symmetries.

method WSINDy algorithm applied to Hamiltonian systems with timescale separation.

result WSINDy successfully identifies reduced Hamiltonian systems from noisy data.

WSINDy Hamiltonian systems coarse-graining symmetry averaging theory

2023-10-09abs ↗pdf ↗

Asymptotic consistency of the WSINDy algorithm in the limit of continuum datamath.NA

WSINDy algorithm proves robust to noise in identifying differential equations.

problem Identifying differential equations from noisy data.

method Weak-form sparse identification of nonlinear dynamics (WSINDy) algorithm.

result WSINDy is asymptotically consistent for a wide class of models, including Navier-Stokes and Kuramoto-Sivashinsky equations.

WSINDy differential equations asymptotic consistency noisy data Navier-Stokes

2022-11-29abs ↗pdf ↗

Weak SINDy For Partial Differential Equationsmath.NA

WSINDy for PDEs robustly identifies models from noisy data.

problem Identifying nonlinear dynamics from noisy partial differential equations data.

method Weak formulation of PDEs, Fourier-based model identification, sequential-thresholding least-squares.

result WSINDy enables robust identification of PDEs in noisy conditions.

Partial Differential Equations Weak Formulation Machine Learning Robust Identification Fourier Transform

2020-07-06abs ↗pdf ↗

Learning Anisotropic Interaction Rules from Individual Trajectories in a Heterogeneous Cellular Populationq-bio.QM

Method learns cell interaction rules from individual trajectories.

problem Inferring interaction rules from heterogeneous cellular data.

method WSINDy for second order IPSs, learning individual cell models.

result Efficiently identifies different species and best-fit models for each.

cellular migration interaction rules WSINDy heterogeneous population trajectory data

2022-04-29abs ↗pdf ↗

Learning Mean-Field Equations from Particle Data Using WSINDystat.ML

Method identifies IPS governing equations from particle data efficiently.

problem Identify governing equations of interacting particle systems efficiently.

method Combines mean-field theory and WSINDy for large

N

and

M

result Converges with rate

\mathcal{O}(N^{-1/2})

for

N \geq 100

particle systems mean-field theory WSINDy system identification stochastic differential equations

2021-10-14abs ↗pdf ↗

Online Weak-form Sparse Identification of Partial Differential Equationsmath.OC

Online algorithm identifies PDEs from noisy data snapshots.

problem Identifying PDEs from sequential solution snapshots.

method Combines weak-form discretization with online proximal gradient descent.

result Efficiently identifies and tracks systems with time-varying coefficients.

PDE identification online algorithm weak-form sparse identification partial differential equations

2022-03-08abs ↗pdf ↗