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Operator Inference

What is Operator Inference?
Package Installation
What’s New
Literature
References

Tutorials

Getting Started
External Inputs
Parametric Problems

API Reference

opinf
opinf.lift
- LifterTemplate
  - lift()
  - lift_ddts()
  - unlift()
  - verify()
- QuadraticLifter
  - lift()
  - lift_ddts()
  - unlift()
  - verify()
- PolynomialLifter
  - lift()
  - lift_ddts()
  - unlift()
  - verify()
opinf.pre
opinf.basis
- BasisTemplate
  - compress()
  - decompress()
  - fit()
  - load()
  - project()
  - projection_error()
  - save()
  - verify()
- BasisMulti
  - compress()
  - decompress()
  - fit()
  - get_var()
  - load()
  - project()
  - projection_error()
  - save()
  - split()
  - verify()
- LinearBasis
  - compress()
  - decompress()
  - fit()
  - load()
  - plot1D()
  - project()
  - projection_error()
  - save()
  - verify()
- PODBasis
- pod_basis()
- method_of_snapshots()
- cumulative_energy()
- residual_energy()
- svdval_decay()
opinf.ddt
- DerivativeEstimatorTemplate
- UniformFiniteDifferencer
- NonuniformFiniteDifferencer
- InterpDerivativeEstimator
- fwd1()
- fwd2()
- fwd3()
- fwd4()
- fwd5()
- fwd6()
- bwd1()
- bwd2()
- bwd3()
- bwd4()
- bwd5()
- bwd6()
- ctr2()
- ctr4()
- ctr6()
- ord2()
- ord4()
- ord6()
- ddt_uniform()
- ddt_nonuniform()
- ddt()
opinf.operators
- OperatorTemplate
  - apply()
  - copy()
  - galerkin()
  - jacobian()
  - load()
  - save()
  - verify()
- InputMixin
- OpInfOperator
  - apply()
  - copy()
  - datablock()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- ConstantOperator
  - apply()
  - copy()
  - datablock()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- LinearOperator
  - apply()
  - copy()
  - datablock()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- QuadraticOperator
- CubicOperator
- InputOperator
  - apply()
  - copy()
  - datablock()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- StateInputOperator
  - apply()
  - copy()
  - datablock()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- ParametricOperatorTemplate
  - apply()
  - copy()
  - evaluate()
  - galerkin()
  - jacobian()
  - load()
  - save()
  - verify()
- ParametricOpInfOperator
  - apply()
  - copy()
  - datablock()
  - evaluate()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- AffineConstantOperator
  - apply()
  - coeffs()
  - copy()
  - datablock()
  - evaluate()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- AffineLinearOperator
  - apply()
  - coeffs()
  - copy()
  - datablock()
  - evaluate()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- AffineQuadraticOperator
  - apply()
  - coeffs()
  - copy()
  - datablock()
  - evaluate()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- AffineCubicOperator
  - apply()
  - coeffs()
  - copy()
  - datablock()
  - evaluate()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- AffineInputOperator
  - apply()
  - coeffs()
  - copy()
  - datablock()
  - evaluate()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- AffineStateInputOperator
  - apply()
  - coeffs()
  - copy()
  - datablock()
  - evaluate()
  - galerkin()
  - jacobian()
  - load()
  - operator_dimension()
  - save()
  - set_entries()
  - verify()
- InterpConstantOperator
- InterpLinearOperator
- InterpQuadraticOperator
- InterpCubicOperator
- InterpInputOperator
- InterpStateInputOperator
opinf.lstsq
- SolverTemplate
  - cond()
  - copy()
  - fit()
  - load()
  - residual()
  - save()
  - solve()
  - verify()
- PlainSolver
  - cond()
  - copy()
  - fit()
  - load()
  - residual()
  - save()
  - solve()
  - verify()
- L2Solver
  - cond()
  - copy()
  - fit()
  - load()
  - regcond()
  - regresidual()
  - residual()
  - save()
  - solve()
  - verify()
- L2DecoupledSolver
  - cond()
  - copy()
  - fit()
  - load()
  - regcond()
  - regresidual()
  - residual()
  - save()
  - solve()
  - verify()
- TikhonovSolver
  - cond()
  - copy()
  - fit()
  - get_operator_regularizer()
  - load()
  - regcond()
  - regresidual()
  - residual()
  - save()
  - solve()
  - verify()
- TikhonovDecoupledSolver
  - cond()
  - copy()
  - fit()
  - get_operator_regularizer()
  - load()
  - regcond()
  - regresidual()
  - residual()
  - save()
  - solve()
  - verify()
- TruncatedSVDSolver
  - cond()
  - copy()
  - fit()
  - load()
  - residual()
  - save()
  - solve()
  - tcond()
  - verify()
- TotalLeastSquaresSolver
  - cond()
  - copy()
  - fit()
  - load()
  - residual()
  - save()
  - solve()
  - verify()
opinf.models
- ContinuousModel
  - copy()
  - fit()
  - galerkin()
  - jacobian()
  - load()
  - predict()
  - refit()
  - rhs()
  - save()
- DiscreteModel
  - copy()
  - fit()
  - galerkin()
  - jacobian()
  - load()
  - predict()
  - refit()
  - rhs()
  - save()
  - stack_trajectories()
- ParametricContinuousModel
  - copy()
  - evaluate()
  - fit()
  - galerkin()
  - jacobian()
  - predict()
  - refit()
  - rhs()
- ParametricDiscreteModel
  - copy()
  - evaluate()
  - fit()
  - galerkin()
  - jacobian()
  - predict()
  - refit()
  - rhs()
- InterpContinuousModel
  - copy()
  - evaluate()
  - fit()
  - galerkin()
  - jacobian()
  - load()
  - predict()
  - refit()
  - rhs()
  - save()
  - set_interpolator()
- InterpDiscreteModel
  - copy()
  - evaluate()
  - fit()
  - galerkin()
  - jacobian()
  - load()
  - predict()
  - refit()
  - rhs()
  - save()
  - set_interpolator()
opinf.roms
- ROM
- ParametricROM
opinf.post
opinf.utils

Developer Guide

How to Contribute
Testing Source Code
Writing Documentation
Index of Notation

Repository
Open issue

.rst

solve()

Contents

TikhonovSolver.solve()

solve()#

TikhonovSolver.solve() → ndarray[source]#

Solve the Operator Inference regression.

Returns:

Ohat(r, d) ndarray: Operator matrix \(\Ohat\) (not its transpose!).

previous

save()

next

verify()

Contents

TikhonovSolver.solve()

By Willcox Research Group, Oden Institute for Computational Engineering and Sciences

© Copyright 2023.