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- // Ceres Solver - A fast non-linear least squares minimizer
- // Copyright 2023 Google Inc. All rights reserved.
- // http://ceres-solver.org/
- //
- // Redistribution and use in source and binary forms, with or without
- // modification, are permitted provided that the following conditions are met:
- //
- // * Redistributions of source code must retain the above copyright notice,
- // this list of conditions and the following disclaimer.
- // * Redistributions in binary form must reproduce the above copyright notice,
- // this list of conditions and the following disclaimer in the documentation
- // and/or other materials provided with the distribution.
- // * Neither the name of Google Inc. nor the names of its contributors may be
- // used to endorse or promote products derived from this software without
- // specific prior written permission.
- //
- // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- // POSSIBILITY OF SUCH DAMAGE.
- //
- // Author: sameeragarwal@google.com (Sameer Agarwal)
- #ifndef CERES_INTERNAL_LEVENBERG_MARQUARDT_STRATEGY_H_
- #define CERES_INTERNAL_LEVENBERG_MARQUARDT_STRATEGY_H_
- #include "ceres/internal/disable_warnings.h"
- #include "ceres/internal/eigen.h"
- #include "ceres/internal/export.h"
- #include "ceres/trust_region_strategy.h"
- namespace ceres::internal {
- class ContextImpl;
- // Levenberg-Marquardt step computation and trust region sizing
- // strategy based on on "Methods for Nonlinear Least Squares" by
- // K. Madsen, H.B. Nielsen and O. Tingleff. Available to download from
- //
- // http://www2.imm.dtu.dk/pubdb/views/edoc_download.php/3215/pdf/imm3215.pdf
- class CERES_NO_EXPORT LevenbergMarquardtStrategy final
- : public TrustRegionStrategy {
- public:
- explicit LevenbergMarquardtStrategy(
- const TrustRegionStrategy::Options& options);
- ~LevenbergMarquardtStrategy() override;
- // TrustRegionStrategy interface
- TrustRegionStrategy::Summary ComputeStep(
- const TrustRegionStrategy::PerSolveOptions& per_solve_options,
- SparseMatrix* jacobian,
- const double* residuals,
- double* step) final;
- void StepAccepted(double step_quality) final;
- void StepRejected(double step_quality) final;
- void StepIsInvalid() final {
- // Treat the current step as a rejected step with no increase in
- // solution quality. Since rejected steps lead to decrease in the
- // size of the trust region, the next time ComputeStep is called,
- // this will lead to a better conditioned system.
- StepRejected(0.0);
- }
- double Radius() const final;
- private:
- LinearSolver* linear_solver_;
- double radius_;
- double max_radius_;
- const double min_diagonal_;
- const double max_diagonal_;
- double decrease_factor_;
- bool reuse_diagonal_;
- Vector diagonal_; // diagonal_ = diag(J'J)
- // Scaled copy of diagonal_. Stored here as optimization to prevent
- // allocations in every iteration and reuse when a step fails and
- // ComputeStep is called again.
- Vector lm_diagonal_; // lm_diagonal_ = sqrt(diagonal_ / radius_);
- ContextImpl* context_;
- int num_threads_;
- };
- } // namespace ceres::internal
- #include "ceres/internal/reenable_warnings.h"
- #endif // CERES_INTERNAL_LEVENBERG_MARQUARDT_STRATEGY_H_
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