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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_TRUST_REGION_STRATEGY_H_
- #define CERES_INTERNAL_TRUST_REGION_STRATEGY_H_
- #include <memory>
- #include <string>
- #include "ceres/internal/disable_warnings.h"
- #include "ceres/internal/export.h"
- #include "ceres/linear_solver.h"
- namespace ceres::internal {
- class LinearSolver;
- class SparseMatrix;
- // Interface for classes implementing various trust region strategies
- // for nonlinear least squares problems.
- //
- // The object is expected to maintain and update a trust region
- // radius, which it then uses to solve for the trust region step using
- // the jacobian matrix and residual vector.
- //
- // Here the term trust region radius is used loosely, as the strategy
- // is free to treat it as guidance and violate it as need be. e.g.,
- // the LevenbergMarquardtStrategy uses the inverse of the trust region
- // radius to scale the damping term, which controls the step size, but
- // does not set a hard limit on its size.
- class CERES_NO_EXPORT TrustRegionStrategy {
- public:
- struct Options {
- TrustRegionStrategyType trust_region_strategy_type = LEVENBERG_MARQUARDT;
- // Linear solver used for actually solving the trust region step.
- LinearSolver* linear_solver = nullptr;
- double initial_radius = 1e4;
- double max_radius = 1e32;
- // Minimum and maximum values of the diagonal damping matrix used
- // by LevenbergMarquardtStrategy. The DoglegStrategy also uses
- // these bounds to construct a regularizing diagonal to ensure
- // that the Gauss-Newton step computation is of full rank.
- double min_lm_diagonal = 1e-6;
- double max_lm_diagonal = 1e32;
- // Further specify which dogleg method to use
- DoglegType dogleg_type = TRADITIONAL_DOGLEG;
- ContextImpl* context = nullptr;
- int num_threads = 1;
- };
- // Factory.
- static std::unique_ptr<TrustRegionStrategy> Create(const Options& options);
- virtual ~TrustRegionStrategy();
- // Per solve options.
- struct PerSolveOptions {
- // Forcing sequence for inexact solves.
- double eta = 1e-1;
- DumpFormatType dump_format_type = TEXTFILE;
- // If non-empty and dump_format_type is not CONSOLE, the trust
- // regions strategy will write the linear system to file(s) with
- // name starting with dump_filename_base. If dump_format_type is
- // CONSOLE then dump_filename_base will be ignored and the linear
- // system will be written to the standard error.
- std::string dump_filename_base;
- };
- struct Summary {
- // If the trust region problem is,
- //
- // 1/2 x'Ax + b'x + c,
- //
- // then
- //
- // residual_norm = |Ax -b|
- double residual_norm = -1;
- // Number of iterations used by the linear solver. If a linear
- // solver was not called (e.g., DogLegStrategy after an
- // unsuccessful step), then this would be zero.
- int num_iterations = -1;
- // Status of the linear solver used to solve the Newton system.
- LinearSolverTerminationType termination_type =
- LinearSolverTerminationType::FAILURE;
- };
- // Use the current radius to solve for the trust region step.
- virtual Summary ComputeStep(const PerSolveOptions& per_solve_options,
- SparseMatrix* jacobian,
- const double* residuals,
- double* step) = 0;
- // Inform the strategy that the current step has been accepted, and
- // that the ratio of the decrease in the non-linear objective to the
- // decrease in the trust region model is step_quality.
- virtual void StepAccepted(double step_quality) = 0;
- // Inform the strategy that the current step has been rejected, and
- // that the ratio of the decrease in the non-linear objective to the
- // decrease in the trust region model is step_quality.
- virtual void StepRejected(double step_quality) = 0;
- // Inform the strategy that the current step has been rejected
- // because it was found to be numerically invalid.
- // StepRejected/StepAccepted will not be called for this step, and
- // the strategy is free to do what it wants with this information.
- virtual void StepIsInvalid() = 0;
- // Current trust region radius.
- virtual double Radius() const = 0;
- };
- } // namespace ceres::internal
- #include "ceres/internal/reenable_warnings.h"
- #endif // CERES_INTERNAL_TRUST_REGION_STRATEGY_H_
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