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Longer titles found: PDE-constrained optimization (view)

searching for Constrained optimization 105 found (154 total)

alternate case: constrained optimization

Augmented Lagrangian method (1,940 words) [view diff] exact match in snippet view article find links to article

for solving constrained optimization problems. They have similarities to penalty methods in that they replace a constrained optimization problem by a

MINOS (optimization software) (508 words) [view diff] exact match in snippet view article

work on MINOS. Despite being one of the first general-purpose constrained optimization solvers to emerge, the package remains heavily used. MINOS is supported

Barrier function (596 words) [view diff] exact match in snippet view article find links to article

In constrained optimization, a field of mathematics, a barrier function is a continuous function whose value increases to infinity as its argument approaches

Scenario optimization (1,258 words) [view diff] exact match in snippet view article find links to article

technique for obtaining solutions to robust optimization and chance-constrained optimization problems based on a sample of the constraints. It also relates

Subgradient method (1,496 words) [view diff] exact match in snippet view article find links to article

subgradient method is the projected subgradient method, which solves the constrained optimization problem minimize f ( x ) {\displaystyle f(x)\ } subject to x

Lagrange multiplier (7,987 words) [view diff] exact match in snippet view article find links to article

{\displaystyle g(x)=0~.} The solution corresponding to the original constrained optimization is always a saddle point of the Lagrangian function, which can

Lagrange multipliers on Banach spaces (683 words) [view diff] exact match in snippet view article find links to article

Banach spaces can be used to solve certain infinite-dimensional constrained optimization problems. The method is a generalization of the classical method

Regina S. Burachik (225 words) [view diff] exact match in snippet view article find links to article

inequalities, the latter being a generalization of the convex constrained optimization problem." with A. N. Iusem and B. F. Svaiter. "Enlargement of monotone

JModelica.org (769 words) [view diff] case mismatch in snippet view article find links to article

is provided in the report Open-Source Software for Nonlinear Constrained Optimization of Dynamic Systems. The Eclipse plug-in for editing of Modelica

Robust optimization (3,410 words) [view diff] exact match in snippet view article find links to article

distinguished from, probabilistic optimization methods such as chance-constrained optimization. The origins of robust optimization date back to the establishment

Test functions for optimization (795 words) [view diff] case mismatch in snippet view article find links to article

Korn U. (1997) MOBES: A Multiobjective Evolution Strategy for Constrained Optimization Problems. In: Proceedings of the Third International Conference

Limited-memory BFGS (2,378 words) [view diff] case mismatch in snippet view article find links to article

Nocedal, J.; Zhu, C. (1995). "A Limited Memory Algorithm for Bound Constrained Optimization". SIAM J. Sci. Comput. 16 (5): 1190–1208. Bibcode:1995SJSC...16

Effect of gait parameters on energetic cost (2,419 words) [view diff] exact match in snippet view article find links to article

the curve for optimal COT under constrained walking speed. These constrained optimization values not only reflect the naturally selected preferred gait parameters

Margaret H. Wright (1,844 words) [view diff] exact match in snippet view article find links to article

in 1976. Her thesis was on numerical methods for nonlinearly constrained optimization. After obtaining her Ph.D. in 1976, Wright joined George Dantzig's

GAUSS (software) (165 words) [view diff] case mismatch in snippet view article

likelihood problem subject to general constraints on the parameters. Constrained Optimization Solves the nonlinear programming problem subject to general constraints

Approximate inference (94 words) [view diff] case mismatch in snippet view article find links to article

Statistical inference Fuzzy logic Data mining "Approximate Inference and Constrained Optimization". Uncertainty in Artificial Intelligence: 313–320. 2003. "Approximate

Interpolation (3,033 words) [view diff] exact match in snippet view article find links to article

functions where the solution to a constrained optimization problem resides. Consequently, TFC transforms constrained optimization problems into equivalent unconstrained

Michael Heath (computer scientist) (411 words) [view diff] case mismatch in snippet view article

dissertation was entitled Numerical Algorithms for Nonlinearly Constrained Optimization and was completed under the direction of Gene Golub.[H78] Prior

Hessian matrix (3,537 words) [view diff] exact match in snippet view article find links to article

case of those given in the next section for bordered Hessians for constrained optimization—the case in which the number of constraints is zero. Specifically

SNOPT (197 words) [view diff] exact match in snippet view article find links to article

M.A. Saunders (2005). "SNOPT: An SQP algorithm for large-scale constrained optimization" (PDF). SIAM Review. 47 (1): 99–131. Bibcode:2005SIAMR..47...99G

Random optimization (613 words) [view diff] exact match in snippet view article find links to article

Baba, N. (1981). "Convergence of a random optimization method for constrained optimization problems". Journal of Optimization Theory and Applications. 33

Learnable evolution model (511 words) [view diff] case mismatch in snippet view article find links to article

(link) Wojtusiak, J. (July 8–12, 2006), "Initial Study on Handling Constrained Optimization Problems in Learnable Evolution Model", Proceedings of the Graduate

Karp's 21 NP-complete problems (486 words) [view diff] exact match in snippet view article find links to article

Zuckerman showed in 1996 that every one of these 21 problems has a constrained optimization version that is impossible to approximate within any constant factor

Rolf Rannacher (539 words) [view diff] case mismatch in snippet view article find links to article

editor with others: Trends in PDE Constrained Optimization, Birkhäuser 2014 as editor with others: Constrained Optimization and Optimal Control for Partial

Monotone comparative statics (8,477 words) [view diff] case mismatch in snippet view article find links to article

17, 773–787. Quah, J. K.-H. (2007): “The Comparative Statics of Constrained Optimization Problems,” Econometrica, 75(2), 401–431. See Athey, S. (2002):

Prey switching (1,508 words) [view diff] exact match in snippet view article find links to article

and the interpretation of animal choice behavior: the case for constrained optimization", in Hughes, Roger N (ed.), Behavioural Mechanisms of Food Selection

Ladyzhenskaya–Babuška–Brezzi condition (1,375 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \nabla \cdot u=0.} Using the usual approach to constrained optimization problems, one can form a Lagrangian L ( u , λ ) = I ( u ) − ( λ

Trust region (759 words) [view diff] exact match in snippet view article find links to article

and G. A. Schultz. "A trust region algorithm for nonlinearly constrained optimization", SIAM J. Numer. Anal., 24 (1987), pp. 1152–1170. Yuan, Y. "A review

Silvia Ferrari (1,445 words) [view diff] case mismatch in snippet view article find links to article

networks". IEEE Xplore. Silvia Ferrari, and Mark Jensenius. "A Constrained Optimization Approach to Preserving Prior Knowledge during Incremental Training"

Invex function (1,119 words) [view diff] exact match in snippet view article find links to article

A.; Mond, B. (1987). "Necessary and sufficient conditions in constrained optimization". Mathematical Programming. 37 (1): 51–58. doi:10.1007/BF02591683

Second partial derivative test (1,235 words) [view diff] exact match in snippet view article find links to article

discussion that generalizes these rules to the case of equality-constrained optimization. To find and classify the critical points of the function z = f

AWM/MAA Falconer Lecture (607 words) [view diff] case mismatch in snippet view article find links to article

Margaret H. Wright, Bell Labs, "The Interior-Point Revolution in Constrained Optimization" 1999 Chuu-Lian Terng, Northeastern University, "Geometry and Visualization

Karush–Kuhn–Tucker conditions (3,966 words) [view diff] exact match in snippet view article find links to article

and ℓ {\displaystyle \ell } respectively. Corresponding to the constrained optimization problem one can form the Lagrangian function L ( x , μ , λ ) =

SuanShu numerical library (371 words) [view diff] exact match in snippet view article find links to article

root finding curve fitting and interpolation unconstrained and constrained optimization statistical analysis linear regression probability distributions

Robert B. Schnabel (757 words) [view diff] exact match in snippet view article find links to article

numerical computation, numerical solution of unconstrained and constrained optimization problems, solution of systems of nonlinear equations, and nonlinear

Price optimization (932 words) [view diff] exact match in snippet view article find links to article

that best meet corporate goals can be formulated and solved as a constrained optimization process. The form of the optimization is determined by the underlying

Solid Modeling Solutions (1,680 words) [view diff] exact match in snippet view article find links to article

NURBS curves and surfaces. VSLib – deformable modeling using the constrained optimization techniques of the calculus of variations. PolyMLib – an object-oriented

PSeven (660 words) [view diff] exact match in snippet view article find links to article

implemented in pSeven allow solving single and multi-objective constrained optimization problems as well as robust and reliability-based design optimization

W. Wallace McDowell Award (444 words) [view diff] exact match in snippet view article find links to article

contributions to the theory and applications of nonlinear and resource-constrained optimization. 2007 Anil K. Jain For pioneering contributions to theory, technique

Maximum entropy probability distribution (4,479 words) [view diff] exact match in snippet view article find links to article

{\boldsymbol {\lambda }}=(\lambda _{1},\ldots ,\lambda _{n})} solve the constrained optimization problem with a 0 = 1 {\displaystyle a_{0}=1} (which ensures that

Emilio Spedicato (745 words) [view diff] exact match in snippet view article find links to article

include: unification of algorithms for linear systems and linearly constrained optimization improvement of the classic method of Gauss for linear system, by

Shephard's lemma (721 words) [view diff] exact match in snippet view article find links to article

{\displaystyle e(p_{1},p_{2},u)} is the value function of the constrained optimization problem characterized by the following Lagrangian: L = p 1 x 1

Claude Lemaréchal (1,257 words) [view diff] exact match in snippet view article find links to article

programming problems and the exponential method of multipliers". Constrained optimization and Lagrange multiplier methods. Computer Science and Applied Mathematics

Dimitri Bertsekas (1,419 words) [view diff] case mismatch in snippet view article find links to article

measure-theoretic foundations of dynamic programming and stochastic control. "Constrained Optimization and Lagrange Multiplier Methods" (1982), the first monograph that

Minimal residual method (1,117 words) [view diff] exact match in snippet view article find links to article

1137/0712047. Nifa, M. Naoufal (24 November 2017). Efficient solvers for constrained optimization in parameter identification problems (PDF) (Doctoral Thesis). Université

PROSE modeling language (2,494 words) [view diff] exact match in snippet view article find links to article

unwanted extrema during its search process; HERCULES – a special constrained optimization solver for linear, integer, and mixed-integer problems; JOVE –

Chance-constrained portfolio selection (480 words) [view diff] exact match in snippet view article find links to article

Bay, X., X. Zheng and X. Sun (2012), "A survey on probabilistic constrained optimization problems," Numerical Algebra, Control and Optimization, 2, No.

Placement (electronic design automation) (1,994 words) [view diff] exact match in snippet view article

of the subsequent stage of routing. Placement is formulated as constrained optimization. In particular, the clock cycle of a chip is determined by the

Rate–distortion theory (2,327 words) [view diff] case mismatch in snippet view article find links to article

Huleihel, Bashar; Permuter, Haim H. (2024). "On Rate Distortion via Constrained Optimization of Estimated Mutual Information". IEEE Access. 12: 137970–137987

Roy's identity (812 words) [view diff] exact match in snippet view article find links to article

{\displaystyle v(p_{1},p_{2},w)} is the value function of the constrained optimization problem characterized by the following Lagrangian: L = u ( x 1

Marshallian demand function (1,459 words) [view diff] exact match in snippet view article find links to article

{\displaystyle u(x_{1},x_{2})=x_{1}^{\alpha }x_{2}^{\beta }.} The constrained optimization leads to the Marshallian demand function: x ∗ ( p 1 , p 2 , I )

Dan Kalman (1,130 words) [view diff] case mismatch in snippet view article find links to article

Dan (June 2009). "Leveling with Lagrange: An Alternate View of Constrained Optimization" (PDF). Mathematics Magazine. 82 (3): 186–196. doi:10.1080/0025570X

Broyden–Fletcher–Goldfarb–Shanno algorithm (2,987 words) [view diff] case mismatch in snippet view article find links to article

Jorge; Zhu, Ciyou (1995), "A Limited Memory Algorithm for Bound Constrained Optimization", SIAM Journal on Scientific Computing, 16 (5): 1190–1208, CiteSeerX 10

Léon Walras (3,317 words) [view diff] exact match in snippet view article find links to article

mécanique céleste. Glötzl, Erhard; Richters, Oliver (2019). "From constrained optimization to constrained dynamics: extending analogies between economics

Bregman method (1,583 words) [view diff] exact match in snippet view article find links to article

_{u}|\Phi u|_{1}+|Ku-f|^{2}} . We start by rewriting it as the constrained optimization problem min u : d = Φ ( u ) | d | 1 + H ( u ) {\displaystyle \min

Non-equilibrium economics (1,426 words) [view diff] exact match in snippet view article find links to article

Glötzl, Erhard; Glötzl, Florentin; Richters, Oliver (2019). "From constrained optimization to constrained dynamics: extending analogies between economics

Mutual fund separation theorem (1,874 words) [view diff] exact match in snippet view article find links to article

matrix of the individual assets' returns. The Lagrangian for this constrained optimization problem (whose second-order conditions can be shown to be satisfied)

One-class classification (2,314 words) [view diff] exact match in snippet view article find links to article

(SVDD). Formally, the problem can be defined in the following constrained optimization form, min r , c r 2 subject to, | | Φ ( x i ) − c | | 2 ≤ r 2

Chen Greif (327 words) [view diff] exact match in snippet view article find links to article

elliptic partial differential equations Linear algebra aspects of constrained optimization problems Ascher UM, Greif C, editors. A first course in numerical

Database marketing (2,216 words) [view diff] exact match in snippet view article find links to article

(One to One), Current. Prinzie Anita, Dirk Van den Poel (2005), "Constrained optimization of data-mining problems to improve model performance: A direct-marketing

Economic model (3,856 words) [view diff] exact match in snippet view article find links to article

showing the experiment was conducted improperly. Optimality and constrained optimization models – Other examples of quantitative models are based on principles

Chance constrained programming (678 words) [view diff] exact match in snippet view article find links to article

satisfied simultaneously with a certain probability. A general chance constrained optimization problem can be formulated as follows: min f ( x , u , ξ ) s.t.

List of finite element software packages (259 words) [view diff] exact match in snippet view article find links to article

HiOp. Built-in SLBQP optimizer Support for TAO- and nlopt-based constrained optimization solvers incorporating gradient and Hessian information. HIP: Yes

Ivar Ekeland (2,261 words) [view diff] exact match in snippet view article find links to article

programming problems and the exponential method of multipliers". Constrained optimization and Lagrange multiplier methods (Reprint of (1982) Academic Press ed

Evolutionary algorithm (4,553 words) [view diff] case mismatch in snippet view article find links to article

Wainwright, R.L. (2006). "A Two-Population Evolutionary Algorithm for Constrained Optimization Problems" (PDF). 2006 IEEE International Conference on Evolutionary

Daniele Mortari (1,239 words) [view diff] exact match in snippet view article find links to article

that fully satisfies the constraints. Using these functionals, constrained optimization problems are transformed into unconstrained problems. Then, already

Principle of maximum entropy (4,196 words) [view diff] exact match in snippet view article find links to article

information entropy, subject to the constraints of the information. This constrained optimization problem is typically solved using the method of Lagrange multipliers

Vilfredo Pareto (3,796 words) [view diff] exact match in snippet view article find links to article

Glötzl, Erhard; Glötzl, Florentin; Richters, Oliver (2019). "From constrained optimization to constrained dynamics: extending analogies between economics

Pierre-Louis Lions (2,101 words) [view diff] exact match in snippet view article find links to article

considered the solutions of the equation as rescalings of minima of a constrained optimization problem, based upon a modified Dirichlet energy. Making use of

Multidisciplinary design optimization (2,870 words) [view diff] exact match in snippet view article find links to article

function exceeding some random variable). Because it changes the constrained optimization problem associated with reliability-based optimization into an

Simulated annealing (4,628 words) [view diff] case mismatch in snippet view article find links to article

Monte-Carlo Method for the Approximate Solution of Certain Types of Constrained Optimization Problems". Journal of the Operations Research Society of America

Gekko (optimization software) (1,988 words) [view diff] exact match in snippet view article

similar to other popular packages. The problem is solved as a constrained optimization problem and is converged when the solver satisfies Karush–Kuhn–Tucker

Griewank function (634 words) [view diff] exact match in snippet view article find links to article

tasks such as hyperparameter tuning, neural network training, and constrained optimization. Griewank, A. O. "Generalized Descent for Global Optimization."

David Mayne (1,625 words) [view diff] case mismatch in snippet view article find links to article

Mayne and E. Polak, A Superlinearly Convergent Algorithm for Constrained Optimization Problems, Mathematical Programming Studies, 16:45--61, 1982. Polak

Generalized minimal residual method (3,328 words) [view diff] exact match in snippet view article find links to article

contraintes en identification de paramètres [Efficient solvers for constrained optimization in parameter identification problems] (Thesis) (in French). Eisenstat

Model order reduction (3,265 words) [view diff] exact match in snippet view article find links to article

Anderson; Amsallem, David; Farhat, Charbel (2020). "Gradient-based constrained optimization using a database of linear reduced-order models". Journal of Computational

Ariela Sofer (342 words) [view diff] exact match in snippet view article find links to article

dissertation Efficient matrix methods for solving nonlinearly constrained optimization problems via Newton's method when the projected Lagrangian Hessian

Energy minimization (3,131 words) [view diff] exact match in snippet view article find links to article

energy, E(ri), and forces, -∂E/∂ri and these are treated with a constrained optimization process that seeks to get an as accurate as possible representation

Indifference curve (4,675 words) [view diff] exact match in snippet view article find links to article

origin. This assumption also set the stage for using techniques of constrained optimization because the shape of the curve assures that the first derivative

Support vector machine (9,064 words) [view diff] exact match in snippet view article find links to article

descent will be discussed. Minimizing (2) can be rewritten as a constrained optimization problem with a differentiable objective function in the following

Organizational theory (6,416 words) [view diff] exact match in snippet view article find links to article

publications. The contingency theory views organization design as "a constrained optimization problem," meaning that an organization must try to maximize performance

Irving Fisher (4,941 words) [view diff] exact match in snippet view article find links to article

Glötzl, Erhard; Glötzl, Florentin; Richters, Oliver (2019). "From constrained optimization to constrained dynamics: extending analogies between economics

Marco Claudio Campi (1,056 words) [view diff] exact match in snippet view article find links to article

Campi and S. Garatti. A sampling-and-discarding approach to chance-constrained optimization: Feasibility and optimality, Journal of Optimization Theory and

Interior-point method (4,691 words) [view diff] exact match in snippet view article find links to article

^{n}\to \mathbb {R} .\end{aligned}}\quad (1)} This inequality-constrained optimization problem is solved by converting it into an unconstrained objective

Mario A. T. Figueiredo (1,227 words) [view diff] case mismatch in snippet view article find links to article

A T. (2010). "Fast Image Recovery Using Variable Splitting and Constrained Optimization". IEEE Transactions on Image Processing. 19 (9): 2345–2356. arXiv:0910

Envelope theorem (3,974 words) [view diff] exact match in snippet view article find links to article

1\right]} . Under these assumptions, it is well known that the above constrained optimization program can be represented as a saddle-point problem for the Lagrangian

Power system simulation (2,863 words) [view diff] exact match in snippet view article find links to article

constraints are present, such as for dynamic line ratings, chance constrained optimization can be used where the probability of violating a constraint is

Boeing 737 (14,612 words) [view diff] case mismatch in snippet view article find links to article

Retrieved May 29, 2015. "Design, Analysis and Multi-Objective Constrained Optimization of Multi-Winglets" (PDF). Florida International University. Archived

Unit commitment problem in electrical power production (2,611 words) [view diff] exact match in snippet view article find links to article

optimization approaches; Scenario optimization approaches; Chance-constrained optimization approaches. The combination of the (already, many) traditional

Drift plus penalty (7,204 words) [view diff] exact match in snippet view article find links to article

also to queues with finite capacity. The above analysis considers constrained optimization of time averages in a stochastic system that did not have any explicit

Multidimensional spectral estimation (2,385 words) [view diff] exact match in snippet view article find links to article

known autocorrelation coefficients are matched. Limitations It has constrained optimization. It can be overcome by using the method of Lagrange multipliers

Phase-field model (3,879 words) [view diff] exact match in snippet view article find links to article

Rabczuk, Timon (2021). "Isogeometric analysis for a phase-field constrained optimization problem of morphological evolution of vesicles in electrical fields"

Alkylation unit (4,796 words) [view diff] exact match in snippet view article find links to article

optimization algorithm based on an improved deb criterion for constrained optimization problems". PeerJ. doi:10.7717/peerj-cs.1178/table-6. Table 6: The

Anderson acceleration (3,113 words) [view diff] exact match in snippet view article find links to article

_{k})_{i}f_{k-m_{k}+i}} . At each iteration of the algorithm, the constrained optimization problem argmin ⁡ ‖ G k α ‖ 2 {\displaystyle \operatorname {argmin}

Multiplicative weight update method (3,696 words) [view diff] exact match in snippet view article find links to article

The multiplicative weights method is usually used to solve a constrained optimization problem. Let each expert be the constraint in the problem, and

Biogeography-based optimization (3,450 words) [view diff] exact match in snippet view article find links to article

Simon, D. (2011). "Blended biogeography-based optimization for constrained optimization" (PDF). Engineering Applications of Artificial Intelligence. 24

Self-concordant function (4,403 words) [view diff] exact match in snippet view article find links to article

functions are a class of functions that can be used as barriers in constrained optimization methods can be minimized using the Newton algorithm with provable

Structural identifiability (1,495 words) [view diff] exact match in snippet view article find links to article

Evgeny (2020). Beard, Daniel A. (ed.). "Confidence intervals by constrained optimization—An algorithm and software package for practical identifiability

Shapley–Folkman lemma (10,202 words) [view diff] exact match in snippet view article find links to article

programming problems and the exponential method of multipliers". Constrained optimization and Lagrange multiplier methods. Belmont, Mass.: Athena Scientific

History of economic thought (19,886 words) [view diff] exact match in snippet view article find links to article

Glötzl, Erhard; Glötzl, Florentin; Richters, Oliver (2019). "From constrained optimization to constrained dynamics: extending analogies between economics

Incremental deformations (2,954 words) [view diff] exact match in snippet view article find links to article

1098/rspa.2017.0728. ISSN 1364-5021. Bertsekas, Dimitri P. (1996). Constrained optimization and Lagrange multiplier methods. Belmont, Mass.: Athena Scientific

Policy gradient method (6,275 words) [view diff] exact match in snippet view article find links to article

_{t+1}=\theta _{t}+\alpha \nabla _{\theta }J(\theta _{t})} solve a constrained optimization problem: { max θ t + 1 J ( θ t ) + ( θ t + 1 − θ t ) T ∇ θ J (

Mathematics education in the United States (12,483 words) [view diff] exact match in snippet view article find links to article

differentiation, the multivariable chain rule and Clairault's theorem; constrained optimization, Lagrange multipliers and the Hessian; multidimensional integration

List of RNA structure prediction software (8,455 words) [view diff] exact match in snippet view article find links to article

efficiently predicting secondary structure by differentiating through a constrained optimization solver, without using dynamic programming. Yes sourcecode EternaFold

List of fellows of IEEE Communications Society (86 words) [view diff] exact match in snippet view article find links to article

of filter, antenna arrays and telecommunications systems using constrained optimization methods 1998 David Du For contributions to database structures