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Everything about Value function
Maximized objective function of an optimization problem
The value function of an optimization problem gives the value attained by the objective function at a solution, while only depending on the parameters of the problem. In a controlled dynamical system, the value function represents the optimal payoff of the system over the interval when started at the time- state variable. If the objective function represents some cost that is to be minimized, the value function can be interpreted as the cost to finish the optimal program, and is thus referred to as "cost-to-go function." In an economic context, where the objective function usually represents utility, the value function is conceptually equivalent to the indirect utility function. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Value functionA 5-minute orientation
- Skim a recent paper: Function and therapeutic value of astrocytes in neurological diseasesInfluential work since 2022
- Pick up a classic book: Neuere Untersuchungen über eindeutige analytische FunktionenThe most-reprinted book on the subject
- Read the landmark paper: Multi-ethnic reference values for spirometry for the 3–95-yr age range: the global lung function 2012 equationsCited 5,568 times
- Go sideways: Hamiltonian (control theory)A closely related topic
- Go sideways: Optimal controlA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
No outline available.
🏆 Landmark papers (most cited)
Multi-ethnic reference values for spirometry for the 3–95-yr age range: the global lung function 2012 equations
Prognostic value of endothelial function
The value function of an integer program
Value of Liver Function Tests in Cirrhosis
Algorithmic Survey of Parametric Value Function Approximation
On the absolute value of Ramanujan's ?-function
The triad value function – theorizing the value potential of connected relationships
Platelet-Function Tests: Predictive Value
🆕 Influential since 2022
Function and therapeutic value of astrocytes in neurological diseases
Precision Rehabilitation: Optimizing Function, Adding Value to Health Care
Prognostic Value of Microvascular Function in Takotsubo Syndrome
Value-Function-Based Sequential Minimization for Bi-Level Optimization
Determination of a Representative Collective Value Function Through a Value Function-Based Consensus-Reaching Process
📚 Books worth reading
- 📕Neuere Untersuchungen über eindeutige analytische FunktionenHans Wittich · 1955
A Course in Mathematical AnalysisD. J. H. Garling · 2013
Green's functions and boundary value problemsIvar Stakgold · 2010
Fourier series and boundary value problemsJames Ward Brown, Ruel Vance Churchill · 1993
Complex variable methods in elasticityA. H. England · 1971
Matrix and operator valued functionsGohberg, I., L. A. Sakhnovich · 1994
Uravnenii͡a︡ matematicheskoĭ fizikiV. S. Vladimirov · 1971
Elementary differential equations with boundary value problemsC. H. Edwards, Henry Edwards · 2007
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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