We present a new reformulation as a jointly convex generalized Nash equilibrium problem. We study a finite element approximation of such a multiobjective optimal control problem, and further we prove convergence
In the considered problems, the switching communication networks are supposed to be jointly strongly connected, and each player’s action set is supposed to be compact and convex. By utilizing the projected gradient play and the consensus protocol, distributed Nash equilibrium seeking strategies are ...
Hence, the loss function is biconvex. Instead of using a generic optimizer, we exploited the biconvex nature of this problem and effectively optimized the function by using alternative convex search, which iteratively updates these two variables31. Algorithm 1. sigLASSO algorithm 1: initialization:...
Traditional ridge regression (RR) utilizingL2-norm as basic measurement is sensitive to outliers and it has the potential risk of overfitting in the computing procedure while dealing with recognition task. Also, the projection number learned by RR is no more than the number of class. LDA is als...
vector-valued function spacesBanach function algebrasbiseparating mapsPrimary 47B38Secondary 47B4846J10Let X and Y be compact Hausdorff spaces, E be a real or complex Banach space and F be a real or complex locally convex topological ve...
Jointly owned propertyAn enterprise is owned jointly by m agents, the ith agent's share being θ i > 0 where ∑ i θ i=1. The enterprise is able to produce some non-negative n-vector x of goods where x lies in some convex production set X. An operation consists of choosing a ...
The existence and nature of location of the constrained MLE are explored within a data-dependent convex set using recent results from random matrix theory. A simulation study illustrates our methodology and shows that the modified estimators perform better than the initial estimators from the iterative...
Furthermore, He, Yuan, and Hou [13] investigated surjective maps for quantum states that preserve the quantum entropy of convex combinations. In recent years, the scope of preserver problems has naturally expanded to include the study of pairs of maps that are jointly preserving certain properties...
If the 𝛼α-sets of 𝐴˜A˜ are all convex sets, then 𝐴˜A˜ is a convex fuzzy set. The support of 𝐴˜A˜ is 𝐴0={𝑦∈𝒜:𝜉𝐴˜(𝑦)>0}A0={y∈A:ξA˜(y)>0} and the core is the set of all its maximal points 𝐴𝑐={𝑦∈𝒜:𝜉𝐴...