We also derive an upper bound for the risk associated with regression problems using a random feature matrix. This upper bound exhibits the double descent phenomenon and indicates that this is an effect of the double descent behaviour of the condition number. The risk bounds i...
Another way of posing the question is to ask whether the “myths of descent, symbols and traditions”, which is Kaufmann’s (ibid. 1) description of the content of “ethnic identity”, could ever be innocent, that is, non-racist, in the particular case of “white”. It is difficult ...
Kamen Rider W (仮面ライダーW(ダブル), Kamen Raidā Daburu, "Kamen Rider Double") may refer to any of the following partners and characters. When Shotaro and Philip set their Gaia Memories into the Doubledriver Belt, Philip's conscious mind enters Shota
The transition amplitude (19) is computed using the steepest descent method. In which, we look for values of the variables t, \(t^{\prime}\)t″ and \(\tilde{{{\bf{k}}}\) such that the action is stationary. This leads to the following saddle-point equations $${\left[\tilde{{{\...
As a continuation, we further explore the concept of double optimal iterative algorithm with an m-vector in a Krylov subspace as a descent direction to solve Equation (1). The remaining parts of this paper are arranged as follows. In Section 2, we review the invariant-manifold method. The ...
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Furthermore, we show the connection to the Toland dual problem and prove a descent property for the objective function values of a primal-dual formulation of the problem. Convergence of the iterates is shown if this objective function satisfies the Kurdyka–Łojasiewicz property. In the last ...
This framework includes a reputation-aware coordination mechanism, a communication mechanism based on secret sharing, and a secure stochastic gradient descent (SGD) scheme, which can effectively enhance security. Xu et al. [14] proposed a multi-source data privacy protection method that combines ...
steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights. imrp int. math. res. pap. 48673 , 1–77 (2006) mathscinet math google scholar mehta, m.l.: random matrices. pure and ...
hallmarks of her world are flipped on their head. Her journey (and Ken's own descent into the temptations of the patriarchy and toxic masculinity) leads her to understand the juxtaposition between what Barbie stands for and the ways in which she's been twisted by the very system that ...