Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 7 August 2020Accepted: 18 June 2021Published online: 16 September 2021Keywordsdeep learning, deep equilibrium models, Perron--Frobenius theory, fixed-point equations, robustness, adversarial attacksAMS Subject Headings690C26, 49M99, 65K10, 62M45, 26B10Publication DataISSN...

Abstract The paper introduces a subclass of nonlinear differential-algebraic models interest for applications. By restricting the nonlinearities to multilinear polynomials, it is possible use modern tensor methods. This opens door new approximation and complexity reduction methods large scale systems with relevant behavior. modeling procedures including composition, decomposition, normalization...

Attention computes the dependency between representations, and it encourages model to focus on important selective features. Attention-based models, such as Transformer graph attention network (GAT), are widely utilized for sequential data graph-structured data. This paper suggests a new interpretation generalized structure of in GAT. For GAT, we derive that is product two parts: 1) RBF kernel ...

the aim of this study was to evaluate the effect of handedness and two practice types (explicit vs. implicit) on motor sequence learning. 60 girls (age range of 14 – 17 years old) were randomly assigned to four groups according to their handedness: right–handed-explicit, right–handed–implicit, left–handed-explicit, and left–handed-implicit. participants’ task was accuracy and time of sequential...

We introduce a general implicit algorithm for finding a common element of‎ ‎the set of solutions of systems of equilibrium problems and the set of common fixed points‎ ‎of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings‎. ‎Then we prove the strong convergence of the proposed implicit scheme to the unique solution of the minimization problem on the so...