Suppose I have a vector-valued function f(x) = y, where x and y are both vectors of some length (same or different length). f could be evaluated over a regular grid of x values, producing a set of y ...
Abstract: Definition of the weak Pareto improvement and the trap of weak Pareto improvement are given for noncooperative dynamical systems with vector-valued payoff functions. Specifically, we develop ...
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What I'm trying to do is dimensionality reduction of a set of m log files containing n time-related signals. They are all physical signals so they are all related to time t. where all the fnm are ...
Abstract: This paper presents a preliminary implementation of a general modeling framework for vector-valued functions based on a multi-output kernel Ridge regression (KRR). The proposed approach is ...
The striatum is thought to learn to select actions based on environmental feedback and rewards using a dopamine feedback signal. When the action is continuous and mutlidimensional, e.g., a reaching ...
ABSTRACT: The Lebesgue-Nikodym Theorem states that for a Lebesgue measure an additive set function which is -absolutely continuous is the integral of a Lebegsue integrable a measurable function ; that ...
In this paper, the vector-valued regular functions are extended to the locally convex space. The residues theory of the functions in the locally convex space is achieved. Thereby the Cauchy theory and ...