We analyze ‘Distribution to Distribution regression’ where one is regressing a mapping where both the covariate (inputs) and response (outputs) are distributions. No parameters on the input or output distributions are assumed, nor are any strong assumptions made on the measure from which input distributions are drawn from. We develop an estimator and derive an upper bound for the L2 risk; also,...

The behavioral sciences have flourished by studying how traditional and/or rational behavior has been governed throughout most of human history by relatively well-informed individual and social learning. In the online age, however, social phenomena can occur with unprecedented scale and unpredictability, and individuals have access to social connections never before possible. Similarly, behavio...

Dimension is a standard and well-studied measure of complexity of posets. Recent research has provided many new upper bounds on the dimension for various structurally restricted classes of posets. Bounded dimension gives a succinct representation of the poset, admitting constant response time for queries of the form “is x < y?”. This application motivates looking for stronger notions of dimensi...

In this report, we give a brief survey of various results relating the Teaching Dimension and VC-Dimension. The concept of Teaching Dimension was first introduced by Goldman and Kearns, 1995 and Sinohara and Miyano, 1991. In this model, an algorithm tries to learn the hidden concept c from examples, called the teaching set, which uniquely identifies c from the rest of the concepts in the concep...

behavioral problems in cats have drawn more attention in recent years since they affect the cat-owner relationship. this study was designed to study the rate of cats with undesirable behaviors according to their owners. frequency of behavioral problems in 167 cats attending small animal hospital, faculty of veterinary medicine, university of tehran, was evaluated using a questionnaire. accordin...

‎In this essay we introduce and study the notion of dimension for observers via Caratheodory structures and relative probability measures‎. ‎We show that the dimension as a three variables function is an increasing function on observers‎, ‎and decreasing function on the cuts of an observer‎. ‎We find observers with arbitrary non-negative dimensions‎. ‎We show that Caratheodory dimension for obs...

Using a system of axioms among with a modified definition of boundary on the basis of the intuitionistic fuzzy sets, we formulate an inductive structure for the dimension of fuzzy spaces which has been defined by Coker. This new definition of boundary allows to characterize an intuitionistic fuzzy clopen set as a set with zero boundary. Also, some critical properties and applications are establ...

In two studies, we explore the neurobiological basis of the General Factor of Personality (GFP) by correlating it with measures of the Behavioral Inhibition System–Behavioral Activation System (BIS–BAS), generalized expectancies of reward and punishment, self-esteem, and positive and negative affect. The GFP was measured by aggregating across the scales of the Big Five Inventory (reverse keying...

This study examined the impact of differential-maternal parenting behavior, evaluated as a family-level experience, on children's emotional-behavioral problems. Data come from 3 child development studies: 2,128 four- to sixteen-year-olds (Ontario Child Health Study), 7,392 four- to eleven-year-olds (National Longitudinal Study of Children and Youth), and 1,992 three- to fourteen-year-olds (Nati...