ABSTRACT: Let G=( V,E ) be a graph. The first Zagreb index of a graph G is defined as ∑ u∈V d G 2 ( u ) , where d G ( u ) is the degree of vertex u in G . In this paper, we obtain two lower bounds ...

EfficientZero V2 is a general framework designed for sample-efficient RL algorithms. We have expanded the performance of EfficientZero to multiple domains, encompassing both contin- uous and discrete ...

Human reasoning naturally operates through abstract, non-verbal concepts rather than strictly relying on discrete linguistic tokens. However, current LLMs are limited to reasoning within the ...

Add a description, image, and links to the continuous-to-discrete-model topic page so that developers can more easily learn about it.

ABSTRACT: A coloring of G is d-distance if any two vertices at distance at most d from each other get different colors. The minimum number of colors in d-distance colorings of G is its d-distance ...

A key entry point into the digital world, which is more prevalent in modern life for socializing, shopping, gaming, and other activities, is a visually appealing and animate 3D avatar. A decent avatar ...

Roll a die and ask students to identify the random variable. Since a die can only take on values of 1, 2, 3, 4, 5, or 6, this is a discrete random variable. Repeat ...

Teaching students to identify graphs of continuous functions is an important concept in mathematics. Understanding the continuity of a function can help students make predictions about the behavior of ...

Abstract: "We develop a framework for sampling from discrete distributions on the $n$-dimensional hypercube by sampling from continuous distributions obtained by ...