Faithful Approximations of Belief Functions

01/23/2013
by   David Harmanec, et al.
0

A conceptual foundation for approximation of belief functions is proposed and investigated. It is based on the requirements of consistency and closeness. An optimal approximation is studied. Unfortunately, the computation of the optimal approximation turns out to be intractable. Hence, various heuristic methods are proposed and experimantally evaluated both in terms of their accuracy and in terms of the speed of computation. These methods are compared to the earlier proposed approximations of belief functions.

READ FULL TEXT

page 1

page 2

page 3

page 4

page 5

page 7

page 8

research
12/07/2018

On Marginally Correct Approximations of Dempster-Shafer Belief Functions from Data

Mathematical Theory of Evidence (MTE), a foundation for reasoning under ...
research
05/16/2003

Clustering belief functions based on attracting and conflicting metalevel evidence

In this paper we develop a method for clustering belief functions based ...
research
01/30/2013

Tractable Inference for Complex Stochastic Processes

The monitoring and control of any dynamic system depends crucially on th...
research
08/14/2019

Toward a Dempster-Shafer theory of concepts

In this paper, we generalize the basic notions and results of Dempster-S...
research
07/30/2014

Consistent transformations of belief functions

Consistent belief functions represent collections of coherent or non-con...
research
08/18/2022

Quantitative Universal Approximation Bounds for Deep Belief Networks

We show that deep belief networks with binary hidden units can approxima...
research
08/17/2019

Onset detection: A new approach to QBH system

Query by Humming (QBH) is an system to provide a user with the song(s) w...

Please sign up or login with your details

Forgot password? Click here to reset