Add to ORKGIn interval computations, at each intermediate stage of the computation, we have intervals of possible values of the corresponding quantities. In our previous papers, we proposed an extension of this technique to set computations, where on each stage, in addition to intervals of possible values of the quantities, we also keep sets of possible values of pairs (triples, etc.). In this paper, we show that in several practical problems, such as estimating statistics (variance, correlation, etc.) and solutions to ordinary differential equations (ODEs) with given accuracy, this new formalism enables us to find estimates in feasible (polynomial) time
Traditional interval computations provide an estimate for the result y=f(x1,...,xn) of data processi...
Abstract. This paper contribution is about guaranteed numerical methods based on interval analysis f...
accepted to IWANN 07 conferenceThis paper contribution is about guaranteed numerical methods based o...
In interval computations, at each intermediate stage of the computation, we have intervals of possib...
Interval computations estimate the uncertainty of the result of data processing in situations in whi...
When we have only interval ranges [xi-,xi+] of sample values x1,...,xn, what is the interval [V-,V+]...
In data processing, we often encounter the following problem: Suppose that we have processed the mea...
AbstractIt is well known that interval computations are very important, both by themselves (as a met...
In many practical situations, we need to combine probabilistic and interval uncertainty. For example...
ABSTRACT In data processing, we often encounter the following problem: Suppose that we have processe...
In many areas of science and engineering, it is desirable to estimate statistical characteristics (m...
In many applications, we know the function f(x1,...,xn), we know the intervals [xi] of possible valu...
It is well known that interval computations are very important, both by themselves (as a method for ...
In many practical situations, the quantity of interest is difficult to measure directly. In such sit...
In many engineering situations, we need to make decisions under uncertainty. In some cases, we know ...
Traditional interval computations provide an estimate for the result y=f(x1,...,xn) of data processi...
Abstract. This paper contribution is about guaranteed numerical methods based on interval analysis f...
accepted to IWANN 07 conferenceThis paper contribution is about guaranteed numerical methods based o...
In interval computations, at each intermediate stage of the computation, we have intervals of possib...
Interval computations estimate the uncertainty of the result of data processing in situations in whi...
When we have only interval ranges [xi-,xi+] of sample values x1,...,xn, what is the interval [V-,V+]...
In data processing, we often encounter the following problem: Suppose that we have processed the mea...
AbstractIt is well known that interval computations are very important, both by themselves (as a met...
In many practical situations, we need to combine probabilistic and interval uncertainty. For example...
ABSTRACT In data processing, we often encounter the following problem: Suppose that we have processe...
In many areas of science and engineering, it is desirable to estimate statistical characteristics (m...
In many applications, we know the function f(x1,...,xn), we know the intervals [xi] of possible valu...
It is well known that interval computations are very important, both by themselves (as a method for ...
In many practical situations, the quantity of interest is difficult to measure directly. In such sit...
In many engineering situations, we need to make decisions under uncertainty. In some cases, we know ...
Traditional interval computations provide an estimate for the result y=f(x1,...,xn) of data processi...
Abstract. This paper contribution is about guaranteed numerical methods based on interval analysis f...
accepted to IWANN 07 conferenceThis paper contribution is about guaranteed numerical methods based o...