Interval Computations and Their Categorification
نویسندگان
چکیده
منابع مشابه
Maximum Entropy and Interval Computations
Because these fields are closely related, and since this relation is not yet a common knowledge, I would like it to be known to the interval community. Yes, terms that we use are different, and mathematical methods are different, but these different methods are used to solve the same application problems. In solving these problems, interval and maximum entropy methods not only do not compete, t...
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Interval arithmetic is a method for performing computations on measurements that are only known to within a xed error range. As the measurements are combined mathematically, their error intervals are also combined, in a conservative fashion. While the technique of interval analysis has found uses in many areas of computing in recent years, it has not yet been applied heavily in computer vision....
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Monotonicity of functions has been successfully used in many problems of interval computations. However, in the context of interval computations, monotonicity seems somewhat ad hoc. In this paper, we show that monotonicity can be reformulated in interval terms and is, therefore, a natural condition for interval mathematics. One of the main problems of interval computations it to compute the ran...
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This paper reviews work on using interval arithmetic as the basis for next generation spreadsheet programs capable of dealing with rounding errors, imprecise data, and numerical constraints. A series of ever more versatile computational models for spreadsheets are presented beginning from classical interval arithmetic and ending up with interval constraint satisfaction. In order to demonstrate ...
متن کاملParameter Estimation Using Interval Computations
Parameter estimation is the problem of finding the values of the unknowns of a mathematical model for simulating a complex system. A model is generally given by differential equations or systems of equations or inequalities. Interval computations are numerical computations over sets of real numbers. In this paper intervals are used to model uncertainty in parameter estimation problems—for insta...
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ژورنال
عنوان ژورنال: Numerical Algorithms
سال: 2004
ISSN: 1017-1398
DOI: 10.1023/b:numa.0000049463.34981.c8