• About Cassio

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    Affine Arithmetic

    by  • 2011/10/03 • Research

    In my previous post, I talked about interval arithmetic, a simple and popular formalism for handling interval data. We saw how interval arithmetic’s simplicity has a downside, namely the error explosion that happens as a consequence of ignoring dependencies between variables. Affine arithmetic was proposed as an alternative, and it explicitly accounts for dependencies between […]

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    Interval Arithmetic

    by  • 2011/09/19 • Research

    Continuing the series on interval methods, this post will give us more details about interval arithmetic, the most popular interval formalism. In interval arithmetic each quantity (think of it as a scalar variable, or a floating point number in your favorite programming language x is represented as an interval , where . Most operations in […]

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    Interval Methods and Robust Optimization

    by  • 2011/08/28 • Research

    Interval methods define representations and operations for computing with intervals. When using intervals, exact quantities are replaced by a range of possibilities, which lets us account for various kinds of errors. These methods are often called interval analysis or interval arithmetic. The latter, however, refers to a specific popular formalism. While computing with ranges and […]

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