منابع مشابه
Improved Heterogeneous Distance Functions
Instance-based learning techniques typically handle continuous and linear input values well, but often do not handle nominal input attributes appropriately. The Value Difference Metric (VDM) was designed to find reasonable distance values between nominal attribute values, but it largely ignores continuous attributes, requiring discretization to map continuous values into nominal values. This pa...
متن کاملSARDF: Signed Approximate Real Distance Functions in Heterogeneous Objects Modeling
Distribution of material density and other properties of heterogeneous objects can be parametrized by the Euclidean distance function from the object boundary or from special material features. For objects constructed using geometric primitives and set-theoretic operations, an approximation of the distance function can be obtained in a constructive manner by applying special compositing operati...
متن کاملConstructive heterogeneous object modeling using signed approximate real distance functions
We introduce a smooth approximation of the min / max operations, called SARDF (Signed Approximate Real Distance Function), for maintaining an approximate signed distance function in constructive shape modeling. We apply constructive distance-based shape modeling to design objects with heterogeneous material distribution in the constructive hypervolume model framework. The introduced distance ap...
متن کاملBenefit and Distance Functions
We explore the relationship between R. W. Shephard's input distance function (``Cost and Production Functions,'' Princeton Univ. Press, Princeton, 1953) and D. G. Luenberger's benefit function (J. Math. Econ. 21 (1992a), 461 481). We point out that the latter can be recognized in a production context as a directional input distance function which can exhaustively characterize technologies in bo...
متن کاملMultiplicative Distance Functions
We call φ the root function of Φ. The continuity of Φ implies that (1.2) φ(γ) → |γ| as |γ| → ∞. Moreover the converse is true, if φ is continuous and satisfies this asymptotic formula, then the function Φ formed as in (1.1) is a multiplicative distance function. Theorem 1.1. A continuous function φ : C → [0,∞) is the root function of a multiplicative distance function iff it satisfies (1.2). Ar...
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ژورنال
عنوان ژورنال: Journal of Artificial Intelligence Research
سال: 1997
ISSN: 1076-9757
DOI: 10.1613/jair.346