Towards interval techniques for model validation

Nava, Jaime; Kreinovich, Vladik

doi:10.1007/s00607-011-0166-8

Cited by 2 publications

(2 citation statements)

References 15 publications

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“…In this section, we gauge the model's accuracy by coming up with a guaranteed upper bound for the difference between the model's prediction and actual values. This approach first appeared in [111]. In measurements, once we have the measurement result x and the bound Δ for which | x − x| ≤ Δ , the only information that we have about the actual (unknown) values x is that x belongs to the interval [ x − Δ , x + Δ ]; see, e.g., [96].…”

Section: Limitation Of the Probabilistic Approach: Description And Nementioning

confidence: 99%

Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering

Nava¹,

Kreinovich²

2015

Studies in Systems, Decision and Control

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The series "Studies in Systems, Decision and Control" (SSDC) covers both new developments and advances, as well as the state of the art, in the various areas of broadly perceived systems, decision making and control-quickly, up to date and with a high quality. The intent is to cover the theory, applications, and perspectives on the state of the art and future developments relevant to systems, decision making, control, complex processes and related areas, as embedded in the fields of engineering, computer science, physics, economics, social and life sciences, as well as the paradigms and methodologies behind them. The series contains monographs, textbooks, lecture notes and edited volumes in systems, decision making and control spanning the areas of Cyber-Physical SystemsSocial Systems, Economic Systems and other. Of particular value to both the contributors and the readership are the short publication timeframe and the world-wide distribution and exposure which enable both a wide and rapid dissemination of research output.More information about this series at

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Section: Limitation Of the Probabilistic Approach: Description And Nementioning

confidence: 99%

Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering

Nava¹,

Kreinovich²

2015

Studies in Systems, Decision and Control

Self Cite

View full text Add to dashboard Cite

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“…The expansion makes use of the number of ways in which configurational arrangements C'  y occur as substructures in a configuration C  x. The cluster expansion may be conveniently truncated to a limited sequence of non-zero cluster terms z(y), and so applied when the earlier terms alone give a good approximation for the property P. The similarity between Taylor series and this expansion has been studied by Nava et al 38 This method does not require knowing the property values for the nearest neighbours of the substance one is interested in.…”

Section: Klein's Posetic Approachesmentioning

confidence: 99%

Estimating Octanol / Water Partition Coefficients by Order Preserving Mappings

Brüggemann¹,

Restrepo²

2013

Croat. Chem. Acta

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Abstract. Douglas Jay Klein and other researchers have seen that there is a great potential in applying partial order in the field of QSAR. The basic idea is to deduce from order relations among chemicals, properties of the ordered chemicals. Despite the satisfactory results found by Klein's methods, we think it is worth exploring another feature of the poset of chemicals used in Klein's approaches, namely the average posetic height, h av , of each chemical. In the current paper we explore some methods to calculate these heights and use them as independent variables for modelling a chemical property that is also modelled by Klein's approaches, namely octanol / water partition coefficient K OW . It turned out that the application of average heights, h av , as predictors of a linear log K OW estimation leads to reasonable results in the application example of chlorophenols.

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Towards interval techniques for model validation

Cited by 2 publications

References 15 publications

Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering

Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering

Estimating Octanol / Water Partition Coefficients by Order Preserving Mappings

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