By Luc De Raedt (auth.), Jean-Gabriel Ganascia, Philippe Lenca, Jean-Marc Petit (eds.)
This publication constitutes the refereed court cases of the fifteenth foreign convention on Discovery technology, DS 2012, held in Lyon, France, in October 2012. The 22 papers provided during this quantity have been rigorously reviewed and chosen from forty six submissions. the sector of discovery technological know-how goals at inducing and validating new clinical hypotheses from information. The scope of this convention comprises the improvement and research of equipment for computerized clinical wisdom discovery, desktop studying, clever info research, conception of studying, instruments for assisting the human strategy of discovery in technological know-how, in addition to their program to wisdom discovery.
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This booklet constitutes the refereed lawsuits of the fifteenth overseas convention on Discovery technological know-how, DS 2012, held in Lyon, France, in October 2012. The 22 papers awarded during this quantity have been rigorously reviewed and chosen from forty six submissions. the sphere of discovery technological know-how goals at inducing and validating new clinical hypotheses from facts.
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L (π)≤K} Building a Space of Interpretable Policies We now introduce index-based policies and deﬁne the subset of low Kolmogorov complexity index-based policies that we focus on in this paper. 1 Index-Based Policies Index-based policies are policies that are implicitly deﬁned by maximizing a state-action index function. Formally, we call any mapping I : X × U → R a state-action index function. Given a state-action index function I and a state x ∈ X , a decision πI (x) can be taken by drawing an action in the set of actions that lead to the maximization of the value I(x, u): ∀x ∈ X , πI (x) ∈ arg max I(x, u) .
We arbitrarily chose k = 50 as the number of clusters for all the datasets. The results using RESC are shown in Table 6. Table 6. The clustering time (second) for some network graphs. 3 million nodes. 15 In case of graph data, the running time of k-means was dominant the whole method. 3 million nodes. DBLP Case Study Since all the above graphs are too big to do a qualitative analysis, a subset of main data mining conferences in the DBLP graph was analyzed. We selected only authors and publications appearing in KDD, PKDD, PAKDD, ICDM, and SDM.
We put θ = (θ0 , θ1 , . . , θk ) ∈ Θ = Rk+1 and define the linear autoregressive predictors k fθ (Xt−1 , . . , Xt−k ) = θ0 + θj Xt−j . j=1 24 P. Alquier and X. Li Example 2. We may generalize the previous example to non-parametric autoregression, for example using a dictionary of functions (Rp )k → Rp , say (ϕi )∞ i=0 . Then we can fix m = n, and take θ = (θ1 , . . , θ ) ∈ Θj = Rj and j fθ (Xt−1 , . . , Xt−k ) = θi ϕi (Xt−1 , . . , Xt−k ). i=1 We now deﬁne a quantitative criterion to evaluate the quality of the predictions.