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Tight Optimistic Estimates for Fast Subgroup Discovery - von Henrik Grosskreutz, Stefan Rüping und S

ist: • p0 = (0.1, 0.45, 0.45) bzw. p0 = (0.1, 0.3 c−3 , ..., 0.3 c−3 , 0.3) für c > 3 • Subgruppe s habe m = (10, 10, 0, ..., 0, 10) • Untermenge m′ mit höchster Qualität ist bei m′ = (10, 0, 0, ..., [...] er als oe2 wenn ∀N, p0, n, p : oe1(p, n, p0,N) ≤ oe2(p, n, p0,N) Enge (tight) Optimistische Abschätzung ∀DB, sd : ∃n′, p′ : (n′ ≤ n ∧ n′p′ np ∧ oe ∗ (p, n, p0,N) = q(p′, n′, p0,N)) • oe′ < oe∗ ⇒ oe′ [...] pc , n, p0,N) := maxm′1,...,m ′ c |m′i∈{0,npi} { q((m′1, ...,m ′ c)T , p0,N) } • Enge OA für beliebige Qualitätsfunktion q: maxm′1,...,m ′ c |∀i :m′i∈N+∧0≤m′i≤npi { q((m′1, ...,m ′ c)T , p0,N) } • m …

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Free-Sets: A Condensed Representation of Boolean Data for the Approximation of Frequency Queries

Confidence 0.05 0.1 0.2 0.3 0.4 0.5 0.6 0.99 0.0308 0.0116 0.0047 0.0033 0.0012 0.0010 0.0010 0.95 0.0295 0.0111 0.0045 0.0031 0.0011 0.0010 0.0010 0.9 0.0280 0.0105 0.0042 0.0030 0.0011 0.0009 0.0009 0.85 0 [...] relational table over four binary attributes. A B C D 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 but eventually [...] size 1 0 0 0 0 2 0.36 0.002 18 0.11 3 1.17 0.007 20 0.13 4 2.14 0.012 37 0.18 5 3.24 0.019 37 0.22 6 4.33 0.026 39 0.24 7 5.31 0.032 39 0.24 8 6.12 0.038 45 0.29 9 6.80 0.042 45 0.29 10 7.40 0.046 45 0.29 …

class C2+α for some 0 < α < 1, i.e. u0, v0 ∈ C2+α(Γ), V0 ∈ C2+α(Ω) and u0, v0, V0 ≥ 0. Moreover, let the compatibility condition −D∇V0(x) · ν(x) = q1(u0(x), v0(x))V0(x) − q2(u0(x), v0(x))v0(x), x ∈ Γ (1.3) [...] ϑ̃1(x0, t0) and find that M ≤ 0 holds for t0 = 0 and for all x0 ∈ Ω according to the given initial condition. If x0 ∈ Ω and t0 > 0, then 0 ≤ ( ∂tϑ̃1 −D∆ϑ̃1 + 2D∇ϑ̃1 · ∇φ φ ) (x0, t0) < 0 if M > 0, which [...] ‖V (1) 0 − V (2) 0 ‖L2(Ω) + ‖u(1) 0 − u (2) 0 ‖L2(Γ) + ‖v(1) 0 − v (2) 0 ‖L2(Γ) + ‖V (1) 0 − V (2) 0 ‖C2+α(Ω) + ‖u(1) 0 − u (2) 0 ‖C2+α(Γ) + ‖v(1) 0 − v (2) 0 ‖C2+α(Γ) ) ≤ Ĉ(T,D,Ω, α) ( ‖V (1) 0 − V (2) …

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Evaluation-Winter2010-anonym

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