Berdasarkan penelitian yang dilakukan oleh Herman dkk., peneliti mencoba mengangkat kembali metode diterapkan dengan menggunakan dataset berbeda dan jumlah lebih banyak. Penelitian ini bertujuan untuk menghitung performa (akurasi, presisi, recall, f-measure) Gaussian Naïve Bayes. Dataset digunakan adalah citra tulisan tangan karakter arab. hasil perhitungan menunjukkan tingkat akurasi tertinggi...

4. Let (Ω,Σ, μ) be a measure space. If f : Ω → R, then we say that f is a measurable function if for every t ∈ R, the level set: Sf (t) = {x ∈ Ω|f(x) > t} is measurable. f : Ω→ C is measurable if and only if both Re(f) and Im(f) are measurable. 5. A real function f : Ω → R is lower semicontinuous on Ω if Sf (t) is open, and is upper semicontinuous if {x ∈ Ω|f(x) < t} is open. Equivalently, f is...

Revisiting the notion of μ-almost equicontinuous cellular automata introduced by R. Gilman, we show that the sequence of image measures of a shift ergodic measure μ by iterations of such automata converges in Cesaro mean to an invariant measure μc. If the initial measure μ is a Bernouilli measure, we prove that the Cesaro mean limit measure μc is shift mixing. Therefore we also show that for an...

We obtain an optimal deviation from the mean upper bound D(x) def = sup f∈F μ{f −Eμf ≥ x}, for x ∈ R (0.1) where F is the complete class of integrable, Lipschitz functions on probability metric (product) spaces. As corollaries we get exact solutions of (0.1) for Euclidean unit sphere Sn−1 with a geodesic distance function and a normalized Haar measure, for R equipped with a Gaussian measure and...

For X a compact abelian group and B an infinite subset of its dual X̂, let CB be the set of all x ∈ X such that 〈φ(x) : φ ∈ B〉 converges to 1. If F is a free filter on X̂, let DF = {CB : B ∈ F}. The sets CB and DF are subgroups of X. CB always has Haar measure 0, while the measure of DF depends on F . We show that there is a filter F such that DF has measure 0 but is not contained in any CB . Thi...

For X a compact abelian group and B an infinite subset of its dual X̂, let CB be the set of all x ∈ X such that 〈φ(x) : φ ∈ B〉 converges to 1. If F is a free filter on X̂, let DF = {CB : B ∈ F}. The sets CB and DF are subgroups of X. CB always has Haar measure 0, while the measure of DF depends on F . We show that there is a filter F such that DF has measure 0 but is not contained in any CB . Thi...

F-measure is an indicator used since 25 years to evaluate classification algorithms in textmining, from precision and recall. For classification and information retrieval, some ones prefer to use the break even point. Nevertheless, these measures have some inconvenient: they use a binary logic and don’t allow applying a user (judge) assessment. This paper proposes a new approach of evaluation. ...

This paper studies measure properties of graphs with infinitely many vertices. Let [0, 1] denote the real unit interval, and y be the collection of bijections taking [0, 1] onto itself. Given a graph G = ([0, \\,E) and / € & , define the f-representation of G to be the set Ef = {{f(x),f(y)):x,y e [0,1] and (x,y) e E} . Let p be 2-dimensional Lebesgue measure. Define the measure spectrum of G to...

Let J be the Julia set of a conformal dynamics f . Provided that f is polynomial-like we prove that the harmonic measure on J is mutually absolutely continuous with the measure of maximal entropy if and only if f is conformally equivalent to a polynomial. This is no longer true for generalized polynomial-like maps. But for such dynamics the coincidence of classes of these two measures turns out...

where F (x) = t(F (x), x1, . . . , xd−1) for x = (x1, x2, . . . , xd). Assuming Y t ∈ Ω for closed Ω ⊆ R and also assuming the ergodicity of {Y t}, we formulate the system as (Ω,F , μ,F ), where F is the completion of the Borel σ-field with respect to μ, and μ is an invariant measure, i.e. μ(F−1A) = μ(A) for A ∈ F . See Carlsson (2002) for a description of the sufficient conditions for the exis...