real-valued function
High-Precision Privacy-Preserving Real-Valued Function Evaluation
... a cost function which is expressed in terms of logarithms of the continuous sig- moid function. This minimum is typically computed via iterative methods such as the gradient descent. For datasets with low ...
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Theorem 1. A real valued function on a convex set Kin RRRR is a convex function if
... linear function defined in Lemma 3, let t ∈ (0, 1) and set x equal to (1 − t) a + t b; since x ∈ (a, b) there is a unique solution t to this equation given ...
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Insertion of A Baire one Function
... a real- valued function, which is due to Brooks [1], are used in order to give a necessary and sufficient condition for the insertion of a Baire-one function between two compara- ble ...
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Convex and Concave Functions
... A real valued function f(x) defined on an interval is called convex (or convex downward or concave upward), if the line segment between any two points on the graph of the function lies above ...
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Topologies between compact and uniform convergence on function spaces
... > 1>, so that Tn,l=I qtVa, As a consequence of Theorem 1.1, if every element of a is pseudocompact a space is pseudocompact if every continuous real-valued function on the space is bound[r] ...
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Quasi-valuation maps based on positive implicative ideals in BCK-algebras
... A b s t r ac t . The notion of PI-quasi-valuation maps of a BCK-algebra is introduced, and related properties are investigated. The relationship between an I-quasi-valuation map and a PI-quasi- valuation map is examined. ...
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Generalizations of the Lax-Milgram Theorem
... a real-valued function defined on the product of a reflexive Banach space and a normed space to represent all bounded linear functionals of the ...
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Strong Insertion of A Baire one Function
... a real-valued function, which is due to Brooks [2], are used in order to give necessary and sufficient conditions for the strong insertion of a Baire-one function between two comparable ...
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A note on statistical convergence on time scale
... It is well known that the notions of statistical convergence and statistical Cauchy are closely related to the density of the subset of N. In the present section, first of all, we will define the density of the subset of ...
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Characterization of quadratic growth of extended real valued functions
... the real-valued function f (x) = |x|, we observe that ∂f is strongly metrically subregular at (, ) with any κ > and f is normal-contingent at x ¯ = for x ¯ ∗ = as well as gph ∂f is not ...
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Some Results on Real Valued Continuous Functions on an Interval
... A new approaches to differential calculus based on mathematical structures are always be- ing tried across the world in different directions and methods. This will lead to presenting continuous or differentiable ...
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Extremal problems related to convexity
... given real-valued function ψ on ...biconvex function ζ : B × B → R such that ζ (x, y) ≤ |x + y| p whenever |x| p = |y| p = , where B is the closed unit ball in R ...
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A STUDY ON SINGULAR POINT/SINGULARITY OF COMPLEX ANALYSIS
... analytic function along any closed curve, you also know its value at any point inside the area enclosed by the ...the real case, for example a real-valued function of two real ...
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Analysis of Lebesgue Integral Functions and Theorems
... Integrals and derivatives became the basic tools of calculus, with numerous applications in science and engineering. A rigorous mathematical definition of the integral was given by Bernhard Riemann. It is based on a ...
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Multiple Instance Learning of Real Valued Data
... in real drug-discovery work, most data is labeled with real-valued affinity measurements obtained via laboratory ...only real data sets available as benchmarks are the Musk1 and Musk2 data ...
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Complex Valued Recurrent Neural Network: From Architecture to Training
... complex valued recurrent neural network of a special ...error function which gives the unique advantages for the com- plex-valued neural ...complex valued recurrent neural networks is ...
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Practical considerations on optimising multistage decimation and interpolation processes
... formed from three independent disjoint surfaces with different 𝐷<5000 and 0<Δ𝑓<0.5. The values of lowest surface is close to the minimum value of interpolation and decimation factor 2. The optimal integer ...
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Domain Agnostic Real-Valued Specificity Prediction
... We present a new model for predicting sentence specificity. We augment the Self-Ensembling method (French, Mack- iewicz, and Fisher 2018) for unsupervised domain adapta- tion on text data. We also regularize the ...
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On Real-valued Visual Cryptographic Basis Matrices
... In each case, similarity of the decrypted image to the secret image was calculated in terms of PSNR and SSIM, the results of which follow in Table 6, and in Table 7 are the percentage increases in reconstructed image ...
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Real-valued conditional convex risk measures in Lp(ℱ, R)
... of conditional convex risk measures which are real-valued in the sense of the Definition 2.2. A crucial concept in the paper is the property of coerciveness of Definition 2.8, a concept introduced in the ...
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