Results 41 to 50 of about 61,133 (171)
Journal of Fourier Analysis and Applications9 pages, 1 ...
Shilin Dou +4 more
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Degenerate $C$-distribution cosine functions and degenerate $C$-ultradistribution cosine functions in locally convex spaces [PDF]
Filomat, Vol.31, (11), 3075-3089, 2017, 2018 The main purpose of this paper is to investigate degenerate $C$-(ultra)distribution cosine functions in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate $C$-(ultra)distribution cosine function is a multivalued linear operator and the regularizing operator $C$ is not ...
arxiv
Variance-Adjusted Cosine Distance as Similarity Metric [PDF]
arXivCosine similarity is a popular distance measure that measures the similarity between two vectors in the inner product space. It is widely used in many data classification algorithms like K-Nearest Neighbors, Clustering etc. This study demonstrates limitations of application of cosine similarity.
arxiv
Cosine Normalization: Using Cosine Similarity Instead of Dot Product in Neural Networks [PDF]
arXiv, 2017 Traditionally, multi-layer neural networks use dot product between the output vector of previous layer and the incoming weight vector as the input to activation function. The result of dot product is unbounded, thus increases the risk of large variance. Large variance of neuron makes the model sensitive to the change of input distribution, thus results
arxiv
Banach Journal of Mathematical Analysis, 2011 In this short note, a new approach is provided to prove that every nonzero continuous cosine function on a compact group $G$ is the normalized character of a representation of $G$ into the special unitary group $SU(2)$.
openaire +3 more sources
The use of fractional integration and differentiation for obtaining certain expansions in terms of Bessel functions or of sines and cosines [PDF]
, 1932 W. O. Pennell
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The group reduction for bounded cosine functions on UMD spaces [PDF]
arXiv, 2007 It is shown that if A generates a bounded cosine operator function on a UMD space X, then i(-A)^{1/2} generates a bounded C_0-group. The proof uses a transference principle for cosine functions.
arxiv