The Annals of Probability, Vol. 1, No. 6 (Dec., 1973), pp. 968-981 (14 pages) This paper is mainly a survey of results on the problem of finding necessary and sufficient conditions for a Gaussian ...

Abstract: Probabilistic machine learning models are distinguished by their ability to integrate prior knowledge of noise statistics, smoothness parameters, and training data uncertainty. A common ...

Abstract: The definition of the higher-order statistics associated with the fractional Fourier transform is presented in this paper. The proposed fractional higher-order statistics for order greater ...

すでに行った，離散フーリエ級数，DFSとほぼ同じです． 信号の周期性の仮定をしていましたが，サンプリングされた信号では， 1周期分のサンプリングとみなせば，有限長データも同じです． 復習：フーリエ変換対 信号 $${x(t)}$$ の周期性に関して，無限長 ...

音声データの中に「どんな音（周波数）」が含まれているかを調べるためには、フーリエ変換（Fourier Transform）が欠かせません。 特にデータサイエンスや機械学習の分野では、音声特徴量抽出の第一歩として高速フーリエ変換（FFT: Fast Fourier Transform）が頻繁 ...

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...

We provide the reticular data displayed in our main text (Fig. 2d) and supplementary material (Fig. S5) as examples. They are located in data/flfm/reticular1 (Fig. 2d) and data/flfm/reticular2 (Fig.