The main novelty of the proposed method is a similarity measure between SM components based on their normalized cross-correlation, which is related to the Bhattacharyya coefficient. We derive a greedy GP compression algorithm and perform a comparative evaluation over various learning tasks in terms of...
The integral of the true PSD, P(f), over one period, 1/Δt for cyclical frequency and 2π for normalized frequency, is equal to the variance of the wide-sense stationary random process: σ2=∫1/2Δt−1/2ΔtP(f) df. For normalized frequencies, replace the limits of integration ...
for all ρ≥ 1 will have lower generalization error normalized by total target power, Eg(P)/Eg(0), for all P (Methods). Therefore, C(ρ) provides a measure of the compatibility between the kernel and the target, which we name task-model alignment. ...
Generate 2048 samples of a two-channel signal embedded in additive N(0,1) white Gaussian noise. The first channel consists of two sinusoids with normalized frequencies of π/3 and π/5 rad/sample. The first sinusoid has twice the amplitude of the second. The second channel has a normalized...
For a brain’s white matter diffusion-derived structural network, its normalized graph Laplacian matrix characterizes the most probable paths a signal may take in a network. Here, we define the brain’s structural connectivity matrix asC = cj,k, consisting of connection strengths between any...
(2019) used LIDAR data to assist the band selection process, which can increase the ability to overcome intra-class spectral variation and increase the accuracy of spectral unmixing. Yang et al. (2010) proposed a pre-screened and normalized multiple endmember spectral mixture analysis method, ...
we propose a powered Gaussian kernel function for spectral clustering. We first consider a Gaussian kernel similarity function with a power parameter, and then use a modified correlation comparison algorithm to estimate the power parameter. This parameter can be used for separating points that actually...
Based on the observed ‘tuning’ effects (see “Tuning of neural rhythms to the entrained frequency”), we here used t-PSD at the entrained frequency (10 Hz), normalized by neighboring frequencies (5–6 Hz and 14–15 Hz; [55]). Statistical assessment followed the same cluster-based ...
For spectral library search, we compute the normalized dot product using either regular peak intensities or the square root of peak intensities (‘Spectral library search sqrt’)46. Spectral library search candidates were restricted to those with the correct molecular formula for each query. Query ...
frequency as a function of signal power. Full size image Next, depending on the nature of the underlying dynamics, neuronal oscillations exhibit a wide range of amplitude distributions36ranging from Gaussian, to non-normal, to bistable37, which is evidenced by their heavy-tailed (gamma-like) ...