157,919 research outputs found

    Aberrant posterior cingulate connectivity classify first-episode schizophrenia from controls: A machine learning study

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    Background Posterior cingulate cortex (PCC) is a key aspect of the default mode network (DMN). Aberrant PCC functional connectivity (FC) is implicated in schizophrenia, but the potential for PCC related changes as biological classifier of schizophrenia has not yet been evaluated. Methods We conducted a data-driven approach using resting-state functional MRI data to explore differences in PCC-based region- and voxel-wise FC patterns, to distinguish between patients with first-episode schizophrenia (FES) and demographically matched healthy controls (HC). Discriminative PCC FCs were selected via false discovery rate estimation. A gradient boosting classifier was trained and validated based on 100 FES vs. 93 HC. Subsequently, classification models were tested in an independent dataset of 87 FES patients and 80 HC using resting-state data acquired on a different MRI scanner. Results Patients with FES had reduced connectivity between PCC and frontal areas, left parahippocampal regions, left anterior cingulate cortex, and right inferior parietal lobule, but hyperconnectivity with left lateral temporal regions. Predictive voxel-wise clusters were similar to region-wise selected brain areas functionally connected with PCC in relation to discriminating FES from HC subject categories. Region-wise analysis of FCs yielded a relatively high predictive level for schizophrenia, with an average accuracy of 72.28% in the independent samples, while selected voxel-wise connectivity yielded an accuracy of 68.72%. Conclusion FES exhibited a pattern of both increased and decreased PCC-based connectivity, but was related to predominant hypoconnectivity between PCC and brain areas associated with DMN, that may be a useful differential feature revealing underpinnings of neuropathophysiology for schizophrenia

    Data Unfolding with Wiener-SVD Method

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    Data unfolding is a common analysis technique used in HEP data analysis. Inspired by the deconvolution technique in the digital signal processing, a new unfolding technique based on the SVD technique and the well-known Wiener filter is introduced. The Wiener-SVD unfolding approach achieves the unfolding by maximizing the signal to noise ratios in the effective frequency domain given expectations of signal and noise and is free from regularization parameter. Through a couple examples, the pros and cons of the Wiener-SVD approach as well as the nature of the unfolded results are discussed.Comment: 26 pages, 12 figures, match the accepted version by JINS

    Intersections of homogeneous Cantor sets and beta-expansions

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    Let Γβ,N\Gamma_{\beta,N} be the NN-part homogeneous Cantor set with β∈(1/(2N−1),1/N)\beta\in(1/(2N-1),1/N). Any string (jℓ)ℓ=1N(j_\ell)_{\ell=1}^\N with jℓ∈{0,±1,...,±(N−1)}j_\ell\in\{0,\pm 1,...,\pm(N-1)\} such that t=∑ℓ=1Njℓβℓ−1(1−β)/(N−1)t=\sum_{\ell=1}^\N j_\ell\beta^{\ell-1}(1-\beta)/(N-1) is called a code of tt. Let Uβ,±N\mathcal{U}_{\beta,\pm N} be the set of t∈[−1,1]t\in[-1,1] having a unique code, and let Sβ,±N\mathcal{S}_{\beta,\pm N} be the set of t∈Uβ,±Nt\in\mathcal{U}_{\beta,\pm N} which make the intersection Γβ,N∩(Γβ,N+t)\Gamma_{\beta,N}\cap(\Gamma_{\beta,N}+t) a self-similar set. We characterize the set Uβ,±N\mathcal{U}_{\beta,\pm N} in a geometrical and algebraical way, and give a sufficient and necessary condition for t∈Sβ,±Nt\in\mathcal{S}_{\beta,\pm N}. Using techniques from beta-expansions, we show that there is a critical point βc∈(1/(2N−1),1/N)\beta_c\in(1/(2N-1),1/N), which is a transcendental number, such that Uβ,±N\mathcal{U}_{\beta,\pm N} has positive Hausdorff dimension if β∈(1/(2N−1),βc)\beta\in(1/(2N-1),\beta_c), and contains countably infinite many elements if β∈(βc,1/N)\beta\in(\beta_c,1/N). Moreover, there exists a second critical point αc=[N+1−(N−1)(N+3) ]/2∈(1/(2N−1),βc)\alpha_c=\big[N+1-\sqrt{(N-1)(N+3)}\,\big]/2\in(1/(2N-1),\beta_c) such that Sβ,±N\mathcal{S}_{\beta,\pm N} has positive Hausdorff dimension if β∈(1/(2N−1),αc)\beta\in(1/(2N-1),\alpha_c), and contains countably infinite many elements if β∈[αc,1/N)\beta\in[\alpha_c,1/N).Comment: 23 pages, 4 figure
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