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• checking Rd files ... [0s/1s] NOTE checkRd: (-1) simule-package.Rd:18: Lost braces; missing escapes or markup?     18 | Identifying context-specific entity networks from aggregated data is an important task, often arising in bioinformatics and neuroimaging. Computationally, this task can be formulated as jointly estimating multiple different, but related, sparse Undirected Graphical Models (UGM) from aggregated samples across several contexts. Previous joint-UGM studies have mostly focused on sparse Gaussian Graphical Models (sGGMs) and can't identify context-specific edge patterns directly. We, therefore, propose a novel approach, SIMULE (detecting Shared and Individual parts of MULtiple graphs Explicitly) to learn multi-UGM via a constrained L1 minimization. SIMULE automatically infers both specific edge patterns that are unique to each context and shared interactions preserved among all the contexts. Through the L1 constrained formulation, this problem is cast as multiple independent subtasks of linear programming that can be solved efficiently in parallel. In addition to Gaussian data, SIMULE can also handle multivariate nonparanormal data that greatly relaxes the normality assumption that many real-world applications do not follow. We provide a novel theoretical proof showing that SIMULE achieves a consistent result at the rate O(log(Kp)/n_{tot}). On multiple synthetic datasets and two biomedical datasets, SIMULE shows significant improvement over state-of-the-art multi-sGGM and single-UGM baselines.        | ^ checkRd: (-1) simule.Rd:18: Lost braces     18 | level of the matrices. The \\eqn{\\lambda_n} in the following section:        | ^ checkRd: (-1) simule.Rd:23: Lost braces     23 | of each graph. The \\eqn{\\epsilon} in the following section: Details. If        | ^ checkRd: (-1) simule.Rd:62-65: Lost braces     62 | following equation: \\deqn{ \\hat{\\Omega}^{(1)}_I, \\hat{\\Omega}^{(2)}_I,        | ^ checkRd: (-1) simule.Rd:62: Lost braces     62 | following equation: \\deqn{ \\hat{\\Omega}^{(1)}_I, \\hat{\\Omega}^{(2)}_I,        | ^ checkRd: (-1) simule.Rd:62: Lost braces; missing escapes or markup?     62 | following equation: \\deqn{ \\hat{\\Omega}^{(1)}_I, \\hat{\\Omega}^{(2)}_I,        | ^ checkRd: (-1) simule.Rd:62: Lost braces     62 | following equation: \\deqn{ \\hat{\\Omega}^{(1)}_I, \\hat{\\Omega}^{(2)}_I,        | ^ checkRd: (-1) simule.Rd:62: Lost braces; missing escapes or markup?     62 | following equation: \\deqn{ \\hat{\\Omega}^{(1)}_I, \\hat{\\Omega}^{(2)}_I,        | ^ checkRd: (-1) simule.Rd:63: Lost braces     63 | \\dots, \\hat{\\Omega}^{(K)}_I, \\hat{\\Omega}_S =        | ^ checkRd: (-1) simule.Rd:63: Lost braces; missing escapes or markup?     63 | \\dots, \\hat{\\Omega}^{(K)}_I, \\hat{\\Omega}_S =        | ^ checkRd: (-1) simule.Rd:63: Lost braces     63 | \\dots, \\hat{\\Omega}^{(K)}_I, \\hat{\\Omega}_S =        | ^ checkRd: (-1) simule.Rd:64: Lost braces     64 | \\min\\limits_{\\Omega^{(i)}_I,\\Omega_S}\\sum\\limits_i ||\\Omega^{(i)}_I||_1+        | ^ checkRd: (-1) simule.Rd:64: Lost braces; missing escapes or markup?     64 | \\min\\limits_{\\Omega^{(i)}_I,\\Omega_S}\\sum\\limits_i ||\\Omega^{(i)}_I||_1+        | ^ checkRd: (-1) simule.Rd:64: Lost braces; missing escapes or markup?     64 | \\min\\limits_{\\Omega^{(i)}_I,\\Omega_S}\\sum\\limits_i ||\\Omega^{(i)}_I||_1+        | ^ checkRd: (-1) simule.Rd:65-67: Lost braces     65 | \\epsilon K||\\Omega_S||_1 } Subject to : \\deqn{        | ^ checkRd: (-1) simule.Rd:66: Lost braces; missing escapes or markup?     66 | ||\\Sigma^{(i)}(\\Omega^{(i)}_I + \\Omega_S) - I||_{\\infty} \\le \\lambda_{n}, i        | ^ checkRd: (-1) simule.Rd:66: Lost braces; missing escapes or markup?     66 | ||\\Sigma^{(i)}(\\Omega^{(i)}_I + \\Omega_S) - I||_{\\infty} \\le \\lambda_{n}, i        | ^ checkRd: (-1) simule.Rd:66: Lost braces; missing escapes or markup?     66 | ||\\Sigma^{(i)}(\\Omega^{(i)}_I + \\Omega_S) - I||_{\\infty} \\le \\lambda_{n}, i        | ^ checkRd: (-1) simule.Rd:66: Lost braces; missing escapes or markup?     66 | ||\\Sigma^{(i)}(\\Omega^{(i)}_I + \\Omega_S) - I||_{\\infty} \\le \\lambda_{n}, i        | ^ checkRd: (-1) simule.Rd:68: Lost braces     68 | \\eqn{\\lambda_n} is the hyperparameter controlling the sparsity level of the        | ^ checkRd: (-1) simule.Rd:69: Lost braces     69 | matrices and it is the \\code{lambda} in our function. The \\eqn{\\epsilon} is        | ^ checkRd: (-1) simule.Rd:69: Lost braces     69 | matrices and it is the \\code{lambda} in our function. The \\eqn{\\epsilon} is        | ^ checkRd: (-1) simule.Rd:72: Lost braces     72 | \\code{epsilon} parameter in our function and the default value is 1. For        | ^ checkRd: (-1) simule.Rd:47: Lost braces     47 | \\item{Graphs}{A list of the estimated inverse        | ^ checkRd: (-1) simule.Rd:47-48: Lost braces     47 | \\item{Graphs}{A list of the estimated inverse        | ^ checkRd: (-1) simule.Rd:48: Lost braces     48 | covariance/correlation matrices.} \\item{share}{The share graph among        | ^ checkRd: (-1) simule.Rd:48-49: Lost braces     48 | covariance/correlation matrices.} \\item{share}{The share graph among        | ^
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• DONE

Status: 1 NOTE