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docs: some updates to comply with CRAN standards
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DESCRIPTION

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Package: spectralGraphTopology
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Title: Learning Graphs from Data via Spectral Constraints
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Version: 0.1.4
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Date: 2019-10-07
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Description: Block coordinate descent estimators to learn k-component, bipartite,
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and k-component bipartite graphs from data by imposing spectral constraints
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on the eigenvalues and eigenvectors of the Laplacian and adjacency matrices.
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Those estimators leverages spectral properties of the graphical models as a
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prior information, which turn out to play key roles in unsupervised machine
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learning tasks such as clustering and community detection. This package is
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based on the paper "A Unified Framework for Structured Graph Learning via
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Spectral Constraints" by S. Kumar et al (2019) <arXiv:1904.09792>.
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Version: 0.2.0
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Date: 2019-10-08
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Description: In the era of big data and hyperconnectivity, learning
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high-dimensional structures such as graphs from data has become a prominent
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task in machine learning and has found applications in many fields such as
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finance, health care, and networks. 'spectralGraphTopology' is an open source,
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documented, and well-tested R package for learning graphs from data. It
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provides implementations of state of the art algorithms such as Combinatorial
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Graph Laplacian Learning (CGL), Spectral Graph Learning (SGL), Graph Estimation
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based on Majorization-Minimization (GLE-MM), and Graph Estimation based on
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Alternating Direction Method of Multipliers (GLE-ADMM). In addition, graph
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learning has been widely employed for clustering, where specific algorithms
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are available in the literature. To this end, we provide an implementation of
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the Constrained Laplacian Rank (CLR) algorithm.
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Authors@R: c(
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person("Ze", "Vinicius", role = c("cre", "aut"), email = "[email protected]"),
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person(c("Daniel", "P."), "Palomar", role = "aut", email = "[email protected]")

NEWS.md

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## Changes in spectralGraphTopology version 0.1.4 (2019-10-07)
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## Changes in spectralGraphTopology version 0.2.0 (2019-10-07)
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* Added state of the art algorithms (CGL, GLE-MM, and GLE-ADMM) for learning connected graphs.
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tests/testthat/test-blockCoordinateDescent.R

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@@ -3,38 +3,6 @@ library(testthat)
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library(patrick)
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library(spectralGraphTopology)
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# lambda update step using CVX for the sake of unit testing
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lambda_update_cvx <- function(lb, ub, beta, U, Lw, k) {
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n <- ncol(Lw)
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d <- diag(t(U) %*% Lw %*% U)
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q <- n - k
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lambda <- CVXR::Variable(q)
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objective <- CVXR::Minimize(sum(.5 * beta * (lambda - d)^2 - log(lambda)))
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constraints <- list(lambda[q] <= ub, lambda[1] >= lb, lambda[2:q] >= lambda[1:(q-1)])
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prob <- CVXR::Problem(objective, constraints)
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result <- solve(prob)
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return(as.vector(result$getValue(lambda)))
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}
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psi_update_cvx <- function(V, Aw) {
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c <- diag(t(V) %*% Aw %*% V)
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q <- length(c)
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psi <- CVXR::Variable(q)
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objective <- CVXR::Minimize(sum((psi - c) ^ 2))
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constraints <- list(psi[1:(q - 1)] < psi[2:q])
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j <- length(constraints) + 1
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i <- 1
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while (i < q + 1 - i) {
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constraints[[j]] <- psi[i] == -psi[q + 1 - i]
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j <- j + 1
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i <- i + 1
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}
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prob <- CVXR::Problem(objective, constraints)
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result <- solve(prob)
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return(as.vector(result$getValue(psi)))
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}
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test_that("test that U remains orthonormal after being updated", {
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w <- runif(1000)
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})
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test_that("test that the eigenvalues of the adjacency matrix meet the criterion", {
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skip_if_not_installed("CVXR")
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w <- runif(4*9)
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n <- as.integer(.5 * (1 + sqrt(1 + 8 * length(w))))
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z <- 3
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Aw <- A(w)
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V <- bipartite.V_update(Aw, z)
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psi <- bipartite.psi_update(V, Aw)
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psi_cvx <- psi_update_cvx(V, Aw)
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expect_equal(psi, psi_cvx, tolerance = 1e-4)
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})
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with_parameters_test_that("test that the eigenvalues of the Laplacian matrix
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meet the criterion after being updated", {
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skip_if_not_installed("CVXR")
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n <- as.integer(.5 * (1 + sqrt(1 + 8 * length(w))))
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k <- 1
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Lw <- L(w)
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U <- laplacian.U_update(Lw, k)
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beta <- .5
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q <- n - k
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#test_that("test that the eigenvalues of the adjacency matrix meet the criterion", {
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# skip_if_not_installed("CVXR")
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# psi_update_cvx <- function(V, Aw) {
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# c <- diag(t(V) %*% Aw %*% V)
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# q <- length(c)
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# psi <- CVXR::Variable(q)
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# objective <- CVXR::Minimize(sum((psi - c) ^ 2))
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# constraints <- list(psi[1:(q - 1)] < psi[2:q])
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# j <- length(constraints) + 1
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# i <- 1
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# while (i < q + 1 - i) {
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# constraints[[j]] <- psi[i] == -psi[q + 1 - i]
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# j <- j + 1
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# i <- i + 1
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# }
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# prob <- CVXR::Problem(objective, constraints)
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# result <- solve(prob)
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# return(as.vector(result$getValue(psi)))
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# }
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# w <- runif(4*9)
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# n <- as.integer(.5 * (1 + sqrt(1 + 8 * length(w))))
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# z <- 3
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# Aw <- A(w)
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# V <- bipartite.V_update(Aw, z)
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# psi <- bipartite.psi_update(V, Aw)
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# psi_cvx <- psi_update_cvx(V, Aw)
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# expect_equal(psi, psi_cvx, tolerance = 1e-4)
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#})
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lambda <- laplacian.lambda_update(lb, ub, beta, U, Lw, k)
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expect_true(length(lambda) == q)
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expect_true(all(lambda[1] >= lb, lambda[q] <= ub,
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lambda[2:q] >= lambda[1:(q-1)]))
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# compare against results from CVXR
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lambda_cvx <- lambda_update_cvx(lb, ub, beta, U, Lw, k)
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expect_true(length(lambda_cvx) == q)
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expect_true(all(abs(lambda_cvx - lambda) < 1e-3))
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},
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cases(
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list(lb = 1e-2, ub = 10, w = runif(1000)),
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list(lb = 1e-2, ub = 1.5, w = runif(6)),
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list(lb = 3, ub = 100, w = runif(20)),
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list(lb = 3.3, ub = 4, w = runif(20))
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)
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)
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#with_parameters_test_that("test that the eigenvalues of the Laplacian matrix
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# meet the criterion after being updated", {
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# skip_if_not_installed("CVXR")
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#
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# lambda_update_cvx <- function(lb, ub, beta, U, Lw, k) {
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# n <- ncol(Lw)
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# d <- diag(t(U) %*% Lw %*% U)
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# q <- n - k
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# lambda <- CVXR::Variable(q)
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# objective <- CVXR::Minimize(sum(.5 * beta * (lambda - d)^2 - log(lambda)))
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# constraints <- list(lambda[q] <= ub, lambda[1] >= lb, lambda[2:q] >= lambda[1:(q-1)])
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# prob <- CVXR::Problem(objective, constraints)
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# result <- solve(prob)
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# return(as.vector(result$getValue(lambda)))
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# }
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#
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# n <- as.integer(.5 * (1 + sqrt(1 + 8 * length(w))))
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# k <- 1
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# Lw <- L(w)
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# U <- laplacian.U_update(Lw, k)
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# beta <- .5
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# q <- n - k
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#
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# lambda <- laplacian.lambda_update(lb, ub, beta, U, Lw, k)
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# expect_true(length(lambda) == q)
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# expect_true(all(lambda[1] >= lb, lambda[q] <= ub,
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# lambda[2:q] >= lambda[1:(q-1)]))
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#
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# # compare against results from CVXR
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# lambda_cvx <- lambda_update_cvx(lb, ub, beta, U, Lw, k)
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# expect_true(length(lambda_cvx) == q)
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# expect_true(all(abs(lambda_cvx - lambda) < 1e-3))
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# },
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# cases(
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# list(lb = 1e-2, ub = 10, w = runif(1000)),
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# list(lb = 1e-2, ub = 1.5, w = runif(6)),
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# list(lb = 3, ub = 100, w = runif(20)),
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# list(lb = 3.3, ub = 4, w = runif(20))
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# )
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#)

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