Live-R: Academia & Research

Live-R delivers a wide variety of functions that support ordinary, partial, and directional derivatives, solving problems related to difference & differential equations & the phase plane, curve fitting, linear, polynomial modelling, solving functions of multiple variable. Live-R can be used extensively for linear algebraic calculations, and is supported by functions to carry out a wide range of matrix calculations. Read More

Linear algebra is at the core of many areas of statistical computing and its supported via a matrix data type and several functions and operators, such as %*%,   qr, chol, and solve. Live-R provides  a variety of functions and operators applied to objects to realize linear algebra subroutines, dense matrix, and sparse matrix; thus providing greater improvement in memory utilization and computational speed. Several packages provides functions that solve general linear/integer problems, provide general solvers for initial value problems of ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations (DAE), and delay differential equations (DDE).Read More

Data mining is a process of extracting information from data. It involves structuring the data for a given linguistic pattern, “divining” it for statistical pattern learning, and applying machine learning techniques to extract the information content from the given data. Live-R, supported by rich set of algorithms such as “Decision Tree”, Correspondace Analysis, Item Response Theory are used in data extraction. Live-R also supports functions to carry out text clustering, concept/entity extraction, production of granular taxonomies, sentiment analysis, document summarization, and entity relation modeling for text mining.Read More

Probability distribution forms a fundamental theory in statistics, which gives the relation to link the outcome of statistical experiments with its probability of occurrence. The probability distribution describes the range of possible values that a random variable can attain and the probability that the value of the random variable is within any subset of that range. The practical uses of probability distributions include calculation of confidence interval for parameters, calculation of critical region in hypothesis test, curve fitting, and simulation studies using random generators. Depending upon nature of random variable different types of distributions are categorized and a few of them are discussed here, those are Continuous Distribution, Discrete Distribution, and Copula (multivariate distribution).Read More

Optimization refers to selection of best elements from the group of available alternatives. More generally, it means finding “best available” values of some objective function in a defined domain, including a variety of different types of objective functions and different types of domains. It forms the fundamental step in problem solving be it nonlinear variables calculating the flow of gas in a turbine, or variables associated to share values of different sectors for a given day’s stock trades. Thus, its a universal phenomenon and a basic step for computation of large data. Live-analytics supports several functions for solving large-scale linear programming (LP), mixed integer linear programming (MILP), quadratic funtions, and alsp provides basic infrastructure for handling and solving the traveling salesperson problem.Read More

Regression analysis is a technique of modelling several variables for analysis by establishing a meaningful relationshipe among them. Live-R supports several regression models used in analysis in different streams of applications, models include linear regression models, multinomial logit, multinomial probit, multivariate probit, multivariate mixture of normals (including clustering), density estimation using finite mixtures of normals as well as Dirichlet Process priors, hierarchical linear models, hierarchical multinomial logit, hierarchical negative binomial regression models, and linear instrumental variable models. Read More

Statistical analysis constitutes an integral part of any experiment, it gives the model departure of the actual result from the estimated. Live-R delivers several functions for single and multiple correspondence analysis, homogeneous table analysis, Principal Cordinate Analysis(PCO), linear discriminant analysis etc.Read More