In statistics and statistical and machine learning, lasso (least absolute shrinkage and selection operator) (also Lasso or LASSO) is a regression analysis method that performs both variable selection and regularization in order to enhance the prediction accuracy and interpretability of the statistical model it produces. It was introduced by Robert Tibshirani in 1996 based on Leo Breiman’s Nonnegative Garrote. lasso was originally formulated for least squares models and this simple case reveals a substantial amount about the behavior of the estimator, including its relationship to ridge regression and best subset selection and the connections between lasso coefficient estimates and so-called soft thresholding. It also reveals that (like standard linear regression) the coefficient estimates need not be unique if covariates are collinear.
Though originally defined for least squares, lasso regularization is easily extended to a wide variety of statistical models including generalized linear models, generalized estimating equations, proportional hazards models, and M-estimators, in a straightforward fashion. lasso’s ability to perform subset selection relies on the form of the constraint and has a variety of interpretations including in terms of geometry, Bayesian statistics, and convex analysis.
Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. In applying statistics to, e.g., a scientific, industrial, or societal problem, it is conventional to begin with a statistical population or a statistical model process to be studied. Populations can be diverse topics such as "all persons living in a country" or "every atom composing a crystal". Statistics deals with all aspects of data including the planning of data collection in terms of the design of surveys and experiments.
When census data cannot be collected, statisticians collect data by developing specific experiment designs and survey samples. Representative sampling assures that inferences and conclusions can safely extend from the sample to the population as a whole. An experimental study involves taking measurements of the system under study, manipulating the system, and then taking additional measurements using the same procedure to determine if the manipulation has modified the values of the measurements. In contrast, an observational study does not involve experimental manipulation.
Denver Collin Dalley is an American singer-songwriter based in Omaha, Nebraska. He is best known for his collaboration with Bright Eyes frontman Conor Oberst in Desaparecidos, and has been involved in various other musical projects, including Statistics, Intramural, and Two of Cups.
Dalley collaborated with childhood friend Conor Oberst as main songwriter of the politically charged indie rock band Desaparecidos. The band released Read Music/Speak Spanish on Omaha-based Saddle Creek Records before going on hiatus in 2003. They reunited in 2010, performing at the Concert for Equality in Omaha on July 31, and again on July 31, 2012 at Omaha's Maha Music Festival.
In 2003, following the temporary caesura of Desaparecidos, Dalley formed Statistics, an electronic-tinged solo project, and signed onto the Jade Tree Records label. After releasing a self-titled extended play in 2003 and two studio albums titled Leave Your Name and Often Lie in 2004 and 2005, respectively, Dalley chose to focus on other projects, effectively putting Statistics on hiatus. However, in 2013, eight years after Often Lie, Dalley released a new studio album titled Peninsula on Afternoon Records, featuring a collaboration with Minnesota-based singer-songwriter Sean Tillman (a.k.a. Har Mar Superstar). Dalley hopes to create visuals in the form of music videos for songs in Peninsula, something that he has never done in his prior musical ventures.
Statistics is a mathematical science pertaining to the collection, analysis, interpretation, and presentation of data.
Statistic may also refer to: