Differentiable functionIn mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain. In other words, the graph of a differentiable function has a non-vertical tangent line at each interior point in its domain. A differentiable function is smooth (the function is locally well approximated as a linear function at each interior point) and does not contain any break, angle, or cusp. If x0 is an interior point in the domain of a function f, then f is said to be differentiable at x0 if the derivative exists.
Activation functionActivation function of a node in an artificial neural network is a function that calculates the output of the node (based on its inputs and the weights on individual inputs). Nontrivial problems can be solved only using a nonlinear activation function. Modern activation functions include the smooth version of the ReLU, the GELU, which was used in the 2018 BERT model, the logistic (sigmoid) function used in the 2012 speech recognition model developed by Hinton et al, the ReLU used in the 2012 AlexNet computer vision model and in the 2015 ResNet model.
DerivativeIn mathematics, the derivative shows the sensitivity of change of a function's output with respect to the input. Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.
Hôpital CochinThe Hôpital Cochin is a hospital of public assistance in the rue du Faubourg-Saint-Jacques Paris 14e. It houses the central burn treatment centre of the city. The Hôpital Cochin is a section of the Faculté de Médecine Paris-Cité. It commemorates Jean-Denis Cochin, curé of the parish of Saint-Jacques-du-Haut-Pas and founder of a hospital for the workers and poor of that quarter of Paris. Since 1990, a biomedical research centre, the Institut Cochin, has been associated with the hospital.
Hôpital Saint-LouisHôpital Saint-Louis is a hospital in Paris, France. It was built in 1611 by architect Claude Vellefaux at the request of Henry IV of France. It is part of the Assistance publique - Hôpitaux de Paris hospital system, and it is located at 1 avenue Claude-Vellefaux, in the 10th arrondissement near the metro station Goncourt. It was founded by King Henry IV (1553–1610) (King of France and Navarre) on May 17, 1607 to relieve the Hôtel-Dieu de Paris during the plague. It was named St.
