Gradient In vector calculus, the gradient of a scalar-valued differentiable function of several variables is the vector field (or vector-valued function) \nabla f whose value at a point p is the "direction and rate of fastest increase". If the gradi ...

in vector calculus is a vector field representing the maximum rate of increase of a scalar field or a multivariate function and the direction of this maximal rate. Gradient may also refer to: *

Gradient sro Gradient sro is a Czech aircraft manufacturer based in Prague and founded in 1997. The company specializes in the design and manufacture of paragliders in the form of ready-to-fly aircraft.Bertrand, Noel; Rene Coulon; et al: ''World Directory of L ...

, a Czech aircraft manufacturer * Image gradient, a gradual change or blending of color **

Color gradient In color science, a color gradient specifies a range of position-dependent colors, usually used to fill a region. Name A color gradient is also known as a color ramp or a color progression. In assigning colors to a set of values, a gradien ...

, a range of position-dependent colors, usually used to fill a region **

Texture gradient Texture gradient is the distortion in size which closer objects have compared to objects farther away. It also involves groups of objects appearing denser as they move farther away. Additionally, it could be explained by noticing a certain amount ...

, the distortion in size which closer objects have compared to objects farther away *

Spatial gradient {{unreferenced, date=July 2016 A spatial gradient is a gradient whose components are spatial derivatives, i.e., rate of change of a given scalar physical quantity with respect to the position coordinates. Homogeneous regions have spatial grad ...

, a gradient whose components are spatial derivatives *

Grade (slope) The grade (also called slope, incline, gradient, mainfall, pitch or rise) of a physical feature, landform or constructed line refers to the tangent of the angle of that surface to the horizontal. It is a special case of the slope, where zero in ...

, the inclination of a road or other geographic feature

Mathematics

Gradient descent In mathematics, gradient descent (also often called steepest descent) is a first-order iterative optimization algorithm for finding a local minimum of a differentiable function. The idea is to take repeated steps in the opposite direction of the ...

, a first-order iterative optimization algorithm for finding the minimum of a function *

Gradient theorem The gradient theorem, also known as the fundamental theorem of calculus for line integrals, says that a line integral through a gradient field can be evaluated by evaluating the original scalar field at the endpoints of the curve. The theorem is ...

, theorem that a line integral through a gradient field can be evaluated by evaluating the original scalar field at the endpoints of the curve *

Gradient method In optimization (mathematics), optimization, a gradient method is an algorithm to solve problems of the form :\min_\; f(x) with the search directions defined by the gradient of the function at the current point. Examples of gradient methods are t ...

, an algorithm to solve problems with search directions defined by the gradient of the function at the current point *

Conjugate gradient method In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is positive-definite. The conjugate gradient method is often implemented as an iterativ ...

, an algorithm for the numerical solution of particular systems of linear equations *

Nonlinear conjugate gradient method In numerical optimization, the nonlinear conjugate gradient method generalizes the conjugate gradient method to nonlinear optimization. For a quadratic function \displaystyle f(x) :: \displaystyle f(x)=\, Ax-b\, ^2, the minimum of f is obtained whe ...

, generalizes the conjugate gradient method to nonlinear optimization *

Stochastic gradient descent Stochastic gradient descent (often abbreviated SGD) is an iterative method for optimizing an objective function with suitable smoothness properties (e.g. differentiable or subdifferentiable). It can be regarded as a stochastic approximation of ...

, iterative method for optimizing a differentiable objective function *

Slope In mathematics, the slope or gradient of a line is a number that describes both the ''direction'' and the ''steepness'' of the line. Slope is often denoted by the letter ''m''; there is no clear answer to the question why the letter ''m'' is use ...

, a number that describes both the direction and the steepness of a line

Mathematics

See also