What is meant by a line search?

Reconnaissance along a specific line of communications, such as a road, railway or waterway, to detect fleeting targets and activities in general.

What is a line search best used for?

A line search is a sub routine in the algorithm to choose a step size such that the new iterate the objective has a lower value (i.e. ), or in some sense is a better point. In other words, a line search is a method to compute the step along a given direction .

How do you use line search?

Line search methods generate the iterates by setting xk+1=xk+αkdk where dk is a search direction and αk>0 is chosen so that f(x+1)0 that approximately minimizes f along the ray xk+αdk:α>0.

In which environment would a line search be the most effective?

The line method is best used outdoors as well, and is similar to the grid search with the exception that searchers generally only move in one direction, from one side of the search area to the other.

Why do we need a line search in gradient descent approaches?

Gradient descent, although computationally efficient, provides a slow rate of convergence. This is where line search comes into place and provides much better rate of convergence at a slight increase in computational spending.

What is the importance of Armijo condition in line search methods?

The Armijo condition ensures that the line search step is not too large while the Wolfe condition ensures that it is not too small. Powell [Pow76b] seems to have been the first to point out that combining the two conditions leads to a convenient bracketing line search, noting also in another paper [Pow76a] that use of …

Is gradient descent a line search?

The gradient descent algorithm is an optimization technique that can be used to minimize objective function values. The gradient descent algorithm with constant step length. Gradient descent and line search methods. Inexact line search methods and Wolfe conditions (line search method)

What is a line search forensics?

Line (strip) method. -Large outdoor crime scenes. -Members line up (arms length) and walk a straight path.

What is a zone search?

Quadrant/zone search: A search method in which the crime scene is divided into smaller sections (zones or quadrants) and team members are assigned to search each section.

What is a line search in forensics?

Line/strip search: A search method used by one or two investigators by walking in straight lines across the crime scene. Walkthrough: The initial survey of the crime scene carried out by the lead investigator where he or she will gain an overview of the scene in order to formulate a plan for processing the scene.

Is line search gradient descent?

Gradient Descent with Line Search Calculate initial loss and initialize step size to a large value. Update value of weights using the gradient and step size and calculate new loss. Decrease the value of step size by some factor and repeat step 2 until the new loss is less than the initial loss.

What is Armijo rule?

The Armijo Rule is an example of a line search: Search on a ray from xk in direction of locally decreasing f . Armijo procedure is to start with m = 0 then increment m until sufficient decrease is achieved, i.e., λ = βm = 1,β,β2,… This approach is also called “backtracking” or performing “pullbacks”.