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Here are some examples of data tensors whose observations are vectorized or whose observations are matrices concatenated into data tensor images (2D/3D), video sequences (3D/4D), and hyperspectral cubes (3D/4D). The mapping from a high-dimensional vector space to a set of lower dimensional vector spaces is a multilinear projection.
For instance, any linear combination of a fixed collection of independent normal deviates is a normal deviate. Many results and methods, such as propagation of uncertainty and least squares [5] parameter fitting, can be derived analytically in explicit form when the relevant variables are normally distributed.
This can be seen as the composition of K linear functions , …, and the softmax function (where denotes the inner product of and ). The operation is equivalent to applying a linear operator defined by w {\displaystyle \mathbf {w} } to vectors x {\displaystyle \mathbf {x} } , thus transforming the original, probably highly-dimensional, input to ...
Letting a number be a linear function (other than the sum) of the 2 preceding numbers. The Pell numbers have P n = 2P n−1 + P n−2. If the coefficient of the preceding value is assigned a variable value x, the result is the sequence of Fibonacci polynomials. Not adding the immediately preceding numbers.
Linear video editing. Linear video editing is a video editing post-production process of selecting, arranging, and modifying images and sound in a predetermined, ordered sequence. [1] Regardless of whether it was captured by a video camera, [2] tapeless camcorder, or recorded in a television studio on a video tape recorder (VTR) the content ...
Gamma correction is a type of power law function whose exponent is the Greek letter gamma ( γ ). It should not be confused with the mathematical Gamma function. The lower case gamma, γ, is a parameter of the former; the upper case letter, Γ, is the name of (and symbol used for) the latter (as in Γ ( x )).
A Multimedia database ( MMDB) is a collection of related for multimedia data. [1] The multimedia data include one or more primary media data types such as text, images, graphic objects (including drawings, sketches and illustrations) animation sequences, audio and video . A Multimedia Database Management System ( MMDBMS) is a framework that ...
An additional goal was to provide enough flexibility to allow the standard to be applied to a wide variety of applications on a wide variety of networks and systems, including low and high bit rates, low and high resolution video, broadcast, DVD storage, RTP/IP packet networks, and ITU-T multimedia telephony systems. The H.264 standard can be ...