Thought vector is a term popularized by Geoffrey Hinton, the prominent deep-learning researcher, which uses vectors based on natural language to improve...

physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude...

representation is a real-valued vector that encodes the meaning of the word in such a way that the words that are closer in the vector space are expected to be...

operations on the above sorts of vectors. A vector space formed by geometric vectors is called a Euclidean vector space, and a vector space formed by tuples is...

documents, the skip-thought model is trained to take a sentence as input and encode it into a skip-thought vector. The skip-thought vector is used as input...

In epidemiology, a disease vector is any living agent that carries and transmits an infectious pathogen such as a parasite or microbe, to another living...

The KRISS Vector is a series of weapons based upon the parent submachine gun design developed by the American company KRISS USA, formerly Transformational...

thought of as an extension of the traditional 2D vector editors, as they share some common concepts and tools. Vector graphics Comparison of vector graphics...

a special case of the fundamental theorem of calculus. Vector fields can usefully be thought of as representing the velocity of a moving flow in space...

point, the zero vector is called the origin. Adding a fixed vector to the elements of a linear subspace (vector subspace) of a vector space produces an...

assigned to each word in a sentence. More generally, attention encodes vectors called token embeddings across a fixed-width sequence that can range from...

dependent vector field is a construction in vector calculus which generalizes the concept of vector fields. It can be thought of as a vector field which...

In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space...

position which returns a scalar as a value), or a vector field (that is, a function which returns a vector as value). If a region R is not flat, then it is...

In vector calculus, a conservative vector field is a vector field that is the gradient of some function. A conservative vector field has the property...

in natural language processing (NLP) for obtaining vector representations of words. These vectors capture information about the meaning of the word based...

polar vector × polar vector = axial vector axial vector × axial vector = axial vector polar vector × axial vector = polar vector axial vector × polar...

these vectors can represent a network of neurons whose connections fire in different ways over time as synapses fire. These large thought vectors in the...

sets of algebraic objects related to a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors. There...

a complex vector bundle is a vector bundle whose fibers are complex vector spaces. Any complex vector bundle can be viewed as a real vector bundle through...

{\displaystyle L} . In qualitative terms, a line integral in vector calculus can be thought of as a measure of the total effect of a given tensor field...

In vector calculus, the gradient of a scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued...

a vector flow can be thought of as a solution to the system of differential equations induced by a vector field. That is, if a (conservative) vector field...

{\displaystyle X^{i}} into the vector E ( X i ) {\displaystyle E(X^{i})} , then prepend the vector with the "prefix vector" Z ~ {\displaystyle {\tilde {Z}}}...

of multidimensional vectors or infinite-dimensional vectors. The input of a vector-valued function could be a scalar or a vector (that is, the dimension...

linear algebra, an eigenvector (/ˈaɪɡən-/ EYE-gən-) or characteristic vector is a vector that has its direction unchanged (or reversed) by a given linear transformation...

in applied mathematics and vector calculus which has many applications in physics. For transport phenomena, flux is a vector quantity, describing the magnitude...

Since every unit vector can be thought of as a point on a unit sphere, and since a versor can be thought of as the quotient of two vectors, a versor has...

In mathematics, a symplectic vector space is a vector space V {\displaystyle V} over a field F {\displaystyle F} (for example the real numbers R {\displaystyle...

owned a 35% stake in troubled American sports car manufacturer Vector Motors, thought Vector and Lamborghini might be able to collaborate to improve their...