Affine transformations in an almost complex manifold with a natural affine connection

Almost Affine Lambda Terms

It is proved that a λ-term that has a negatively non-duplicated typing is always βη-equal to an almost affine λ-term.

Almost Affine Codes

An Affine Embedding of the Gamma Manifold

For the space of gamma distributions with Fisher metric and exponential connections, natural coordinate systems, potential functions and an affine immersion in R3 are provided.

Learning affine transformations

Under the assumption of weak perspective, two views of the same planar object are related through an affine transformation. In this paper, we consider the problem of training a simple neural network to learn to predict the parameters of the affine transformation. Although the proposed scheme has similarities with other neural network schemes, its practical advantages are more profound. First of...

Affine transformations and convexity

The purpose of this document is to prove some basic properties of affine transformations involving convex sets. Here are a few online references for background information: http://math.ucr.edu/∼res/progeom/pgnotes02.pdf http://math.ucr.edu/∼res/math133/metgeom.pdf Recall that an affine transformation of R is a map of the form F (x) = b+A(x), where b ∈ E is some fixed vector and A is an invertib...