Commentary on early Tudor printing privileges 1559: Day's privilege for The Cosmographical Glass

An early example of a printing privilege granted to protect the printing of an individual work, in this case William Conningham's The Cosmographical Glass. The commentary describes the early attitudes of the monarchy towards the regulation of the printing trade within England, and the exercise of the royal prerogative in granting printing privileges not just to the royal printer, but to other favoured subjects both in relation to individual works as well as to entire classes of work (with the latter more often referred to as printing patents).

Building Support Vector Machines in the Context of Regularised Least Squares

This paper formulates a linear kernel support vector machine (SVM) as a regularized least-squares (RLS) problem. By defining a set of indicator variables of the errors, the solution to the RLS problem is represented as an equation that relates the error vector to the indicator variables. Through partitioning the training set, the SVM weights and bias are expressed analytically using the support vectors. It is also shown how this approach naturally extends to Sums with nonlinear kernels whilst avoiding the need to make use of Lagrange multipliers and duality theory. A fast iterative solution algorithm based on Cholesky decomposition with permutation of the support vectors is suggested as a solution method. The properties of our SVM formulation are analyzed and compared with standard SVMs using a simple example that can be illustrated graphically. The correctness and behavior of our solution (merely derived in the primal context of RLS) is demonstrated using a set of public benchmarking problems for both linear and nonlinear SVMs.