A Canonical Form of Vector Machines

A Canonical Form of Vector Machines

We introduce RS-vector machines (RS-VMs) as a canonical form of vector machines. They are based on vector operations called repeat and stretch. Repeat enlarges a vector (a1 , a2 , ..., am) to (a1 , a2 , ..., am , a1 , a2, ..., am) and stretch enlarges (a1, a2, ..., am) to (a1, a1, a2, a2, ..., am, am), when the expansion factor d(m)=2. It is shown that we can change the power of RS-VMs dependin...

A Comparative Study of Extreme Learning Machines and Support Vector Machines in Prediction of Sediment Transport in Open Channels

The limiting velocity in open channels to prevent long-term sedimentation is predicted in this paper using a powerful soft computing technique known as Extreme Learning Machines (ELM). The ELM is a single Layer Feed-forward Neural Network (SLFNN) with a high level of training speed. The dimensionless parameter of limiting velocity which is known as the densimetric Froude number (Fr) is predicte...

STAGE-DISCHARGE MODELING USING SUPPORT VECTOR MACHINES

Establishment of rating curves are often required by the hydrologists for flow estimates in the streams, rivers etc. Measurement of discharge in a river is a time-consuming, expensive, and difficult process and the conventional approach of regression analysis of stage-discharge relation does not provide encouraging results especially during the floods. P

A Canonical Quadratic Form on the Determinant Line of a Flat Vector Bundle

Abstract. We introduce and study a canonical quadratic form, called the torsion quadratic form, of the determinant line of a flat vector bundle over a closed oriented odd-dimensional manifold. This quadratic form caries less information than the refined analytic torsion, introduced in our previous work, but is easier to construct and closer related to the combinatorial Farber-Turaev torsion. In...

A Rational Canonical Form Algorithm