Each process has its parameters specified in a header. It is simply a matter of supplying a row for each curve under the correct process header row (where a curve is described by its four component keys; Market, CurveType, Asset, PriceCurrency).
Each correlation value is loaded on a separate row. Correlations are described as curve1, term1 and curve 2, term2 (where a curve is described by its four component keys).
The curve evolution processes available in the system are described in the section Parameter Estimation.