This research investigates the potential of document semantic representation considering both term frequencies and term associations. In particular, we proposed a general framework of the use of term spectra to represent term spatial distributions and associations through a document. The term spectra we explored involved the use of three typical techniques: Discrete Cosine Transform (DCT), Discrete Fourier Transform (DFT), and Discrete Wavelet Transform (DWT). A term affinity graph was established to represent each document. We then employed a new document analysis method (recently developed by authors), named Multi-Dimensional Latent Semantic Analysis (MDLSA), which enables us to formulate an efficient semantic representation of a document based on the term affinity graph. Our algorithm was examined in the application of Web document classification. Experimental results demonstrate that the proposed technique not only gains much computational efficiency compared to Direct Graph Matching (DGM), but also outperforms the state-of-art algorithms such as VSM, PCA, RAP, and MLM.
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