Abstract: |
In this paper, we present a novel method for analysis of Ayurvedic pulse signals via a recently developed nonlinear dimensionality reduction scheme called Consensus Locally Linear Embedding (C-LLE). Pulse Based Diagnosis (PBD) is a prominent method of disease detection in Ayurveda, the system of Indian traditional medicine. Ample anecdotal evidence suggests that for several conditions, PBD is superior to conventional allopathic diagnostic methods. Practitioners of PBD rely on their ability to qualitatively sense changes in the pulse waveform. PBD is an inexpensive, non-invasive, and painless method; however, a lack of quantification and standardization in Ayurveda, and a paucity of expert practitioners, has limited its widespread use. The goal of this work is to develop the first Computer-Aided Diagnosis (CAD) system able to distinguish between normal and diseased patients based on their PBD. Such a system would be inexpensive, reproducible, and facilitate the spread of Ayurvedic methods. Digitized Ayurvedic pulse signals are acquired from patients using a specialized pulse waveform recording device. A set of 24 patients that are normal or diseased (slipped disc (backache), stomach ailments) were considered. In this study, the C-LLE scheme non-linearly projects the high-dimensional Ayurvedic pulse data into a lower dimensional space where a consensus clustering scheme is employed to distinguish normal and abnormal waveforms. C-LLE differs from the linear and nonlinear dimensionality reduction schemes such as PCA, LLE, and Isomap in that it (1) respects the underlying nonlinear manifold structure on which the data lies and directly estimates the pairwise object adjacencies in the lower dimensional embedding space, and (2) employs non-Euclidean similarity measures such as mutual information and relative entropy to estimate object similarity in the high-dimensional spectral space. Our C-LLE based CAD scheme results in a classification accuracy of 80.57% using relative entropy as the signal distance measure in distinguishing between normal and diseased patients based on their Ayurvedic pulse signal. Furthermore, C-LLE was found to outperform Locally Linear Embedding (LLE), Isometric Mapping (Isomap), and Principal Component Analysis (PCA) across multiple distance measures. |