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Information theory, Signal Analysis and Inverse Problem
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This book is intended for teaching Signal Analysis methods and Inverse Problems theory. It is completely open access and will remain free. It is currently illustrated with examples that we have actually encountered in geophysics, but will eventually evolve to address problems in biology. The main idea is to develop this material over time (probably every six months) and throughout our careers. Therefore, it is not yet complete and some minor points need to be corrected in this English version. It is also available in French ( https://www.dropbox.com/scl/fi/yx9le4tbwjg0ur7llp0fj/TheorieInfoTTS_vf.pdf?rlkey=uvc1ku8v4ihhogkcy0w2iixdf&st=gcddwegm&dl=0 ) and Portuguese ( https://www.dropbox.com/scl/fi/mx46mgn66ob3r1z9r0igq/TheorieInfoTTS_vp.pdf?rlkey=c8m9e8dmbwf1npu4bwfqkhblr&st=xveovcvs&dl=0 ). The MATLAB codes we used can be found at the following address: https://www.dropbox.com/scl/fi/6tedk1xyquswmh0vcekfi/matlab_book.zip?rlkey=cbj5ura63qy6u57ij2yzgggkw&st=8gp4gddd&dl=0
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On the Optimization of Singular Spectrum Analyses: A Pragmatic Approach
A pipeline combining mirrored signal extension, randomized SVD, energy thresholding, and hierarchical clustering reproduces classical SSA components on geophysical and biophysical time series without downsampling.
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