Originally, "empirical" was used by the skeptic Sextus Empiricus to refer to those ancient Greek practitioners of medicine who rejected adherence to the dogmatic doctrines of the day, preferring instead to rely on the observation of phenomena as perceived in experience. A central concept in science and the scientific method is that all evidence must be empirical, or empirically based, that is, dependent on evidence that is observable by the senses. In a second sense "empirical" in science may be synonymous with "experimental". In this sense, an empirical result is an experimental observation. -Wikipedia
The concept of entropy in information theory describes with how much randomness (or, alternatively, 'uncertainty') there is in a signal or random event. An alternative way to look at this is to talk about how much information is carried by the signal. -Wikipedia
EmpiricEntropy is not a band but a concept. Musicians might come and go, and each new song might be something different entirely. Rooting in empiric, sensory experimentation, feeling that the song and its creative process should be experienced, and building a song around what is sounds like, and not on abstract non-empiric rules, breaking everything down to primitive tones, and beats arranging and rearanging them in accordance with entropic "randomness" and no preset path. I came up with the name and idea several years ago when first "composing" ambiental soundscapes, yet having no idea of songwriting, chords and other such basics of musicianship. It was an absolutely free enterprise, creating sounds by striking a cup with a teaspoon and ratling pencils in a box. The rest is, as they say, history.
EE has since outgrown its original concept and developed into a more multimedia-artistic output project for the katharsis of our souls whenever we feel like it.