A student and I were discussing the charts of birth, renunciation, and enlightenment for the Buddha, Siddhartha Gautama. These charts are amazing and worthy of many blog posts, a goal for another time. They are sourced from Buddhist Astrology, a really excellent book.

Perhaps I can just say for now that witnessing a Great One's chart is like They are right there, in front of you.

What I want to focus on here is the Jyotish of the Four Sights. I can not do the topic justice, but I would like to add a bit to the discourse.

The basic idea is that Shrii Gautama saw as a young man four sights, "four holy messengers", that led to his enlightenment: 1. an elderly man, 2. a sick man, 3. a dead man, and 4. a saddhu (holy man/monk), in that order.

Some say he saw them all at once, a day before renunciation. Others say that he saw them at different times. Based on the birth chart of the Buddha, I am inclined to think that the sights happened at different times and also not right before the renunciation chart took place. The order of the sights also makes sense from the birth chart.

Rather than showing you about that, I want to show you here the more important themes raised by the sights themselves. Let's begin by seeing where the themes of one through four are in anyone's chart:

[Edit: The latest and greatest on this project, including source files, can be seen at ​osf.io/s74hg]

I have posted a few times here about a rich dataset that I have.

Data were obtained from Stanford's SNAP data repository of Amazon.com reviews that gave daily misspelling rates; astronomical data were from Wolfram's Mathematica software and its astronomy resources.

Here is what the dataset looks like. Click on each picture to enlarge.

Each of the 5296 rows represents a sequential day in a 14.5 year span of Amazon review misspelling rates during Jan 1, 2000 to Jul 1, 2014.

Across the top are the labels. In each column is a simple, stable, linear function of the right ascension (i.e., the astrological Tropical degree) of the planet, moon, or star at midnight at the start of that day in London, UK. Retrogressions of the planets are also included.

The final column is the log of difference of the misspelling rate of the day from the 27-day SNIP baseline. (The Moon's right ascension completes its cycle every 27 and change days. That is the shortest cycle for any of the right ascensions.) Thus, it is the data over time minus its background noise. The following is a graph of this column's data over time.

SNIP stands for Sensitive Nonlinear Iterative Peak-clipping algorithm. This method preserves any cyclic patterns -- such as the planetary placements and retrogressions -- while discarding "background noise" in the data, which would tend to obfuscate the patterns. The SNIP method is not subjective. It comes out of processing signals within spectra and is unprejudiced. Note that the SNIP method comes from signal processing and tends to preserve cyclic behavior in spectra.

For today's study, the data for the first 80% of days were developed into a training group, and that of the subsequent 20% of days were isolated as a test group.

What was doing the training and testing? They were done entirely by an automated machine learning (AI) algorithm from BigML.com called DeepNet.  DeepNet* was applied to the training set of the first 80% of days. This DeepNet was then tested or evaluated on the last 20% of days. The DeepNet is a hands-off technique offered to anyone for free.

The chart below displays ridiculously good results as given in the usual AI industry way: the error rates for predictions for the 20% test group by DeepNet (in green) is dramatically smaller than other standard methods of prediction, in gray, which are based on the mean (average) rate of the training data or an approach assuming random chance. Moreover, the strong R-squared suggests good correlation of predicted misspelling rates to actual values only for the astronomical data of the DeepNet.

Astro-databank is the resource for researchers in astrology. It is a repository of birth information of many thousands of people and events and includes biographic data as well as the birth time, place, and date. Of high utility is the included Rodden Rating which tells us the accuracy of each chart.

An AA rating is "Data as recorded by the family or state". The expectation of many researchers is that AA data is of the highest accuracy possible and can be used freely.  In the following, I show statistically that it is extremely unlikely that the AA rating charts altogether are accurate. I will be considering charts of people only and only those born at or after 1930.

From here on, I will try to state things as explicitly as possible.

The common assumption (the null hypothesis) is that AA rating charts are all of high accuracy and hence, taken altogether, exhibit behavior of high accuracy. My assertion (the alternate hypothesis) is that AA rating charts do not exhibit behavior of accurate birth data.

One behavior of accurate birth data is that the minute of birth is evenly distributed. That is to say, a birth time of 8 minutes after the hour is not expected to happen much more or less than a birth time of 9 minutes after the hour, for example. 

The following is a simulation of a uniform distribution so that you you know what its plot looks like.

When it comes to modeling real-life phenomena for astrological research, earthquakes are one of the most widely studied.

And why not? After all, the exact time, place, and day are known as well as the strength of the effect (in magnitude).

However, a mapping of earthquake strength to solar system events has proven to be elusive, not to be dramatic, but until now.

Inspired by this Kaggle post, I decided to try my hand at this perhaps age-old problem, and I found that yes, earthquake magnitude correlates with the moon phase at the time of the event. (Moon phase has been looked at quite often but not with the model I will present today.)

First off, I went to https://earthquake.usgs.gov for the earthquake data. (Thanks to Joe Ritrovato for the link.)

​I wanted to look particularly at all earthquakes of any depth between Jan 1, 1975 and Jan 1, 2005. Those years were chosen, because a uniform seismograph was finally used through out the world by the mid-1970's, and hydraulic fracturing with its associated quakes was not yet in widespread practice. The search was further restricted to earthquakes of magnitude greater than 5.5, following this system of what counts as a serious earthquake. (Some lower limit to the magnitudes was necessitated by the search limit on the USGS site.)

Here is what my search looked like (be sure to also choose earthquakes only below the fold):

And here is what you will see if you press enter:

Astrological research is presently a tough row to hoe.

There is no money in it, and my clients actually don’t like it.

​They ask me why I do it. These are intelligent well-educated people, but they tell me they come to astrology because they are sick of science. ("One year coffee is good for you, one year it is bad for you…")

The work of astrological science is lonely, scary, and frustrating and really tough on me physically.

I do it instead out of love, out of passion, out of honestly wanting to know the answer.

That is why I say it is a hobby for me. I think that is a good thing.

I went to college full-time at fifteen, actually being able to emancipate based on my scholarship stipend. Some of my friends were getting PhDs at that age from schools like Harvard and Princeton.

One thing united us in order to work so hard and give up so much, so young. We all shared an immense personal love for science, actually being in love with Mother Nature Herself.

Then, 5 or 10 years later, we all made it into the profession, the industry, of science, and we almost all dropped out.

Research into fundamental astrology returns my gaze back to Mother Nature, and it is that worship which is really why I do it, and yet I certainly do keep all the numbers real. You must, to get really close to Her.

So, even though I do a particular methodological approach which is very big data and AI oriented, using pretty advanced mathematics, I do it for intensely personal reasons, and actually as an artistic expression, I feel. 

The methodologies that I would like to see at large in the future of astrology research would be ones that would speak to our fact-based culture as a whole, and maybe along the way, some money could be sent toward astrological researchers, because a need of society at large is met, some pressing practical societal need is answered.

Richard Feynman once said: “People who wish to analyse nature without using mathematics must settle for a reduced understanding.”

So, I think we have to increase our mathematics chops, even if we are doing hermeneutics, perhaps learning from all the good work happening in the digital humanities in the past decade.

We also have an opportunity to go beyond what even regular science provides society, and that is to do our work with love, for love.

It is not just an opportunity, it is a necessity, for astrology is and we are psychology and medicine and football games and politics and money and families, everything altogether, and that is love. I know it is.

Remarks prepared for The Kepler Conference, 2017.

Click on image to see the presentation from The Kepler Conference for Astrological Research, Jan 2017.

[Edit: a crazy further reduction in RMSE was achieved by finally using a neural net. The quick write-up of that can be seen here.

A full journal article was just approved for publication (March 2018). It will be referenced in the bibliography.]

To hear the audio of the misspellings, download the original file below and mouse over on the second red graph.

Presented at the Society for Scientific Exploration 2016 summer conference here in Boulder, Colorado.

A few weeks ago, I did an interview with the lovely Kanyakumari Ayurveda school.

A student read the interview and asked a very good question of her own:

Funny that you mention in the interview that as a teenager, astrology seemed embarrassing. I wonder when such sentiment started building? This reminded me of my classmate's comment. He is an Ivy league graduate who's not doing very well in life. He said "Astrology is too unscientific to me." My inside caption answer to that was "That's why you missed out on 3 big startup exit opportunities." My personal suspicion is that 1) on the surface, industrialization called for humans who just do what they are told, so the ruling class assigned prestige on things that push people further away from success like institutionalized education 2) or, more importantly, there was a cosmic change at some point (perhaps French revolution? End of feudalism?) that somehow pushed certain souls into higher state of consciousness and certain others into "employee" state of mind, to make the industrialization possible to begin with. I think something like this happened again when startup bubble started (division of super smart who use every wisdom passed down to mankind and super dumb thinking institutionalized "knowledge" enlighten them - like myself getting an MBA for a high price). What do you think cause that embarrssement in your young self?

Here is my answer:

Ah, that is a really cool question. I would say it is a bit of both. (Note the rise of the industrialist illuminati with the "Age of Reason".) The best politicians, religionists, industrialists, and businesspeople always​ have used astrology.

The separation of the "everyday people" from astrology probably did occur around the end of feudalism with the rise of industrialism and "Reason".

​My recent ancestors came from a time/space that was still somewhat feudal (early 1900's rural Slovakia, the last place in Europe to get Christianity fully and still not a "Reasonable" place), and the occult was and continues to be quite active in these communities.

​Even in the USA, where far-Eastern Europeans formed very strong communities, such as the pocket of Western PA in which I grew up, there is a deep abiding respect for and use of herbs, organic/biodynamic farming, astrology, and magic.

Remember that the library of the Vatican is covered with a beautiful astrology mural. It and others like it are all dated to 16th Century, an apex of astrological influence from right before the Age of Reason. Perhaps the installation of the separation of the everyday people from astrology  is a result of this apex of astrology, a kind of great peaking awareness of the ​power​ of astrology and a development of a long game of maximizing its power by the most resourced people. Industrialism also took everyday people away from the lessons of wild land and Nature, including the hidden lessons.

​I kind of consider myself one of the first Millennials, so to speak, where, 20 years ahead of the curve, I dropped academia for something much more cool, difficult, and truly worthwhile. As such, I have done things for reasons that I consider ancient: is it true? is it beautiful? is it eternal?  As a teenager, I shied away from astrology simply with a teenager's keen sense of the social: my friends were all science geeks like myself and I wanted to join the whole lot of them in conversation and not stick out.

It is only when we grew up, literally and metaphorically, did their and my respect for, and language and understanding of, these hidden spaces such as astrology grow and develop too. 

Also, how my parents did astrology seemed more about the immediate, the material. The truth, beauty, and eternity of Vedic astrology was not yet shown  to me. And theoretical science as a  field did show those traits to me. I am grateful for that knowledge now for their practical aspects and am only sad for the years of yearning, for the chasm in my life when science was all I had before Vedic astrology appeared, but as a friend points out, without that time, I would not be where I am today.

In a similar way, I am not angry at the Illuminati and the industrialists, et al. ​When astrology has a full comeback, it will be all the sweeter for having been tested.

Offered through Ayurved Sadhana Vidyalaya for a group that is both online and in-person.

We are only a week into each. (They are separate courses.)

There are full past recordings of each.

See http://ayurvedsadhana.com/sanskrit-and-jyotish/ for more.