How do I make complex decisions?
When I have a decision that requires me to consider a lot of aspects, I've always documented my thoughts. I would first start by writing down all the things that come to mind in relation to this decision: things I want to consider, things I don't want to forget, things that may be difficult to include as part of the decision, etc. I write as much as I can. Then I order the items I've listed by order of importance. What is it in all those ideas that I value the most?
When I've created a few alternative decisions, I evaluate each of the pros and cons. I use my list of importance to determine the solution that best aligns with those values. Oftentimes I will have an acceptable decision, but there will be parts of the decision that will need to be ironed out so that it is a good decision.
I always consider how important the decision is to determine how much time I will spend on that decision. There is no value in optimizing the decisions that have a negligible impact on you, but important decisions can definitely have a long term impact on your life. Note that I didn't say that complex decisions were important decisions. Sometimes complex decisions are not important at all. In that case, it is not worth thinking about this decision for too long.
Should I solve my problem with AI?
First start with a non-AI solution, then look into AI if what you have is unsatisfactory.
In this day and age, we want to make AI solve all kinds of problems, even those that don't require AI.
When you build a product, you generally have a problem you are trying to solve. With AI, companies are looking at existing problems and trying to find ways to turn them into AI problems. It is not a problem in itself to attempt the exercise, but it is a mistake to implement an AI solution where a non-AI solution would've been more than adequate. There is still a lot of work that needs to be done in the field of automation that does not require AI, but simpler statistical approaches.
A lot of research in the field of machine learning and deep learning like to point to Occam's razor in order to create simple models, but they sometimes seem to forget to apply the same principle to the whole solution, that is, do I need AI for this or would something simpler be as good?
A problem with the current wave of AI companies is their relation to AI itself. They corner themselves into doing AI only, while AI still highly relies on programming and IT, which are still highly technical but a lot less glamorous. It is definitely exciting to sell products that have AI in them, but starting with the tool and not the problem that needs to be solved is similar to trying to find all the problems a hammer can solve instead of knowing that you need a hammer when you want to nail something.
Is there value in writing everything down?
I had this question when I started my research journey towards AGI. At one point I realized I wouldn't be able to hold everything in my brain and that I needed to write down what I was thinking about so that I would be able to come back later, re-read what I wrote and continue making progress on what I was working on, whether it had been a day, a few weeks, or many months.
There is definite value in writing everything down. It frees your mind, letting you delegate the task of remembering to the computer. A thought I might have had more than five years ago can still be accessible to me if I wrote it down, but it's unlikely I'll remember exactly what I was thinking five years ago by "thinking really hard". Nowadays I have trouble even remembering what I was working on a few hours prior due to the high volume of interruption I face in my work. Writing things down allows me to keep a record of what I'm doing.
One of the main concerns of writing everything down is that it can be seen as a waste of time. We often write and never read what we wrote again. As I write more and more, it becomes less and less likely that I will read what I've written in the past because the volume of content increases requiring more time to read. For the same amount of time spent reading, I cover the same constant amount of content, but the amount of uncovered content keeps growing, assuming I review prior content more than once.
I don't view writing that is not read again to be wasteful. Sometimes writing down our thoughts allows us to figure out an issue that is blocking us. Sometimes expressing what we feel makes us realize that the feelings themselves are very hard to explain. Sometimes we just need a buffer where we can jot things down and get rid of it once we're done.
Writing (and sharing) has the benefit that your thoughts can be reused by others. They can also be reused by your future self if you end up facing the same situation again.
What is the most complex sequence that can be made from a n-long binary string?
0....0 and 1....1 are easily compressible, thus what is the most unpredictable sequence?
Let's proceed by induction.
0 and 1 have a 50% to be selected in a 1-long binary string, thus they are both the most complex examples of a 1-long binary string.
With two bits, we introduce two patterns: repeating and alternating. Repeating means that the bits are repeated for the complete string. Alternating means that the bits are alternating between 0 and 1 given a certain periodicity.
From our initial observation we suggested that the repeating pattern was likely to be the simplest because it consists of defining the symbol (0 or 1) that is repeated and the number of repetitions. We can say that this function has two parameters: length and symbol.
The same can be said about the alternating pattern. If you provide the initial symbol and the length of the pattern, you've defined its parameters. We can say that this function also has two parameters: length and starting symbol.
Using those two descriptions, we can observe that the alternating pattern is in fact a special case of the repeating pattern, where the symbol is 2 bits instead of one.
00 = repeating(2, 0)
01 = alternating(2, 0) = repeating(1, 01)
10 = alternating(2, 1) = repeating(1, 10)
11 = repeating(2, 1)
|001||complex, or alternating, periodicity=2|
|011||complex, or alternating, periodicity=1,2|
|100||complex, or alternating, periodicity=1,2|
|110||complex, or alternating, periodicity=2|
001, 011, 100, 110 can be described as alternating and repeating, which is more complex than the previous examples as it requires the composition of two operations.
4 complex examples (001, 011, 100, 110) have been introduced at this stage.
|0001||complex, or fill & flip|
|0010||complex, or fill & flip|
|0100||complex, or fill & flip|
|0111||complex, or fill & flip|
|1000||complex, or fill & flip|
|1011||complex, or fill & flip|
|1101||complex, or fill & flip|
|1110||complex, or fill & flip|
Here we first observe the presence of the alternating pattern with a periodicity of 2. We also observe the first case of a mirror pattern with 0110 and 1001. It could be claimed that 010 and 101 is the uneven equivalent of the mirror pattern for 3-long binary strings. The remaining "complex" examples are again displaying alternating and repeating patterns at the lower level.
One observation is that the complex patterns appear to be the variants where 1 bit is the opposite of the remaining bits, the only special case so far being for the 3-long binary string where the pattern is considered alternating. Instead of considering it a complex pattern, it could be described as the operation "fill X bits with 0/1, then flip by Y".
From those few inductive iterations, we can see that the first and last string are always the repeating pattern. We also observe that the first half of the strings exhibit the same pattern of the second half of the strings, which is expected due to the binary nature of the string.
At this point there is still not enough information to be able to derive an answer to the original question, given that the strings can be described using 4 patterns: repeating, alternating, mirror, and fill & flip.
8 complex examples are found at this stage.
|00001||fill & flip|
|00010||fill & flip|
|00100||fill & flip|
|00101||complex, or 0 and alternating, periodicity=1|
|00110||complex, or alternating, periodicity=2|
|01000||fill & flip|
|01001||complex, or 0 and mirror|
|01011||complex, or 0 and fill & flip|
|01100||complex, or alternating, periodicity=1,2,2|
|01101||complex, or 0 and fill & flip|
|01110||complex, or alternating, periodicity=1,3,1|
|01111||fill & flip|
The second half of this table was not written down due to the previous observation that the patterns are the same, simply inverted.
At this stage, the complex patterns that emerge are difficult to express using the prior language. Composition needs to be used, e.g. 00101 can be described as 00 then 101.
14 complex examples are found at this stage.
At this point in my study, I would summarize as follows:
- Repeating, alternating and fill & flip are low complexity. For a n-long binary string, this implies 2 repeating patterns, 2n fill & flip patterns, 2n alternating patterns of periodicity=1.
- Complexity appears to emerge from alternating patterns with varying periodicity. As we're working with longer and longer strings, the periodic patterns will start to become periodic themselves (I believe this is leading to fractal).
- The fill & flip pattern appears to be able to cover most of the complex cases that appear as the length of the binary string increases.
- Some of the patterns can be expressed as a few alternatives, for example 01110 as alternating, periodicity=1,3,1, but also as 0 and fill & flip (or even an "odd" mirror). My intuition would lead me to think that those cases that can be expressed in multiple ways are less complex.
- It wasn't done during this analysis, but it may be possible to apply operations overlayed on one another, such as two alternating patterns, one with a periodicity of 2 and one with a periodicity of 3, and use logic operators such as AND/OR/XOR (and their negative variants) to recreate the pattern
- The sequence of complex examples seems to be as follows: 0, 4, 8, 14, ...
- It would be interesting to look at those strings from a logic circuit point of view. For example, 00000 can be produced from a single signal (0) routed to 5 exits, 00001 would be a single signal (0) routed to 4 exits and to one not gate which is then routed to an exit. Assuming the input signal is always 0, producing 11111 would require 1 not gate.
What can cause us to learn inefficiently?
There are many reasons which can cause someone to learn at a slower pace than what should be possible for them. This can be caused by many factors, amongst them:
- Learning the same material under different wordings: You are going through material which you've already read, thus this "new" material is not providing you with any fresh information.
- Learning outdated material: You are learning material that has already been replaced with better material. It may be useful to learn outdated material for the historical purpose, but you should always aim to know what is the latest material.
- Learning incorrect material: You are learning material that is effectively not providing you with the information you want to learn. It may appear like you are learning something, but learning the wrong facts is a waste of your time.
- Learning from a source that makes the material difficult to understand: Learning efficiently is about learning from the best sources. If the material you have makes it difficult to understand what you are trying to learn, you should look for content elsewhere.
- Learning material for which we do not know the prerequisites: Learning a topic when we do not have the prerequisite knowledge will generally lead to confusion and make it difficult, if not impossible to learn.
- Learning from multiple sources with contradictory information: Learning from sources that disagree on facts makes it difficult to learn because you have to either accept that both answers are true, which can be complicated when they contradict each other, or that you need to establish which answer is the correct one, which requires additional effort.
- Learning while not being completely focused on the task: When learning, it is imperative to dedicate our focus to the task. Not doing so is likely to lead to information falling through the cracks of focus, leading to gaps in understanding, leading to requiring to go through the material again.
What is important to do while learning is to recognize when certain behaviors or circumstances make learning less efficient than desired and writing those behaviors or circumstances down so that you may have your own list of causes for learning less efficiently. As you discover those causes, make sure to put in place some contingency plans that will help you reduce their impact on your learning abilities.