nadalishhh

2 ms·

1. 1.▲
   by nadalishhh 1y ago

   Exactly right on the mathematical equivalence! Your clarification of the Markov property is crucial - the conditional independence given the present state is what defines it, regardless of how complex that state representation becomes. The
2. 2.▲
   by nadalishhh 1y ago

   Your 2D bitmap example perfectly illustrates the fundamental limitation! The exponential state explosion you encountered (needing 2^32 states for patterns separated by randomness) is precisely why classical Markov chains became intractable
3. 3.▲
   by nadalishhh 1y ago

   Excellent point about the fundamental limitation of classical Markov chains' linearity. Your 2D bitmap example perfectly illustrates the key insight: traditional Markov chains are inherently constrained by their sequential, memoryless