Back when I was in college (~20 years ago) I was struggling to understand generative models, and I asked my CS professor.
he said, "imagine god is sitting around emitting DNA sequences. She has sevearl 4-sided biased dice, rolls one of the 4-sided die, BAM, emit an A! Again, roll the die, BAM, emit a A! Roll again, BAM, emit a T! Now, imagine god is a fickle person, and between rolls, decides to roll a die to decide which of the biased die to roll.
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Back when I was in college (~20 years ago) I was struggling to understand generative models, and I asked my CS professor.
he said, "imagine god is sitting around emitting DNA sequences. She has sevearl 4-sided biased dice, rolls one of the 4-sided die, BAM, emit an A! Again, roll the die, BAM, emit a A! Roll again, BAM, emit a T! Now, imagine god is a fickle person, and between rolls, decides to roll a die to decide which of the biased die to roll.
For some reason, that helped.