Shout out for an app called Language Transfer that I just came across via Reddit (https://www.languagetransfer.org/). It teaches languages speaking first through a simple audio course. Developed by one guy, completely free and without ads.
From what I’ve seen so far has a very clear focus on quickly getting up to speed with a different angle than other courses. It talks about how to build vocabulary by looking at general patterns for shared vocabulary between languages.
Sequential Bayesian Filtering is how you apply repeated evidence to a moving target. There are three steps:
1. Predict: Using some Markov process, move your prior distribution forward in time so it's compatible with your new evidence. (Intuitively, everything becomes less certain as it's free to move around. Mathematically, doing this with continuous probabilities tends to mean an incredibly gross integral.)
2. Update: Using Bayes' Rule, update your probabilities with the new evidence. (Intuitively, this bunches the distribution back up. If the predict/update don't vary in time/quality, this tends to asymptotically reach some sort of balance. Mathematically, this tends to also be gross.)
3. Notreallyastep: Recycle your results as the priors in step 1 next time. (Note this means your result needs to be in the same format as your old priors if you don't want to re-solve all the math every update.)
If you get around the gross math by doing everything in finite space and brute forcing it (integrals become summations), you get a hidden Markov model.
If you get around the gross math by dingo a Monte-Carlo approximation, you get a particle filter.
If you assume your priors are normal, your evidence is normal, and your update function fits in a matrix multiplication, then you're in luck: all of the math works out so your result is also normal. That's a Kalman Filter.
I enjoyed watching the video just because it gives an idea how big one of these company's warehouses is. (Best view starts about 0m55s.) Those are some tall shelves, and there are a lot of rows of them.
They're supplying probably millions of people with food, so it makes sense, but I still found the visual impact interesting.
> Plus these sensations can also be associated with memories linked to a certain song, which cannot be controlled in a laboratory setting.
First band I thought about after reading this sentence is Boards of Canada. In an article published last year [1] they explain how music by the group is able to inject memories of childhood and foresee the notion of the lost future.
I personally get goosebumps in almost every song by this band.
From what I’ve seen so far has a very clear focus on quickly getting up to speed with a different angle than other courses. It talks about how to build vocabulary by looking at general patterns for shared vocabulary between languages.