Now (7pm ET Wed) watch https://youtu.be/QS0VmCD9YLU(FEEL FREE TO SUBSCRIBE TO YOUTUBE
@hajiaghayi
FOR FUTURE LESSONS) Lesson 14: Introduction to Algorithms by Mohammad Hajiaghayi: We talk about #Probability (Part 2) useful for designing #randomized #algorithms

#algorithms, #design, #induction, #recursive, #randomizedalgorithms, #probability, #randominput ,
#probabilitytheory, #randomvariables, #expectations, #variance, #Bernoulli, #Binomial, #Poisson, #Normaldistribution, #Gaussian, #Python, #numpy.random, #scipy.stats, #correlation, #Pearson, #spearman, #geeksforgeeks , #hackerrank, #leetcode, #cs, #computerscience

Why do wide stochastic neural networks have vanishing variance?

https://openreview.net/forum?id=WGckk0bk5T

#stochasticity #stochastic #variance

but I not only have an strain-wide average leg size for the flies, but also a strain-wide #variance. So I can do the same GWAS to find genes associated with the morphological variation within a strain

#Weather is all about the #variance (so is the #StockMarket, but I digress). Sure #trends are important, but relating one time period to a long term #mean is misleading AND annoying. Yet, our #EnglishMajor overlords in #journalism, as usual, have no clue, so we get https://apnews.com/article/snow-winter-east-coast-climate-warm-0e20875c070df8c57a5f04f29749b9d0

@bsdphk As long as no sequence of 7 measures are all on the same side of the mean indicating the trend is offsetting ... 🥶 #earth #rotation #variance

For a #timeseries to be stationary the process that generates the data must be constant, the mean and the variance do not change.

✅ fairly horizontal

✅ constant variance

✅ no long term predictable patterns

Post: https://www.spsanderson.com/steveondata/posts/rtip-2023-01-24/

#timeseries #timeseriesanalysis #stationarity #variance #distribution #constant #generatingprocess #datagenerating #process #random #randomprocess #finance #stockmarket

Myth 8: A single #measurements does not have a #variance since there is only one data point

#uncertainty

https://diagrammonkey.wordpress.com/uncertainty-myths/

Well, it is a notable reminder of #ClimateChange. Lasy year, we didn't get more than an inch or so until around this time of year, but this year, we've probably got 2.5 feet so far. #variance https://www.thrillist.com/news/new-york/nyc-latest-measurable-snowfall-winter-record

The second is the number of sequences in the training MSA. The more the merrier, given they are of similar quality. We show that the number of sequences is - perhaps unsurprisingly - connected to the #variance of the inferred statistical model.

🚨 🧬 Non-neuro paper alert 🧬🚨

Is more data always better? Or should we select less data of higher quality?

We explored this question in the context of 🧬 #protein mutation fitness prediction from #MSA sequence data, finding a scaling law that relates the performance of statistical models to two simple data descriptors:

📜 https://www.biorxiv.org/content/10.1101/2022.12.12.520004v1 📜

The first descriptor is the mean Hamming distance of the training MSA data to the mutated sequence. This quantifies the "quality" of the data for the given problem - the closer to the mutated sequence, the better.

We show the Hamming distance is connected to the statistical #bias of the inferred model, with a prefactor that depends by the amount of high-order #epistasis that is not explicitly accounted for by the model.

The second is the number of sequences in the training MSA. The more the merrier, given they are of similar quality. We show that the number of sequences is - perhaps unsurprisingly - connected to the #variance of the inferred statistical model.

Therefore, given a bunch of training data, there is a clear trade-off between selecting a few "good" training points and including more, but of lower overall quality. We provide some heuristics to select the optimal subset of data given a model and a prediction problem.

P/ muitas pessoas q estão começando a conhecer esses termos, pode ser um saco ficar lembrando qual é qual. Bias (viés) e variância. Essas imagens sempre me ajudaram e topei com elas agora, portanto compartilho com vocês 😁 #bias #variance #statistics #ml #ai Dúvidas? Só falar 😉

Wow, the statistical concept of #variance turned 100 years old this July. That's so young in the mathematical history scale! It's hard for me to imagine statistics without variance.

https://en.wikipedia.org/wiki/The_Correlation_between_Relatives_on_the_Supposition_of_Mendelian_Inheritance