Wyvern

[Maki's Atelier 🐀 @makisatelier]

Hottest supporting character

[Re: Zero News by Ice @rezero_ice]

Re: Zero Season 4, Episode 18: Ram vs. Rye Batenkaitos.

I have no words. UTTER. PEAK. Over three minutes of sheer, unbridled cinema.

[Crunchyroll @Crunchyroll]

Too slow for Ram 🔥 (via Re:ZERO -Starting Life in Another World- Season 4)

[Zıpkın Yiğit @zipkinyigit]

şunu 2 ay boyunca yaparsanız manitayı 1 saat pompalarsınız

[DiscussingFilm @DiscussingFilm]

Jollibee stuns at the world premiere of DreamWorks’ ‘FORGOTTEN ISLAND’.

[kyrie | samtember 🪽 @asawa_ni_bucky]

anyway here's a way to bypass the discord ban

[Jason / Rizal ⚡ @ShockRizal]

If your Discord and Reddit is still banned (Philippines), change ur DNS in the IPv6 address in your PC settings:

Google DNS:
2001:4860:4860::8888
2001:4860:4860::8844

Cloudflare:
2606:4700:4700::1111
2606:4700:4700::1001

OpenDNS
2620:119:35::35
2620:119:53::53

then restart

[Yoshi 📺💜 | TV Head Vtuber @Yoshi_Moshi_]

to all filipino homies, here you go! how to change the dns step by step :D whether you know or not :D

[Lilita🤍 《 Malkuth 》 @LunaAlphaLilita]

oomf reach out to me on discord if im doing okay
they told me

"you arent affected? check the news"

I fucking laugh so hard
anyway

anyone or my fellow oomfies who live in Philippines

just do this on your PC and your Phone
just change the DNS 1.1.1.1 and 1.0.0.1

[Mother's Milk-母乳 @ShockerDoc5261]

ひどいなあ、妹とかないんか？

#rezero #リゼロ

[Hurricane @HurricaneCrypt0]

THIS IS F**KING INSANE

This guy in just 16 minutes teaches you how to monetize a YouTube channel in 9 days

bookmark it, you’ll need it later

[vixhaℓ @TheVixhal]

I found out my girlfriend cheated on me. Instead of breaking up right away, I made a fake account, sent her the proof anonymously, and told her that if she didn’t send me money, I’d tell her boyfriend everything.

I shared this whole plan with my best friend for advice, but this mf went behind my back and shared everything with my girlfriend.

When confronted, he said
Why does it matter? I thought she deserved to know.

He wasn’t just betraying me. He was behaving like a random variable after you marginalize out all the hidden information.

In probability, to understand what you actually know, you marginalize over hidden variables.

That means you sum over all the possibilities you can’t observe to compute the probability of what you can observe.

Marginal probability is a statistical measure that represents the probability of a single event by aggregating over all possible values of other variables.

Formula
P(A) = Σ P(A, Bi)

Where
P(A) = Marginal probability of event A
P(A, Bi) = Joint probability of A and B
Σ = Summation

Let's take an example and solve step by step

A dating app wants to find the probability of users sending messages, regardless of whether they get a response. The data shows message sent vs response received:

Short forms
- M = Message
- R = Response

Joint Probability Table
- M (Yes), R (Yes) = 0.30
- M (Yes), R (No) = 0.25
- M (No), R (Yes) = 0.10
- M (No), R (No) = 0.35

Step 1 What we want to marginalize
- We want P(M = Yes)

Step 2 Joint probabilities for M = Yes
- P(M = Yes, R = Yes) = 0.30
- P(M = Yes, R = No) = 0.25

Step 3 Apply marginal probability
- P(M = Yes)
- P(M=Yes, R=Yes) + P(M=Yes, R=No)
- 0.30 + 0.25 = 0.55

P(Message = Yes) = 0.55

Final Answer
The marginal probability of a user sending a message is 0.55 or 55%, regardless of whether they receive a response.

Congratulations, you've just learned Marginal Probability.

Bonus: Applications in AI/ML

1. Bayesian Networks:
Computing marginal probabilities by summing out irrelevant variables to make predictions and inferences in graphical models.

2. Latent Variable Models:
In topic modeling (LDA) and hidden Markov models, marginalizing over hidden states to find the probability of observed data.

3. Feature Selection:
Identifying which features independently correlate with target variables by computing marginal distributions, helping reduce dimensionality.

4. Probabilistic Classification:
Naive Bayes classifiers use marginal probabilities of features to classify data, assuming independence between features.

[Hush @hush_web3]

You need to get angry.

[Phoenix @PhoenixKaisen]

The most perfect Knight😌

[Fortnite @Fortnite]

“Looks like my summer vacation is… over.” -R

[802 Q🐇 @NguyenAnhQuoc41]

Nah, real.....

[枕スズ @makura_suzu]

#リゼロ #rezero

[Anime Posts @AnimeePost]

This week's Isekai episodes be like 😭

[Re: Zero News by Ice @rezero_ice]

Re: Zero Season 4, Episode 16: "Natsuki Subaru"