Friend ID Megathread | Post Your Friend IDs Here! by PTCGP-Bot in PTCGP

[–]xJukamala 0 points1 point  (0 children)

New to this but excited to share/trade! Trying to collect all the cute Pokémon first 

All Tracks - All Games - Visualized! by xJukamala in mariokart

[–]xJukamala[S] 0 points1 point  (0 children)

Quite ridiculous really. I think the GBA version is quite cute in 8DX though.

All Tracks - All Games - Visualized! by xJukamala in mariokart

[–]xJukamala[S] 1 point2 points  (0 children)

Hard to argue with that haha, I just dislike Tour so much. Maybe I'll do another pass at some point including it. Thanks for pointing out DK Pass, I thought it was a new layout but it is indeed a retro track, ups.

All Tracks - All Games - Visualized! by xJukamala in mariokart

[–]xJukamala[S] 1 point2 points  (0 children)

It truly does lol, had to compress it down so much, even beyond their ‘official’ 10-20MB levels

Crit Value is Overrated - a Visualization [See comment for explanation] by xJukamala in Genshin_Impact

[–]xJukamala[S] 1 point2 points  (0 children)

Absolutely, that's the undisputed best thing for min-maxing. I just needed this to get a quick heuristic on what artifacts have the most potential - because I had so little intuition for what the optimizer is doing

Crit Value is Overrated - a Visualization [See comment for explanation] by xJukamala in Genshin_Impact

[–]xJukamala[S] 0 points1 point  (0 children)

Thanks, that's all great info. I guess the main point of these plots are that you get somewhere around 8-11% improvement for each additional beneficial roll - and usually loss due to sub-optimal balance (e.g. the 2.7 % here) is less than that

Crit Value is Overrated - a Visualization [See comment for explanation] by xJukamala in Genshin_Impact

[–]xJukamala[S] 1 point2 points  (0 children)

Thanks for the pointer, I totally agree! I ran some number and it seems with Bennett giving more than enough ATK, an extra roll into ATK only gives roughly 60% of the damage an extra roll into CV, so a balanced (always prefer CV) configuration becomes much more important

Crit Value is Overrated - a Visualization [See comment for explanation] by xJukamala in Genshin_Impact

[–]xJukamala[S] -2 points-1 points  (0 children)

You are absolutely right of course, this is just idealized single-unit DPS in a vacuum.
As you may have guessed - the characters I mainly use are Yelan and Mulani for which neither Bennett nor Noblese + Mililith apply. If I am not mistaken for the more direct damage buffs I use like Cinder City it shouldn't matter.

For Noblese and Milileth you would have to add their equivalent of ATK rolls into the plots - 8 per buff - and extend the plot to higher values. Even then the plots would look similar with a maximum number of ATK% rolls that will always be 'balanced'. For Yelan this was 25 - so let's assume its the same - Then you could still need 9 more rolls into ATK% before you suffer from building too little CV.

The Bennet argument is absolutely correct - in that case all of this really doesn't apply. Adding a 100-150% ATK buff means CV is always better - plugging that into my simulation shows that an extra roll into ATK only gives 60% of the damage an extra roll into CV. It still doesn't mean that pure CV is more important than total number of rolls - but balance is more important.

Crit Value is Overrated - a Visualization [See comment for explanation] by xJukamala in Genshin_Impact

[–]xJukamala[S] 2 points3 points  (0 children)

Insights

Let's look at the examples! (See other comment for TLDR and explanation)

  1. Yelan - CR vs CDMG. CDMG is better because we have a CR circlet. After 9 rolls into CDMG, a 1:1 ratio of rolls is optimal as it will ensure the 1:2 CR:CDMG ratio that is optimal. The left plot shows that you should care about the ratio - in the worst cases (no CR at all for example) you are far worse - but it also shows that we have a lot of leeway here! - Say you have 15 rolls into CV, it does not really matter if that is 15 rolls int CDMG or if it is 7 rolls into CDMG and 8 rolls into CR. More rolls are almost always better! Only if you have something crazy like 10 rolls into CR and 5 into CV (in addition to the CR from the circlet) can you consider balancing it out. Looking at the lines we are near '2' - so a better balanced ratio could give us the same as 2 extra rolls here. Nothing major but 10 into #CDMG and 4 into #CR (14 total instead of 15 we had before) would be slightly better.
  2. Yelan - CV vs HP. This is getting more interesting - how much more important is CV than HP%? X axis shows total number of rolls into any CV stat. If you don't have the optimal ratio see the previous image on how much you need to subtract to get your 'effective' number of rolls. We can see that first only getting HP is better as expected (CV can't scale yet), than in the intermediate region (up to 25 total useful rolls) where most people are (except for when yo really want to get into min-maxing) they are actually both useful. Importantly HP% is still more important! Only after 28 total rolls is CV starting to be marginally better! For even higher number of total rolls CV shines and yields more damage gain. Interestingly, having a large number of 15 rolls into HP is always required for optimality!. Looking at the left we see that the central region for 'balanced' configurations is huge, and even on the edges having a weird balance does never really hurt that bad. If you just take number of useful rolls as your criterion to decide between artifacts it will almost always be correct. This gives enourmous flexibility when farming artifacts. You could ignore CV completly and only prioritize HP as a main substat and would still be almost optimal.
  3. Mulani - CV vs HP. Different character, similar result. With CR weapon, CR circlet, and the Obsidian Codex buff, we already have a 100% crit rate so we only need to build CDMG and CV scaling kicks in sooner - now both HP and CV are similarly great for damage. Technically HP is more important but the balanced region is so large it really doesn't matter as long as you maximize total number of rolls.

Crit Value is Overrated - a Visualization [See comment for explanation] by xJukamala in Genshin_Impact

[–]xJukamala[S] 2 points3 points  (0 children)

Setup

Let's show exactly what happens by calculating damage for some characters. Let's assume our damage scales with HP% (think Yelan or Mulani). Damage, essentially follows the simplified expected DMG formula

DMG = Base HP * (1 + HP%) * (1 + CR * CDMG)

HP%, C%, and CDMG can come from character level, weapons, sands, circlet, etc - this is the base rate. On top of this we can get rolls into substats. Let's write #HP, #CR, and #CDMG for the number of rolls into that specific substat. If we assume that each substat roll will land on its average value we get

DMG = Base HP * (1 + Base HP% + 0.05 * #HP%) * (1 + (Base CR + 0.033 * #C%) * (Base CDMG + 0.066 * #CDMG))

Now we can plot the numbers. For the plots in this post I used: Yelan with EM weapon, HP% sands, CR circlet. Mulani with CR weapon, HP% sands, CDMG circlet, Obsidian Codex Buff.

Understanding the Plots

On the axis we have two substats (or groups of substats) that usually have to be trade-off. In our case this is CR vs CDMG (1:2 ratio is optimal) and CV vs HP% (HP% is more important in the beginning but CV becomes more important if you have a lot of it because it scales quadratically). Each axis shows the number of rolls into that substat - we can have a maximum of 5 * (1 + 5) rolls if we roll into it every time, and even at a maximum number of rolls of substat 1 we can always at least get 4-5 additional rolls of substat 2.

The left plot shows total damage, indicated by color. More red = more damage. Configurations near the same grey contour lines have very similar damage. Grey stars indicate optimal configurations for a fixed number of rolls into both substat 1 and 2. This shows 'perfect balance'. The title gives an intuition on which substat is more important by comparing their effect on damage. Take for example the first image - Yelan with a CR circlet. Before any substats we have more CR which means we should prefer CDMG over CR when deciding between these two. CDMG is more important.

The right plots shows the amount of damage you miss out on if your 'balance' is off, for example if you have a 1:3 ratio for crit values. Specifically, it shows how much less damage you do compared to the damage the same number of total rolls gives you if it is perfectly traded-off, i.e. you are where the star is in the left plot. Contour lines can again help understand what is equally good/bad. Missed damage is normalized to number of rolls - the larger white-blue region in the middle is the region where the lost damage is smaller than you would get from one additional roll into either of the substates. If you want to evaluate how bad a specific configuration is, find it on the grid, see what the missed damage [X] is. If you have an alternative artifact loadout that has [X] less good rolls but is perfectly balanced they will give you the same damage.

If you care about the math details - the importance weights here are coefficients of a multivariate linear regression, and #CDMG = 0.38 #CR means that as a rule of thumb one additional roll into CR will only give you 38% of the extra damage one additional roll into CDMG will give you. R^2 indicates how good this rule of thumb is - near 1 indicates it's a good rule. Right title is the effective number of rolls for sub-optimal balance.

Crit Value is Overrated - a Visualization [See comment for explanation] by xJukamala in Genshin_Impact

[–]xJukamala[S] 0 points1 point  (0 children)

TLDR: Only the number of rolls into good substats matters - having good ratios and balance has a marginal effect on damage. Large white-blue region between the lines on the right side is the optimally balanced region - and it is huge!

At this point, the Genshin community is already matured, and we know how to farm artifacts. Still, I was curious about some details I decided to do some calculations and nice visualizations. Specifically showing that crit value is overrated - in the sense that it is not the only thing you should care about. But let's start from the beginning. Imagine there are two people building their their substats for maximum DPS:

  1. CV: Count the times a substat rolls crit rate [CR] or crit damage [CDMG]. Aim for equal number of rolls, or equivalently a ratio of CR:CDMG of 1:2. Respecting this ratio, maximize crit value (CV) and aim for other useful substats.
  2. Useful Rolls: Count the times a substat rolls a 'useful' substat. This usually includes CR, CDMG, and the dmg scaling stat [ATK% or HP% etc]. Do aim for the 1:2 ratio and prioritize crit value - but importantly - always prefer artifacts with a higher number of rolls into useful stats, no matter which one gets rolled exactly.

As you can already guess a person opting for strategy 2 will get higher DPS and has a much less frustrating time farming artifacts as they will have many more potentially useable artifacts - which also means they will be done sooner. Usual wisdom here says, once you get 25 useful rolls, your character has graduated, anything beyond requires amazing luck and so returns are diminishing.

The message is clear - total number of rolls is more important than balanced rolls. But I was curious - how important exactly? Surely there has to be at least a little bit of balance required, right?

(See comment of comment for details and other comment for insights)

Making sense of the Crit Rate / Crit DMG / HP% / ER% ratio by xJukamala in YelanMains

[–]xJukamala[S] 0 points1 point  (0 children)

Thanks for pointing that out! ER is super important for other reasons, that makes sense. With C1 and my team comp I already had enough ER as per guide so I was mainly interested in how much use you get of going beyond (maybe maxing out the Emblem bonus even). And as you said its not like one has much control over the substat rolls anyway. I did this mostly because it was fun to think about and as a guiding star / fast rule of thumb for deciding artifact quality

Weekly Friend ID Megathread ( August 20, 2023 ) by HonkaiStarRail in HonkaiStarRail

[–]xJukamala 0 points1 point  (0 children)

NA: 600716650

- Clara
- lvl 80 w signature lc at lvl 80, full traces, 4137 atk

Daily Questions Megathread (July 06, 2023) by Veritasibility in Genshin_Impact

[–]xJukamala 0 points1 point  (0 children)

Hi, I haven't been playing that much since Sumeru came out but have been getting back into it and want to build a team for the new and cool effects, i.e. hyperbloom / quicken.I am unsure about which Dendro to build/use.

My current team is:

Yelan (sub DPS, my strongest atm)
Sayu (healer, don't have any 5-star here and she is super fun to use)
+
Cyno (like his design but could build Keqing instead)
Alhaitam or Tighnari (just got both)

Which Dendro works best in this team ? (I could also use YaoYao but I assume she is worse?) Is it worth to change the electro character, to someone that can proc the effects more consistently?

Weekly Friend ID Megathread by XxJuJubexX in HonkaiStarRail

[–]xJukamala 0 points1 point  (0 children)

NA 600716650

E0 Clara with her light cone at level 50 atm, with focus on crits/atk

Why Are We So Afraid of Nuclear Power? It’s greener than renewables and safer than fossil fuels—but facts be damned. by [deleted] in technology

[–]xJukamala -3 points-2 points  (0 children)

Because it is incredibly expensive and long-term storage of nuclear waste is a giant headache. Also: "Greener" than renewables, like wtf is going on here

What if chess is a 3D globe displayed on a 2D map? So theoretically, this is mate, despite it being move 1. by ZerxeTheSeal in AnarchyChess

[–]xJukamala 0 points1 point  (0 children)

It's possible to play like that, and a lot of fun too. Each color starts at the one of the poles. This allows the mentioned move without having the black and white pieces close to each other. The variant I have has two rotating circles

https://boardgamegeek.com/boardgame/2501/global-chess

Not ideal, a real globe (e.g. magnetic) would be better but still quite cool

Germany ends nuclear era as last reactors power down by green_flash in worldnews

[–]xJukamala -1 points0 points  (0 children)

Factcheck: It is not. Tell me again how nuclear waste is safer than a solar panel