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Estimated Cutoffs
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gweeto  





Joined: 06 May 2006
Posts: 82

PostPosted: Tue Jun 06, 2006 5:57 am    Post subject: Reply with quote

deathtongue wrote:
maynard wrote:
shutendoji wrote:
how do you guys do that? Get one point less or more in order to prove that? i think it'd take a long time


with a "win-the-crowd" cheat..so that the rockometer never falls..


Even then it takes a lot of time and effort.


I never use cheats in games but did for proving scores.
It works good although it *feels like I'm cheating to get contribution points* but I guess I'm not
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JCirri  





Joined: 04 Feb 2006
Posts: 4576

PostPosted: Tue Jun 06, 2006 6:40 am    Post subject: Reply with quote

Thanks for proving some of the cutoffs gweeto, I need more help like that from others also to determine all of the cutoffs.
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gweeto  





Joined: 06 May 2006
Posts: 82

PostPosted: Tue Jun 06, 2006 12:53 pm    Post subject: Reply with quote

No Problem!

I needed a fun break.

How do I get user stats at the bottom of my post by the way?
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gweeto  





Joined: 06 May 2006
Posts: 82

PostPosted: Tue Jun 06, 2006 1:05 pm    Post subject: Reply with quote

gweeto wrote:
No Problem!

I needed a fun break.

How do I get user stats at the bottom of my post by the way?



nevermind, I found it.
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Riff  





Joined: 08 May 2006
Posts: 104
Location: Champaign, IL

PostPosted: Fri Jun 09, 2006 2:56 pm    Post subject: Reply with quote

I just submitted screenshots of the 4-star cutoff for Godzilla on Easy mode. The cutoff is exactly 35484. This is precisely 2/3rds of 5-star cutoff as expected by the current cutoff rule assumptions.
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Riff  





Joined: 08 May 2006
Posts: 104
Location: Champaign, IL

PostPosted: Sun Jun 11, 2006 5:13 am    Post subject: Reply with quote

I strongly suggest you post estimated 4-star cutoffs rather than 5-star cutoffs. We now have known cutoff values for Godzilla on easy: 35484 for four stars and and 53226 for five stars. These values bolster the theory that the cutoffs for four and five stars are exactly 2 and 3 times the base score. If we consider this an axiom then the errors in your estimated 5-star cutoffs will be 50% greater than the errors in your estimated 4-star cutoffs. It is also possible to deduce the exact four-star cutoff when one three star rating and one five star rating differ by two points instead of one:

Assumption: The base score of a song is an integer. This seems like a reasonable assumption. If the sum of the note scores and hold points is fractional, it is rounded to the nearest integer.

Four Star Cutoff Axiom: The four-star cutoff is twice the base score

Corollary: All four star cutoffs must be even numbers. All integer multiples of two are even. The four-star cutoff is assumed to be twice the base score by the Four Star Cutoff Axiom.

Corollary: Given a proven four-star cutoff interval with a spread of 2 points, one can determine the actual cutoff value from the bounding values.

Proof:

In a valid 4-star cutoff interval, the lower bound must correspond to a 3-star rating and the upper bound must correspond to a 4-star rating. Two bounding values having a difference of 2 means that both values are even or both values are odd. If both values are odd, the actual cutoff value must be the number between the interval bounding values because it is the only value left that can be even. If both bounding values are even, the actual cutoff must be the upper bound. The number between the two bounds must be odd and so the only possible cutoff values are that of the bounding values. The lower bounding value always corresponds to a 3-star rating and as such it cannot be the 4-star cutoff.

Now, I admit, this doesnt make it any easier to deliberately target a specific score but gweeto has already proven bounding values with a difference of two points and it is a pain in the ass to shoot for a specific score. Given one sustained note and a corresponding non-sustained note, there is only a 2% chance of being able to hit the target score assuming that one releases the sustained note randomly without bias. You must either hit the target value upon releasing the sustained note, or you must hit (target + 50) mod 100 and then hit the non-sustained note (assuming that the nultiplier is 1X!).

The above deduction cannot be used for five-star cutoffs because an integer multiplied by 3 can be either odd or even. There is no way to determine which of the three known values will be be actual cutoff.

All of this is thrown out the window if the base score can be fractional but it is very unlikely that this is the case. Take note that among the various difficulty levels, there are multiple proven four-star cutoffs and all of them are even numbers.
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Echelar  





Joined: 26 Feb 2006
Posts: 1246
Location: Fort Wayne, IN

PostPosted: Sun Jun 11, 2006 5:49 am    Post subject: Reply with quote

Makes sense. It's also easier to get a 4 star score on difficult songs on expert. Maybe we can just loop over every song and output estimated cutoffs for e/ difficulty ... then you'd have all the estimations you'd ever want.
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Riff  





Joined: 08 May 2006
Posts: 104
Location: Champaign, IL

PostPosted: Sun Jun 11, 2006 7:58 pm    Post subject: Reply with quote

Whats your estimated cutoff for I Love Rock and Roll on easy? I've submitted proof that the four star cutoff is 24856 and I've submitted proof that the five star cutoff is 37269.

The thing that is odd is that your estimated 5-star cutoffs for the upper tier songs are higher than what the actual cutoff will be based on current evidence but if you didn't make a typo in your new BatM estimate, it is 281 to 368 points too *low* whiile your Texas Flood estimate is 225 to 274 points too *high*. A deterministic algorithm should yield estimates that are consistently too high or too low. This discrepency suggests that perhaps the note data is being processed incorrectly such that the hold lengths are not properly computed.
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krimsunmunkeys  





Joined: 16 Feb 2006
Posts: 1333
Location: The Hall of the SH Council... watching... (not really)

PostPosted: Tue Jun 13, 2006 6:33 pm    Post subject: Reply with quote

With my trusty new camera, I've been working at one that no one else wants to do: Texas Flood Expert.

I've gotten some good results, narrowing down to less than 100 points for the range. Give me a few more hours and I'll have the 5-star cutoff. From there I'll work on the 4-star.

However, once again, the results contradict your estimate. Right now I have 151,500-151,581, and you estimated 151,677.
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Riff  





Joined: 08 May 2006
Posts: 104
Location: Champaign, IL

PostPosted: Tue Jun 13, 2006 7:30 pm    Post subject: Reply with quote

Sorry to ruin the fun Mr. Green but here are my "estimates" for the expert difficulty cutoffs.

Guitar Hero Song Stats
EXPERT difficulty

----------------------------------
I Love Rock and Roll
----------------------------------
Base score: 25481 (Contributing Sustain: 1731, Actual Sustain: 1756)
Four star cutoff: 50962
Five star cutoff: 76443

----------------------------------
I Wanna Be Sedated
----------------------------------
Base score: 62856 (Contributing Sustain: 2856, Actual Sustain: 2927)
Four star cutoff: 125712
Five star cutoff: 188568

----------------------------------
Thunder Kiss '65
----------------------------------
Base score: 57280 (Contributing Sustain: 6330, Actual Sustain: 6430)
Four star cutoff: 114560
Five star cutoff: 171840

----------------------------------
Smoke on the Water
----------------------------------
Base score: 61943 (Contributing Sustain: 7493, Actual Sustain: 7602)
Four star cutoff: 123886
Five star cutoff: 185829

----------------------------------
Infected
----------------------------------
Base score: 65286 (Contributing Sustain: 6436, Actual Sustain: 6501)
Four star cutoff: 130572
Five star cutoff: 195858

----------------------------------
Iron Man
----------------------------------
Base score: 38629 (Contributing Sustain: 5179, Actual Sustain: 5289)
Four star cutoff: 77258
Five star cutoff: 115887

----------------------------------
More Than a Feeling
----------------------------------
Base score: 55752 (Contributing Sustain: 9002, Actual Sustain: 9092)
Four star cutoff: 111504
Five star cutoff: 167256

----------------------------------
You Got Another Thing Comin'
----------------------------------
Base score: 66181 (Contributing Sustain: 12881, Actual Sustain: 12991)
Four star cutoff: 132362
Five star cutoff: 198543

----------------------------------
Take Me Out
----------------------------------
Base score: 64093 (Contributing Sustain: 2693, Actual Sustain: 2733)
Four star cutoff: 128186
Five star cutoff: 192279

----------------------------------
Sharp Dressed Man
----------------------------------
Base score: 50491 (Contributing Sustain: 5091, Actual Sustain: 5185)
Four star cutoff: 100982
Five star cutoff: 151473

----------------------------------
Killer Queen
----------------------------------
Base score: 31037 (Contributing Sustain: 5387, Actual Sustain: 5446)
Four star cutoff: 62074
Five star cutoff: 93111

----------------------------------
Hey You
----------------------------------
Base score: 46503 (Contributing Sustain: 5953, Actual Sustain: 6110)
Four star cutoff: 93006
Five star cutoff: 139509

----------------------------------
Stellar
----------------------------------
Base score: 38218 (Contributing Sustain: 7318, Actual Sustain: 7424)
Four star cutoff: 76436
Five star cutoff: 114654

----------------------------------
Heart Full of Black
----------------------------------
Base score: 50888 (Contributing Sustain: 9188, Actual Sustain: 9273)
Four star cutoff: 101776
Five star cutoff: 152664

----------------------------------
Symphony of Destruction
----------------------------------
Base score: 46392 (Contributing Sustain: 3392, Actual Sustain: 3464)
Four star cutoff: 92784
Five star cutoff: 139176

----------------------------------
Ziggy Stardust
----------------------------------
Base score: 47532 (Contributing Sustain: 4532, Actual Sustain: 4588)
Four star cutoff: 95064
Five star cutoff: 142596

----------------------------------
Fat Lip
----------------------------------
Base score: 52982 (Contributing Sustain: 4482, Actual Sustain: 4569)
Four star cutoff: 105964
Five star cutoff: 158946

----------------------------------
Cochise
----------------------------------
Base score: 46256 (Contributing Sustain: 1206, Actual Sustain: 1267)
Four star cutoff: 92512
Five star cutoff: 138768

----------------------------------
Take It Off
----------------------------------
Base score: 41511 (Contributing Sustain: 6711, Actual Sustain: 6764)
Four star cutoff: 83022
Five star cutoff: 124533

----------------------------------
Unsung
----------------------------------
Base score: 87197 (Contributing Sustain: 3197, Actual Sustain: 3214)
Four star cutoff: 174394
Five star cutoff: 261591

----------------------------------
Spanish Castle Magic
----------------------------------
Base score: 39938 (Contributing Sustain: 1888, Actual Sustain: 1928)
Four star cutoff: 79876
Five star cutoff: 119814

----------------------------------
Higher Ground
----------------------------------
Base score: 58768 (Contributing Sustain: 6268, Actual Sustain: 6430)
Four star cutoff: 117536
Five star cutoff: 176304

----------------------------------
No One Knows
----------------------------------
Base score: 73957 (Contributing Sustain: 2507, Actual Sustain: 2604)
Four star cutoff: 147914
Five star cutoff: 221871

----------------------------------
Ace of Spades
----------------------------------
Base score: 43336 (Contributing Sustain: 6636, Actual Sustain: 6728)
Four star cutoff: 86672
Five star cutoff: 130008

----------------------------------
Crossroads
----------------------------------
Base score: 62791 (Contributing Sustain: 2191, Actual Sustain: 2259)
Four star cutoff: 125582
Five star cutoff: 188373

----------------------------------
Godzilla
----------------------------------
Base score: 40767 (Contributing Sustain: 3717, Actual Sustain: 3792)
Four star cutoff: 81534
Five star cutoff: 122301

----------------------------------
Texas Flood
----------------------------------
Base score: 50420 (Contributing Sustain: 3520, Actual Sustain: 3678)
Four star cutoff: 100840
Five star cutoff: 151260

----------------------------------
Frankenstein
----------------------------------
Base score: 58938 (Contributing Sustain: 3238, Actual Sustain: 3310)
Four star cutoff: 117876
Five star cutoff: 176814

----------------------------------
Cowboys from Hell
----------------------------------
Base score: 85873 (Contributing Sustain: 1023, Actual Sustain: 1044)
Four star cutoff: 171746
Five star cutoff: 257619

----------------------------------
Bark at the Moon
----------------------------------
Base score: 77712 (Contributing Sustain: 8212, Actual Sustain: 8282)
Four star cutoff: 155424
Five star cutoff: 233136

----------------------------------
Fire It Up
----------------------------------
Base score: 40259 (Contributing Sustain: 4959, Actual Sustain: 5050)
Four star cutoff: 80518
Five star cutoff: 120777

----------------------------------
Cheat on the Church
----------------------------------
Base score: 59005 (Contributing Sustain: 5105, Actual Sustain: 5189)
Four star cutoff: 118010
Five star cutoff: 177015

----------------------------------
Caveman Rejoice
----------------------------------
Base score: 47494 (Contributing Sustain: 2094, Actual Sustain: 2157)
Four star cutoff: 94988
Five star cutoff: 142482

----------------------------------
Eureka, I've Found Love
----------------------------------
Base score: 40415 (Contributing Sustain: 8515, Actual Sustain: 8628)
Four star cutoff: 80830
Five star cutoff: 121245

----------------------------------
All of This
----------------------------------
Base score: 41568 (Contributing Sustain: 2718, Actual Sustain: 2734)
Four star cutoff: 83136
Five star cutoff: 124704

----------------------------------
Behind the Mask
----------------------------------
Base score: 28200 (Contributing Sustain: 800, Actual Sustain: 816)
Four star cutoff: 56400
Five star cutoff: 84600

----------------------------------
The Breaking Wheel
----------------------------------
Base score: 84172 (Contributing Sustain: 3222, Actual Sustain: 3226)
Four star cutoff: 168344
Five star cutoff: 252516

----------------------------------
Callout
----------------------------------
Base score: 49951 (Contributing Sustain: 4301, Actual Sustain: 4372)
Four star cutoff: 99902
Five star cutoff: 149853

----------------------------------
Decontrol
----------------------------------
Base score: 61782 (Contributing Sustain: 15682, Actual Sustain: 15871)
Four star cutoff: 123564
Five star cutoff: 185346

----------------------------------
Even Rats
----------------------------------
Base score: 71438 (Contributing Sustain: 8888, Actual Sustain: 8961)
Four star cutoff: 142876
Five star cutoff: 214314

----------------------------------
Farewell Myth
----------------------------------
Base score: 71438 (Contributing Sustain: 8888, Actual Sustain: 8961)
Four star cutoff: 142876
Five star cutoff: 214314

----------------------------------
Fly on the Wall
----------------------------------
Base score: 44703 (Contributing Sustain: 8403, Actual Sustain: 8480)
Four star cutoff: 89406
Five star cutoff: 134109

----------------------------------
Get Ready 2 Rokk
----------------------------------
Base score: 57338 (Contributing Sustain: 4988, Actual Sustain: 5076)
Four star cutoff: 114676
Five star cutoff: 172014

----------------------------------
Guitar Hero
----------------------------------
Base score: 59382 (Contributing Sustain: 2982, Actual Sustain: 3008)
Four star cutoff: 118764
Five star cutoff: 178146

----------------------------------
Hey
----------------------------------
Base score: 28000 (Contributing Sustain: 3950, Actual Sustain: 4013)
Four star cutoff: 56000
Five star cutoff: 84000

----------------------------------
Sail Your Ship By
----------------------------------
Base score: 51792 (Contributing Sustain: 5742, Actual Sustain: 5841)
Four star cutoff: 103584
Five star cutoff: 155376

----------------------------------
Story of My Love
----------------------------------
Base score: 51792 (Contributing Sustain: 5742, Actual Sustain: 5841)
Four star cutoff: 103584
Five star cutoff: 155376

----------------------------------
Trippolette
----------------------------------
Base score: 44911 (Contributing Sustain: 3511, Actual Sustain: 3520)
Four star cutoff: 89822
Five star cutoff: 134733

----------------------------------
Graveyard Shift
----------------------------------
Base score: 36462 (Contributing Sustain: 1762, Actual Sustain: 1786)
Four star cutoff: 72924
Five star cutoff: 109386
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Last edited by Riff on Wed Jun 14, 2006 10:29 pm; edited 2 times in total
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krimsunmunkeys  





Joined: 16 Feb 2006
Posts: 1333
Location: The Hall of the SH Council... watching... (not really)

PostPosted: Tue Jun 13, 2006 7:45 pm    Post subject: Reply with quote

Riff wrote:
Texas Flood
Base score: 50503
Four star cutoff: 101006
Five star cutoff: 151509


That sounds about right. I've gotten farther in my research, narrowing down to 151500-151509, as you said. I'll check for the 4-star you gave me for now, as I'm starting to become retarded when it comes to Texas Flood, getting two useless runs in a row.

Thanks for the help.
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krimsunmunkeys  





Joined: 16 Feb 2006
Posts: 1333
Location: The Hall of the SH Council... watching... (not really)

PostPosted: Tue Jun 13, 2006 8:20 pm    Post subject: Reply with quote

Texas Flood Expert 5-Star Cutoff Proven!



To get these approved for the Song Stats list, do I have to submit this somewhere, or will you add it JCirri?
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ES942  





Joined: 02 Mar 2006
Posts: 3445
Location: Snalbans

PostPosted: Tue Jun 13, 2006 9:50 pm    Post subject: Reply with quote

i say submit them in the song stats page and then get the contribution points.
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krimsunmunkeys  





Joined: 16 Feb 2006
Posts: 1333
Location: The Hall of the SH Council... watching... (not really)

PostPosted: Tue Jun 13, 2006 9:52 pm    Post subject: Reply with quote

ES942 wrote:
i say submit them in the song stats page and then get the contribution points.


I'm supposed to do that?

Okay.
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Riff  





Joined: 08 May 2006
Posts: 104
Location: Champaign, IL

PostPosted: Tue Jun 13, 2006 10:05 pm    Post subject: Reply with quote

Unfortunately a few of the posted estimates are incorrect. Nearly all of my estimates are dead on exact with the current proven cutoffs (including estimates for Easy, Medium and Hard which I didnt post) but three or four of them are off by 3 to 25 points in the base score. As an example, the calculated estimate for the 5-star You've Got Another Thing Coming cutoff on expert is 9 points too high. This is a 3 point error in the base score. They are so close that I don't think there is anything seriously wrong with my estimates. If you use my posted estimates as a guideline, allow for 50 points of error on the four-star cutoffs and 75 points on the five-star cutoffs.

I'm going to to try to determine the source of the error. It is probably due to either slightly-too-long notes being treated as sustains or due or possibly due to using double precision instead of floating point precision.
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