GradIEEEnt half decent: The hidden power of imprecise lines

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  • เผยแพร่เมื่อ 30 ต.ค. 2024

ความคิดเห็น • 1K

  • @HBMmaster
    @HBMmaster ปีที่แล้ว +1812

    he can't keep getting away with it

    • @PC_YouTube_Channel
      @PC_YouTube_Channel ปีที่แล้ว +195

      I think I'm supposed to say "hey it's the rhythm haven guy"? But I always think of you as the conlang guy

    • @DemonixTB
      @DemonixTB ปีที่แล้ว +20

      and yet he does

    • @32th
      @32th ปีที่แล้ว +75

      @@PC_TH-cam_Channel to me, he's the guy who taught me how floating point numbers work

    • @tom7
      @tom7  ปีที่แล้ว +374

      who's gonna stop me... FROBENIUS??

    • @ShieldStop
      @ShieldStop ปีที่แล้ว +51

      ​​@@32th jan misali and pannenkoek are better teachers than any of my professors(and tom7 but we're already here)

  • @y.og.i
    @y.og.i ปีที่แล้ว +2054

    the dopamine rush of tom 7 releasing a 55-minute video is unparalleled

    • @user-nj1qc7uc9c
      @user-nj1qc7uc9c ปีที่แล้ว +85

      the dopamine rush of tom 7 releasing a 55-minute video is serialled

    • @miweneia
      @miweneia ปีที่แล้ว +13

      its even more unparalled for me cause yesterday I craved some of his vids so I came here and rewatched a few, and he uploaded a brand new one right just after I went to bed!

    • @jumbledfox2098
      @jumbledfox2098 ปีที่แล้ว +8

      i just got a big goofy grin

    • @NithinJune
      @NithinJune ปีที่แล้ว +1

      YES

    • @w花b
      @w花b ปีที่แล้ว

      You pants are now wet and gooey aren't they.

  • @ripvanwinkle6940
    @ripvanwinkle6940 ปีที่แล้ว +148

    I saw someone describe this video as a "Terrifying perversion of computation" and I thought you'd be proud to hear that.

    • @tom7
      @tom7  ปีที่แล้ว +36

      I’ll take it!

  • @smort123
    @smort123 ปีที่แล้ว +613

    "For all practical purposes it doesn't matter."
    "What about impractical purposes?"
    Thats the spirit i love.

  • @Zebra_M
    @Zebra_M ปีที่แล้ว +2166

    Sorry to hear your professor strangled you to death, glad you got better

    • @tom7
      @tom7  ปีที่แล้ว +724

      He's still out there hoarding chaos emeralds

    • @jr637-1
      @jr637-1 ปีที่แล้ว +63

      Tom7 was secretly the beginning of Dr. Robotnik’s villain arc.

    • @treyquattro
      @treyquattro ปีที่แล้ว +38

      @@tom7 could be worse: could be chaos NFTs

    • @DamonGarfield
      @DamonGarfield ปีที่แล้ว +3

      @@tom7 🤣

    • @TtEL
      @TtEL ปีที่แล้ว

      @@treyquattro😂

  • @syncrossus
    @syncrossus ปีที่แล้ว +707

    This is so genius it looped back around to being stupid, then back to smart, then back to stupid.

    • @tom7
      @tom7  ปีที่แล้ว +455

      I should have done an odd number of loops :(

    • @ssj3gohan456
      @ssj3gohan456 ปีที่แล้ว +125

      @@tom7 You'll see from an exhaustive search of all possibilities in the design space that there is no situation where it can loop an odd number of times.

    • @ryanm.9363
      @ryanm.9363 ปีที่แล้ว +28

      ​@@tom7 honestly, this comment and the response to it were the best part of this entire video. Perfect payoff

    • @AiOinc1
      @AiOinc1 ปีที่แล้ว +2

      I smell sbemail

    • @askod420
      @askod420 ปีที่แล้ว +4

      Every suckerpinch video is like that. That's why it's so fun

  • @Kaiasky
    @Kaiasky ปีที่แล้ว +1031

    I was just waiting in utter joy for "but we can't decide which instruction to execute, so we'll just do every single one and multiply 255 of them by 0" to drop. My favorite part of shader code is 'why branch when you could multiply by 0' and this is a delightful, horrifying project.
    I'm SHOCKED it can do an entire frame in 10 seconds.

    • @MarieCrossbow
      @MarieCrossbow ปีที่แล้ว +39

      The "do all of them" reminds me of Stephen Wolfram's Ruliad 😂

    • @satibel
      @satibel ปีที่แล้ว +76

      tbh if one were to write this in shader it would probably run at over 20 fps.

    • @Ben-do1bf
      @Ben-do1bf ปีที่แล้ว +127

      My immediate reaction was "8 cores? Why only use 8 cores when you could force a poor GPU to do this for you?"
      The gpu only wants to play Monster Hunter why do we force it to do these tasks?

    • @Kavukamari
      @Kavukamari ปีที่แล้ว +77

      Suckerpinch proves Math is a hammer for destroying problems indiscriminately

    • @squelchedotter
      @squelchedotter ปีที่แล้ว +20

      This surprisingly is kind of how CPUs actually work at a hardware level

  • @willoww285
    @willoww285 ปีที่แล้ว +257

    The question was: "Okay, thanks professor, so I understand the mathematical point that the transfer function must be linear but when we implement this on a computer we’ll use some approximation of the real numbers like IEEE-754 floating point, which doesn’t have all the mathematical properties that we’re assuming here like distributivity and associativity, so doesn’t this mean that the doesn’t necessarily hold? like you could in principle have a transfer function that was “linear” but nonetheless exhibited irreducible complexity because of rounding error or things like that, or in principle transfer functions based on values outside of the reals, like NaN and Inf? Plus what about -0? Actually are linear operations even differentiable because when you think about it, they all take discrete
    steps so it’s really …"
    (for those of you who don't want to go frame by frame through it, as I have)

    • @ihrbekommtmeinenrichtigennamen
      @ihrbekommtmeinenrichtigennamen ปีที่แล้ว +36

      Raptor Pro Tip: You can use the comma and dot keys on the keyboard for stepping through videos frame-by-frame.

    • @efkastner
      @efkastner ปีที่แล้ว +25

      one of the most glaring omissions in the mobile apps :(

  • @isaaclinn2954
    @isaaclinn2954 ปีที่แล้ว +773

    The hardest I ever worked in college was when my professor told me that something wasn't possible. The pure spite powered me through. It's an amazing force for sure

    • @OscarSommerbo
      @OscarSommerbo ปีที่แล้ว +149

      Like when my computer teacher insisted that "crashing the stack WILL harm the computer". I wrote a simple asm snippet that locked up the PC but left it unharmed in 10 minutes (It was intro to ASM). That teacher hated me and excused me from the entire module with top marks, muttering "I have nothing to teach this wiseass"

    • @float32
      @float32 ปีที่แล้ว +4

      Well, was it possible? Or was he right?

    • @smiley_1000
      @smiley_1000 ปีที่แล้ว +83

      ​@@OscarSommerbo And then everybody clapped

    • @freshtauwaka7958
      @freshtauwaka7958 ปีที่แล้ว +12

      @@OscarSommerbo what did he even mean by "harm"?

    • @benjaminmiller3620
      @benjaminmiller3620 ปีที่แล้ว +73

      Haha! Had similar: ASM class. Assignment is to write a simple machine code program to accomplish a task, but he would award an extra mark for programs close enough in size (I forget how many bytes), to his own reference program. I got mine 6 bytes smaller than his.

  • @lysikasaito
    @lysikasaito ปีที่แล้ว +476

    "The Mandlebrot Set is the Radiohead of Fractals" I did a real spit-take all over my computer and am typing this as the water seeps in. Wish my computer a swell retreat into the afterlife.

    • @tom7
      @tom7  ปีที่แล้ว +288

      If you don't water the computer, how will it grow?

    • @Jay_Tau
      @Jay_Tau ปีที่แล้ว +12

      The battery will probably swell!

    • @NoNameAtAll2
      @NoNameAtAll2 ปีที่แล้ว +5

      what's radiohead?

    • @rehorizon
      @rehorizon ปีที่แล้ว +39

      @@NoNameAtAll2 nothing much, hbu?

    • @lysikasaito
      @lysikasaito ปีที่แล้ว +4

      @@tom7 I thought we were trying to avoid unfettered computer growth!

  • @empty5013
    @empty5013 ปีที่แล้ว +376

    I really love being a bit lost on a new concept for a minute or so, then touching base with a concept I am familiar with, only to see Tom totally abusing and doing evil things to the 5% of the greater whole I understand.
    Really keeps me reassured that despite the calm demeanour and pretty diagrams, even the parts I don't understand are pure evil and crimes against numbers.

    • @tom7
      @tom7  ปีที่แล้ว +150

      Technically, numbers could sue me in civil court, but it is not a crime.

    • @DuringDark
      @DuringDark ปีที่แล้ว +17

      misdemeanors against numbers, maybe disorderly conduct?

    • @ts4gv
      @ts4gv ปีที่แล้ว +7

      @@DuringDark disorderly conducts a good one lol

    • @JuDGe3690
      @JuDGe3690 4 หลายเดือนก่อน

      ​@@ts4gvAdd intentional infliction of numerical distress to the list.

  • @PC_YouTube_Channel
    @PC_YouTube_Channel ปีที่แล้ว +246

    When Apr 1 came and went, I went through the five stages of grief over the lack of a Tom7 upload.
    Then the madlad uploads on May 1.

    • @tom7
      @tom7  ปีที่แล้ว +223

      Happy May Fool's Day!

    • @lifthras11r
      @lifthras11r ปีที่แล้ว +44

      @@tom7 Mayday! Mayday!

    • @Vaaaaadim
      @Vaaaaadim ปีที่แล้ว +18

      It's the out of season April Fool's upload.

    • @Dong_Harvey
      @Dong_Harvey ปีที่แล้ว +1

      That was the Tax joke

  • @adsilcott
    @adsilcott ปีที่แล้ว +133

    I've had a beef with the way epsilon is used in programming for a while, so I was already laughing when you started complaining about it, then lost it when you revealed that you wrote a whole paper on the topic. The paper was delightful, as usual, and now I have something to send to people who I have petty internet arguments with -- oh sweet vindication!

    • @tom7
      @tom7  ปีที่แล้ว +55

      That's what I call pedantry teamwork!

  • @Wyatt_James
    @Wyatt_James ปีที่แล้ว +579

    This feels like a victory lap of many prior Tom7 videos. Congrats!
    Now it's time to train an AI model to approximate the NES CPU, no?

    • @bigprovola
      @bigprovola ปีที่แล้ว +28

      The Tom VII cinematic universe is real 🤯

    • @pafnutiytheartist
      @pafnutiytheartist ปีที่แล้ว +6

      I'd start with Atari 2600, it has a tiny amount of RAM, should be easier

    • @evanbarnes9984
      @evanbarnes9984 ปีที่แล้ว +3

      ​@@pafnutiytheartist I can't believe anyone managed to make working games for the 2600, it's such little RAM!

    • @vurpo7080
      @vurpo7080 ปีที่แล้ว +3

      @@evanbarnes9984 The differencw between then and now is that back then, all your code, graphics, sound and everything was in ROM on the cartridge. RAM would _only_ be used to store the changing state of the game, like player and object positions, score, and such. So if you imagine a game where you just have a player, a few non player characters, maybe an object or two, you might find that it just takes a few bytes to keep track of the state!

    • @kargaroc386
      @kargaroc386 ปีที่แล้ว +6

      Atari 2600 is tiny, but the code in atari 2600 games is so precisely written that if you sneeze on it it breaks completely.
      The 2600 had CPU-drive graphics. And I don't mean like the ZX80 where games would write to VRAM at their leisure, and then later on the CPU would push those VRAM bits out to the screen - the 2600 doesn't have enough RAM for that.
      No, I mean that, when it came time to draw the screen to the TV, a 2600 game would *use game logic to render a scanline of graphics in real-time as the beam crosses the screen.*
      It would do this for every scanline. It would use most of the CPU's time (leaving the vblank period for higher level game logic, a reversal of the typical arrangement), and if code wasn't tuned perfectly it would completely break. There wasn't enough RAM to do anything else, nothing ever did anything like that ever again, and its one of the craziest ways to render a game ever conceived.
      Meanwhile, anybody who's watched a Vinny corruption stream knows how much you can break an NES game and still have it keep on going.

  • @AlphaPhoenixChannel
    @AlphaPhoenixChannel ปีที่แล้ว +103

    literal spit-take at "maybe we should do this on the computer." - although I started to follow it a bit less at the computer implementation, I enjoyed every second

    • @kyay10
      @kyay10 ปีที่แล้ว +12

      I wish to see you getting nerd-sniped by this and somehow do floating point maths with analogue waves or something, maybe even build a whole (super basic) computer using the weird differentiator and integrator components.
      As a starting seed, note that you can get ln through integrating 1/x, and through ln you can get abs(x), and through that you can practically make arbitrary circuit.
      Don't know how useful or practical this is, but hey, maybe you end up discovering something video-worthy.
      I have some more ideas btw, mainly stemming from trying to (ab)use Desmos to define Boolean algebra and, hence, to create functions for equality and less than etc so that I'm able to define piecewise functions without any piecewise notation. I'd share a link to that here but TH-cam is fussy about links.

    • @efkastner
      @efkastner ปีที่แล้ว +4

      @AlphaPhoenixChannel I’m so delighted to see you here. The venn diagram between your content and Tom VII’s is the best of all

    • @hadinossanosam4459
      @hadinossanosam4459 ปีที่แล้ว +1

      @@kyay10 Side note: you don't need to integrate 1/x (analog integrators sorta suck), a BJT's transfer functions gives you exponentials (and logarithms via negative feedback). That's actually a somewhat standard trick, e.g. to get root-mean-square averages in an analog way. Analog computers were/are a thing, just that noise+imprecision limits the amount of stages you can cascade, and therefore the amount of cool stuff you can practically do
      And getting piecewise linear functions is pretty easy with step(x) = abs(x)/x ;) Used tricks like this to write text as graphs of functions on my calculator in boring math classes, the fun part is getting two lines above each other (interleaved with sign(sin(N * x)) or so)

    • @AlphaPhoenixChannel
      @AlphaPhoenixChannel ปีที่แล้ว +6

      @@efkastner I feel really smart when I understand the multitude of jokes in a video on this channel =D This one had me in stitches until the last act when I could tell he was over my head. I sent this video to multiple people before I was done watching it. Tom, if there's ever a brilliantly impractical project you need something built IRL for, hit me up - I know I can't compete on the code side ;)

    • @thomascole2933
      @thomascole2933 ปีที่แล้ว

      @@AlphaPhoenixChannel An AlphaPheonix and tom7 collab video would be the pinnacle of my life. It would all be downhill from there no doubt.

  • @alexmueller7864
    @alexmueller7864 ปีที่แล้ว +382

    Tom, you are my hero. I am inspired by your tenacity in pursuing problems simply for the heck of it. Watching your videos makes me want to write math papers about equally ridiculous topics.

    • @tom7
      @tom7  ปีที่แล้ว +169

      Thanks! You should do it!

  • @RobertMilesAI
    @RobertMilesAI ปีที่แล้ว +15

    Because I know you appreciate pedantry (and maybe this was deliberate), the phrase "in cold blood" means the crime was done in a calm/systematic/premeditated way. The murderer was cool and/or chill at the time. Getting so frustrated that you snap and strangle a student is definitely a murder in hot blood, not cold

    • @FelixHdez
      @FelixHdez ปีที่แล้ว +4

      If I were suckerpinch I'd hide this comment

    • @tom7
      @tom7  ปีที่แล้ว +19

      It's because my professor was a reptilian

  • @timmydoza
    @timmydoza ปีที่แล้ว +194

    Fun fact about the newest version of Stockfish (15.1) - it no longer uses pawn values in the evaluation. From the changelog:
    "An evaluation of +1 is now no longer tied to the value of one pawn, but to the likelihood of winning the game. With a +1 evaluation, Stockfish has now a 50% chance of winning the game against an equally strong opponent. This convention scales down evaluations a bit compared to Stockfish 15 and allows for consistent evaluations in the future."

    • @efkastner
      @efkastner ปีที่แล้ว +35

      Kind of like the gold standard

    • @stdcall
      @stdcall ปีที่แล้ว +32

      inb4 keynesian pointnomics

    • @tom7
      @tom7  ปีที่แล้ว +60

      Whoa!

    • @ts4gv
      @ts4gv ปีที่แล้ว

      @@efkastner haha

  • @phrygianphreak4428
    @phrygianphreak4428 ปีที่แล้ว +6

    This video reminded me of something learned, but have since forgotten, during my time in the CS dept:
    Never stop listening when the PhD is talking. If you do, even for a minute, you will be completely lost.

  • @patroka
    @patroka ปีที่แล้ว +132

    *Raises hand* Actually, technically, we didn’t murder you in cold blood. Rather, we murdered you in pretty hot blood.

  • @0oh_no
    @0oh_no ปีที่แล้ว +238

    I haven't understood anything for the past hour but i have never enjoyed something more

    • @tom7
      @tom7  ปีที่แล้ว +142

      I'm okay with this

    • @SianaGearz
      @SianaGearz ปีที่แล้ว +59

      I understood almost everything.
      I envy you. I'm in SO MUCH PAIN.

    • @tom7
      @tom7  ปีที่แล้ว +60

      @@SianaGearz I'm also okay with this

    • @SedoKai
      @SedoKai ปีที่แล้ว +11

      Tom's videos are awesome because the more you understand them, the more unreasonable they become.
      This is difficult to accomplish in practice, but when done correctly the entertainment value increases exponentially.

    • @hrishikeshaggrawal
      @hrishikeshaggrawal 8 หลายเดือนก่อน

      gahahaha

  • @coarse_snad
    @coarse_snad ปีที่แล้ว +98

    I cannot even describe the positive impact these videos provide throughout the years. Every april i am enlightened with suboptimal solutions to problems noone has.

    • @siarez
      @siarez ปีที่แล้ว +6

      " suboptimal solutions to problems noone has." hahaha

  • @YouReyKarr
    @YouReyKarr ปีที่แล้ว +79

    I love that I feel I understand the individual steps he's taking and the results, but I never understand what the premise of the video actually is. Yet still some of my favourite content on TH-cam

    • @SianaGearz
      @SianaGearz ปีที่แล้ว +22

      The premise is to make something impractical by abusing the inherent non-linearity of floating point hardware to perform operations that fundamentally shouldn't work.

    • @YouReyKarr
      @YouReyKarr ปีที่แล้ว +15

      @@SianaGearz It was rhetorical, but thanks

  • @gameofpj3286
    @gameofpj3286 ปีที่แล้ว +60

    The running every instruction on copies of the state and then only keeping the right one is definitely reminiscent of quantum bogo sort :D

  • @TheAqissiaq
    @TheAqissiaq ปีที่แล้ว +39

    I was actually just at an academic conference where a similar problem was discussed! (The paper is Model Checking Linear Dynamical Systems under Floating-point Rounding at TACAS 2023)
    The authors want to verify certain linear programs, but find that with rounding it is undecidable for the same reasons as Tom: They can construct a computer. Their computer is a Turing machine, which I think we can all agree is much simpler than the NES, but it's the same idea.
    They go on to show that restricting the programs to non-negative coefficients makes the problem decidable again, because it forces the behavior to be somehow periodic.

  • @something-from-elsewhere
    @something-from-elsewhere ปีที่แล้ว +33

    Love your videos.
    They're just far enough outside my knowledge base I have to stretch my brain to understand what's going on. But when I figure it out it always is delivered with something approximating comedic timing, and I squeal with mischievous delight.

    • @tom7
      @tom7  ปีที่แล้ว +19

      That's pretty much what I'm going for, so thank you! :)

  • @adora_was_taken
    @adora_was_taken ปีที่แล้ว +51

    tom7's professor was dr robotnik vii and i think that explains a lot

    • @tom7
      @tom7  ปีที่แล้ว +38

      Right after he killed me he took my chaos emeralds right out of my backpack :(

    • @snoozbuster
      @snoozbuster ปีที่แล้ว +18

      "I miss my wife, Tom"

  • @Snort70
    @Snort70 ปีที่แล้ว +29

    "We want it to be able things that are complicated like XOR or human thought"
    Idk why this made me spit out my water laughing

  • @lepi9577
    @lepi9577 ปีที่แล้ว +242

    Just incredible stuff. Absolutely heretical behavior

    • @tom7
      @tom7  ปีที่แล้ว +114

      That's why we call it the Association for Computational Heresy!

    • @_fudgepop01
      @_fudgepop01 ปีที่แล้ว +6

      @@tom7the acronym is equivalent the sound I make when watching these amazing videos and getting my mind blown - ACH!!

  • @snoozbuster
    @snoozbuster ปีที่แล้ว +29

    The floating point errors used here remind me of another April fool's research piece, pannenkoek2012's "How to Crash SM64 using a pendulum". An excellent watch as well!

    • @a1aaaaaaaaaaaaaa-r6t
      @a1aaaaaaaaaaaaaa-r6t ปีที่แล้ว +7

      Yeah that was a pretty interesting coincidence, I doubt they were aware each other's videos were in production simultaneously.

  • @OrangeC7
    @OrangeC7 ปีที่แล้ว +6

    Someday, you're going to say "This is ill-advised, but nobody is stopping me," and you're going to crash the simulation. I can feel it

  • @Kaiasky
    @Kaiasky ปีที่แล้ว +68

    So, one theoretical result of this is that, pretending we're working with reals for a second, you could multiply all of these linear operations out into one single matrix, right. Obviously, multiplying by the matrix does absolutely nothing, but It'd be kinda fun to see what the "NES emulator state transition matrix" ends up looking like.

    • @stanleydodds9
      @stanleydodds9 ปีที่แล้ว +15

      I would guess that a lot of the operations will turn out to just be the zero function, or just some small constant, because a lot of the time we are trying to eliminate everything except for the error (in order to magnify it and use it). But by doing that with precise linear operations, everything would exactly cancel out. It's hard to know if this would eventually result in the overall matrix being the zero matrix, or just some very degenerate matrix, or maybe I'm completely wrong in assuming this at all.

    • @Kaiasky
      @Kaiasky ปีที่แล้ว +6

      @@stanleydodds9 Yeah, I'm guessing that the instruction selector manages this, because it's zero-everywhere disregarding floating point error

  • @bassguitarbill
    @bassguitarbill ปีที่แล้ว +23

    The 3d Mandelbrot set had me ugly laughing, this video is magnificent

    • @lancesmith8298
      @lancesmith8298 4 หลายเดือนก่อน +2

      The true majesty of it didn’t dawn on me until today, when I actually paid attention to the zoom-in. On top of being a cursed artifact to render, it’s also inexplicably made up of beans

  • @lunafoxfire
    @lunafoxfire ปีที่แล้ว +7

    Oh god I haven't watched the video yet but I can only imagine the roller coaster I'm about to embark on based on the title alone...

    • @lunafoxfire
      @lunafoxfire ปีที่แล้ว +4

      40:11 omg I literally yelled "noooooo!" in the most pained voice at this part lmao. Pretty sure I scared my cat.

  • @snowleopard9749
    @snowleopard9749 ปีที่แล้ว +7

    I admire your persistence to replicate important results, but worse.

  • @WangleLine
    @WangleLine ปีที่แล้ว +24

    this really descends my gradients

  • @silverymoonthing
    @silverymoonthing ปีที่แล้ว +5

    the phrase "I like to work at the intersection of theory and impractice and practice and entertainment" is my new life slogan, thank you

  • @yoyoyonono
    @yoyoyonono ปีที่แล้ว +28

    Always looking forward to the yearly sigbovik video. I'm honored to be published alongside you in this year's conference.

    • @efkastner
      @efkastner ปีที่แล้ว +1

      wow congrats! what was yours?

    • @yoyoyonono
      @yoyoyonono ปีที่แล้ว +3

      @@efkastner VOACaloid, the first paper in track M

    • @efkastner
      @efkastner ปีที่แล้ว +1

      @@yoyoyonono haha well the Abstract has me hooked, can’t wait to read it later :)

    • @yoyoyonono
      @yoyoyonono ปีที่แล้ว

      @@efkastner thank you!!

    • @tom7
      @tom7  ปีที่แล้ว +6

      Thank you for not trying to predict the future!

  • @Celastrous
    @Celastrous ปีที่แล้ว +8

    "The Mandelbrot set is the Radiohead of fractals"
    I.. uh... Ok, sure.

  • @jukmifggugghposer
    @jukmifggugghposer ปีที่แล้ว +8

    The pure joy I felt when you pulled up that chess matchup chart...

  • @Ben-do1bf
    @Ben-do1bf ปีที่แล้ว +42

    I had the realization yesterday "Wait, April 1st and SIGBOVIK passed without a new tom7 video", and checked the channel to confirm my fears, so I guess I willed this into existence you're welcome.

    • @NoNameAtAll2
      @NoNameAtAll2 ปีที่แล้ว +2

      what's sigbovik?

    • @screwaccountnames
      @screwaccountnames ปีที่แล้ว +8

      @@NoNameAtAll2It‘s a non-serious mathematical conference, happening every April 1st.

    • @kaitlyn__L
      @kaitlyn__L ปีที่แล้ว +3

      @@screwaccountnames well, it’s serious maths, just used in silly ways ;)

    • @Ben-do1bf
      @Ben-do1bf ปีที่แล้ว +3

      @@kaitlyn__L Oh plenty of people find ways to write whole papers on things that are purely non-serious. It makes finding the ones with serious math for pointless reasons that much more worth it.

    • @kaitlyn__L
      @kaitlyn__L ปีที่แล้ว +2

      @@Ben-do1bf exactly! :D

  • @skylerlehmkuhl135
    @skylerlehmkuhl135 ปีที่แล้ว +5

    Making complex machines out of slight differences in behavior is very reminiscent of how computers themselves work, with small differences between electron propagation in various silicon impurities being combined in complex ways to produce integrated circuits.

  • @masscreationbroadcasts
    @masscreationbroadcasts ปีที่แล้ว +13

    40:33 "Wait, did I already write this paper? Damn it!"
    Comedy gold right there.

  • @eragonawesome
    @eragonawesome 10 หลายเดือนก่อน +5

    "Yes it won't work, but we can just do it!"
    Brilliance

  • @DemonixTB
    @DemonixTB ปีที่แล้ว +11

    I've read the paper as soon as you published it and I could not wait for you to upload the video, it feels like a culmination of so many other projects and it's such a perfect tom7 video.

    • @tom7
      @tom7  ปีที่แล้ว +6

      Great! There should be many crazy computers in the world. :) Send it to SIGBOVIK!

  • @AntiVectorTV
    @AntiVectorTV ปีที่แล้ว +8

    I was impressed when you managed to turn these algorithms (heuristics?) into a silly way to play bad chess _again,_ and I was doubly impressed by how they actually managed to outperform most of the ones you made for that video!

  • @evanbarnes9984
    @evanbarnes9984 ปีที่แล้ว +34

    I actually had no idea how to compare floats or doubles and really needed that for a recent project, so I'm already lost down a rabbit hole having paused the video 8:00 minutes in. (Programming is just a hobby for me). Exactly what I love about your videos!
    Edit: 25 minutes in, and the baffling numbers are awesome as an ex math teacher! The Bafflebrot is great

    • @jamesflames6987
      @jamesflames6987 ปีที่แล้ว +16

      FOR GOD'S SAKE DO NOT USE THESE TECHNIQUES IF YOU ARE LEARNING PROGRAMMING.

    • @limyongchin1
      @limyongchin1 ปีที่แล้ว +3

      @@jamesflames6987 I love how there's an actual need for an actual disclaimer

    • @chainingsolid
      @chainingsolid ปีที่แล้ว +3

      What you do for comparing will depend on your specific problem. Most cases = < > work fine and == has, well gotchas

    • @jamesflames6987
      @jamesflames6987 ปีที่แล้ว +4

      @@chainingsolid

    • @evanbarnes9984
      @evanbarnes9984 ปีที่แล้ว

      ​​@@jamesflames6987 don't worry, I was already fully aware of the problems of floating point math in programming, and had solved that previous problem by going down a really convoluted path with integer math. I'm not doing stuff with money or anything super critical though, I'm slowly trying to make my own paragliding flight instrument, which means figuring out sensor fusion with a 9-axis IMU, GPS, barometer, thermometer, and eventually a Pitot tube for airspeed. Because I want to learn how it all works, I'm trying to do it all from scratch, writing my own Kalman filters or whichever type I go with, for example. There will be regions of this project where making somewhat fuzzy comparisons of floating point numbers will be useful and sufficiently accurate. That's an excellent warning for people who aren't aware of the pitfalls of float math, though!

  • @AntiVectorTV
    @AntiVectorTV ปีที่แล้ว +14

    "Cryptography = fractals - drugs"
    I love the way your brain works.

  • @vanderkarl3927
    @vanderkarl3927 ปีที่แล้ว +4

    I can't believe it. He brought together like, the majority of his previous video-documented projects into one amazing piece of impracticality. Glorious.

  • @Ikkepop
    @Ikkepop 6 หลายเดือนก่อน +2

    You are one of the few youtubers who's videos just tickles me pink. I adore how far you go to make technology do stupid impractical things.

    • @tom7
      @tom7  6 หลายเดือนก่อน +2

      Thanks! That’s the suckerpink brand promise!

  • @AngryArmadillo
    @AngryArmadillo ปีที่แล้ว +17

    Enjoyed seeing you present at SIGBOVIK this year. You come up with the craziest stuff :)

    • @tom7
      @tom7  ปีที่แล้ว +6

      I'm glad! That was a very last-minute presentation!

  • @MM-cz8zt
    @MM-cz8zt ปีที่แล้ว +3

    Wow! I've been in this field for over a decade. I did my graduate research in Applied ML. I've been to countless lectures and discussions on the topic... and this has to be one of my new favorite discussions of all time. What a masterful expose. Thank you for this!

  • @jimhrelb2135
    @jimhrelb2135 ปีที่แล้ว +4

    In the world full of distractions, you have managed to capture my attention for the full video. What a feeling I’ve not felt for quite a while. Take my video of the year award.

  • @devjock
    @devjock ปีที่แล้ว +53

    The only person that can make both computer scientists and computer science teachers reee into high supersonic range. They only harmonise when Tom's not in the room.

  • @Templarfreak
    @Templarfreak ปีที่แล้ว +6

    there's a _lot_ of good qoutes in this one. here are some of my favorite:
    "and if i scroll all the way to the bottom, i can see that my results are in fact the worst results of all time. aw well that's not _too_ bad."
    "my professor was wrong, you in fact CAN do this as long as you dont need it to be good or fast."
    "and basically it's the same as before but more careful about intermediate computations so that it doesnt touch infinity by accident."

  • @jamesflames6987
    @jamesflames6987 ปีที่แล้ว +1

    The algorithm sent me here because you said the word "vaporwave" and I'm so happy it did.

  • @clashblaster
    @clashblaster ปีที่แล้ว +6

    "the Mandelbrot set is the Radiohead of fractals" wiser words have never been spoken

    • @RobertMilesAI
      @RobertMilesAI ปีที่แล้ว

      I like that absolutely no elaboration or justification of that statement was given or in fact needed

  • @iconi1355
    @iconi1355 ปีที่แล้ว +1

    I watched an answers in progress video before this about how the youtube algorithm works and how sidecart recommendations are made to uphold a certain vibe. It was hugely nerdy, far from reality and very satisfying. The sidecart recommendations appear to be working

  • @jlco
    @jlco ปีที่แล้ว +10

    I _aspire_ to understand even half of this video. I can only assume that this man's name is where the word "tomfoolery" comes from.

  • @TankorSmash
    @TankorSmash ปีที่แล้ว +9

    Oh man, the procrastination tax comment really speaks to my soul man. Super interesting video!

  • @alengm
    @alengm ปีที่แล้ว +5

    "He's like howtobasic but smarter" - a friend when I showed him one of your videos

  • @lucythebrazen
    @lucythebrazen ปีที่แล้ว +3

    You are one of the most insane people I "regularly" watch, and I mean this in the most endearing, loving way imaginable ♥

  • @janberentsen9890
    @janberentsen9890 ปีที่แล้ว +4

    You know that saying "If you can't dazzle someone with your brilliance, baffle them with your bullshit"?
    This is both.

  • @keiyakins
    @keiyakins ปีที่แล้ว +31

    that gag of mimicking the Practical Engineering intro got a genuine laugh outa me

    • @1224chrisng
      @1224chrisng ปีที่แล้ว +6

      too much concrete and acrylic, not enough hello fresh, 3/5 stars

  • @MrPopeZilla
    @MrPopeZilla ปีที่แล้ว +5

    I can already be sure this will be my favorite video of the year.

  • @Charlieee1
    @Charlieee1 11 หลายเดือนก่อน +1

    I'm impressed by the amount of skill you have to present a complicated topic I don't understand (past the 10 minute mark), and make me enjoy an almost hour-long video, which I normally don't enjoy watching.

  • @duncathan_salt
    @duncathan_salt ปีที่แล้ว +6

    mr. 7, one day i am going to create a computer as ridiculous as one of yours. you're a true inspiration, and in fact your printable C project encountered many of the same problems as my planned project will. one day i hope i can show you

    • @tom7
      @tom7  ปีที่แล้ว +6

      Happy to hear I could inspire you! The world needs more crazy computers. Consider sending it to SIGBOVIK when you're ready :)

  • @vitorfray
    @vitorfray ปีที่แล้ว +215

    Is it normal to feel like a complete illiterate while watching this? That math is out of this world, and yet he explains it like it's trivial stuff!

    • @catmacopter8545
      @catmacopter8545 ปีที่แล้ว +20

      he took neural nets in college and so on and so forth

    • @soranuareane
      @soranuareane ปีที่แล้ว +59

      I've been doing computer science for longer than I care to admit. I teach (privately), I write a ton of code, I love zany nonsense, and that's just the tip of the iceberg.
      I, too, had difficulty understanding this (and I teach the damn stuff!)

    • @satibel
      @satibel ปีที่แล้ว

      it's not regular bullshit, it's advanced bullshit.

    • @Reptonious
      @Reptonious ปีที่แล้ว +12

      I never know with this channel, as a tech illiterate, if something will be made with me in mind. And worse yet it usually won't be clear until halfway through. Genuine criticism of the format.

    • @samuelthecamel
      @samuelthecamel ปีที่แล้ว +23

      He probably wanted to explain it more thoroughly but couldn't because the video would be over 2 hours

  • @MrJord137
    @MrJord137 9 หลายเดือนก่อน +3

    Desperately awaiting the next Tom7 video

  • @ave14401
    @ave14401 ปีที่แล้ว +1

    This has to be the best intersection of intelligence and creativity I’ve ever found on TH-cam

  • @andriypredmyrskyy7791
    @andriypredmyrskyy7791 ปีที่แล้ว +4

    I can't believe there's YET ANOTHER entry in the extended chess AI cinematic universe!

  • @Verrisin
    @Verrisin ปีที่แล้ว +2

    This man will escape the matrix one day ...
    "Given the microscopic rounding errors in quantum mechanics, I have found a way to ..."

    • @3lH4ck3rC0mf0r7
      @3lH4ck3rC0mf0r7 3 หลายเดือนก่อน +1

      "I caught a sandbox escape in real life."

  • @55jeb
    @55jeb ปีที่แล้ว +37

    Christmas has come early this year. Tom7 videos are the best on TH-cam: theatrics and fun concepts!

  • @heitortremor
    @heitortremor ปีที่แล้ว +65

    New suckerpiiiiiinch!!!

    • @binaryrainbows
      @binaryrainbows ปีที่แล้ว +4

      new suckerpinch!!!!!

    • @TheCrewExpendable
      @TheCrewExpendable ปีที่แล้ว +2

      Just now realizing it’s Suckerpinch and not Suckerpunch.

    • @LeoStaley
      @LeoStaley ปีที่แล้ว +2

      Let's gooooo!!

    • @ts4gv
      @ts4gv ปีที่แล้ว +3

      nnneeeewwww suuuccckkerpinnnnchhhh
      in a wrestlemania announcer voice

    • @organicwaste
      @organicwaste ปีที่แล้ว +3

      (distributing cold ones to the cheering crowd)

  • @RikerLovesWorf
    @RikerLovesWorf ปีที่แล้ว +1

    I was just thinking about your channel yesterday randomly, and how I always look forward to your videos.

  • @JoBoToGo
    @JoBoToGo ปีที่แล้ว +4

    You always make my brain hurt in the best possible way exactly like a hangover doesn't

  • @jacefairis1289
    @jacefairis1289 ปีที่แล้ว +1

    the surreality of these videos really just washes over me as i watch them, like lying down on an alien beach as the tide comes in

  • @chasebrower7816
    @chasebrower7816 ปีที่แล้ว +3

    Always my favorite math/compsci videos. Highly informative but extremely fun to watch from start to finish.

  • @VaterOrlaag
    @VaterOrlaag ปีที่แล้ว +3

    Technically correct is the best kind of correct!

  • @sorenwestrey4925
    @sorenwestrey4925 ปีที่แล้ว +7

    Loved seeing this presented at SIGBOVIK this year!

  • @overlisted
    @overlisted ปีที่แล้ว +1

    One day Tom VII will accidentally invent something revolutionary and never show it to us because it's not silly enough

  • @regularsalamander
    @regularsalamander ปีที่แล้ว +17

    TWO VIDEOS IN THE SAME YEAR?

    • @tom7
      @tom7  ปีที่แล้ว +5

      I'm not sure! I didn't get much sleep last night!

    • @a1aaaaaaaaaaaaaa-r6t
      @a1aaaaaaaaaaaaaa-r6t ปีที่แล้ว

      ​@@tom7 Get some rest! You deserve it

  • @noel.friedrich
    @noel.friedrich ปีที่แล้ว +1

    unironically, this channel actually makes me want to learn this stuff in depth. thanks!

  • @Finnnicus
    @Finnnicus ปีที่แล้ว +3

    the mandelbrot set truly is the radiohead of fractals

  • @karmasource
    @karmasource ปีที่แล้ว +1

    This has been in my recommended since release, and I have thwarted the idea of watching it because this seemed like some tangential, niche topic that would have no real-world applications (I was correct), but it was still well-produced and equally funny and intriguing. You deserve a like, begrudgingly.

  • @Addoagrucu
    @Addoagrucu ปีที่แล้ว +4

    tom i haven't watched it yet but i'm excited for the technical chicanery you have in store for us this time

  • @zombieassaultman
    @zombieassaultman ปีที่แล้ว +2

    I swear, Tom could talk about literally anything at length and I would still be there every time. Great video as always.

  • @Scum42
    @Scum42 ปีที่แล้ว +7

    You are such an inspiration because you are living proof that there is no excuse for acting haughty and superior no matter how overwhelmingly intelligent or talented you are. You prove that there is no limit on intelligence where humor dies by turning incredibly stupid things into anything you desire, just because it's silly and fun.
    Thank you, Tom!

  • @I0NE007
    @I0NE007 ปีที่แล้ว +1

    Nearly every video that comes out, I need to re-watch at least one time (sometimes as high as 3 times)... this feels like the most re-watch necessary one so far, by a long shot.

  • @jobjitdip6161
    @jobjitdip6161 ปีที่แล้ว +4

    Don't let anyone strangle you ever again, please! You need to be protected at all costs!

  • @noseman123
    @noseman123 ปีที่แล้ว

    I watched all 55 minutes of this, and did not understand even one second of it.
    It *did* get me to binge my favorite Tom7 videos, as is tradition for all Tom7 uploads, so the upload was most welcome indeed.

  • @adamwulf
    @adamwulf ปีที่แล้ว +6

    Lovely work! And enjoyed the practical engineering shoutout

    • @krallja
      @krallja ปีที่แล้ว

      Practical Engineering has gone significantly downhill over the years.
      …In terms of number of googly eyes applied to demonstration models.
      Tom7 should have used more googly eyes too, for that matter.

  • @miinyoo
    @miinyoo ปีที่แล้ว +1

    I did not expect this. What a fun way to play with abstractions. The fact that it works is a bonus.

  • @wrong1029
    @wrong1029 ปีที่แล้ว +17

    the AI art really adds to the comedic effect, love it

    • @Fynmorphover
      @Fynmorphover ปีที่แล้ว +2

      I would have thought it would have been controversial by some people

    • @timmccormack3930
      @timmccormack3930 ปีที่แล้ว +4

      Agreed. This is the first time I've seen AI art used well. This is what it's *for*.

    • @EggBastion
      @EggBastion ปีที่แล้ว +4

      28:16 HACERR / ACCESS GRANTED
      37:12 plain crash / ACCESS GLARDED
      46:39 hands holding hands

  • @whatr0
    @whatr0 5 หลายเดือนก่อน +1

    so many incredible quotes from this video but "the mandelbrot set is the radiohead of fractals" may be one of your best

  • @CKomni
    @CKomni ปีที่แล้ว +28

    If I had professors like you in 2009, I might have actually been excited about computer science at a crucial time in my life. Instead I got a professor stuck in 1973 and a class full of the worst examples for self actualization and independence in what should have been the hot spot for the tech boom. I lost like 5 years to people like your professor

    • @mikedrop4421
      @mikedrop4421 ปีที่แล้ว

      His passion for Pascal didn't do it for ya huh?

  • @trenchmarian
    @trenchmarian 11 หลายเดือนก่อน

    this is such a good channel , i’m not sure what this channel even is but it consistently exceeds any expectations

  • @rayflyers
    @rayflyers ปีที่แล้ว +4

    RIP, Tom 7. ...20 years ago, apparently. 😢

  • @crckrbrrs
    @crckrbrrs ปีที่แล้ว +1

    your videos are a beacon of information, entertainment and above all, impracticality. thank you for everything that you do.

  • @johanngambolputty5351
    @johanngambolputty5351 ปีที่แล้ว +3

    Should we use linear or non-linear functions?
    Tom: Yes