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AlphaZero vs Stockfish Chess Match: Game 5 

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AlphaZero plays like Mikhail Tal in this amazing game that's so unlike computer chess as we know it! With a complete disregard for material, AlphaZero attacks Stockfish. IM Danny Rensch comments.
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3 окт 2024

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Комментарии : 310   
@markritchie8874
@markritchie8874 6 лет назад
Awesome commentary, thanks Danny.
@muuubiee
@muuubiee 3 года назад
On the contrary. he's just talking without giving any insight. He could've just talked about puppies for all I care, absolutely worthless commentary. Try to at least teach viewers something, instead of commenting as if we were watching nascars or something totally braindead.
@Figgy20000
@Figgy20000 6 лет назад
I mean, even if a human got Stockfish into that endgame, There was absolutely no way a human would have won that. I think there isn't enough emphasis over how well that endgame was compared to how well Alpha0 got there.
@SimA-pe1br
@SimA-pe1br 6 лет назад
Awesome analysis. Keep em coming danny!!
@northshores7319
@northshores7319 6 лет назад
AlphaZero reminds me of Morphy, Fischer and Kasparov. They were all King Hunters with an eye on any move that will limit the defense allowing for tactical kill shots. Excellent job on this series of computer games.
@liorberman7240
@liorberman7240 6 лет назад
Danny is actually an amazing commentator when he leaves all his funny business aside. More of this please!
@jamorrison82
@jamorrison82 6 лет назад
Awesome instructive video. Thanks Danny! I'm really enjoying this series. It is such a pleasure to see a computer play like one of the greats.
@nalindas9872
@nalindas9872 6 лет назад
Fantastic commentary ... Daniel you really make the games even more interesting
@zombiefireman
@zombiefireman 6 лет назад
Excellent recap, Danny, and very helpful observations, even if some in the gallery don't seem to grasp that. I think AZ gives us a glimpse into what human super GMs (particularly an Aronian or a Kasparov in his prime) would look like if they had perfect tactics. The 'ideas' are breathtakingly beautiful, especially the Zugswang aspects in Game 3. The journey of tactical shots that AZ builds upon to slowly maneuver SF into positions that would completely demoralize a human player is as elegant as Mozart's Magic Flute or Beethoven's Moonlight sonata.
@engboino
@engboino 6 лет назад
I do not have an elegantometer with me but I dare to say a computer is not more elegant than it is shy.
@zombiefireman
@zombiefireman 6 лет назад
Um, okay... Like Kasparov. Feel better?
@alpulley4894
@alpulley4894 6 лет назад
Alpha puts the squeeze like Petrosian but better. No tactical flaws.
@1ugh1
@1ugh1 6 лет назад
I absolutely LOVE the playstyle of Zero. Time is so important in Chess (and in Go). It's approach is similar in both games in that it regards SENTE in Go as worth much more than people generally do, and is impressed with initiative and time in general as valuable in chess. This, IMHO, is a real advancement and I would like to see how it holds up against Komodo and the latest Stockfish.
@Bloodlines8
@Bloodlines8 6 лет назад
Thanks for these videos Danny, please keep them coming! This seems like a really big step forward for humanity, this type of deep AI learning could improve so many aspects of life and current technologies. I wasn't able to see it with Alpha-Go because I'm not familiar with the game, but seeing it in chess is so freaking impressive. Also super excited to see how AlphaZero keeps improving in chess and what games it brings!
@MsSomeonenew
@MsSomeonenew 6 лет назад
It could go in all the right ways, but it could go in all the wrong ways also...
@russelllomando8460
@russelllomando8460 6 лет назад
I love your commentary Danny. Informative & entertaining at the same time.
@mattbarger86
@mattbarger86 6 лет назад
And to think that all AlphaZero ever really wanted was a friend :-(
@George4943
@George4943 6 лет назад
I love your personalization language. "'He' didn't like that line and 'chose' instead to . . .". Has he passed the Turing test?
@DavenH
@DavenH 6 лет назад
I'm loving these. Keep em' coming!
@questsin
@questsin 6 лет назад
loving the Alphazero vs Stockfish series!!
@nilsp9426
@nilsp9426 6 лет назад
In the line with Qc2, Be4 hanging the third piece to a pawn is just magical!
@brendan3518
@brendan3518 6 лет назад
I appreciated this pace. A lot covered in a short amount of time. Great explanations -- great video. Thanks for doing your own analysis and sharing this amazing game.
@jeffwads
@jeffwads 6 лет назад
The technique used in that exchange up ending was very instructive.
@Pedone_Rosso
@Pedone_Rosso 6 лет назад
It would be very interesting to see how the "evaluation function" figured out by alpha0 (whatever shape it might have) gives scores to chess positions. It definitely seems that it values controlled squares way more than pieces, especially when those squares are meaningful for the two Kings safety. Thanks for your videos, especially on this subject
@5zazen
@5zazen 6 лет назад
Pedone Rosso Evaluation may not work the same way as Stockfish. Look at the concepts of the decisions it makes. Az seems to rely more on static positions that rely on minimal tactical moves. This is very much like Go, which it learned first. Material advantage is much less important than piece position related to the board if the calculation is strong enough. Neural networks approximate human associations, so brute force algorithm thinking is not relevant to az. Humans don't waste time calculating each potential line like Stockfish. It's a waste of time and energy and it isn't thinking, which is shown by the end of this game, Stockfish doesn't know anything about chess just about calculation that has nothing to do with chess.
@Влади́мирПу́тин-м1и
according to the paper released by DeepMind, the initial inputs were only the rules of the game, and that checkmate is = 1, draw = 0 and loss = -1. There is no position evaluation algorithm, it plays to maximise the possibility of scoring 1. So since Alphazero plays what it "expects" would lead to scoring 1, it seems to come up with lines that sacrifices material in a way no engine would ever do, because they all have evaluation algorithms that heavily depends on material count.
@andrewcross5918
@andrewcross5918 6 лет назад
Pedone Rosso the go version evaluates win% for each position read so it will be the same since the same algorithm can learn chess, go and shogi just by changing the rule inputs before training begins.
@kasuha
@kasuha 6 лет назад
The problem is that with neural networks, the "evaluation function" is nothing a human can make sense of. The position is fed into it as series of numbers, and the network adds up these numbers in various ways making intermediate sums clipped by sigma function, then again adds up these intermediate results in various ways multiple times over until it presents a number or a bunch of numbers corresponding to its estimate of either the position or the next preferred move. The various weights used to sum up the input numbers is the matter that gets evolved in the learning process and for a human, it's a complete untanglible mess. I heard that AlphaGo Zero has about two million such weights. Not sure how many were there for the chess version but it may be in the same ballpark. Check this video (and the following ones) for a primer on neural networks: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-aircAruvnKk.html
@Pedone_Rosso
@Pedone_Rosso 6 лет назад
I read these answers, and I got a rough idea of how the equivalent of alpha0's search function operates, which makes understanding the meaning o its equivalent of the evaluation function a complex task. Nontheless, if the process allows the program to make a decision based on mathematical operations, there has to be a possible translation. And it's of course something we need to be able to extract from this software, or the whole experiment will simply be irrelevant. Chess is the problem we fed the machine, and the evaluation of current and possible future chess positions in view of a maximization of the winning chances is the given (approximated) answer, or the software wouldn't obtain the shown results vs the Stockfish engine. I love Chess and all, but developing AIs is not something we do in order to play Chess: it's something we test using Chess. But we do it in order to build instruments that are fit to be used to solve much more relevant problems, problems that are too complex and data rich for us to solve with our "natural intelligence" alone. (Also we do it in order to understand how our own mind actually works through the creation of physical models that we can tune and measure, which is also different than winning a chess game: still a matter that requires communication of the results from the model to us.) Thanks for your answers!
@JellyMonster1
@JellyMonster1 6 лет назад
Excellent commentary. Fascinating game.
@modolief
@modolief 6 лет назад
Wow, great analysis!! Very engaging and very thoughtful work. I'm glad you took the time to thread through a lot of the lines on your own; I think that's well reflected in the commentary. I also liked your pass through the endgame so that we could see how AlphaZero used super clean technique to make the win obvious.
@portlandbill987
@portlandbill987 6 лет назад
really brilliant commentary danny, love it
@KalaMiDeviL
@KalaMiDeviL 6 лет назад
Alpha zero‘s moves make so much sense as soon as you stop evaluating and just looking at the board with experiences in mind. I‘m really becoming a kind of agnostic as of lately when seeing these deep neural creations become intuitive.
@GinoTheSinner
@GinoTheSinner 6 лет назад
I like how you are not afraid to bring your own take on commentary, which isn't to be seen anywhere in chess (maybr Radiojan :)). Explosive and colorful. Keep it up!!!!
@chrisisaacson647
@chrisisaacson647 6 лет назад
According to the database at database.chessbase.com, The position after 16. Nc3 was played in Germany in 2011 by Podzielny, Karl Heinz (2408) vs Emunds, Hans George (2179) in game that that would go on to be a draw after 16... Bc4. (note the +229 ELO for white). According to that same database, Stockfish 8 finds this move at depth:42 and an updated Stockfish 031217 confirms this move even to d47. The "novelty" was 16... Ng7?! and would not be played on a stronger SF engine. IMO, this just illustrates how gimped SF was in this setup using an older version, no book, 1 GB hash, 1 minute time controls and much lower hardware that it's opponent. A0 has done wonderful things, but this was not a fair test.
@JMJF55
@JMJF55 6 лет назад
Chris Isaacson if only everybody knew, but people are too lazy to actually run it through stockfish, and look at its suggested moves on lichess
@dannygjk
@dannygjk 6 лет назад
Set up SF8 however you want and see how long it takes it to find A0's amazing moves. Go ahead.
@Xenon1rth
@Xenon1rth 6 лет назад
Looking up a game with a sub 2200 elo player is totally irrelevant. When analyzing games, you typically only go through IM+ level games because of so much random shit going on when looking at levels below IM
@Xenon1rth
@Xenon1rth 6 лет назад
@Peter sturm No I'm not? what is the purpose of your question? I'm 2100 and I would consider myself insane to refer to my own games because most openings are a mess at that level
@RantyCat
@RantyCat 6 лет назад
Excellent commentery...what's up with the hate comments? Weird...
@AbsoulteBaller
@AbsoulteBaller 6 лет назад
I agreed, it weird ... maybe something personal ..
@felixknowloveyoudlovetokno2324
i think it'S one of those ''conditioning'' Things. Those People just don't ''know any better'' because the experiences from which they've learned their behaiviors, were such that it lead to them taking that sort of Action. I take solice in the fact that the majority of People here recognize it as, well... as nearing worthlessness to take those Actions. :D thanks for the Analysis, this vid is much appreciated
@thejupiter1744
@thejupiter1744 6 лет назад
Eshan Chowdhury The haters escaped from the psychiatric clinic. Most of them have been recaptured, though sadly not all of them.
@andsviat
@andsviat 6 лет назад
Great analysis. Thank you!
@pandabearguy1
@pandabearguy1 6 лет назад
seems the queens indian and french defense are dubious at ultra high level play
@dannygjk
@dannygjk 6 лет назад
Don't forget the Sicilian! ;)
@mrbdzz
@mrbdzz 6 лет назад
Dubious at stronger than the stockfish level... I think I’ll still keep them in my repertoire.
@sergioivanhuequeman6164
@sergioivanhuequeman6164 6 лет назад
the win of alpha zero against the French defense was amazing!
@adifferentvideoofabananaev7706
Oh my goodness! Is this actually happening? I've been playing through the games all day today. And I don't believe what I'm seeing. This have the potential to render every chess book, every chess engine completely obsolete. Just wow. Congrats to Deep Mind team.
@modolief
@modolief 6 лет назад
Question: The match was played with 4 TPUs for AlphaZero, and "64 threads and a hash size of 1GB" for Stockfish. Is it known what _exactly_ was the hardware setup for each? And, my most burning question: How many watts did each machine draw?
@dannygjk
@dannygjk 6 лет назад
TPU's don't draw a lot of current.
@Diogenes_el_perro
@Diogenes_el_perro 6 лет назад
Al parecer la estrategia general que sigue Alpha Zero es el sacrificio de piezas para obtener una mejor posición en todas las partidas, ahogando a las piezas del rival, quitándole espacio, y limitando los posibles movimientos. Alpha Zero sabe que el rival tiene más piezas pero es como si no las tuviera. Simplemente genial.
@chess4life234
@chess4life234 6 лет назад
This is really great stuff! Thank you for the awesome analysis!
@bernardfinucane2061
@bernardfinucane2061 6 лет назад
Google is doing a terrible job protecting this channel from trolls.
@OriginalMindTrick
@OriginalMindTrick 6 лет назад
What do you mean "protecting from trolls"?
@JuanPablo-ts4vd
@JuanPablo-ts4vd 5 лет назад
Crazy finish, crazy tactics, crazy sacrifices!
@sosyalmedya2002
@sosyalmedya2002 6 лет назад
danny talking like it is already armageddon. chill dude, we still have at least 2-3 years for that.
@oojaa2
@oojaa2 6 лет назад
Wasn't it 2 years ago that news came out that fighter jet dodge fight simulations with AI were already onesided, even with a partly crippled plane?
@zxvc849
@zxvc849 3 года назад
this comment aged well
@derendohoda3891
@derendohoda3891 6 лет назад
It's a while now but it occurred to me watching this review again about the knight to d6 early in the game versus simply moving the rook to e1, there's a concept in the game of go of a driving technique, where you force your opponent to make a move that forces you to make a move you wanted to play anyway. In this case, instead of merely moving the rook to e1, alpha moves the knight to induce black to move the bishop to induce white to move the rook to e1. I don't know if chess players have a similar concept. Heck, being bad at chess, I don't even know if the concept is valid in chess.
@apollion888
@apollion888 6 лет назад
Good video, I enjoy the commentary and enthusiasm. When the queens were exchanged, you did it really quickly and never mentioned it happened. Such an exchange deserves vocalization. It's midnight though, so maybe I am completely wrong
@jamesmoore5603
@jamesmoore5603 6 лет назад
Your commentary is the best. Nice work!
@chess
@chess 6 лет назад
Thank you so much!
@michaelridge5710
@michaelridge5710 6 лет назад
Great instructive Commentary Danny! In the zone!
@markshort6049
@markshort6049 6 лет назад
Great job! I like your commentary. Thanks!
@InXLsisDeo
@InXLsisDeo 6 лет назад
People please report the annoying spammer.
@Akros2009
@Akros2009 6 лет назад
I did
@kevinworrell889
@kevinworrell889 4 года назад
Danny is so knowledgeable about so many various positions. I'm surprised that he never achieved at least a 2500 elo (GM).
@dmitryyanovsky2426
@dmitryyanovsky2426 6 лет назад
Your ROKIROVKA (for castling) is brilliant! So is the analysis! keep it up man!
@dipulbharalua
@dipulbharalua 6 лет назад
Some people are sceptical to accept that Alpha Zero is such a badass thing. They see this as a conspiracy, they're trying to prove that the games were fixed. But I think the evaluation and approach of Stockfish are inferior to Alpha Zero. If those games were fixed then now you can examine and evaluate on your own Stockfish which is free from any interference (if there's any during those game), it don't realise a losing position, which simply means that Stockfish has not that understanding of the level of Alpha Zero.
@MiNi-nn7zi
@MiNi-nn7zi 6 лет назад
...and blind and noisy Epsilon-minus semimoron "Grandmasters" crawl out from their caves onto the surface during these historical starting moments of the brand new beautiful world of Chess... I love that contrast! :3 Keep up doing good work Daniel!
@johnbouttell5827
@johnbouttell5827 6 лет назад
Thank you Danny. For us common people with normal IQ's, you are doing a wonderful job.
@Musicrafter12
@Musicrafter12 5 лет назад
Out of curiosity, I plugged the critical position before the stunning Bg5!!! into Stockfish 10. Well, these days Bg5 is Stockfish's top move, and it came up with it almost instantly. Stockfish also now recognizes that white is winning by about +1.4 in the position. Chess engines continue to get ever stronger...
@levtros6289
@levtros6289 6 лет назад
I think that if Daniel publish an Audio-book of this match,it become a bestseller!
@andrewnoland7648
@andrewnoland7648 6 лет назад
If black plays 20 ... f5, white has a very nice continuation with 21. Qf4 fxe4 22. Bxe4 Qh8 23. Bg6! Rxf4 24. Bxf4 Nd6 25. Bxd6 and mate is coming in 3 moves
@bkpump
@bkpump 6 лет назад
Hi Daniel, thanks so much for this commentary. I've just seen it now. I am not an avid chess player, but your commentary was important for me. I am a Go player (novice) and became interested in Deep Mind watching AlphaGo/AlphaZero beat the world's best in Go. When AlphaZero(AZ) beat the world's best, the common theme from commenting professionals was that Ke Jie (top pro) didn't make any obvious bad moves, and AZ didn't make any devastating moves. It appears that AZ always made just "slightly better" moves than the best. I've watched all of your reviews, and it appears that the same is true for AZ in chess. Always making just slightly better moves. Would you agree this is true? In fact, can you find the "losing move" for Stockfish? Thanks again for great commentary.
@drinkxyz
@drinkxyz 6 лет назад
I would love to see Alphazero play some chess960
@angel-ig
@angel-ig 4 года назад
X2
@aaronneal5312
@aaronneal5312 6 лет назад
Daniel, if Stockfish didn't play c5, then white simply plays Be5, Re7, and Rxg7 game over (if Qxg7 there, then Qxh6+ & mate next). Great video btw.
@angelandsoulsoul2924
@angelandsoulsoul2924 6 лет назад
Danny dodnt know if you were aware, but stockfish had its opening book turned off, which makes a big difference! Also it was running on a 64 core machine compared to an equicalent 400 core machine for alpha zero, would like to see match without any handicaps, still think alpha zero would probably win, but it would be much closer, and if the stockfish team could write specific updates for the software to take on alpha zero I think it would probably have a good shot at beating it...
@dannygjk
@dannygjk 6 лет назад
ok...you still have to explain 80 knps beating 70,000 knps.
@jean-marcfueri6678
@jean-marcfueri6678 6 лет назад
I read AlphaZero played 44 millions games during its training.
@brunofichtner6497
@brunofichtner6497 6 лет назад
Great video! As always I really appreciate chess.com material. Just felling a little annoyed by all the hate comments made by the trolls below. We as users of RU-vid should report these type of behavior... IM Daniel Rensch achieved his title by hard work, something that anyone who knows anything about chess should understand that is not something easy. As far as his commentary and style is concerned, I personally like it very much alas everyone has the right of their own opinion.
@mmmpieee123
@mmmpieee123 6 лет назад
great commentary, awesome game!
@unknow210
@unknow210 6 лет назад
great analysis!!!
@missjessgem
@missjessgem 6 лет назад
@2:16..... Knife f5
@leandroearth
@leandroearth 6 лет назад
This seems Kramnik.... long term compensation master.
@phongnguyen-hn2sl
@phongnguyen-hn2sl 3 года назад
AlphaZero is clearly the super computer not Stockfish, smarter computer usually wins.
@rabaromar4100
@rabaromar4100 8 месяцев назад
Game 14 watched ❤
@aikeii
@aikeii 6 лет назад
Good commentary, but I would like it to be longer!
@ajayparwani2403
@ajayparwani2403 6 лет назад
Think Alpha Zero is the mordern Tal version of Ai
@engboino
@engboino 6 лет назад
I enjoy chess but I don't like the game of go. Should I play checkers instead...?
@yadasampatidasa8690
@yadasampatidasa8690 6 лет назад
You should just play chess
@depizixuri58
@depizixuri58 6 лет назад
I propose a riot to demand the release of the remaining games.
@steinarvatne6789
@steinarvatne6789 6 лет назад
Which is more likely; a) A0 will (if it's made publicly available) change the evaluation of certain strategies or tactics, and thereby influence how human GM's play, or b) A0's strategies and tactics require a level of precision and foresight that is simply out of reach for humans, and attempting to use them would result in failure?
@nikpredom7095
@nikpredom7095 6 лет назад
These 10 games gave us an insight into how A0 approaches the game of chess in general(opening/middle game/endgame). I think it is not far fetched to say that we got a glimpse of what a first partial solution to chess would most probably look like.
@StrongwillGameTheory
@StrongwillGameTheory 4 года назад
Where's the Game 4???
@naimulhaq9626
@naimulhaq9626 6 лет назад
AZ employs certain techniques like sacrificing pawn/s and pinning pieces to take advantage that ultimately wins, with a lots of calculations. Does not employ brilliant combinations.
@mrbdzz
@mrbdzz 6 лет назад
Seriously, we live interesting times! Unlike the traditional engines that force their way through shear computational power (more or less), the AIs generally work their way with pattern recognition. I have high hopes that it can be analyzed in human terms what the AI sees in a position and what affects the scoring. For instance, this could be done by following the most influential neurons, which would point to the most significant squares to look at in the position.
@AndyThomas_mrblitz
@AndyThomas_mrblitz 6 лет назад
These videos are great; very constructive!
@chidieberendukwu
@chidieberendukwu 6 лет назад
SKYNET IS FINALLY HERE!!! THIS IS NOT A DRILL!!!
@ericnichols9223
@ericnichols9223 6 лет назад
This is like when I played the Queen's Indian Defense against Susan Polgar in a simul... where I'm
@jawadsaleh9971
@jawadsaleh9971 6 лет назад
loved the video and the analysis, keep tit up man and thanks don't listen to trolls.
@bobbob5255
@bobbob5255 6 лет назад
I find it laughable that you are trying to show better moves than what the engines did, when both of them are the greatest chess entities ever know to mankind
@PizzaCandyChipsPop
@PizzaCandyChipsPop 6 лет назад
Awesome video!
@hitesh.music20
@hitesh.music20 6 лет назад
i think these matches are fixed to gain popularity for alpha0
@DjVortex-w
@DjVortex-w 6 лет назад
Like with AlphaGo, perhaps Alpha Zero can be quite didactic for strong chess players?
@WaveTreader
@WaveTreader 6 лет назад
Alpha0mega
@Pinzote
@Pinzote 6 лет назад
Where can I download alpha zero ?
@5zazen
@5zazen 6 лет назад
H5 with tempo. Perhaps alphazero was thinking in sente, in Go terms as it has also mastered Go.
@thejupiter1744
@thejupiter1744 6 лет назад
😮 wow. This is like watching Alekhine playing at his best.
@YouKnowJus
@YouKnowJus 6 лет назад
stop showing the eight thousand possible combinations and show me what ACTUALLY happened.......
@colinjava8447
@colinjava8447 6 лет назад
3rd game I've seen now and just amazed by alphazero. If they made it faster with more knowledge perhaps it could win 100-0 against stockfish.
@AlexRochette
@AlexRochette 6 лет назад
LOLed @ "Under Exaggeration". #renschism
@ldeans5620
@ldeans5620 6 лет назад
Wow. Thanks.
@bartcarpenter8258
@bartcarpenter8258 6 лет назад
I think it was fantastic I liked it. I love computer Chess
@justinwr092
@justinwr092 6 лет назад
Awesome stuff.
@MsSomeonenew
@MsSomeonenew 6 лет назад
Humans doing commentary on a sport played out by robots... this is an interesting turn of events.
@dannygjk
@dannygjk 5 лет назад
I'm going to watch all the Alpha zero games 100 times then I will be 3600 Elo strength.
@yvesm.8855
@yvesm.8855 6 лет назад
Stockfish should get used to resigning otherwise they would have to change its name to Saltyfish.
@los1wochos
@los1wochos 6 лет назад
Thank you alphazero, now I can never again enjoy human chess games.
@felixknowloveyoudlovetokno2324
advice please on why at 1:56 black shouldn't move Knight to e4 ..? or rather what some beneficial moves for White are after this
@levtros6289
@levtros6289 6 лет назад
Deniel Rensch is great!
@treywaka2444
@treywaka2444 5 лет назад
is it just me or did he mix up the engines all the time?
@BR-hi6yt
@BR-hi6yt 6 лет назад
Nice commentary
@jalilcompaore
@jalilcompaore 6 лет назад
Probably a dumb question but was there any third party to confirm the results of the 100 matches? (and that everything was done with integrity...) Why is everybody accepting the results without question?
@onetouchtwo
@onetouchtwo 6 лет назад
I would like to visit Sac Town.
@angeldelacruz1384
@angeldelacruz1384 6 лет назад
there are 288 billion possible moves in chess. after playing millions or maybe hundredmillions of games in 4 hrs...Alphazero already picked or saved the best position in every game and A0 is searching it by 80k per sec . ... while SF8 is searching 70milion per sec all kinds of bad, good, and best move... obviously A0 got all the advantages in the match coz a min per move is not enough for stockfish.
@dannygjk
@dannygjk 6 лет назад
Nope A0 does not save positions. A0 number crunches each position using the neural net while A0 is searching the tree.
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