To try everything Brilliant has to offer-free-for a full 30 days, visit brilliant.org/ArtemKirsanov . You’ll also get 20% off an annual premium subscription
Your video on dendritic systems inspired me to study about neuromorphic computing, and then reservoir computing, and as an extension, dive deep into DEs and dynamical systems. It feels weird how the rabbit hole that started me on my journey has caught up to me 😅😅
@@joeystenbeck6697 I'd even go as far to say that it's a sort of dynamical system with attractor points lol. Similar people ofter gravitate towards similar interests
Good point. Just don't analyze it *too* much or you'll accidentally do the observer effect on the whole universe and collapse reality into a single one or zero 😂 I hope we score a point
Learned yesterday about Hopfield networks from ur video. And today John Hopfield & Geoff Hinton wins 2024 physics Nobel prize. Keep making in-depth videos on such topics Artem, they’re very intriguing.
Feeling kinda proud that I knew all math in the video in my 16, and also reminded that I haven't studied DE for a few month already. Your videos are amazing, i find answers for exact questions that bothered me for a long time. Thank you
where were you 4 months agoooo 😭😭I really needed this vid for a course in my previous semester. thnx for making and as always excellent quality! I hope nothing but the best happens to you 😄
I remember having a lot of problems understanding the concept of phase space due to my professor being terrible explaining it when I took the dynamical systems class. But your explanation was infinitely more clear and perfectly understandable. After seeing some of your videos I can honestly say you're one of the best science youtubers out there.
Loved how he simplifies the topic to be suitable for people who have no stomach for math. Is there any book recommended to study differential equations in the same way he did?
These videos are consistently amazing! Very excited for the next in the series! Getting into the actual math/dynamics of a neuron seems _extremely_ fascinating!
doing brilliant work spreading the beauty of computational neuroscience as always. as a physics major doing comp-neuro research, your videos synthesize topics in math, physics, and biology together very well and are a must watch for any who seek a deeper understanding of electrophysiology and neural networks. perhaps the next hopfield is a member of this lovely community :)
You should do a video on neurophysiology: I would love to learn why neurons and large interconnected sets of neurons cause certain effects. Like why does a biological neural network cause act x rather than act y? We know that neurons depolarize and hyperpolarize, and are numerous in amount and also amount of synapses, and we know that there are certain structures and regions and pathways in BNNs, but ultimately how/why does act x occur rather than act y? That's a question that I am extremely interested in and really want to determine the answer to.
An English tip: in English we don't say "our today's video".. Not sure if you're German, but German's "unser heutiges Video" doesn't translate directly into English. You would just say "today's video", or perhaps "our video today".
Great video overall, but limit cycles are technically defined differently. What you showed is just oscillatory behavior. Limit cycles happen when different phase space paths converge onto a cycle, as opposed to a single point. This isn’t possible in two dimensions, which is maybe why you didn’t show it, but a disclaimer would have been nice.
I think a limit cycle actually is possible in two dimensions. But I think you are right that a truly exactly periodic system would not technically be a limit cycle, since limit cycle implies that other paths tend to converge to it. And the population system is made up of infinitely many "shells" that don't transition between each other. Which maybe you could consider to be infinitely many limit cycles, depending on your definitions?
If the output of a *single* neuron depends on its own state some time ago, does that mean a single neuron has its own "memory"? If so, do we know the mechanism behind this memory?
I dont think the threat of being fired could have given me the motivation to finish my work asap so that I could watch this.... And the 15 year old me doesn't cannot fathom how i became a man who gets exited enough to scream like a girl because of a video on Differential Equations :-)
Ik it does not related to the video but in the video series of how the brain genralize you talked about the machine that can mimic this behaviour so why it is not AGI 😊
To try everything Brilliant has to offer-free-for a full 30 days, visit brilliant.org/ArtemKirsanov . You’ll also get 20% off an annual premium subscription
Your video on dendritic systems inspired me to study about neuromorphic computing, and then reservoir computing, and as an extension, dive deep into DEs and dynamical systems. It feels weird how the rabbit hole that started me on my journey has caught up to me 😅😅
I'd love to see a node graph that shows a bunch of people's paths and see how similar they are. All living things strive for their source I guess haha
@@joeystenbeck6697have a look at my geocog sims, i have one that models people
@@joeystenbeck6697 I'd even go as far to say that it's a sort of dynamical system with attractor points lol. Similar people ofter gravitate towards similar interests
Good point. Just don't analyze it *too* much or you'll accidentally do the observer effect on the whole universe and collapse reality into a single one or zero 😂 I hope we score a point
@@joeystenbeck6697 wait whats this? i dont want to that.. is that why people cant process my stuff.. stops the universe breaking?
Learned yesterday about Hopfield networks from ur video.
And today John Hopfield & Geoff Hinton wins 2024 physics Nobel prize.
Keep making in-depth videos on such topics Artem, they’re very intriguing.
This is the best channel on computational neuroscience ever!
Feeling kinda proud that I knew all math in the video in my 16, and also reminded that I haven't studied DE for a few month already.
Your videos are amazing, i find answers for exact questions that bothered me for a long time. Thank you
🤣I am even prouder I knew them all when I was 13
I love you man, please keep at it. I cannot stress enough how useful and informative your videos are. You deserve the world for this work.
Beautifully simple yet perfectly explained
where were you 4 months agoooo 😭😭I really needed this vid for a course in my previous semester. thnx for making and as always excellent quality! I hope nothing but the best happens to you 😄
Awesome stuff! Would love to see how this can be used to visualize recurrent neural network activity!
@@foreverjoyous u can see how recurrent information loops work in cortical columns in some of my simulations
I remember having a lot of problems understanding the concept of phase space due to my professor being terrible explaining it when I took the dynamical systems class. But your explanation was infinitely more clear and perfectly understandable. After seeing some of your videos I can honestly say you're one of the best science youtubers out there.
Loved how he simplifies the topic to be suitable for people who have no stomach for math.
Is there any book recommended to study differential equations in the same way he did?
Underrated chanel, love to hear that more is coming up
Very nice and clear presentaion.
These videos are consistently amazing! Very excited for the next in the series! Getting into the actual math/dynamics of a neuron seems _extremely_ fascinating!
doing brilliant work spreading the beauty of computational neuroscience as always. as a physics major doing comp-neuro research, your videos synthesize topics in math, physics, and biology together very well and are a must watch for any who seek a deeper understanding of electrophysiology and neural networks. perhaps the next hopfield is a member of this lovely community :)
Thank you so much!
You should do a video on neurophysiology: I would love to learn why neurons and large interconnected sets of neurons cause certain effects. Like why does a biological neural network cause act x rather than act y? We know that neurons depolarize and hyperpolarize, and are numerous in amount and also amount of synapses, and we know that there are certain structures and regions and pathways in BNNs, but ultimately how/why does act x occur rather than act y? That's a question that I am extremely interested in and really want to determine the answer to.
Love this idea for a series! Do you think you'll work up to population dynamics and RNNs?
Brother you have a knack for this. Keep up the good work, love your videos 👍🏻
An English tip: in English we don't say "our today's video".. Not sure if you're German, but German's "unser heutiges Video" doesn't translate directly into English. You would just say "today's video", or perhaps "our video today".
Great video overall, but limit cycles are technically defined differently. What you showed is just oscillatory behavior. Limit cycles happen when different phase space paths converge onto a cycle, as opposed to a single point. This isn’t possible in two dimensions, which is maybe why you didn’t show it, but a disclaimer would have been nice.
I think a limit cycle actually is possible in two dimensions. But I think you are right that a truly exactly periodic system would not technically be a limit cycle, since limit cycle implies that other paths tend to converge to it. And the population system is made up of infinitely many "shells" that don't transition between each other. Which maybe you could consider to be infinitely many limit cycles, depending on your definitions?
Impecable explanation, as expected from Artem. Thanks for another great video
This is so intuitive youre hella creative
Wow! 😲 Never knew about limit cycles
Babe wake up, the new video from Artem Kirsanov has been released.
Thanks babe
cringe
@@carlossegura403r/whooosh
Your channel is of such a high quality, I hope to be able to convey my ideas with such skill one day.
Keep these gems coming! Can't wait to watch your next videos!
Great quality educational video. 👍
Ever seen the character "Milo" from the movie "Atlantis: The Lost Empire"?
How many months of subscriptions so I can appear on your sponsor list page?
great work Artem ! keep going :)
Thank you, this is quite interesting, as always
im a simple man: i see an Artem Kirsanov video and i click...s/o you the goat man!
If the output of a *single* neuron depends on its own state some time ago, does that mean a single neuron has its own "memory"? If so, do we know the mechanism behind this memory?
I think the difference equation is a better formulation of dynamical systems than the differential equation and is more intuitive
Артём, у тебя великолепный канал 👏 все лучше и лучше!
Рад снова тебя увидеть
Your graphs are so pretty! What visualization tool are you using for your phase portraits?
Thanks! Just vanilla matplotlib quiver + a little After Effects magic for glow effects 😅
Sounds very physics-y
excellent!!
your videos are amazing thank you for the content
Reached my equilibrium point! What?? I'm stuck at ZERO FOREVER?!
LOVE THESE VIDEOS 💯🤩🤩
Hi! Awesome Video. What do you use for your videos? I really admire the quality
Thank you! Mostly After Effects + Python (matplotlib for mathematical animations)
Really Nice
And since everything changes all the time, DE are the language of being :-)
Another great video :)
Thanks!
i love this channel
@ 13:00, you incorrectly labeled the derivatives of populations as populations
Your videos are very precise and content rich
good video
This is absolutely brilliant!!!! Tysm for this!!
I dont think the threat of being fired could have given me the motivation to finish my work asap so that I could watch this.... And the 15 year old me doesn't cannot fathom how i became a man who gets exited enough to scream like a girl because of a video on Differential Equations :-)
Благодарю Артём. Мне очень понравилось твоё объяснение дифференциальных уравнений и как они помогают понимать мир вокруг нас.
Спасибо! ❤
awesome
Thank for uploading. Will watch it soon :)
Great content. But don’t you need to make it stochastic?
Artem is the king
damn bruv. The visuals are good as hell
I can only click so fast after an upload. 😤
This channel will have millions of subs in the years to come.
Finally! The man behind the maths.
❤
Amazing
Sir, could you also add the proliferation willingness of bacteria to the function as a small curve, but a large multiplier?
I love cats
The neuron is acting like a monostable multivibrator ( flip flop )
🎉🎉🎉 very nice video
Bock-teria 🐔
Ik it does not related to the video but in the video series of how the brain genralize you talked about the machine that can mimic this behaviour so why it is not AGI 😊
2:54 missed rotation of the ball, missed acceleration too
What a delicious video!
303
Nobel Price dropped, and guess what ?