@@ArtemKirsanov is biochemistry mostly fun and enjoyable? Can you share how you stay motivated? And do you have to study 24/7 or just a few hours a day is enough? Thanks for sharing.
I am a researcher who investigates how architectural space impacts our psyche, and topology and Lacanian's psychoanlysis (based on topology) impressed me. Your video is just brillantly presented, the informations, the flow, the few puns, the animations. It's perfect. Keep on rocking more spaces!
Dude, super well done. I also entered the competition and I think this is one of the best entries I’ve seen (I’ve seen a lot!). Good luck, well deserved!
Awesome presentation! Interestingly, in my lab we use nearly identical methods to describe turbulent fluids. Resolve the fluid velocity vector field on a grid, stack the velocity components to make an N-dimensional vector, and you can describe the evolution of the fluid as a 1D trajectory through ND space. Once again, not all configurations of the fluid are possible because of physical constraints, so the trajectory is bound to the "inertial manifold". We can use this description to compute all sorts of interesting things about the fluid, but I should be writing that in my thesis and not on TH-cam right now 😅
@@jessevos3986 search for dynamical systems and state space, which will take you to articles about the general method. Add "fluid" to your search terms to see it applied like I described
'Thought-space' has long fascinated me, both neurologically and philosophically. I've often wondered if the mathematical and philosophical world could be connected by understanding thought-space on a neurological level. Excellent work by all those involved in this presentation!!
Yuuuuup! For years I've believed that every thought, idea, piece of knowledge/information has a kind of 'geometry' to it. So when I have that visceral recognition: I've seen this shape of thing before; I take that very seriously. It really shows how silly the siloing of fields are. Yes, you really did see that same "shape" in literature, and physics, and art, and 15 other places. We really need to be exploring and learning about the incredible creatures and ecologies that make up the human-zoo of thought space.
This is so awesome! And to see that you were featured in 3Blue1Brown's videos is so refreshing to see. Great luck to you and to your journeys in math and Neuroscience!
I was studying the topic through a paper, and honestly I had no idea what is topology's business with neuroscience, your presentation shed a light on that. Thank you a lot.
Subscribed! Amazing presentation with extremely well-made animations and I am glad that you don't assume the viewers to be only interested in a watered-down version of the more difficult concepts so to make them easier to understand, but with loss of generality. Also, the profoundness of the result in the end (that the measured group of neurons actually represent a 1D manifold, just as expected) is extremely interesting. Thanks for this.
Though I am not a neuroscience student it is a joy to see how mathematics is being applied creatively to capture the essence of a phenomenon. You got a subscriber for life.
When I first watched this video two years ago, I found the concept of manifold weird and new. Now two years into uni, the chapter we are studying in my math course right now is precisely on writing proofs for smooth manifolds: tangent spaces, diffeomorphism, nonlinear systems, implicit form... How time has passed!
@Artem Kirsanov, this is absolutely brilliant in so many ways. Just wow! Though i am far from fluent in any of the languages you are speaking, on a more intuitive and perceptive level, all you share in this video is absolutely relevant to addressing fundamental problems in neurology, environmental science, philosophy, and myriad fields and disciplines --including several which i am intensely focused including tackling species-level, planetary-level, and whole-systems existential threats and transforming them into existential opportunities. I will review again, dive a little deeper into some of the concepts for a stronger grasp, and hopefully return. First time i see a video of yours -- i am blown away. I've been following 3B1B for quite some time and love his work and spirit too. You both represent a whole new world that is being birthed. Your video above is exciting, deep, uplifting, beautiful, and quite literally enlightening. Thank you. Look forward to seeing more, and hoping to meet someday, hopefully in a not too distant future. Best regards from Brazil.
This video it not only a piece of art in itself... it made me feel a positive hope for many reasons... how young this guy is... and how the work started by 3B1B is isnpiring other great quality works........ congratulations for this great work and.... thanks!
Excellent. You make me want to continue neuroscience studies by pursuing my Masters / PhD. I also like how you were able to omit using the word 'attractor' throughout the entire video.
One of the best channels on TH-cam! I've got so much out of this channel, thanks so much 🙏 I didn't realise head direction cells were strongly associated with the thalamus (always think EC by default). Though if we consider all global reference frames as egocentric (just hypothetically, though there is an interesting paper by Flavia Filimon on the concept), then it does kind of make sense that all cortical regions that collaborate spatially would retain strong origin-like components in their "signal". Time to impress girls with my new knowledge of topology!
17:40 - error. It is distinguishable by comparing the length of sting in different directions. Going at 90 degrees from the start point - returning back to it... measuring how long a string is. That way very precise surface can be eventually mapped. Each crossing of the line is a reference point. You can always monitor how far down the line you are, etc...
I paused the video at 20:30 to think about & answer the question, and I got it right, which felt really good and shows that you did a good job explaining the concept. This was so interesting! I might have to check out some of the references in the description!
Last time I read an article about this idea on a huge dimensional space (one for each neuron) was on an article on a book: Zeeman E. C. The topology of the brain and visual perception. In N . K. Fort (Ed.), Topology of 3-manifolds. Englewood Cliffs, N.J.: Prentice-Hall, 1962 Part 6 The Metric on the cortex. That I read in the 80s. Then I never saw something related again. Interesting to see new things about that 35 years later.
Спасибо. Мало того, что тема крутая и необычная, так ещё и русский акцент помогает понимать речь и делает просмотр не таким напряжным, как если смотришь других англоговорящих авторов. Подписался на канал : )
This video was a huge benefit to me. I always wanted to get into topology, but I am only really interested in how it relates to the brain. Now I understand fundamental topology better, as well as how it applies to neural population dynamics. Thanks!
Fantastic work, I'm impressed by the discovery itself and how this videos is explaining the concepts so well. I really like the moments to pause and think, before the answer is given. Good job!
Hi Artem, I have a robot that moves randomly around an apartment using two wheels. Each wheel can be powered independently: applying the same power to both wheels makes the robot move forward, while applying the same power in reverse makes it move backward. As the robot moves, it captures 32x32 RGB images of its surroundings. For each image, I also have a record of the action taken-the left and right wheel speeds-that led to that particular image. What I’m aiming for is to create a representation of the apartment as a continuous, unified "landscape." In this landscape, each motion (described by the left and right wheel speeds) would lead to a specific point, represented by an image or some equivalent feature. This would allow the robot to navigate intentionally to a particular spot in the apartment by moving toward the corresponding point in the landscape. I’ve gathered nearly 100,000 records of the robot’s movements and corresponding images, along with the image features extracted from them. Now, I want to use this data to help the robot navigate its environment in a purposeful, directed way, so it can reach a desired image or location.
I really love your videos and your job. I'm starting in the field of neuroscience with a background in biomedicine but little in math. Your videos really help me to understand some complex things. Thanks a lot! Also I really like you put reference and suggesting readings in your videos.
I just looked at all the videos tagged #some1 and I'm staggered by how many people added videos to this. I'd like to check them and review them, but holy moly is it a lot of videos.
Love this guy! I am all over this approach! Topology, from Poincare, was originally thought of as an approach to the constraints of the solution set to various differential equations….think this approach can bear much fruit in this arena🤩
Congratulations on this interesting and entertaining video. Very abstract concepts such as manifolds, homeomorphisms, etc. are clearly explained without getting into technical complications.
Excellent effort on explain a subject that could be a bit convoluted and non-intuitive. linking the activity of neurons to their topological geometrical activity space is key to starting to understand the world of population activity of neurons.
its a great representation of a good example, although I wonder how complicated structures would form for more complex neural activities like human cognitive behaviours; let's say abstract-decision making, or imagining an expression. I think shapes would turn more interesting in these domains, and would possibly require greater computational powers. Anyway, great job!
Naw, dawg. Complex computations are handled by the way neurons connect together and a ton of repetition. The best studied example of this vision. If you look into it, you can easily see how collections of neurons detect, compare, contrast, categorize, perform analogies, and contextualize. Sure, there are other logical functions of neurons, but it’s a good start. Ya know? You wanna might check out the website by McGill University, The Brain From Top to Bottom.
1. You need to elaborate what you mean by “abstract decision making”. It’s to vague of a question. 2. The “power” used by brain when you solve complicated problem and when you recognise a celebrity in Instagram is the same. Actually the brain uses more power when you sleep then when you are awake.
I study questions somewhat related to this (at an intersection of depression and persistent homology) -- I think you're very likely correct about needing higher-dimensional structures, but the computational cost of articulating topological information (i.e., homology, as in the video) at more than 3 or 4 dimensions can be pretty prohibitive, especially on a population-sized dataset.
My method before the slippery string was "walk around until you reach yourself, thus now you know how long it takes to go around. Then, walk a quarter of that, turn 90°, and repeat twice. On a sphere you should get back, but on a torus you'd end up somewhere different"
Super Artem
A good start. Don't get too excited. You'll have too many actual insights if you get deeper.
It is great, except the last comment about impressing girls!
what's wrong with that?@@ardic97sokak
“So next time you try to impress girls by talking about topology you won’t be limited by coffee mugs and donuts”
Fuck you got me, brilliant
:')
You hang out with the wrong girls!
If a layman like me can understand this then this guy is winning this competition for sure. Respect from India!
Thanks!! I hope so 😅
(I’m sorry for the late reply - my semester has just begun and biochemistry lab reports are being merciless)
@@ArtemKirsanov good luck with your semester!
@@ArtemKirsanov is biochemistry mostly fun and enjoyable? Can you share how you stay motivated? And do you have to study 24/7 or just a few hours a day is enough? Thanks for sharing.
An Indian guy says your TH-cam tutorial is good. You can relax now, you have officially won the internet.
🇮🇳🇮🇳🇮🇳
I am a researcher who investigates how architectural space impacts our psyche, and topology and Lacanian's psychoanlysis (based on topology) impressed me. Your video is just brillantly presented, the informations, the flow, the few puns, the animations. It's perfect. Keep on rocking more spaces!
will look this up! i keep eye matching multiple objects , play with perception, overall profiles of buildings, things, its amazing how things line up
The most pointless researcher job
If it gets proven mathematically that lacan models are somehow accurate I will literally shit myself
This is about neuroscience. Psychoanalysis has nothing to do with science. Good luck!
This is not for you.
This is INSANILY GOOD. Never saw so good exposition about topological spaces and manifolds without beeing pedant.
Dude, super well done. I also entered the competition and I think this is one of the best entries I’ve seen (I’ve seen a lot!). Good luck, well deserved!
Thanks so much, man!! I appreciate it
@@ArtemKirsanov This vid is blowing up!
@@ArtemKirsanov Dude you were in the top 20! Congrats man I was hoping for this one!
This is why i'm studying mathematics. Thank you for this amazing video.
As someone who has a BS in math and is struggling to land an actuarial job, study neural engineering
The problem with math is teaching children they can have -5 apples. On paper it works in reality your teaching them debt.
I'm crying this is so insightful and beautiful 😢
Absolutely brilliant, you've managed to explain all of this so plainly and clearly, one of the best videos on topology I've seen on YT
Awesome presentation! Interestingly, in my lab we use nearly identical methods to describe turbulent fluids. Resolve the fluid velocity vector field on a grid, stack the velocity components to make an N-dimensional vector, and you can describe the evolution of the fluid as a 1D trajectory through ND space. Once again, not all configurations of the fluid are possible because of physical constraints, so the trajectory is bound to the "inertial manifold".
We can use this description to compute all sorts of interesting things about the fluid, but I should be writing that in my thesis and not on TH-cam right now 😅
we should ALL be writing our thesis and not on youtube right now
That sounds super cool, where/with which keywords could I find out more about that?
@@jessevos3986 search for dynamical systems and state space, which will take you to articles about the general method. Add "fluid" to your search terms to see it applied like I described
Awesome
'Thought-space' has long fascinated me, both neurologically and philosophically. I've often wondered if the mathematical and philosophical world could be connected by understanding thought-space on a neurological level.
Excellent work by all those involved in this presentation!!
Thought Space?
@@davidarvingumazon5024
I think it's also called headspace, at times.
Idk if he talked about this. But I saw this concept in a (psych)trip once represented as a Möbius strip
Yuuuuup! For years I've believed that every thought, idea, piece of knowledge/information has a kind of 'geometry' to it. So when I have that visceral recognition: I've seen this shape of thing before; I take that very seriously. It really shows how silly the siloing of fields are. Yes, you really did see that same "shape" in literature, and physics, and art, and 15 other places. We really need to be exploring and learning about the incredible creatures and ecologies that make up the human-zoo of thought space.
I’m only one minute in, and I already love the intro, no filler bs, instead a man itinerary of today’s presentation
Fantastic! been waiting for some 3B1B grade classes on Brain-Information processing. Please keep the subject going. Thanks
This is so awesome! And to see that you were featured in 3Blue1Brown's videos is so refreshing to see. Great luck to you and to your journeys in math and Neuroscience!
This is easily the best explanation of the basics of topology I've ever come across. I finally understand what a manifold is! Fascinating video.
I was studying the topic through a paper, and honestly I had no idea what is topology's business with neuroscience, your presentation shed a light on that. Thank you a lot.
Subscribed! Amazing presentation with extremely well-made animations and I am glad that you don't assume the viewers to be only interested in a watered-down version of the more difficult concepts so to make them easier to understand, but with loss of generality. Also, the profoundness of the result in the end (that the measured group of neurons actually represent a 1D manifold, just as expected) is extremely interesting. Thanks for this.
Smart man. I appreciate your clear explanations of a concept I find sometimes difficult to explain to laymen. I appreciate the food for thought.
Though I am not a neuroscience student it is a joy to see how mathematics is being applied creatively to capture the essence of a phenomenon. You got a subscriber for life.
This is the best explanation of computational neuroscience I have ever heard !
Now I have passion for topology in neuroscience. Thank you for these excellent videos!
Also, that closing statement truly hit the nail on the real practicality of topology
When I first watched this video two years ago, I found the concept of manifold weird and new. Now two years into uni, the chapter we are studying in my math course right now is precisely on writing proofs for smooth manifolds: tangent spaces, diffeomorphism, nonlinear systems, implicit form... How time has passed!
@Artem Kirsanov, this is absolutely brilliant in so many ways. Just wow!
Though i am far from fluent in any of the languages you are speaking, on a more intuitive and perceptive level, all you share in this video is absolutely relevant to addressing fundamental problems in neurology, environmental science, philosophy, and myriad fields and disciplines --including several which i am intensely focused including tackling species-level, planetary-level, and whole-systems existential threats and transforming them into existential opportunities.
I will review again, dive a little deeper into some of the concepts for a stronger grasp, and hopefully return.
First time i see a video of yours -- i am blown away. I've been following 3B1B for quite some time and love his work and spirit too. You both represent a whole new world that is being birthed.
Your video above is exciting, deep, uplifting, beautiful, and quite literally enlightening. Thank you.
Look forward to seeing more, and hoping to meet someday, hopefully in a not too distant future. Best regards from Brazil.
Amazing job on this video. Bravo. You've clearly taken inspiration from one of YouTub's top science communicators.
This video it not only a piece of art in itself... it made me feel a positive hope for many reasons... how young this guy is... and how the work started by 3B1B is isnpiring other great quality works........ congratulations for this great work and.... thanks!
This is an amazing video. Thoroughly explained a complex topic, and I really loved your emphasis on developing an intuitive understanding. Great work!
This absolutely blew my mind. What a fantastic video!
Artem let me speak from my heart! I understand well your pronansation. This is first time so good for my listening skill
I'm a layman and played it at 2x speed. And I still understood it.
Absolutely brilliant. BRAVO!
You're a smart guy. This presentation was extremely well done. Very thorough and very clear. The best I've seen yet. Please keep up the good work !
Sensory afferents in certain species (e.g. weakly-electric fish) can fire at rates well above 500Hz, but these are exceptional. Very nice video!
Excellent. You make me want to continue neuroscience studies by pursuing my Masters / PhD. I also like how you were able to omit using the word 'attractor' throughout the entire video.
you are one of the most clear&smart people i know, thank you
This is such a good video! I loved every minute of it and was absolutely captivated. Great job Artem!
Mind, blown. Brilliant!
Awesome video man. when I looked at how many subs you had I had to double take because I thought it said 2 million! Good luck on the contest!
this is BY FAR my favourite SoME submission!
One of the best channels on TH-cam! I've got so much out of this channel, thanks so much 🙏
I didn't realise head direction cells were strongly associated with the thalamus (always think EC by default).
Though if we consider all global reference frames as egocentric (just hypothetically, though there is an interesting paper by Flavia Filimon on the concept), then it does kind of make sense that all cortical regions that collaborate spatially would retain strong origin-like components in their "signal".
Time to impress girls with my new knowledge of topology!
Excellent. Nice detour that wraps it up where we began.
This is so amazing. I’m a software engineer and using those analysis we could create an interface between brain and software without surgery.
17:40 - error. It is distinguishable by comparing the length of sting in different directions. Going at 90 degrees from the start point - returning back to it... measuring how long a string is. That way very precise surface can be eventually mapped. Each crossing of the line is a reference point. You can always monitor how far down the line you are, etc...
I'm a physicist and recently discovered these manifolds. Super interesting. Thanks for this, I hope Grant Sanderson see this.
amazing video. those infographic videos are a piece of art.
This is top tier! Glad to see the field getting some attention too :)
This is literally mind blowing. Awesome video and I’m excited to see more!
I paused the video at 20:30 to think about & answer the question, and I got it right, which felt really good and shows that you did a good job explaining the concept. This was so interesting! I might have to check out some of the references in the description!
Amazing... opens up to new possibilities and way of approaches, thank you!
Unbelievably incredible video. Amaaaazing work!
This is a fantastic overview of the topic, with valuable references. Please, do a follow-up video. Thx
The second he said "Devlop an intuitive understanding" 3B1B was summoned
Last time I read an article about this idea on a huge dimensional space (one for each neuron) was on an article on a book: Zeeman E. C. The topology of the brain and visual perception. In N . K. Fort (Ed.), Topology of 3-manifolds. Englewood Cliffs, N.J.: Prentice-Hall, 1962 Part 6 The Metric on the cortex. That I read in the 80s. Then I never saw something related again.
Interesting to see new things about that 35 years later.
Спасибо. Мало того, что тема крутая и необычная, так ещё и русский акцент помогает понимать речь и делает просмотр не таким напряжным, как если смотришь других англоговорящих авторов. Подписался на канал : )
Intuitive indeed, great video!
This video was a huge benefit to me. I always wanted to get into topology, but I am only really interested in how it relates to the brain. Now I understand fundamental topology better, as well as how it applies to neural population dynamics. Thanks!
far beyond EXCELLENT!!💯
Fantastic work, I'm impressed by the discovery itself and how this videos is explaining the concepts so well. I really like the moments to pause and think, before the answer is given. Good job!
So psyched that people are addressing this interesting topic. 🤔 Thank you!
Hi Artem,
I have a robot that moves randomly around an apartment using two wheels. Each wheel can be powered independently: applying the same power to both wheels makes the robot move forward, while applying the same power in reverse makes it move backward.
As the robot moves, it captures 32x32 RGB images of its surroundings. For each image, I also have a record of the action taken-the left and right wheel speeds-that led to that particular image.
What I’m aiming for is to create a representation of the apartment as a continuous, unified "landscape." In this landscape, each motion (described by the left and right wheel speeds) would lead to a specific point, represented by an image or some equivalent feature. This would allow the robot to navigate intentionally to a particular spot in the apartment by moving toward the corresponding point in the landscape.
I’ve gathered nearly 100,000 records of the robot’s movements and corresponding images, along with the image features extracted from them. Now, I want to use this data to help the robot navigate its environment in a purposeful, directed way, so it can reach a desired image or location.
maaan you are amongst the best teachers i have seen
I think I only understood half of it, but the half I understood is amazing. Thank you for giving us this new perspective on the working of the brain.
I can't even express how good of a video this was, really good work :)
Now,this is getting more & more interesting..
Your Video Is Efficiently Organized, Effectively Explained, And Informative At An Intuitive Level. Sincerely, Well Done.
I really enjoyed your presentation. Well done and looking forward to seeing more of neural manifolds. 💪🏻
I really love your videos and your job. I'm starting in the field of neuroscience with a background in biomedicine but little in math. Your videos really help me to understand some complex things. Thanks a lot! Also I really like you put reference and suggesting readings in your videos.
I just looked at all the videos tagged #some1 and I'm staggered by how many people added videos to this. I'd like to check them and review them, but holy moly is it a lot of videos.
The video started off really well. I was pretty hooked by your energy and all the neuroscience jargon.
That... that was incredibly incredible.
Production value is insane!! Good job!
Love this guy! I am all over this approach! Topology, from Poincare, was originally thought of as an approach to the constraints of the solution set to various differential equations….think this approach can bear much fruit in this arena🤩
Congratulations on this interesting and entertaining video. Very abstract concepts such as manifolds, homeomorphisms, etc. are clearly explained without getting into technical complications.
Great presentation. I like how the brain scribbles and I think I’m on my way to understanding how many holes it takes to fill the Albert Hall.
Wow you seem to be genius. I'll watch this over and over.
Fantastic video! Thanks Artem, great explanations.
Great Video Artem thank you !
Legend. Super excited to see this video.
amazing entry! you got my sub
This is absolutely amazing. Please don't stop
This is just straight-up fantastic. I learnt a lot, thank you.
This video goes so hard dude I'm glad I found your channel
Yup, this kid is going places. I'm sure we expect great things from you !
This is a fantastic exposition! I am excited to have found this channel.
This is absolutely fantastic! Good job!
Excellent effort on explain a subject that could be a bit convoluted and non-intuitive. linking the activity of neurons to their topological geometrical activity space is key to starting to understand the world of population activity of neurons.
time flied this video, didnt even notice its length. brilliant! also a very nice ending statement :)
You deserve much more views! Such clarity and fluidity between topics. Just subscribed, please keep up the great work!
Wow. What a great job!
how absolutely fascinating. thrilling video. thank you so much.
This is the first time I have felt like there is hope for solving the hard problem of consciousness.
Friend of mine at uni showed me this. I immediately subscribed!
This is absolutely amazing Artem! Please keep doing such videos
I'm so happy this is a project about TDA! Great video homie :)
Great video! Information dense, yet accessible, well made!
its a great representation of a good example, although I wonder how complicated structures would form for more complex neural activities like human cognitive behaviours; let's say abstract-decision making, or imagining an expression. I think shapes would turn more interesting in these domains, and would possibly require greater computational powers.
Anyway, great job!
Naw, dawg. Complex computations are handled by the way neurons connect together and a ton of repetition. The best studied example of this vision. If you look into it, you can easily see how collections of neurons detect, compare, contrast, categorize, perform analogies, and contextualize. Sure, there are other logical functions of neurons, but it’s a good start. Ya know?
You wanna might check out the website by McGill University, The Brain From Top to Bottom.
1. You need to elaborate what you mean by “abstract decision making”. It’s to vague of a question.
2. The “power” used by brain when you solve complicated problem and when you recognise a celebrity in Instagram is the same. Actually the brain uses more power when you sleep then when you are awake.
@@egor.okhterov do you have a reference for the amount of energy the brain consumes while asleep vs awake?
I study questions somewhat related to this (at an intersection of depression and persistent homology) -- I think you're very likely correct about needing higher-dimensional structures, but the computational cost of articulating topological information (i.e., homology, as in the video) at more than 3 or 4 dimensions can be pretty prohibitive, especially on a population-sized dataset.
Amazing video, congratulations! Incredible mix of topics and very exciting conclusion for what's next on neuroscience... Thanks!
Your name is way too similar to Sebastian Moran, the right-hand-man of Professor Moriarty, and I'm a fan of it.
I've been getting more and more youtubers below 100k subscribers; even some with just 10 subs -- Love this new youtube.
Very rarely I subscribe after watching just one video. This was very good.
Super nice! Thanks for the great explanation!
My method before the slippery string was "walk around until you reach yourself, thus now you know how long it takes to go around. Then, walk a quarter of that, turn 90°, and repeat twice. On a sphere you should get back, but on a torus you'd end up somewhere different"