Riemannian manifolds, kernels and learning

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  • เผยแพร่เมื่อ 11 พ.ย. 2024

ความคิดเห็น • 51

  • @JyujinPlus
    @JyujinPlus 5 ปีที่แล้ว +26

    “Start slow so you’re not lost from slide one.”
    You, sir, are my hero

    • @tobiaszb
      @tobiaszb 3 ปีที่แล้ว

      Classical math congress true joke.

    • @CannabinatedFantasy
      @CannabinatedFantasy 7 หลายเดือนก่อน

      skip to 14 min on 2x

  • @bartholomeosphinx4382
    @bartholomeosphinx4382 7 ปีที่แล้ว +87

    Same problem as with all Microsoft Research presentations - the producer of the film is ignorant as to the importance of the slides.

  • @davidk9382
    @davidk9382 4 ปีที่แล้ว +7

    Thank you to you and your students for sharing this.

  • @wananajakbandit
    @wananajakbandit 7 ปีที่แล้ว +56

    The content is great, but the production of this video is infuriating. Please leave the slide up for long enough for us to read the slide. As it is, you show the slide for a second, and then switch to a different camera angle.

    • @vector8310
      @vector8310 6 ปีที่แล้ว +19

      That's why God created the pause button

    • @davidk9382
      @davidk9382 4 ปีที่แล้ว +2

      @@vector8310 was about to say "boomer", but that would have been harsh.

    • @miguelcerna7406
      @miguelcerna7406 3 ปีที่แล้ว +2

      . who likes doing that? Ruins the flow of the lecture. Everyone has tje exact issue

    • @miguelcerna7406
      @miguelcerna7406 3 ปีที่แล้ว

      To everyone complaining about the slides...it gets worse, sound goes off at around min 29.

    • @pinklady7184
      @pinklady7184 3 ปีที่แล้ว

      I understand your frustration. Pause button helps.

  • @daleowens7695
    @daleowens7695 4 ปีที่แล้ว +11

    A bit beyond me, but this must be the theoretical underpinnings of how they produced the 3d graphics of landscapes from satellite images for MS Flight Simulator 2020.

  • @patrickjames4245
    @patrickjames4245 2 ปีที่แล้ว

    I just set someone up for the 1,000th like. Congrats to the Richard Hartley and the Microsoft Research team for creating this video. Very successful.

  • @neoneo1503
    @neoneo1503 ปีที่แล้ว +4

    14:42 The back and forth between Tangent space and manifold (iteration algorithm on manifold - Weiszfeld algorithm)

  • @Diego-es9yb
    @Diego-es9yb 3 ปีที่แล้ว +6

    im here listening but i dont understand anything

  • @brendawilliams8062
    @brendawilliams8062 2 ปีที่แล้ว

    Thankyou. The Professor insight into triangulation was appreciated.

  • @therealkalashnikov5460
    @therealkalashnikov5460 6 ปีที่แล้ว +9

    Math is the best :-) though I never received a passing grade.

  • @coleonez
    @coleonez หลายเดือนก่อน

    TY for the learning

  • @vegetableball
    @vegetableball 6 ปีที่แล้ว +11

    Suggestion: Speaker's name should be in the description.

    • @remidelmas9286
      @remidelmas9286 6 ปีที่แล้ว +1

      the speaker is richard hartley www.microsoft.com/en-us/research/video/riemannian-manifolds-kernels-and-learning/

    • @afaisaladhamshaazi7519
      @afaisaladhamshaazi7519 5 ปีที่แล้ว +1

      I thought it was Kurtwood Smith

  • @amirdaneshmand9743
    @amirdaneshmand9743 6 ปีที่แล้ว +13

    Please show the slides not the lecturer

  • @ILikeWeatherGuy
    @ILikeWeatherGuy 7 ปีที่แล้ว +14

    called exponential map because the trancendential e^x is the same when integrating/differentiating.

    • @tobiaszb
      @tobiaszb 3 ปีที่แล้ว

      Also in Lie Groups, the series definition of the exponent map holds ^^.
      "in the setting of matrix Lie groups, the exponential map is the restriction of the matrix exponential to the Lie algebra." en.wikipedia.org/wiki/Exponential_map_(Lie_theory)

  • @gokulrp6542
    @gokulrp6542 3 ปีที่แล้ว

    how come the geodesic distance of the first example(the sphere shown in the corner ) comes like that

  • @Alley00Cat
    @Alley00Cat 6 ปีที่แล้ว +5

    The necessary slides are here: www.robots.ox.ac.uk/~vgg/rg/slides/Oxford-Mar-2014.pdf

  • @ProfessionalTycoons
    @ProfessionalTycoons 5 ปีที่แล้ว +3

    such mathematical beauty

  • @Sweet-Vermouth
    @Sweet-Vermouth 3 ปีที่แล้ว +4

    Him: "The tangent plane is in fact the tangent plane".
    Me: Hmmm, yes. It do be that way...

    • @danielmcdade6906
      @danielmcdade6906 4 หลายเดือนก่อน

      Reading your comment made me go more cross-eyed than watching this video 😂

  • @Acheiropoietos
    @Acheiropoietos 6 หลายเดือนก่อน

    Is no one going to mention his choice of shirt and cardigan? They certainly don’t match as well as the manifold projections.

    • @goodday2022
      @goodday2022 3 หลายเดือนก่อน

      don't dunk on the drip

  • @davidwilkie9551
    @davidwilkie9551 6 ปีที่แล้ว +4

    If I "had the language", the direct relationships between e-Pi-i temporal resonance points on a zero axis harmonic, normal to the exponential map.., tangential vector spacing, would be "obvious", but these basic elements of the Quantum Operator, aligned on coaxial cones or sheaves, are understood empirically in terms of spacetime first, and to an observation of cause-effect, the reverse process of the Quantum Fields Modulation Mechanism is harmonically transparent. The observable Origin of QM-Time modulation in-form-ation is the Universal context of macro-micro vanishing point singularity connection.., "insideout", inflating the image-universe spectrum of time duration temporal superposition, eternity-now.
    It's not a Big Bang, but it looks like it superficially, in elemental statements, the "i-reflection" history or "Echo-location" positioning of QM-TIMESPACE.., Mathematically.
    The Observable Universe is WYSIWYG.., When inside the loops of time duration, at the Node of QM-Time eternity-now singularity connection. The time duration loops surrounding the combined vanishing point node of Observation/Origin are the sum-of-all-history here-now image, and that's the ordinary existence we've always known intuitively, but has been lost in the obscurity of a superficial narrative overlay.

    • @Sweet-Vermouth
      @Sweet-Vermouth 3 ปีที่แล้ว +4

      Looks like someone trained GPT-1 on Math and physics textbooks...
      You completely lost me bud, but I don't think the comment was intended for someone like me to begin with 😂
      Carry on...

  • @davidk9382
    @davidk9382 4 ปีที่แล้ว +1

    38K views? That cant be real.

    • @davidk9382
      @davidk9382 4 ปีที่แล้ว

      The hand that draws itself.

  • @SphereofTime
    @SphereofTime 7 หลายเดือนก่อน +1

    4:15

  • @thomasolson7447
    @thomasolson7447 ปีที่แล้ว

    Seems like math that got out of hand and is useful to no one. I think I'll stick to the SoME videos.

  • @Nooneonyou
    @Nooneonyou 6 ปีที่แล้ว +1

    links to slides www.robots.ox.ac.uk/~vgg/rg/slides/Oxford-Mar-2014.pdf

    • @bonbonpony
      @bonbonpony ปีที่แล้ว +2

      If you also add the login and password, you'll get another like.

  • @juliensorel1427
    @juliensorel1427 5 ปีที่แล้ว +4

    Really bad .. going from manifolds ...with basically no examples to Hilbert Space inner product .... ?????

  • @SphereofTime
    @SphereofTime 7 หลายเดือนก่อน

    44:39

  • @SphereofTime
    @SphereofTime 7 หลายเดือนก่อน +1

    7:00