Sydney Mathematical Research Institute - SMRI
Sydney Mathematical Research Institute - SMRI
  • Видео 247
  • Просмотров 92 340
Using maths to invent solutions to large-scale human problems, just in time to survive AI
In this public lecture, Po-Shen Loh will share his story of using his maths-professor background to devise new solutions to two practical problems that affect our whole society: disease control and education. The mathematical areas of network theory and game theory feature as inspirations.
During the COVID lockdown, Po-Shen invented an app which addresses the incentive misalignment problem intrinsic in contact tracing. His latest incentive alignment structure involves professionally trained actors and comedians collaborating with maths stars. This comes just in time, as the rise of AI necessitates more advanced skills!
Speaker bio: Po-Shen Loh is a social entrepreneur and inventor, working ...
Просмотров: 129

Видео

Geometry: The archetype of beauty
Просмотров 2263 месяца назад
Disclaimer - please be aware that the audio in this recording is of low quality, due to technical issues “Geometry is the archetype of the beauty of the world.” - Johannes Kepler Geometry was born from practical needs in ancient civilisations. Over the years, geometry has pushed boundaries of abstract and philosophical thought, facilitated scientific discoveries, and left an imprint in the fine...
Building mathematical bridges: Interview with Jessica Fintzen
Просмотров 3773 месяца назад
Pure mathematician Jessica Fintzen's research interests include representation theory and number theory: two areas of mathematics with a mysterious relationship. In this video profile, Jessica gives us a rundown of p-adic groups and their representations, and how they are connected to the Langlands Program. She also shares her mathematical motivations and even demonstrates a handstand or two......
Salil Vadhan: Derandomizing Algorithms via Spectral Graph Theory
Просмотров 1833 месяца назад
Abstract: Randomization is a powerful tool for algorithms; it is often easier to design efficient algorithms if we allow the algorithms to "toss coins" and output a correct answer with high probability. However, a longstanding conjecture in theoretical computer science is that every randomized algorithm can be efficiently "derandomized" converted into a deterministic algorithm (which always out...
Francis Su: Sperner's Lemma - A generalization with surprising applications
Просмотров 1413 месяца назад
Francis Su, Harvey Mudd College & SMRI Abstract: Who doesn't like one of these three: geometry, topology, and combinatorics? And even if you don't, you will still love Sperner's lemma, which is a combinatorial statement that is equivalent to the Brouwer fixed point theorem in topology. I'll explain what it is, why it's so amazing, give heartwarming old and new proofs, and present a recent gener...
Shane G. Henderson: A Tutorial and Perspectives on Monte Carlo Simulation Optimization
Просмотров 2073 месяца назад
Abstract: I provide a tutorial and some perspectives on simulation optimization, in which one wishes to minimize an objective function that can only be evaluated with noise through a stochastic computer simulation. First, I'll give a few examples and intuitively explain some central issues in the area. Second, I'll explain why so-called sample-path functions can exhibit extremely complex behavi...
Víctor Elvira: State-space models as graphs
Просмотров 2114 месяца назад
Victor Elvira, University of Edinburgh Date: Thursday 29 February 2024 Abstract: Modeling and inference in multivariate time series is central in statistics, signal processing, and machine learning. A fundamental question when analyzing multivariate sequences is the search for relationships between their entries (or the modeled hidden states), especially when the inherent structure is a directe...
Daryl Cooper: Symmetry, old and new
Просмотров 1294 месяца назад
Thursday 22 February Daryl Cooper, University of California, Santa Barbara Abstract: I will discuss symmetry from a combinatorial perspective. Examples include wallpaper groups, 4-valent graphs, regular languages, molecules, Penrose tilings and geometric 3-manifolds. It turns out that for each of these classes there is a finite universal geometric object that encodes all the possibilities.
D-Modules Course: Week 16
Просмотров 957 месяцев назад
24 November 2023 Presented by Dragan Milicic Course homepage: sites.google.com/view/2023dmodules/home
Francois Charton: Transformers for maths, and maths for transformers
Просмотров 5467 месяцев назад
Title: Transformers for maths, and maths for transformers Abstract: Transformers can be trained to solve problems of mathematics. I present two recent applications, in mathematics and physics: predicting integer sequences, and discovering the properties of scattering amplitudes in a close relative of Quantum Chromo Dynamics. Problems of mathematics can also help understand transformers. Using t...
D-Modules Course: Week Fifteen
Просмотров 1037 месяцев назад
17 November 2023 Presented by Dragan Milicic Course homepage: sites.google.com/view/2023dmodules/home
Andrew Krause: A world of mathematical patterns
Просмотров 2467 месяцев назад
Assistant Professor Andrew Krause is a mathematical biologist who specialises in non-linear dynamical systems. In this interview, Andrew discusses how to model a range of biological processes and other dynamical systems, from human fingerprint pattern formation to Alan Turing's chemical theory of morphogenesis. Along with Benjamin Walker and Adam Townsend, Andrew created VisualPDE.com, a unique...
D-Modules Course: Week Fourteen
Просмотров 667 месяцев назад
10 November 2023 Presented by Dragan Milicic Course homepage: sites.google.com/view/2023dmodules/home
D-Modules Course: Week Thirteen
Просмотров 768 месяцев назад
3 November 2023 Presented by Dragan Milicic Course homepage: sites.google.com/view/2023dmodules/home
D-Modules Course: Week Twelve
Просмотров 618 месяцев назад
27 October 2023 Presented by Dragan Milicic & Geordie Williamson Course homepage: sites.google.com/view/2023dmodules/home
D-Modules Course: Week Eleven
Просмотров 378 месяцев назад
D-Modules Course: Week Eleven
Paul Christiano: Formalizing Explanations of Neural Network Behaviors
Просмотров 4548 месяцев назад
Paul Christiano: Formalizing Explanations of Neural Network Behaviors
Neel Nanda: Mechanistic Interpretability & Mathematics
Просмотров 1,8 тыс.8 месяцев назад
Neel Nanda: Mechanistic Interpretability & Mathematics
D-Modules Course: Symplectic stuff, Singular support and Holonomicity
Просмотров 998 месяцев назад
D-Modules Course: Symplectic stuff, Singular support and Holonomicity
D-Modules Course: Borel-Weil-Bott Theorem
Просмотров 1508 месяцев назад
D-Modules Course: Borel-Weil-Bott Theorem
Behrouz Taji: D-modules workshop talk
Просмотров 658 месяцев назад
Behrouz Taji: D-modules workshop talk
Dougal Davis: D-modules workshop talk 3
Просмотров 509 месяцев назад
Dougal Davis: D-modules workshop talk 3
Dragan Milicic: D-modules workshop talk
Просмотров 659 месяцев назад
Dragan Milicic: D-modules workshop talk
Sadhika Malladi: Mathematical Views on Modern Deep Learning Optimization
Просмотров 3499 месяцев назад
Sadhika Malladi: Mathematical Views on Modern Deep Learning Optimization
Dougal Davis: D-modules workshop talk 2
Просмотров 659 месяцев назад
Dougal Davis: D-modules workshop talk 2
Dougal Davis: D-modules workshop talk 1
Просмотров 999 месяцев назад
Dougal Davis: D-modules workshop talk 1
D-Modules Course: Borel-Weil-Bott and Localisation
Просмотров 889 месяцев назад
D-Modules Course: Borel-Weil-Bott and Localisation
D-Modules Course: The Localisation Theorem
Просмотров 1179 месяцев назад
D-Modules Course: The Localisation Theorem
Greg Yang: The unreasonable effectiveness of mathematics in large scale deep learning
Просмотров 1,5 тыс.9 месяцев назад
Greg Yang: The unreasonable effectiveness of mathematics in large scale deep learning
Zoe Wyatt: Stability problems in general relativity
Просмотров 2689 месяцев назад
Zoe Wyatt: Stability problems in general relativity

Комментарии

  • @BlueSoulTiger
    @BlueSoulTiger Год назад

    Thank you for this talk, but also for the excellent introduction - so brief yet effective: here's the speaker, here's the topic, done. No recitals, no biographies, thank goodness.

  • @040_faraz9
    @040_faraz9 2 года назад

    KL polynomials on the way

  • @inkdfist3702
    @inkdfist3702 2 года назад

    16:38 Those were very inspirational words to hear, I hope I can study that field one day, it sounds so exciting and useful

  • @petervanderkamp3372
    @petervanderkamp3372 2 года назад

    In the useful exercise, isn't the operator L Nijenhuis if and only if f(z) is a holomorphic function or a real function?

  • @IamBrill
    @IamBrill 2 года назад

    Planning on taking mathematical biology this semester. It's actually my final year in college

  • @TheFireHacker
    @TheFireHacker 2 года назад

    I was able to attend this talk live online. Fact that such content is freely and openly available is awesome 🎊

  • @relike868p
    @relike868p 2 года назад

    There is a style of contemporary classical music that tries to recreate, say, a trombone Eb using other different musical instruments (not tuning forks, but close) and this is known as spectralism.

  • @priscilla6865
    @priscilla6865 2 года назад

    i read dozens of papers about correlations of such afs for one year, and i were baffled. It’s clear to me now.

  • @reptilewithsadhumaneyes
    @reptilewithsadhumaneyes 2 года назад

    Inspiring talk!

  • @gilesgardam
    @gilesgardam 2 года назад

    Slides available at www.gilesgardam.com/slides/smri.pdf

  • @jomath5790
    @jomath5790 2 года назад

    Thanks for sharing this video. I'm looking forward to meeting Prof Terence and visiting Sydney.

  • @raa9558
    @raa9558 3 года назад

    bad mic/upload, the audio is intractable

    • @SydMathInst
      @SydMathInst 3 года назад

      Apologies - we are currently troubleshooting this issue.

  • @kamilziemian995
    @kamilziemian995 3 года назад

    This is so hard and so fascinating at the same time.

  • @BlueSoulTiger
    @BlueSoulTiger 3 года назад

    A wonderful video in many ways: simplified, yes, but not dumbed down; the visuals contributed to the story-telling and were not mere afterthoughts; the video notes are comprehensive and not cursory. Thanks to the film-makers and of course to Asoc. Prof. Hajek for sharing herself and her work. Very interesting.

  • @kamilziemian995
    @kamilziemian995 3 года назад

    Martin Hairer is both great mathematician and great speaker.

  • @timhorton233
    @timhorton233 3 года назад

    this is freaking amazing

  • @fischergriess6321
    @fischergriess6321 3 года назад

    He starts at 3:00. You're welcome.

  • @timdavid9922
    @timdavid9922 3 года назад

    Sorry, Can you put lecture 5 of this courses?

    • @SydMathInst
      @SydMathInst 3 года назад

      Apologies, Lecture 5 was not recorded