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#120 - Iolo Jones: Riemannian Diffusion Geometry, Geometric Data Analysis, Markov Chains
Manage episode 452547714 series 3509704
Jones' research demonstrates that diffusion geometry outperforms multi-parameter persistent homology as a biomarker for tumor histology data, both real and simulated. It also shows promise in robustly measuring the manifold hypothesis by detecting singularities in manifold-like data.
This episode offers listeners a fascinating glimpse into the intersection of advanced mathematics, data analysis, and real-world applications, showcasing how these innovative techniques are reshaping our understanding of complex datasets and geometric structures.
- Follow Scraping Bits on Twitter: https://x.com/scrapingbits
- Your Host, DeGatchi: https://x.com/DeGatchi
- Guest Speaker: https://x.com/iolo_jones
- Paper: https://arxiv.org/abs/2405.10858
Please support this podcast by checking out our sponsors:
Keywords: mathematics, math, riemannian geometry, diffusion, stochastic processes, game theory, calculus, linear algebra, category theory, signal processing, statistics, probability, solo auditor, public auditing platforms, private audits, scalability, freedom, Scraping Bits podcast, blockchain technology, audit industry, flashbots, reverse engineering, cybersecurity, infosec, mev, mev bot, quant.
135 つのエピソード
Manage episode 452547714 series 3509704
Jones' research demonstrates that diffusion geometry outperforms multi-parameter persistent homology as a biomarker for tumor histology data, both real and simulated. It also shows promise in robustly measuring the manifold hypothesis by detecting singularities in manifold-like data.
This episode offers listeners a fascinating glimpse into the intersection of advanced mathematics, data analysis, and real-world applications, showcasing how these innovative techniques are reshaping our understanding of complex datasets and geometric structures.
- Follow Scraping Bits on Twitter: https://x.com/scrapingbits
- Your Host, DeGatchi: https://x.com/DeGatchi
- Guest Speaker: https://x.com/iolo_jones
- Paper: https://arxiv.org/abs/2405.10858
Please support this podcast by checking out our sponsors:
Keywords: mathematics, math, riemannian geometry, diffusion, stochastic processes, game theory, calculus, linear algebra, category theory, signal processing, statistics, probability, solo auditor, public auditing platforms, private audits, scalability, freedom, Scraping Bits podcast, blockchain technology, audit industry, flashbots, reverse engineering, cybersecurity, infosec, mev, mev bot, quant.
135 つのエピソード
すべてのエピソード
×1 #135 - Abhimanyu Nag: Markov Chains, Complex Dynamical Systems, Chaos Theory 1:13:00
1 #134 - James Shakarji: Orderbook Game Theory, Stochastic Calculus, Itos Lemma, Markov Chains 1:03:45
1 #133 - Marco Francischello: Stochastic Analysis, Financial Math, The Importance Of Math Intuition 1:14:19
1 #132 - Baran Cimen: Ensemble Financial Machine Learning, Combining Market Effects, Statistical Mechanics 51:24
1 #131 - Nicole Königstein: Head Of Quantmate AI Explains Breaking Into Financial Machine Learning 1:04:57
1 #130 - 0xcacti: Set Theory, Incompleteness Theorem, Options MEV, Convex Optimisaiton 1:15:50
1 #129 - Colin Roberts: Clifford Analysis, Topology vs Geometry, Non-Euclidean Geometry 1:26:37
1 #128 - Aryeh Kontorovich: Witnessing Discoveries At Bell Labs, Markov Chains, NLP, Proving Theorems Form Scratch 58:26
1 #127 - DeepThrill - Evolutionary Algorithms, AI Mutations, Medical Computer Vision To Find Cancer 1:18:23
1 #126 - MevQuant: Stochastic Calculus, Measure Theory, Itos Lemma, Discretisation 1:25:05
1 #125 - Nick Spizzirri - Reverse Engineering Math w/ Stochastic Differental Equations 1:12:52
1 #124 - David Yenicelik - The AI Search Space Problem, NLP, Semantic Meaning 1:13:32
1 #123 - Degeneral: Proving A 4-Year Long Proof Unexpectedly, The Beauty Behind Pure Math 1:30:28
1 #122 - Tom Burns: Digital Neurosience, Fully Autonomous Agents, AI Safety + Control 55:30
1 #121 - Everado Olide: Building Batteries From Scratch, Material Science, Differential Equations 1:33:25
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