Learn more about LLMs & more at ► https://brilliant.org/TreforBazett to get started for free for 30 days, and to get 20% off an annual premium subscription!
In this video we're going to answer just how good Large Language Models (LLMs) like ChatGPT 4o, Claude 3.5, and Google's Gemini are at mathematics. I'll cite some of the results from the literature using databases such as GSM8k and MATH, and we'll see several math examples along the way. References below.
0:00 How to measure AI at math?
0:56 GSM8k and GSM-Hard
2:44 The MATH Database
4:43 ChatGPT 4o vs Gemini vs Claude 3.5 Sonnet
6:13 My Linear Algebra Exams
8:32 Computational Engines
10:34 Brilliant.org/TreforBazett
References and Citations:
*GSM8k (including graphic at 1:10 ) https://paperswithcode.com/sota/arith...
*GSM-Hard stats found in here: https://arxiv.org/abs/2406.07394
*Google Deepmind paper citing MATH database: https://arxiv.org/pdf/2406.06592
*I first saw the question about the smallest integer here: https://x.com/ericneyman/status/18041...
*Math Olympiad level problems (5:30): https://arxiv.org/abs/2406.07394
*Stats for Claude 3.5: https://www.anthropic.com/news/claude...
*Image of two calculators at 2:30 shared via CC-BY-SA 3 original here: https://www.wikidata.org/wiki/Q166882...
BECOME A MEMBER:
►Join: / @drtrefor
MATH BOOKS I LOVE (affilliate link):
► https://www.amazon.com/shop/treforbazett
COURSE PLAYLISTS:
►DISCRETE MATH: • Discrete Math (Full Course: Sets, Log...
►LINEAR ALGEBRA: • Linear Algebra (Full Course)
►CALCULUS I: • Calculus I (Limits, Derivative, Integ...
► CALCULUS II: • Calculus II (Integration Methods, Ser...
►MULTIVARIABLE CALCULUS (Calc III): • Calculus III: Multivariable Calculus ...
►VECTOR CALCULUS (Calc IV) • Calculus IV: Vector Calculus (Line In...
►DIFFERENTIAL EQUATIONS: • Ordinary Differential Equations (ODEs)
►LAPLACE TRANSFORM: • Laplace Transforms and Solving ODEs
►GAME THEORY: • Game Theory
OTHER PLAYLISTS:
► Learning Math Series
• 5 Tips To Make Math Practice Problems...
►Cool Math Series:
• Cool Math Series
SOCIALS:
►X/Twitter: http://X.com/treforbazett
►TikTok: / drtrefor
►Instagram (photography based): / treforphotography