toastalon Lobsters • Recommends
#gradientdescent#floating-point#half-precision
GradIEEEnt half decent: The hidden power of imprecise lines
202K subscribers • 15 videos on Hallway
- Recommended by 2 people: 1 on Hacker News and 1 on Lobsters.
- Presented by Tom Murphy VII, computer scientist
Advanced. Deep dive for people who know the field.
390K views3 years ago2 recommendations
AI and machine learningSystems programmingNeural networks and deep learningMath for machine learningPerformance and optimization
Tom 7 demonstrates how the rounding errors in half-precision floating-point math can provide the non-linearity needed to train a neural network.
Before the invention of YouTube comments, most people could make remarks that were slightly technically incorrect without fear of immediate public rebuke. The one exception was professors, especially if the classroom included an annoying student such as “Tom 7.” The invention of YouTube was doubly revolutionary: Now anyone can experience being a professor being corrected by an annoying student, but also, corrections can be made years after the fact, and at significant length, as the student cannot be told to “take this offline.” This video is such a lengthy correction and digression, and perhaps itself a fount of mistakes. Due to the esoteric detail and prodigious whiteboarding, it is almost a “Tom Academy” video. But since I grew a moustache to film it, it qualifies for the Main Sequence. Keywords: Gradient descent, half-precision floating point, linear operations, F=MA, rounding, exotic transfer functions, machine learning, MNIST, CIFAR-10, chess, fractals, Frobenius, cryptography, fluint8, Motorola 6502. For SIGBOVIK 2023. Paper, impenetrable code, etc.: tom7.org/grad/Why it's here
2 people recommend thisWhat people say. Recommended as a brilliant and entertaining exploration of using floating-point rounding errors as activation functions.
jcparkynon Hacker News • Recommends
On “Your Transformer is Secretly Linear”
superkuhon Hacker News • Mentions
On “Numbers every LLM Developer should know”
Uehrekaon Hacker News • Mentions
On “"We'll call it AI to sell it, Machine Learning to Build it"”
jcparkynon Hacker News • Mentions
On “Were RNNs all we needed?”