Binary arithmetic | Floating point types
In computing, half precision (sometimes called FP16) is a binary floating-point computer number format that occupies 16 bits (two bytes in modern computers) in computer memory. It is intended for storage of floating-point values in applications where higher precision is not essential, in particular image processing and neural networks. Almost all modern uses follow the IEEE 754-2008 standard, where the 16-bit base-2 format is referred to as binary16, and the exponent uses 5 bits. This can express values in the range ±65,504, with the minimum value above 1 being 1 + 1/1024. Depending on the computer, half-precision can be over an order of magnitude faster than double precision, e.g. 550 PFLOPS for half-precision vs 37 PFLOPS for double precision on one cloud provider. (Wikipedia).
Binary 4 – Floating Point Binary Fractions 1
This is the fourth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers the representation of real numbers using floating point binary notation. It begins with a description of standard
From playlist Binary
Binary 5 – Floating Point Range versus Precision
This is the fifth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video elaborates on the representation of real numbers using floating point binary notation. It explains how the relative allo
From playlist Binary
Binary 8 – Floating Point Binary Subtraction
This is the eighth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers subtraction of floating point binary numbers for a given sized mantissa and exponent, both in two’s complement.
From playlist Binary
Decimal Notation: Writing Decimals in Words
This video explains how to write numbers in decimal notation in words. http://mathispower4u.com
From playlist Introduction to Decimals
Binary 7 – Floating Point Binary Addition
This is the seventh in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers adding together floating point binary numbers for a given sized mantissa and exponent, both in two’s complement.
From playlist Binary
This video will teach students how to convert from fractions to decimals. In particular, I show students how to set up a long division problem using a fraction. Next, I demonstrate the technique of adding zeroes so that an accurate decimal can be found. Thank you for watching and please s
From playlist PreAlgebra
Decimal Notation: Rounding Decimals
This video explains how to round decimals to a given place value. http://mathispower4u.com
From playlist Number Sense - Decimals, Percents, and Ratios
Boost Fine-Tuning Performance of LLM: Optimal Architecture w/ PEFT LoRA Adapter-Tuning on Your GPU
Not enough memory to fine-tune your Language Model: T5, GPT, OPT, BLOOM, Llama, ..? Optimize your model architecture to the MAX for optimal fine-tuning (adapter-tuning) for faster, cheaper and MIN memory on your GPU! LLM Fine-Tuning on a Budget: Supercharge Your Language Model on a Norma
From playlist ALPACA and Adapter-tuning w/ PEFT & LoRA for new LLMs
Examples: Writing a Decimal as a Simplified Fraction
This video provides examples of writing a number in decimal notation as a fraction in reduced or simplified form. Complete video list: http://www.mathispower4u.com
From playlist Introduction to Decimals
Half-Precision Math in Modeling and Code Generation
Learn about the half-precision datatype in MATLAB®. Walk through the process of building highly efficient embedded algorithms and generating efficient C++, HDL, and GPU code that use half-precision. See how using half-precision can speed up your deep learning, computer vision, and other wo
From playlist Tips and Tricks from MATLAB and Simulink Developers
Ultimate Guide To Scaling ML Models - Megatron-LM | ZeRO | DeepSpeed | Mixed Precision
🚀 Sign up for AssemblyAI's speech API using my link 🚀 https://www.assemblyai.com/?utm_source=youtube&utm_medium=social&utm_campaign=theaiepiphany 👨👩👧👦 Join our Discord community 👨👩👧👦 https://discord.gg/peBrCpheKE In this video I show you what it takes to scale ML models up to tril
From playlist Miscellaneous
Performant, scalable models in TensorFlow 2 with tf.data, tf.function & tf.distribute (TF World '19)
TensorFlow’s tf.distribute library helps you scale your model from a single GPU to multiple GPUs and finally to multiple machines using simple APIs that require very few changes to your existing code. Come learn about how you can use tf.distribute to scale your machine learning model on a
From playlist TensorFlow World 2019
Why we can't take "dt" to 0 in a computer: Sources of error in numerical differentiation
We have seen that the error of numerical differentiation typically scales with the time step dt. So why can't we just reduce the time step arbitrarily small to control the error? This video describes how numbers are stored in a computer and how small roundoff errors are amplified by very
From playlist Engineering Math: Differential Equations and Dynamical Systems
IEEE 754 Standard for Floating Point Binary Arithmetic
This computer science video describes the IEEE 754 standard for floating point binary. The layouts of single precision, double precision and quadruple precision floating point binary numbers are described, including the sign bit, the biased exponent and the mantissa. Examples of how to con
From playlist Binary
[1] - Introduction to C/C++ - Basic starting points
This is my very first video introducing basic concepts of programming in C/C++. See the notebook page here: https://tinyurl.com/y88xv3kl Please comment and give me feedback. Was it too basic, too slow, too fast? What should I cover in the next video? Did I skip over something or do s
From playlist One-off Tutorials
NumericArray—Compact Representation of "Numeric" Arrays
To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: PiotrWendykier Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, an
From playlist Wolfram Technology Conference 2018
Learn how to subtract a larger decimal from a smaller decimal
👉 You will learn how to add and subtract numbers in decimal form. When adding and subtracting decimals it is very important to align the decimal points and use zero as space holders. Then you will apply the operations just like we do in multi-digit operations but keep track of the decima
From playlist Decimals