You can improve the cache behavior of matrix multiplication by using a blocked algorithm. In this algorithm, rather than streaming through all of the inputs, you operate on one block at a time. Look ...

The latency of performing Vector-Matrix-Multiplication (VMM) using crossbar tiles with temporally bit-streamed inputs and spatially bit-sliced weights of layer l is represented by T tile.l. Lastly, ...

To evaluate their approach, the researchers compared their MatMul-free LM against a reproduced Llama-2-style model (which they call "Transformer++") across three model sizes: 370M, 1.3B, and 2.7B ...

Eliminating matrix multiplication The researchers came up with a strategy to avoid using matrix multiplication using two main techniques. The first is a method to force all the numbers within the ...

Photonic innovation: researchers in the US have created an optical metamaterial that can perform vector–matrix multiplication. (Courtesy: iStock/Henrik5000) A new silicon photonics platform that can ...

Matrix multiplication advancement could lead to faster, more efficient AI models At the heart of AI, matrix math has just seen its biggest boost "in more than a decade.” Benj Edwards – Mar 8 ...

A Laser Focus. In 1986, Strassen had another big breakthrough when he introduced what’s called the laser method for matrix multiplication. Strassen used it to establish an upper value for omega of ...

In this way, researchers have discovered new algorithms that multiply n-by-n matrices using fewer than the standard n 3 multiplication steps for many small matrix sizes. But algorithms that outperform ...

Today, companies use expensive GPU hardware to boost matrix multiplication efficiency, so any extra speed would be game-changing in terms of lowering costs and saving energy.