When a local model is the right choice, and how to estimate its memory before you download anything.
Will it fit?
A model's memory has three parts that you can estimate before downloading anything.
Quantisation
Storing the model's weights with fewer bits (for example 8 or 4 instead of 16) to save memory and often to run faster, at some cost in quality. How much quality is lost depends on the model and method, so measure on your task.
Weights. parameters x bits / 8. A 7-billion-parameter model is about 14 GB at 16 bits, 7 GB at 8 bits and 3.5 GB at 4 bits. Real 4-bit formats usually need a little more than 4 bits per weight, because they also store scaling values, so treat these figures as a floor.
KV cache. While generating, the runtime keeps the keys and values of every earlier token for every layer (Level 1, module 2 explained attention). Its size is:
2 x layers x kv_heads x head_dim x context_length x bytes_per_value (x batch size)
For the illustrative shape in the example (32 layers, 8 key/value heads, 128 per head, 16-bit values), 4,096 tokens need about 0.54 GB, and the figure doubles whenever the context doubles.
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KV cache doubles every time the context doubles (fp16, one sequence) 0.27 GB 2,048 tokens 0.54 GB 4,096 tokens 1.07 GB 8,192 tokens 2.15 GB 16,384 tokens 4.29 GB 32,768 tokens Illustrative model shape: 32 layers, 8 key/value heads, 128 per head. Real models differ. KV cache against context length, from the example code. The shape is illustrative.
Overhead. The runtime itself, buffers, and the rest of your system. The example assumes 1 GB, which is a guess, so leave real headroom.
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Memory for a 7-billion-parameter model, 8k context (rough plan) 8 GB available fp16 16.07 GB too big int8 9.07 GB too big int4 5.57 GB fits weights KV cache overhead (assumed 1 GB) The same model at three precisions with an 8 GB budget. Only the 4-bit version fits.
fits ( 7 , "int4" , layers = 32 , kv_heads = 8 , head_dim = 128 , context = 8192 , memory_gb = 8 )
# {'weights_gb': 3.5, 'kv_gb': 1.07, 'need_gb': 5.57, 'fits': True}
Fitting is necessary, not sufficient. Speed depends on how fast the hardware can read the weights from memory, and on whether they sit in fast graphics memory or slower system memory. The formulas cannot tell you tokens per second. Only a measurement can.
Two common surprises
A model that fits at a short context can run out of memory at a long one, because the KV cache grows with context. And serving several users at once multiplies the KV cache by the number of simultaneous sequences.
Check yourself
Does a 13-billion-parameter model fit in 8 GB at 4 bits? (Weights alone: 13 x 4 / 8 = 6.5 GB. Add about 1 GB overhead and the KV cache, and you are close to or over 8 GB. It depends on the context, so it is not safe to say yes.)