Comments (5)
Yes, we took an approximation that didn't change the performance much but is slightly easier to implement. This is the first order approximation on the discretization coefficient in front of
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Ahh okay. Thanks for clarifying!
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A related question on A_bar, shouldn't it be matrix exponential e^(Delta A)? The first order approximation would be Eye + Delta .* A; In the reference code, element wise exp function is used:
def selective_scan_ref(...):
...
deltaA = torch.exp(torch.einsum('bdl,dn->bdln', delta, A))
Thanks
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A is a diagonal matrix so exp is applied element-wise (i.e. applied to the diagonal entries). The off diagonal entries are all zero and not stored.
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I see, the network will learn all the eigen values of A, and eigen vectors absorbed by surrounding projections (weights also learned).
Thanks for the wonderful work!
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Related Issues (20)
- How to calculate Flops for mamba_chunk_scan_combined and mamba_split_conv1d_scan_combined function HOT 1
- Replace mamba1 with mamba2 and training becomes very slow! HOT 2
- Implement a "crossmamba" block for different length sequences HOT 3
- How to use sequence parallelism in Mamba2?
- Changing expansion_factor resulted in 'c10::DistBackendError HOT 1
- Mamba for encoder-decoder HOT 2
- mamba_split_conv1d_scan_combined error HOT 1
- torch.cuda.amp.custom_fwd(args...) Deprecated
- Is it possible to get ssm_states at specific seq len instead of just the last state? HOT 1
- How to modify mambaV2 to set causal=False? HOT 3
- Reducing _chunk_scan_bwd_kernel computation HOT 4
- Exploding gradients if ngroups is higher than 1. HOT 3
- clarification on how to interpret kernel size for conv1d HOT 1
- Some questions about the shape of A,B,C,D HOT 5
- How can I avoid using causal-conv1d? HOT 11
- Is it okay to put S6(MAMBA) and gated MLP blocks like a transformer? (Also please open the discussion tab)
- Vanishing gradient problem with more layer HOT 1
- Results vary greatly across experiments
- Gradient explosion in Mamba2 training, norm and loss divergence HOT 3
- Optimizing the bwd pass of Mamba 2 HOT 3
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