Chunk-Wise Inference does not match Full-Length Inference

[WorldEditors]

The reproduction code:

from mamba_ssm import Mamba2
from mamba_ssm.utils.generation import InferenceParams
import torch

bsz = 1
seq_len = 256
seg_len = 64
dim = 512
seg_num = (seq_len - 1) // seg_len + 1

x = torch.randn(bsz, seq_len, dim).to("cuda")

inference_params = InferenceParams(max_seqlen=seq_len, max_batch_size=bsz)

model = Mamba2(
    # This module uses roughly 3 * expand * d_model^2 parameters
    d_model=dim, # Model dimension d_model
    d_state=64,  # SSM state expansion factor, typically 64 or 128
    d_conv=4,    # Local convolution width
    expand=2,    # Block expansion factor
    layer_idx=0
).to("cuda")

y = model(x,inference_params=inference_params)


inference_params.key_value_memory_dict[0][0].zero_()
inference_params.key_value_memory_dict[0][1].zero_()

for i in range(seg_num):
    b = i * seg_len
    e = min(b + seg_len, seq_len)
    yseg = model(x[:, b:e], inference_params=inference_params)
    error = y[:, b:e] - yseg
    print(f"Seg {i} error:", torch.sum(error ** 2))

assert y.shape == x.shape

Expect output error close to zero,
but instead we get:

Seg 0 error: tensor(1.0139e-08, device='cuda:0', grad_fn=<SumBackward0>)
Seg 1 error: tensor(158.5197, device='cuda:0', grad_fn=<SumBackward0>)
Seg 2 error: tensor(141.9800, device='cuda:0', grad_fn=<SumBackward0>)
Seg 3 error: tensor(161.3486, device='cuda:0', grad_fn=<SumBackward0>)