State-space model with O(n) complexity vs Transformers' O(n²). 5× faster inference, million-token sequences, no KV cache. Selective SSM with hardware-aware design. Mamba-1 (d_state=16) and Mamba-2 (d_state=128, multi-head). Models 130M-2.8B on HuggingFace.
npx skills add https://github.com/Orchestra-Research/AI-Research-SKILLs --skill mamba-architecture
Mamba is a state-space model architecture achieving O(n) linear complexity for sequence modeling.
Installation:
# Install causal-conv1d (optional, for efficiency)
pip install causal-conv1d>=1.4.0
# Install Mamba
pip install mamba-ssm
# Or both together
pip install mamba-ssm[causal-conv1d]
Prerequisites: Linux, NVIDIA GPU, PyTorch 1.12+, CUDA 11.6+
Basic usage (Mamba block):
import torch
from mamba_ssm import Mamba
batch, length, dim = 2, 64, 16
x = torch.randn(batch, length, dim).to("cuda")
model = Mamba(
d_model=dim, # Model dimension
d_state=16, # SSM state dimension
d_conv=4, # Conv1d kernel size
expand=2 # Expansion factor
).to("cuda")
y = model(x) # O(n) complexity!
assert y.shape == x.shape
Complete LM with generation:
from mamba_ssm.models.mixer_seq_simple import MambaLMHeadModel
from mamba_ssm.models.config_mamba import MambaConfig
import torch
# Configure Mamba-2 LM
config = MambaConfig(
d_model=1024, # Hidden dimension
n_layer=24, # Number of layers
vocab_size=50277, # Vocabulary size
ssm_cfg=dict(
layer="Mamba2", # Use Mamba-2
d_state=128, # Larger state for Mamba-2
headdim=64, # Head dimension
ngroups=1 # Number of groups
)
)
model = MambaLMHeadModel(config, device="cuda", dtype=torch.float16)
# Generate text
input_ids = torch.randint(0, 1000, (1, 20), device="cuda", dtype=torch.long)
output = model.generate(
input_ids=input_ids,
max_length=100,
temperature=0.7,
top_p=0.9
)
Load from HuggingFace:
from transformers import AutoTokenizer
from mamba_ssm.models.mixer_seq_simple import MambaLMHeadModel
# Load pretrained model
model_name = "state-spaces/mamba-2.8b"
tokenizer = AutoTokenizer.from_pretrained("EleutherAI/gpt-neox-20b") # Use compatible tokenizer
model = MambaLMHeadModel.from_pretrained(model_name, device="cuda", dtype=torch.float16)
# Generate
prompt = "The future of AI is"
input_ids = tokenizer(prompt, return_tensors="pt").input_ids.to("cuda")
output_ids = model.generate(
input_ids=input_ids,
max_length=200,
temperature=0.7,
top_p=0.9,
repetition_penalty=1.2
)
generated_text = tokenizer.decode(output_ids[0])
print(generated_text)
Available models:
state-spaces/mamba-130mstate-spaces/mamba-370mstate-spaces/mamba-790mstate-spaces/mamba-1.4bstate-spaces/mamba-2.8bMamba-1 (smaller state):
from mamba_ssm import Mamba
model = Mamba(
d_model=256,
d_state=16, # Smaller state dimension
d_conv=4,
expand=2
).to("cuda")
Mamba-2 (multi-head, larger state):
from mamba_ssm import Mamba2
model = Mamba2(
d_model=256,
d_state=128, # Larger state dimension
d_conv=4,
expand=2,
headdim=64, # Head dimension for multi-head
ngroups=1 # Parallel groups
).to("cuda")
Key differences:
Generation speed comparison:
# Benchmark Mamba
python benchmarks/benchmark_generation_mamba_simple.py \
--model-name "state-spaces/mamba-2.8b" \
--prompt "The future of machine learning is" \
--topp 0.9 --temperature 0.7 --repetition-penalty 1.2
# Benchmark Transformer
python benchmarks/benchmark_generation_mamba_simple.py \
--model-name "EleutherAI/pythia-2.8b" \
--prompt "The future of machine learning is" \
--topp 0.9 --temperature 0.7 --repetition-penalty 1.2
Expected results:
Use Mamba when:
Advantages:
Use alternatives instead:
Issue: CUDA out of memory
Reduce batch size or use gradient checkpointing:
model = MambaLMHeadModel(config, device="cuda", dtype=torch.float16)
model.gradient_checkpointing_enable() # Enable checkpointing
Issue: Slow installation
Install binary wheels (not source):
pip install mamba-ssm --no-build-isolation
Issue: Missing causal-conv1d
Install separately:
pip install causal-conv1d>=1.4.0
Issue: Model not loading from HuggingFace
Use MambaLMHeadModel.from_pretrained (not AutoModel):
from mamba_ssm.models.mixer_seq_simple import MambaLMHeadModel
model = MambaLMHeadModel.from_pretrained("state-spaces/mamba-2.8b")
Selective SSM: See references/selective-ssm.md for mathematical formulation, state-space equations, and how selectivity enables O(n) complexity.
Mamba-2 architecture: See references/mamba2-details.md for multi-head structure, tensor parallelism, and distributed training setup.
Performance optimization: See references/performance.md for hardware-aware design, CUDA kernels, and memory efficiency techniques.
Performance (vs Transformers):
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Multi-objective optimization framework. NSGA-II, NSGA-III, MOEA/D, Pareto fronts, constraint handling, benchmarks (ZDT, DTLZ), for engineering design and optimization problems.
Statistical modeling toolkit. OLS, GLM, logistic, ARIMA, time series, hypothesis tests, diagnostics, AIC/BIC, for rigorous statistical inference and econometric analysis.
Add unsigned integer (uint) type support to PyTorch operators by updating AT_DISPATCH macros. Use when adding support for uint16, uint32, uint64 types to operators, kernels, or when user mentions enabling unsigned types, barebones unsigned types, or uint support.
Convert PyTorch AT_DISPATCH macros to AT_DISPATCH_V2 format in ATen C++ code. Use when porting AT_DISPATCH_ALL_TYPES_AND*, AT_DISPATCH_FLOATING_TYPES*, or other dispatch macros to the new v2 API. For ATen kernel files, CUDA kernels, and native operator implementations.
Write docstrings for PyTorch functions and methods following PyTorch conventions. Use when writing or updating docstrings in PyTorch code.
Take orchestra-research/mamba-architecture from the repository into ~/.claude/skills for personal
use, or into .claude/skills inside a project.
The agent identifies a skill by the name field in its header. Two skills with the
same name cannot sit side by side — one of them will be ignored.
The instructions reference pip.
Without those the skill loads but fails at the first command.