From c58a73ae2664ce669f720bd32fdd1427bedb2a54 Mon Sep 17 00:00:00 2001 From: gameloader Date: Wed, 21 Jan 2026 12:54:49 +0800 Subject: [PATCH] feat(mamba): add Mamba2 implementation Add initial project structure including core Mamba2 logic, entry point, and uv-based dependency management. --- .gitignore | 10 + .python-version | 1 + README.md | 0 as_mamba.py | 511 +++++++++++++++++ main.py | 43 ++ mamba2_minimal.py | 246 +++++++++ pyproject.toml | 13 + uv.lock | 1327 +++++++++++++++++++++++++++++++++++++++++++++ 8 files changed, 2151 insertions(+) create mode 100644 .gitignore create mode 100644 .python-version create mode 100644 README.md create mode 100644 as_mamba.py create mode 100644 main.py create mode 100644 mamba2_minimal.py create mode 100644 pyproject.toml create mode 100644 uv.lock diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..505a3b1 --- /dev/null +++ b/.gitignore @@ -0,0 +1,10 @@ +# Python-generated files +__pycache__/ +*.py[oc] +build/ +dist/ +wheels/ +*.egg-info + +# Virtual environments +.venv diff --git a/.python-version b/.python-version new file mode 100644 index 0000000..e4fba21 --- /dev/null +++ b/.python-version @@ -0,0 +1 @@ +3.12 diff --git a/README.md b/README.md new file mode 100644 index 0000000..e69de29 diff --git a/as_mamba.py b/as_mamba.py new file mode 100644 index 0000000..8ea998c --- /dev/null +++ b/as_mamba.py @@ -0,0 +1,511 @@ +from __future__ import annotations + +from dataclasses import asdict, dataclass +from pathlib import Path +from typing import Optional + +import matplotlib + +matplotlib.use("Agg") + +import numpy as np +import torch +import torch.nn.functional as F +from matplotlib import pyplot as plt +from mpl_toolkits.mplot3d import Axes3D # noqa: F401 +from torch import Tensor, nn + +from mamba2_minimal import InferenceCache, Mamba2, Mamba2Config, RMSNorm + + +@dataclass +class TrainConfig: + seed: int = 42 + device: str = "cuda" + batch_size: int = 128 + steps_per_epoch: int = 50 + epochs: int = 60 + warmup_epochs: int = 15 + seq_len: int = 20 + lr: float = 1e-3 + weight_decay: float = 1e-2 + dt_min: float = 1e-3 + dt_max: float = 0.06 + lambda_flow: float = 1.0 + lambda_pos: float = 1.0 + lambda_nfe: float = 0.05 + radius_min: float = 0.6 + radius_max: float = 1.4 + center_min: float = -6.0 + center_max: float = 6.0 + center_distance_min: float = 6.0 + d_model: int = 128 + n_layer: int = 4 + d_state: int = 64 + d_conv: int = 4 + expand: int = 2 + headdim: int = 32 + chunk_size: int = 1 + use_residual: bool = False + output_dir: str = "outputs" + project: str = "as-mamba" + run_name: str = "sphere-to-sphere" + val_every: int = 200 + val_samples: int = 256 + val_plot_samples: int = 16 + val_max_steps: int = 100 + + +class Mamba2Backbone(nn.Module): + def __init__(self, args: Mamba2Config, use_residual: bool = True) -> None: + super().__init__() + self.args = args + self.use_residual = use_residual + self.layers = nn.ModuleList( + [ + nn.ModuleDict( + dict( + mixer=Mamba2(args), + norm=RMSNorm(args.d_model), + ) + ) + for _ in range(args.n_layer) + ] + ) + self.norm_f = RMSNorm(args.d_model) + + def forward( + self, x: Tensor, h: Optional[list[InferenceCache]] = None + ) -> tuple[Tensor, list[InferenceCache]]: + if h is None: + h = [None for _ in range(self.args.n_layer)] + + for i, layer in enumerate(self.layers): + y, h[i] = layer["mixer"](layer["norm"](x), h[i]) + x = x + y if self.use_residual else y + + x = self.norm_f(x) + return x, h + + +class ASMamba(nn.Module): + def __init__(self, cfg: TrainConfig) -> None: + super().__init__() + self.cfg = cfg + self.dt_min = float(cfg.dt_min) + self.dt_max = float(cfg.dt_max) + + args = Mamba2Config( + d_model=cfg.d_model, + n_layer=cfg.n_layer, + d_state=cfg.d_state, + d_conv=cfg.d_conv, + expand=cfg.expand, + headdim=cfg.headdim, + chunk_size=cfg.chunk_size, + ) + self.backbone = Mamba2Backbone(args, use_residual=cfg.use_residual) + self.input_proj = nn.Linear(3, cfg.d_model) + self.delta_head = nn.Linear(cfg.d_model, 3) + self.dt_head = nn.Sequential( + nn.Linear(cfg.d_model, cfg.d_model), + nn.SiLU(), + nn.Linear(cfg.d_model, 1), + ) + + def forward( + self, x: Tensor, h: Optional[list[InferenceCache]] = None + ) -> tuple[Tensor, Tensor, list[InferenceCache]]: + x_proj = self.input_proj(x) + feats, h = self.backbone(x_proj, h) + delta = self.delta_head(feats) + dt_raw = self.dt_head(feats).squeeze(-1) + dt = torch.clamp(F.softplus(dt_raw), min=self.dt_min, max=self.dt_max) + return delta, dt, h + + def step( + self, x: Tensor, h: list[InferenceCache] + ) -> tuple[Tensor, Tensor, list[InferenceCache]]: + delta, dt, h = self.forward(x.unsqueeze(1), h) + return delta[:, 0, :], dt[:, 0], h + + def init_cache(self, batch_size: int, device: torch.device) -> list[InferenceCache]: + return [ + InferenceCache.alloc(batch_size, self.backbone.args, device=device) + for _ in range(self.backbone.args.n_layer) + ] + + +class SwanLogger: + def __init__(self, cfg: TrainConfig) -> None: + self.enabled = False + self._swan = None + self._run = None + try: + import swanlab # type: ignore + + self._swan = swanlab + self._run = self._swan.init( + project=cfg.project, + experiment_name=cfg.run_name, + config=asdict(cfg), + ) + self.enabled = True + except Exception: + self.enabled = False + + def log(self, metrics: dict, step: int | None = None) -> None: + if not self.enabled: + return + target = self._run if self._run is not None else self._swan + if step is None: + target.log(metrics) + return + try: + target.log(metrics, step=step) + except TypeError: + payload = dict(metrics) + payload["step"] = step + target.log(payload) + + def log_image( + self, key: str, image_path: Path, caption: str | None = None, step: int | None = None + ) -> None: + if not self.enabled: + return + image = self._swan.Image(str(image_path), caption=caption) + self.log({key: image}, step=step) + + def finish(self) -> None: + if not self.enabled: + return + finish = None + if self._run is not None: + finish = getattr(self._run, "finish", None) + if finish is None: + finish = getattr(self._swan, "finish", None) + if callable(finish): + finish() + + +def set_seed(seed: int) -> None: + torch.manual_seed(seed) + if torch.cuda.is_available(): + torch.cuda.manual_seed_all(seed) + + +def sample_points_in_sphere( + center: Tensor, radius: float, batch_size: int, device: torch.device +) -> Tensor: + direction = torch.randn(batch_size, 3, device=device) + direction = direction / (direction.norm(dim=-1, keepdim=True) + 1e-8) + u = torch.rand(batch_size, 1, device=device) + r = radius * torch.pow(u, 1.0 / 3.0) + return center + direction * r + + +def sample_sphere_params(cfg: TrainConfig, device: torch.device) -> tuple[Tensor, Tensor]: + center_a = torch.empty(3, device=device).uniform_(cfg.center_min, cfg.center_max) + center_b = torch.empty(3, device=device).uniform_(cfg.center_min, cfg.center_max) + for _ in range(128): + if torch.norm(center_a - center_b) >= cfg.center_distance_min: + break + center_b = torch.empty(3, device=device).uniform_(cfg.center_min, cfg.center_max) + if torch.norm(center_a - center_b) < 1e-3: + center_b = center_b + torch.tensor([cfg.center_distance_min, 0.0, 0.0], device=device) + radius_a = float(torch.empty(1).uniform_(cfg.radius_min, cfg.radius_max).item()) + radius_b = float(torch.empty(1).uniform_(cfg.radius_min, cfg.radius_max).item()) + return (center_a, torch.tensor(radius_a, device=device)), ( + center_b, + torch.tensor(radius_b, device=device), + ) + + +def sample_batch( + cfg: TrainConfig, + sphere_a: tuple[Tensor, Tensor], + sphere_b: tuple[Tensor, Tensor], + device: torch.device, +) -> tuple[Tensor, Tensor, Tensor, Tensor]: + center_a, radius_a = sphere_a + center_b, radius_b = sphere_b + x0 = sample_points_in_sphere(center_a, float(radius_a.item()), cfg.batch_size, device) + x1 = sample_points_in_sphere(center_b, float(radius_b.item()), cfg.batch_size, device) + v_gt = x1 - x0 + dt_fixed = 1.0 / cfg.seq_len + t_seq = torch.arange(cfg.seq_len, device=device) * dt_fixed + x_seq = x0[:, None, :] + t_seq[None, :, None] * v_gt[:, None, :] + return x0, x1, x_seq, t_seq + + +def compute_losses( + delta: Tensor, + dt: Tensor, + x_seq: Tensor, + x0: Tensor, + v_gt: Tensor, + t_seq: Tensor, + cfg: TrainConfig, +) -> tuple[Tensor, Tensor, Tensor]: + target_disp = v_gt[:, None, :] * dt.unsqueeze(-1) + flow_loss = F.mse_loss(delta, target_disp) + + t_next = t_seq[None, :, None] + dt.unsqueeze(-1) + t_next = torch.clamp(t_next, 0.0, 1.0) + x_target = x0[:, None, :] + t_next * v_gt[:, None, :] + x_next_pred = x_seq + delta + pos_loss = F.mse_loss(x_next_pred, x_target) + + nfe_loss = (-torch.log(dt)).mean() + return flow_loss, pos_loss, nfe_loss + + +def validate( + model: ASMamba, + cfg: TrainConfig, + sphere_a: tuple[Tensor, Tensor], + sphere_b: tuple[Tensor, Tensor], + device: torch.device, + logger: SwanLogger, + step: int, +) -> None: + model.eval() + center_b, radius_b = sphere_b + + with torch.no_grad(): + x0 = sample_points_in_sphere( + sphere_a[0], float(sphere_a[1].item()), cfg.val_samples, device + ) + traj = rollout_trajectory(model, x0, max_steps=cfg.val_max_steps) + + x_final = traj[:, -1, :] + center_b_cpu = center_b.detach().cpu() + radius_b_cpu = radius_b.detach().cpu() + dist = torch.linalg.norm(x_final - center_b_cpu, dim=-1) + inside = dist <= radius_b_cpu + + logger.log( + { + "val/inside_ratio": float(inside.float().mean().item()), + "val/inside_count": float(inside.float().sum().item()), + "val/final_dist_mean": float(dist.mean().item()), + "val/final_dist_min": float(dist.min().item()), + "val/final_dist_max": float(dist.max().item()), + }, + step=step, + ) + + if cfg.val_plot_samples > 0: + count = min(cfg.val_plot_samples, traj.shape[0]) + if count == 0: + model.train() + return + indices = torch.linspace(0, traj.shape[0] - 1, steps=count).long() + traj_plot = traj[indices] + save_path = Path(cfg.output_dir) / f"val_traj_step_{step:06d}.png" + plot_trajectories( + traj_plot, + sphere_a, + sphere_b, + save_path, + title=f"Validation Trajectories (step {step})", + ) + ratio = float(inside.float().mean().item()) + logger.log_image( + "val/trajectory", + save_path, + caption=f"step {step} | inside_ratio={ratio:.3f}", + step=step, + ) + + model.train() + + +def train(cfg: TrainConfig) -> tuple[ASMamba, tuple[Tensor, Tensor], tuple[Tensor, Tensor]]: + device = torch.device(cfg.device if torch.cuda.is_available() else "cpu") + set_seed(cfg.seed) + output_dir = Path(cfg.output_dir) + output_dir.mkdir(parents=True, exist_ok=True) + + model = ASMamba(cfg).to(device) + optimizer = torch.optim.AdamW(model.parameters(), lr=cfg.lr, weight_decay=cfg.weight_decay) + logger = SwanLogger(cfg) + + sphere_a, sphere_b = sample_sphere_params(cfg, device) + center_a, radius_a = sphere_a + center_b, radius_b = sphere_b + center_dist = torch.norm(center_a - center_b).item() + logger.log( + { + "sphere_a/radius": float(radius_a.item()), + "sphere_b/radius": float(radius_b.item()), + "sphere_a/center_x": float(center_a[0].item()), + "sphere_a/center_y": float(center_a[1].item()), + "sphere_a/center_z": float(center_a[2].item()), + "sphere_b/center_x": float(center_b[0].item()), + "sphere_b/center_y": float(center_b[1].item()), + "sphere_b/center_z": float(center_b[2].item()), + "sphere/center_dist": float(center_dist), + } + ) + + global_step = 0 + for epoch in range(cfg.epochs): + warmup = epoch < cfg.warmup_epochs + model.train() + for p in model.dt_head.parameters(): + p.requires_grad = not warmup + + for _ in range(cfg.steps_per_epoch): + x0, x1, x_seq, t_seq = sample_batch(cfg, sphere_a, sphere_b, device) + v_gt = x1 - x0 + + delta, dt, _ = model(x_seq) + if warmup: + dt = torch.full_like(dt, 1.0 / cfg.seq_len) + + flow_loss, pos_loss, nfe_loss = compute_losses( + delta=delta, + dt=dt, + x_seq=x_seq, + x0=x0, + v_gt=v_gt, + t_seq=t_seq, + cfg=cfg, + ) + + loss = cfg.lambda_flow * flow_loss + cfg.lambda_pos * pos_loss + if not warmup: + loss = loss + cfg.lambda_nfe * nfe_loss + + optimizer.zero_grad(set_to_none=True) + loss.backward() + optimizer.step() + + if global_step % 10 == 0: + logger.log( + { + "loss/total": float(loss.item()), + "loss/flow": float(flow_loss.item()), + "loss/pos": float(pos_loss.item()), + "loss/nfe": float(nfe_loss.item()), + "dt/mean": float(dt.mean().item()), + "dt/min": float(dt.min().item()), + "dt/max": float(dt.max().item()), + "stage": 0 if warmup else 1, + }, + step=global_step, + ) + + if cfg.val_every > 0 and global_step > 0 and global_step % cfg.val_every == 0: + validate(model, cfg, sphere_a, sphere_b, device, logger, global_step) + global_step += 1 + + logger.finish() + return model, sphere_a, sphere_b + + +def rollout_trajectory( + model: ASMamba, + x0: Tensor, + max_steps: int = 100, +) -> Tensor: + device = x0.device + model.eval() + h = model.init_cache(batch_size=x0.shape[0], device=device) + x = x0 + total_time = torch.zeros(x0.shape[0], device=device) + traj = [x0.detach().cpu()] + + with torch.no_grad(): + for _ in range(max_steps): + delta, dt, h = model.step(x, h) + dt = torch.clamp(dt, min=model.dt_min, max=model.dt_max) + remaining = 1.0 - total_time + overshoot = dt > remaining + if overshoot.any(): + scale = (remaining / dt).unsqueeze(-1) + delta = torch.where(overshoot.unsqueeze(-1), delta * scale, delta) + dt = torch.where(overshoot, remaining, dt) + + x = x + delta + total_time = total_time + dt + traj.append(x.detach().cpu()) + + if torch.all(total_time >= 1.0 - 1e-6): + break + + return torch.stack(traj, dim=1) + + +def sphere_wireframe( + center: Tensor, radius: float, u_steps: int = 24, v_steps: int = 12 +) -> tuple[np.ndarray, np.ndarray, np.ndarray]: + center_np = center.detach().cpu().numpy() + u = np.linspace(0, 2 * np.pi, u_steps) + v = np.linspace(0, np.pi, v_steps) + x = center_np[0] + radius * np.outer(np.cos(u), np.sin(v)) + y = center_np[1] + radius * np.outer(np.sin(u), np.sin(v)) + z = center_np[2] + radius * np.outer(np.ones_like(u), np.cos(v)) + return x, y, z + + +def plot_trajectories( + traj: Tensor, + sphere_a: tuple[Tensor, Tensor], + sphere_b: tuple[Tensor, Tensor], + save_path: Path, + title: str = "AS-Mamba Trajectories", +) -> None: + traj = traj.detach().cpu() + if traj.dim() == 2: + traj = traj.unsqueeze(0) + traj_np = traj.numpy() + + fig = plt.figure(figsize=(7, 6)) + ax = fig.add_subplot(111, projection="3d") + + for i in range(traj_np.shape[0]): + ax.plot( + traj_np[i, :, 0], + traj_np[i, :, 1], + traj_np[i, :, 2], + color="green", + alpha=0.6, + ) + + starts = traj_np[:, 0, :] + ends = traj_np[:, -1, :] + ax.scatter(starts[:, 0], starts[:, 1], starts[:, 2], color="blue", s=20, label="Start") + ax.scatter(ends[:, 0], ends[:, 1], ends[:, 2], color="red", s=20, label="End") + + center_a, radius_a = sphere_a + center_b, radius_b = sphere_b + x_a, y_a, z_a = sphere_wireframe(center_a, float(radius_a.item())) + x_b, y_b, z_b = sphere_wireframe(center_b, float(radius_b.item())) + ax.plot_wireframe(x_a, y_a, z_a, color="blue", alpha=0.15, linewidth=0.5) + ax.plot_wireframe(x_b, y_b, z_b, color="red", alpha=0.15, linewidth=0.5) + + ax.set_title(title) + ax.set_xlabel("X") + ax.set_ylabel("Y") + ax.set_zlabel("Z") + ax.legend(loc="best") + fig.tight_layout() + fig.savefig(save_path, dpi=160) + plt.close(fig) + + +def run_training_and_plot(cfg: TrainConfig) -> Path: + model, sphere_a, sphere_b = train(cfg) + device = next(model.parameters()).device + + plot_samples = max(1, cfg.val_plot_samples) + x0 = sample_points_in_sphere( + sphere_a[0], float(sphere_a[1].item()), plot_samples, device + ) + traj = rollout_trajectory(model, x0, max_steps=cfg.val_max_steps) + output_dir = Path(cfg.output_dir) + save_path = output_dir / "as_mamba_trajectory.png" + plot_trajectories(traj, sphere_a, sphere_b, save_path) + return save_path diff --git a/main.py b/main.py new file mode 100644 index 0000000..1e49981 --- /dev/null +++ b/main.py @@ -0,0 +1,43 @@ +import argparse + +from as_mamba import TrainConfig, run_training_and_plot + + +def build_parser() -> argparse.ArgumentParser: + parser = argparse.ArgumentParser(description="Train AS-Mamba on sphere-to-sphere flow.") + parser.add_argument("--epochs", type=int, default=None) + parser.add_argument("--warmup-epochs", type=int, default=None) + parser.add_argument("--batch-size", type=int, default=None) + parser.add_argument("--steps-per-epoch", type=int, default=None) + parser.add_argument("--seq-len", type=int, default=None) + parser.add_argument("--lr", type=float, default=None) + parser.add_argument("--device", type=str, default=None) + parser.add_argument("--output-dir", type=str, default=None) + parser.add_argument("--project", type=str, default=None) + parser.add_argument("--run-name", type=str, default=None) + parser.add_argument("--val-every", type=int, default=None) + parser.add_argument("--val-samples", type=int, default=None) + parser.add_argument("--val-plot-samples", type=int, default=None) + parser.add_argument("--val-max-steps", type=int, default=None) + parser.add_argument("--center-min", type=float, default=None) + parser.add_argument("--center-max", type=float, default=None) + parser.add_argument("--center-distance-min", type=float, default=None) + parser.add_argument("--use-residual", action="store_true") + return parser + + +def main() -> None: + parser = build_parser() + args = parser.parse_args() + + cfg = TrainConfig() + for key, value in vars(args).items(): + if value is not None: + setattr(cfg, key.replace("-", "_"), value) + + plot_path = run_training_and_plot(cfg) + print(f"Saved trajectory plot to {plot_path}") + + +if __name__ == "__main__": + main() diff --git a/mamba2_minimal.py b/mamba2_minimal.py new file mode 100644 index 0000000..8ccae85 --- /dev/null +++ b/mamba2_minimal.py @@ -0,0 +1,246 @@ +""" +mamba2-minimal +============== + +Minimal Mamba-2 implementation for sequence modeling. +Reference: https://arxiv.org/abs/2405.21060 +""" + +from __future__ import annotations + +import math +from dataclasses import dataclass +from typing import NamedTuple, TypeAlias + +import torch +import torch.nn.functional as F +from einops import rearrange, repeat +from torch import Tensor, nn + +Device: TypeAlias = str | torch.device | None + + +@dataclass +class Mamba2Config: + d_model: int + n_layer: int = 4 + d_state: int = 64 + d_conv: int = 4 + expand: int = 2 + headdim: int = 32 + chunk_size: int = 1 + + def __post_init__(self) -> None: + self.d_inner = self.expand * self.d_model + if self.d_inner % self.headdim != 0: + raise ValueError("d_inner must be divisible by headdim") + self.nheads = self.d_inner // self.headdim + + +class InferenceCache(NamedTuple): + conv_state: Tensor + ssm_state: Tensor + + @staticmethod + def alloc(batch_size: int, args: Mamba2Config, device: Device = None) -> "InferenceCache": + return InferenceCache( + torch.zeros( + batch_size, args.d_inner + 2 * args.d_state, args.d_conv, device=device + ), + torch.zeros( + batch_size, args.nheads, args.headdim, args.d_state, device=device + ), + ) + + +class Mamba2(nn.Module): + def __init__(self, args: Mamba2Config, device: Device = None) -> None: + super().__init__() + self.args = args + self.device = device + + d_in_proj = 2 * args.d_inner + 2 * args.d_state + args.nheads + self.in_proj = nn.Linear(args.d_model, d_in_proj, bias=False, device=device) + + conv_dim = args.d_inner + 2 * args.d_state + self.conv1d = nn.Conv1d( + in_channels=conv_dim, + out_channels=conv_dim, + kernel_size=args.d_conv, + groups=conv_dim, + padding=args.d_conv - 1, + device=device, + ) + + self.dt_bias = nn.Parameter(torch.empty(args.nheads, device=device)) + self.A_log = nn.Parameter(torch.empty(args.nheads, device=device)) + self.D = nn.Parameter(torch.empty(args.nheads, device=device)) + self.norm = RMSNorm(args.d_inner, device=device) + self.out_proj = nn.Linear(args.d_inner, args.d_model, bias=False, device=device) + self.reset_parameters() + + def reset_parameters(self) -> None: + dt_min, dt_max = 1e-3, 1e-1 + device = self.dt_bias.device + dtype = self.dt_bias.dtype + dt = torch.exp( + torch.rand(self.args.nheads, device=device, dtype=dtype) + * (math.log(dt_max) - math.log(dt_min)) + + math.log(dt_min) + ) + with torch.no_grad(): + self.dt_bias.copy_(torch.log(torch.expm1(dt))) + self.A_log.copy_( + torch.log( + torch.arange( + 1, self.args.nheads + 1, device=device, dtype=self.A_log.dtype + ) + ) + ) + self.D.fill_(1.0) + + def forward(self, u: Tensor, h: InferenceCache | None = None): + if h is not None: + return self.step(u, h) + + A = -torch.exp(self.A_log) + zxbcdt = self.in_proj(u) + z, xBC, dt = torch.split( + zxbcdt, + [ + self.args.d_inner, + self.args.d_inner + 2 * self.args.d_state, + self.args.nheads, + ], + dim=-1, + ) + dt = F.softplus(dt + self.dt_bias) + + xBC_t = rearrange(xBC, "b l d -> b d l") + if u.shape[1] >= self.args.d_conv: + conv_state = xBC_t[:, :, -self.args.d_conv :] + else: + conv_state = F.pad(xBC_t, (self.args.d_conv - u.shape[1], 0)) + + xBC = silu( + self.conv1d(xBC.transpose(1, 2)).transpose(1, 2)[:, : u.shape[1], :] + ) + x, B, C = torch.split( + xBC, [self.args.d_inner, self.args.d_state, self.args.d_state], dim=-1 + ) + x = rearrange(x, "b l (h p) -> b l h p", p=self.args.headdim) + y, ssm_state = ssd( + x * dt.unsqueeze(-1), + A * dt, + rearrange(B, "b l n -> b l 1 n"), + rearrange(C, "b l n -> b l 1 n"), + self.args.chunk_size, + device=x.device, + ) + y = y + x * self.D.unsqueeze(-1) + y = rearrange(y, "b l h p -> b l (h p)") + y = self.norm(y, z) + y = self.out_proj(y) + + h = InferenceCache(conv_state, ssm_state) + return y, h + + def step(self, u: Tensor, h: InferenceCache): + assert u.shape[1] == 1, "Only one token can be decoded per inference step" + + zxbcdt = self.in_proj(u.squeeze(1)) + z, xBC, dt = torch.split( + zxbcdt, + [ + self.args.d_inner, + self.args.d_inner + 2 * self.args.d_state, + self.args.nheads, + ], + dim=-1, + ) + + h.conv_state.copy_(torch.roll(h.conv_state, shifts=-1, dims=-1)) + h.conv_state[:, :, -1] = xBC + xBC = torch.sum( + h.conv_state * rearrange(self.conv1d.weight, "d 1 w -> d w"), dim=-1 + ) + xBC += self.conv1d.bias + xBC = silu(xBC) + + x, B, C = torch.split( + xBC, [self.args.d_inner, self.args.d_state, self.args.d_state], dim=-1 + ) + A = -torch.exp(self.A_log) + + dt = F.softplus(dt + self.dt_bias) + dA = torch.exp(dt * A) + x = rearrange(x, "b (h p) -> b h p", p=self.args.headdim) + dBx = torch.einsum("bh, bn, bhp -> bhpn", dt, B, x) + h.ssm_state.copy_(h.ssm_state * rearrange(dA, "b h -> b h 1 1") + dBx) + y = torch.einsum("bhpn, bn -> bhp", h.ssm_state, C) + y = y + rearrange(self.D, "h -> h 1") * x + y = rearrange(y, "b h p -> b (h p)") + y = self.norm(y, z) + y = self.out_proj(y) + + return y.unsqueeze(1), h + + +def segsum(x: Tensor, device: Device = None) -> Tensor: + if device is None: + device = x.device + T = x.size(-1) + x = repeat(x, "... d -> ... d e", e=T) + mask = torch.tril(torch.ones(T, T, dtype=torch.bool, device=device), diagonal=-1) + x = x.masked_fill(~mask, 0) + x_segsum = torch.cumsum(x, dim=-2) + mask = torch.tril(torch.ones(T, T, dtype=torch.bool, device=device), diagonal=0) + x_segsum = x_segsum.masked_fill(~mask, -torch.inf) + return x_segsum + + +def ssd(x, A, B, C, chunk_size, initial_states=None, device: Device = None): + assert x.shape[1] % chunk_size == 0 + + x, A, B, C = [ + rearrange(m, "b (c l) ... -> b c l ...", l=chunk_size) for m in (x, A, B, C) + ] + + A = rearrange(A, "b c l h -> b h c l") + A_cumsum = torch.cumsum(A, dim=-1) + + L = torch.exp(segsum(A, device=device)) + Y_diag = torch.einsum("bclhn, bcshn, bhcls, bcshp -> bclhp", C, B, L, x) + + decay_states = torch.exp(A_cumsum[:, :, :, -1:] - A_cumsum) + states = torch.einsum("bclhn, bhcl, bclhp -> bchpn", B, decay_states, x) + + if initial_states is None: + initial_states = torch.zeros_like(states[:, :1]) + states = torch.cat([initial_states, states], dim=1) + decay_chunk = torch.exp(segsum(F.pad(A_cumsum[:, :, :, -1], (1, 0)), device=device)) + new_states = torch.einsum("bhzc, bchpn -> bzhpn", decay_chunk, states) + states, final_state = new_states[:, :-1], new_states[:, -1] + + state_decay_out = torch.exp(A_cumsum) + Y_off = torch.einsum("bclhn, bchpn, bhcl -> bclhp", C, states, state_decay_out) + + Y = rearrange(Y_diag + Y_off, "b c l h p -> b (c l) h p") + + return Y, final_state + + +class RMSNorm(nn.Module): + def __init__(self, d: int, eps: float = 1e-5, device: Device = None) -> None: + super().__init__() + self.eps = eps + self.weight = nn.Parameter(torch.ones(d, device=device)) + + def forward(self, x: Tensor, z: Tensor | None = None) -> Tensor: + if z is not None: + x = x * silu(z) + return x * torch.rsqrt(x.pow(2).mean(-1, keepdim=True) + self.eps) * self.weight + + +def silu(x: Tensor) -> Tensor: + return x * torch.sigmoid(x) diff --git a/pyproject.toml b/pyproject.toml new file mode 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