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model.py
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| 1 |
+
"""
|
| 2 |
+
COLM Model Components
|
| 3 |
+
=====================
|
| 4 |
+
Complex Oscillating Language Model — all neural network modules.
|
| 5 |
+
|
| 6 |
+
Components:
|
| 7 |
+
- ComplexRMSNorm: magnitude normalization preserving phase
|
| 8 |
+
- ComplexOscillator: sin(W⊙Z+B)·tanh(Z) oscillating neuron
|
| 9 |
+
- ComplexMixer: fixed unitary cross-dimension routing
|
| 10 |
+
- OscillatingCausalScanner: O(N) causal sequence scanner
|
| 11 |
+
- SparseGate: smooth sigmoid voltage-spike gate
|
| 12 |
+
- ZeroLinearBlock: scanner + oscillating MLP block
|
| 13 |
+
- COLM: full autoregressive model
|
| 14 |
+
"""
|
| 15 |
+
|
| 16 |
+
import math
|
| 17 |
+
import torch
|
| 18 |
+
import torch.nn as nn
|
| 19 |
+
from torch.nn import functional as F
|
| 20 |
+
|
| 21 |
+
|
| 22 |
+
# =============================================================================
|
| 23 |
+
# COMPLEX RMSNORM — norm the magnitude, preserve the angle
|
| 24 |
+
# =============================================================================
|
| 25 |
+
|
| 26 |
+
class ComplexRMSNorm(nn.Module):
|
| 27 |
+
"""RMSNorm adapted for complex tensors.
|
| 28 |
+
Normalizes the magnitude while preserving phase angles.
|
| 29 |
+
Learnable weight is real-valued (scales magnitude)."""
|
| 30 |
+
|
| 31 |
+
def __init__(self, dim, eps=1e-6):
|
| 32 |
+
super().__init__()
|
| 33 |
+
self.eps = eps
|
| 34 |
+
self.weight = nn.Parameter(torch.ones(dim))
|
| 35 |
+
|
| 36 |
+
def forward(self, Z):
|
| 37 |
+
rms = torch.rsqrt((Z.real.square() + Z.imag.square()).mean(-1, keepdim=True) + self.eps)
|
| 38 |
+
return Z * (rms * self.weight)
|
| 39 |
+
|
| 40 |
+
|
| 41 |
+
# =============================================================================
|
| 42 |
+
# COMPLEX OSCILLATOR — sin(W⊙Z+B)·tanh(Z), W,B ∈ ℂ
|
| 43 |
+
# =============================================================================
|
| 44 |
+
|
| 45 |
+
def _softcap_imag(z, limit=6.0):
|
| 46 |
+
return torch.complex(z.real, limit * torch.tanh(z.imag / limit))
|
| 47 |
+
|
| 48 |
+
|
| 49 |
+
def safe_abs(Z, eps=1e-12):
|
| 50 |
+
"""Gradient-safe complex magnitude. torch.abs() on complex is sqrt(re²+im²),
|
| 51 |
+
and sqrt'(0) = inf. Adding eps inside the sqrt prevents inf gradients
|
| 52 |
+
when the sparse gate zeros out features. Forward values are unchanged
|
| 53 |
+
to ~6 decimal places."""
|
| 54 |
+
return torch.sqrt(Z.real.square() + Z.imag.square() + eps)
|
| 55 |
+
|
| 56 |
+
|
| 57 |
+
class ComplexOscillator(nn.Module):
|
| 58 |
+
"""Native Complex Oscillating Neuron.
|
| 59 |
+
W = ω + iφ (frequency + phase as single complex param)
|
| 60 |
+
B = real_bias + i·imag_bias (complex baseline)
|
| 61 |
+
|
| 62 |
+
PyTorch supports complex sin() and tanh() natively.
|
| 63 |
+
Wirtinger derivatives flow through automatically."""
|
| 64 |
+
|
| 65 |
+
def __init__(self, dim):
|
| 66 |
+
super().__init__()
|
| 67 |
+
# W: real part = frequency (ω), imag part = phase (φ)
|
| 68 |
+
omega = torch.randn(dim) * 0.1 + 1.0
|
| 69 |
+
phi = torch.randn(dim) * 0.1
|
| 70 |
+
self.W = nn.Parameter(torch.complex(omega, phi))
|
| 71 |
+
|
| 72 |
+
# B: complex baseline
|
| 73 |
+
self.B = nn.Parameter(torch.complex(torch.zeros(dim), torch.zeros(dim)))
|
| 74 |
+
|
| 75 |
+
def forward(self, Z):
|
| 76 |
+
# Z is cfloat. Inductor can fuse this into a single kernel.
|
| 77 |
+
Z = _softcap_imag(Z, limit=math.pi/2 - 0.2) # stays below first pole at π/2
|
| 78 |
+
WZ = _softcap_imag(self.W * Z + self.B, limit=6.0)
|
| 79 |
+
return torch.sin(WZ) * torch.tanh(Z)
|
| 80 |
+
|
| 81 |
+
|
| 82 |
+
# =============================================================================
|
| 83 |
+
# COMPLEX MIXER — fixed unitary matrix, zero learnable params
|
| 84 |
+
# =============================================================================
|
| 85 |
+
|
| 86 |
+
class ComplexMixer(nn.Module):
|
| 87 |
+
"""Zero-parameter cross-dimension routing via fixed unitary matrix.
|
| 88 |
+
QR-orthogonalized complex matrix ensures energy preservation.
|
| 89 |
+
|
| 90 |
+
NOTE: This is O(D²) per token — the FWHT was O(D log D).
|
| 91 |
+
Chosen for torch.compile compatibility over raw compute efficiency.
|
| 92 |
+
If compile handles FWHT well on your hardware, swap back."""
|
| 93 |
+
|
| 94 |
+
def __init__(self, dim):
|
| 95 |
+
super().__init__()
|
| 96 |
+
# Random complex matrix → QR decomposition → unitary Q
|
| 97 |
+
real_part = torch.randn(dim, dim)
|
| 98 |
+
imag_part = torch.randn(dim, dim)
|
| 99 |
+
complex_mat = torch.complex(real_part, imag_part)
|
| 100 |
+
q, _ = torch.linalg.qr(complex_mat)
|
| 101 |
+
self.register_buffer('mix_matrix', q)
|
| 102 |
+
|
| 103 |
+
def forward(self, Z):
|
| 104 |
+
# Z: (B, T, D) @ (D, D) -> (B, T, D)
|
| 105 |
+
return Z @ self.mix_matrix.T
|
| 106 |
+
|
| 107 |
+
|
| 108 |
+
# =============================================================================
|
| 109 |
+
# O(N) COMPLEX OSCILLATOR CAUSAL SCANNER — replaces O(N²) attention
|
| 110 |
+
# =============================================================================
|
| 111 |
+
|
| 112 |
+
class OscillatingCausalScanner(nn.Module):
|
| 113 |
+
"""O(N) sequence routing replacing scaled_dot_product_attention.
|
| 114 |
+
|
| 115 |
+
Uses ComplexOscillator to generate:
|
| 116 |
+
- gate: complex decay (magnitude=retention, angle=phase rotation)
|
| 117 |
+
- val: complex value signal
|
| 118 |
+
Then accumulates causally across sequence length T in O(N) time.
|
| 119 |
+
|
| 120 |
+
This is mathematically related to Linear Attention / State Space Models
|
| 121 |
+
(Mamba, RWKV, Griffin) but powered entirely by oscillating neurons."""
|
| 122 |
+
|
| 123 |
+
def __init__(self, dim, clamp=70.0):
|
| 124 |
+
super().__init__()
|
| 125 |
+
self.clamp = clamp
|
| 126 |
+
self.osc_gate = ComplexOscillator(dim)
|
| 127 |
+
self.osc_val = ComplexOscillator(dim)
|
| 128 |
+
self.osc_out = ComplexOscillator(dim)
|
| 129 |
+
|
| 130 |
+
# Tame the gate's initial W so first gates aren't too aggressive
|
| 131 |
+
with torch.no_grad():
|
| 132 |
+
self.osc_gate.W.data = torch.complex(
|
| 133 |
+
torch.empty(dim).uniform_(-0.05, 0.05),
|
| 134 |
+
torch.empty(dim).uniform_(-0.05, 0.05)
|
| 135 |
+
)
|
| 136 |
+
|
| 137 |
+
def forward(self, Z):
|
| 138 |
+
# Z: (B, T, D) complex
|
| 139 |
+
gate = self.osc_gate(Z)
|
| 140 |
+
val = self.osc_val(Z)
|
| 141 |
+
|
| 142 |
+
decay = torch.sigmoid(gate.real)
|
| 143 |
+
phase = math.pi * torch.tanh(gate.imag / math.pi)
|
| 144 |
+
|
| 145 |
+
# Build log_gate directly — no torch.polar, no .angle()
|
| 146 |
+
# This avoids the atan2(0,0) NaN gradient when decay → 0
|
| 147 |
+
log_gate = torch.complex(torch.log(decay.clamp(min=1e-8)), phase)
|
| 148 |
+
|
| 149 |
+
cum_log = torch.cumsum(log_gate, dim=1)
|
| 150 |
+
|
| 151 |
+
CLAMP = self.clamp
|
| 152 |
+
exp_real = cum_log.real.clamp(min=-CLAMP)
|
| 153 |
+
exp_cum = torch.exp(torch.complex(exp_real, cum_log.imag))
|
| 154 |
+
|
| 155 |
+
neg_real = (-cum_log.real).clamp(max=CLAMP)
|
| 156 |
+
exp_neg = torch.exp(torch.complex(neg_real, -cum_log.imag))
|
| 157 |
+
|
| 158 |
+
H = exp_cum * torch.cumsum(val * exp_neg, dim=1)
|
| 159 |
+
|
| 160 |
+
# GRADIENT ECOLOGY: soft magnitude channel (preserves phase, smooth gradients)
|
| 161 |
+
H_mag = safe_abs(H).clamp(min=1e-8)
|
| 162 |
+
H = H * (torch.tanh(H_mag / 8.0) / H_mag)
|
| 163 |
+
return self.osc_out(H)
|
| 164 |
+
|
| 165 |
+
|
| 166 |
+
# =============================================================================
|
| 167 |
+
# SMOOTH SPARSE GATE — proper sigmoid
|
| 168 |
+
# =============================================================================
|
| 169 |
+
|
| 170 |
+
class SparseGate(nn.Module):
|
| 171 |
+
"""Decoupled spike gate with learnable temperature.
|
| 172 |
+
Uses smooth sigmoid for clean gradients.
|
| 173 |
+
|
| 174 |
+
voltage = sigmoid(gate_w * x)
|
| 175 |
+
spike = sigmoid((voltage - threshold) * temperature)
|
| 176 |
+
output = x * spike
|
| 177 |
+
"""
|
| 178 |
+
|
| 179 |
+
def __init__(self, num_features, threshold_init=0.3):
|
| 180 |
+
super().__init__()
|
| 181 |
+
self.gate_w = nn.Parameter(torch.ones(num_features) * 0.25)
|
| 182 |
+
self.threshold = nn.Parameter(torch.full((num_features,), threshold_init))
|
| 183 |
+
self.temperature = nn.Parameter(torch.ones(num_features) * 10.0)
|
| 184 |
+
|
| 185 |
+
def forward(self, x):
|
| 186 |
+
voltage = torch.sigmoid(self.gate_w * x)
|
| 187 |
+
spike = torch.sigmoid((voltage - self.threshold) * self.temperature)
|
| 188 |
+
return x * spike
|
| 189 |
+
|
| 190 |
+
@torch.no_grad()
|
| 191 |
+
def get_sparsity(self, x=None):
|
| 192 |
+
if x is None:
|
| 193 |
+
return 0.0
|
| 194 |
+
voltage = torch.sigmoid(self.gate_w * x)
|
| 195 |
+
return (voltage > self.threshold).float().mean().item()
|
| 196 |
+
|
| 197 |
+
|
| 198 |
+
# =============================================================================
|
| 199 |
+
# ZERO-LINEAR BLOCK — scanner + complex mixer/oscillator MLP
|
| 200 |
+
# =============================================================================
|
| 201 |
+
|
| 202 |
+
class ZeroLinearBlock(nn.Module):
|
| 203 |
+
"""Complete transformer-replacement block.
|
| 204 |
+
|
| 205 |
+
Sub-block 1: OscillatingCausalScanner (replaces attention)
|
| 206 |
+
Sub-block 2: ComplexMixer→Oscillator→Mixer→Oscillator (replaces MLP)
|
| 207 |
+
|
| 208 |
+
Both sub-blocks use pre-norm residual connections.
|
| 209 |
+
Complex sinc resonance coupling at the end."""
|
| 210 |
+
|
| 211 |
+
def __init__(self, layer_idx, cfg):
|
| 212 |
+
super().__init__()
|
| 213 |
+
dim = cfg.n_embd
|
| 214 |
+
|
| 215 |
+
self.norm1 = ComplexRMSNorm(dim)
|
| 216 |
+
self.scanner = OscillatingCausalScanner(dim, clamp=cfg.scanner_clamp)
|
| 217 |
+
|
| 218 |
+
self.norm2 = ComplexRMSNorm(dim)
|
| 219 |
+
self.mix1 = ComplexMixer(dim)
|
| 220 |
+
self.osc1 = ComplexOscillator(dim)
|
| 221 |
+
self.mix2 = ComplexMixer(dim)
|
| 222 |
+
self.osc2 = ComplexOscillator(dim)
|
| 223 |
+
self.sparse_gate = SparseGate(dim)
|
| 224 |
+
self.last_mlp_mag = None
|
| 225 |
+
self.last_gate_open = None
|
| 226 |
+
|
| 227 |
+
alpha_init = cfg.coupling_alpha_init[layer_idx]
|
| 228 |
+
self.coupling_alpha = nn.Parameter(
|
| 229 |
+
torch.complex(torch.tensor(alpha_init), torch.tensor(0.0))
|
| 230 |
+
)
|
| 231 |
+
print(f" Layer {layer_idx}: α = {alpha_init:.4f} (complex: {self.coupling_alpha.item()})")
|
| 232 |
+
|
| 233 |
+
def forward(self, Z):
|
| 234 |
+
# Sub-block 1: O(N) Causal Scanner (replaces attention)
|
| 235 |
+
Z_res = Z
|
| 236 |
+
Z_normed = self.norm1(Z)
|
| 237 |
+
Z = Z_res + self.scanner(Z_normed)
|
| 238 |
+
|
| 239 |
+
# Sub-block 2: Oscillating Zero-Linear "MLP"
|
| 240 |
+
Z_res = Z
|
| 241 |
+
Z_normed = self.norm2(Z)
|
| 242 |
+
Z_mlp = self.mix1(Z_normed)
|
| 243 |
+
Z_mlp = self.osc1(Z_mlp)
|
| 244 |
+
Z_mlp = self.mix2(Z_mlp)
|
| 245 |
+
Z_mlp = self.osc2(Z_mlp)
|
| 246 |
+
|
| 247 |
+
# Voltage spike gate — feature-level sparsity
|
| 248 |
+
mag = safe_abs(Z_mlp)
|
| 249 |
+
self.last_mlp_mag = mag.detach()
|
| 250 |
+
# Compute spike directly for clean logging
|
| 251 |
+
sg = self.sparse_gate
|
| 252 |
+
voltage = torch.sigmoid(sg.gate_w * mag)
|
| 253 |
+
spike = torch.sigmoid((voltage - sg.threshold) * sg.temperature)
|
| 254 |
+
self.last_gate_open = spike.detach()
|
| 255 |
+
Z_mlp = spike * Z_mlp # gate on spike, apply to full complex
|
| 256 |
+
|
| 257 |
+
# Complex sinc resonance coupling
|
| 258 |
+
mag = safe_abs(Z_mlp)
|
| 259 |
+
sinc_coupling = torch.sinc(mag / math.pi) * Z_mlp
|
| 260 |
+
|
| 261 |
+
Z = Z_res + self.coupling_alpha * sinc_coupling
|
| 262 |
+
|
| 263 |
+
return Z
|
| 264 |
+
|
| 265 |
+
|
| 266 |
+
# =============================================================================
|
| 267 |
+
# COLM — Complex Oscillating Language Model
|
| 268 |
+
# =============================================================================
|
| 269 |
+
|
| 270 |
+
class COLM(nn.Module):
|
| 271 |
+
"""Complex Oscillating Language Model.
|
| 272 |
+
|
| 273 |
+
Architecture:
|
| 274 |
+
- Real embedding → linear projection → complex conversion
|
| 275 |
+
- ComplexOscillator initial oscillation
|
| 276 |
+
- N × ZeroLinearBlock (scanner + oscillating MLP)
|
| 277 |
+
- Complex → real concatenation → linear head
|
| 278 |
+
"""
|
| 279 |
+
|
| 280 |
+
def __init__(self, cfg):
|
| 281 |
+
super().__init__()
|
| 282 |
+
self.cfg = cfg
|
| 283 |
+
|
| 284 |
+
# Embedding: real tokens → thin embed → linear up → convert to complex
|
| 285 |
+
self.thin_embed = nn.Embedding(cfg.vocab_size, cfg.embed_dim)
|
| 286 |
+
self.embed_up = nn.Linear(cfg.embed_dim, cfg.n_embd, bias=False)
|
| 287 |
+
# Initial oscillation in real space before complex conversion
|
| 288 |
+
self.embed_osc = ComplexOscillator(cfg.n_embd)
|
| 289 |
+
|
| 290 |
+
# Position embedding (real-valued, added to real part)
|
| 291 |
+
self.position_emb = nn.Embedding(cfg.block_size, cfg.n_embd)
|
| 292 |
+
|
| 293 |
+
self.ln_pre = ComplexRMSNorm(cfg.n_embd)
|
| 294 |
+
self.blocks = nn.ModuleList([ZeroLinearBlock(i, cfg) for i in range(cfg.n_layer)])
|
| 295 |
+
self.ln_f = ComplexRMSNorm(cfg.n_embd)
|
| 296 |
+
|
| 297 |
+
# Output head: preserve full complex information by concatenating real + imag
|
| 298 |
+
self.lm_head = nn.Linear(2 * cfg.n_embd, cfg.vocab_size, bias=False)
|
| 299 |
+
|
| 300 |
+
self.apply(self._init_weights)
|
| 301 |
+
|
| 302 |
+
def _init_weights(self, module):
|
| 303 |
+
if isinstance(module, (nn.Linear, nn.Embedding)):
|
| 304 |
+
torch.nn.init.normal_(module.weight, mean=0.0, std=0.02)
|
| 305 |
+
|
| 306 |
+
def forward(self, idx, targets=None):
|
| 307 |
+
B, Tseq = idx.size()
|
| 308 |
+
|
| 309 |
+
# Real embedding path
|
| 310 |
+
x_real = self.embed_up(self.thin_embed(idx)) # (B, T, n_embd) real
|
| 311 |
+
|
| 312 |
+
# Add position embeddings (real)
|
| 313 |
+
pos = torch.arange(0, Tseq, dtype=torch.long, device=idx.device)
|
| 314 |
+
x_real = x_real + self.position_emb(pos)
|
| 315 |
+
|
| 316 |
+
# Convert to complex: real part = features, imag part = 0 initially
|
| 317 |
+
Z = torch.complex(x_real, torch.zeros_like(x_real))
|
| 318 |
+
|
| 319 |
+
# Initial complex oscillation
|
| 320 |
+
Z = self.embed_osc(Z)
|
| 321 |
+
|
| 322 |
+
Z = self.ln_pre(Z)
|
| 323 |
+
|
| 324 |
+
for block in self.blocks:
|
| 325 |
+
Z = block(Z)
|
| 326 |
+
|
| 327 |
+
Z = self.ln_f(Z)
|
| 328 |
+
|
| 329 |
+
# Preserve both real and imaginary channels for the classifier head
|
| 330 |
+
x_out = torch.cat([Z.real, Z.imag], dim=-1) # (B, T, 2*n_embd)
|
| 331 |
+
logits = self.lm_head(x_out)
|
| 332 |
+
|
| 333 |
+
loss = None
|
| 334 |
+
if targets is not None:
|
| 335 |
+
loss = F.cross_entropy(logits.view(B * Tseq, -1), targets.view(B * Tseq))
|
| 336 |
+
|
| 337 |
+
return logits, loss
|