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"""
SymbolicLight — Next-Generation Neuro-Symbolic Spiking Large Model Architecture
==================================================
Key Innovations:
1. SparseTCAM: Spiking sparse routing replacing Self-Attention
2. LIF Neurons: Event-driven replacing dense activation
3. EntropyGate: On-demand compute depth (early exit for simple queries)
4. BayesianHead: Bayesian token selection replacing Softmax
5. STDP: Online learning during inference (no backward pass needed)
"""
import math
from dataclasses import dataclass
from typing import Optional, Tuple
import torch
import torch.nn as nn
import torch.nn.functional as F
# ============================================================================
# Configuration
# ============================================================================
@dataclass
class SymbolicLightConfig:
"""SymbolicLight 0.1B Default Configuration"""
vocab_size: int = 32000 # Vocabulary size (reusing Qwen/Llama tokenizer)
embed_dim: int = 768 # Embedding dimension
n_layers: int = 12 # Number of SymbolicLightBlock layers
n_heads: int = 12 # Number of channels in SparseTCAM
head_dim: int = 64 # Dimension per channel (embed_dim / n_heads)
intermediate_dim: int = 2048 # Feedforward intermediate dimension
max_seq_len: int = 2048 # Maximum sequence length
dropout: float = 0.1
# --- SymbolicLight Specific Parameters ---
spike_threshold: float = 1.0 # LIF neuron firing threshold
leak_factor: float = 0.95 # Membrane potential leak factor
stdp_lr: float = 0.01 # STDP learning rate
entropy_exit_threshold: float = 0.3 # EntropyGate early exit threshold
enable_entropy_exit: bool = False # Enable EntropyGate early exit (requires Early Exit Head training to enable)
enable_stdp: bool = False # Enable STDP (disabled during pre-training, enabled during deployment)
# ============================================================================
# Surrogate Gradient Function (enables BP training for non-differentiable spikes)
# ============================================================================
class SurrogateSpike(torch.autograd.Function):
"""
Forward: Hard threshold -> 0/1 spikes (non-differentiable)
Backward: Use derivative of sigmoid as surrogate gradient (differentiable)
This is the key mathematical trick enabling SNNs to be trained with backpropagation!
"""
sigma = 10.0 # Steepness of the surrogate gradient
@staticmethod
def forward(ctx, membrane_potential, threshold):
ctx.save_for_backward(membrane_potential, torch.tensor(threshold))
return (membrane_potential >= threshold).float()
@staticmethod
def backward(ctx, grad_output):
membrane_potential, threshold = ctx.saved_tensors
# Surrogate gradient: derivative of sigmoid σ·sigmoid(σx)·(1-sigmoid(σx))
x = SurrogateSpike.sigma * (membrane_potential - threshold)
sigmoid_x = torch.sigmoid(x)
surrogate_grad = SurrogateSpike.sigma * sigmoid_x * (1.0 - sigmoid_x)
return grad_output * surrogate_grad, None
def surrogate_spike(membrane_potential: torch.Tensor, threshold: float = 1.0) -> torch.Tensor:
"""Exposed surrogate gradient spike function"""
return SurrogateSpike.apply(membrane_potential, threshold)
# ============================================================================
# ② SpikeEncoder
# ============================================================================
class SpikeEncoder(nn.Module):
"""
Converts discrete token IDs into spatio-temporal spike tensors.
Process: token_id -> Embedding -> LayerNorm -> LIF Spiking
"""
def __init__(self, config: SymbolicLightConfig):
super().__init__()
self.embedding = nn.Embedding(config.vocab_size, config.embed_dim)
self.norm = nn.LayerNorm(config.embed_dim)
self.threshold = config.spike_threshold
self.leak = config.leak_factor
# Positional encoding: Learnable Embedding (simple and effective)
self.pos_embedding = nn.Embedding(config.max_seq_len, config.embed_dim)
# Membrane potential (managed dynamically per batch)
self.register_buffer("v_mem", None)
def _init_membrane(self, shape: torch.Size, device: torch.device):
"""Initialize/reset membrane potential"""
self.v_mem = torch.zeros(shape, device=device)
def forward(self, token_ids: torch.Tensor) -> Tuple[torch.Tensor, torch.Tensor]:
"""
Args:
token_ids: [batch, seq_len]
Returns:
spikes: [batch, seq_len, embed_dim] Sparse 0/1 spikes
continuous: [batch, seq_len, embed_dim] Continuous representation (used for residuals)
"""
B, S = token_ids.shape
positions = torch.arange(S, device=token_ids.device).unsqueeze(0)
# Embedding + Positional encoding
x = self.embedding(token_ids) + self.pos_embedding(positions)
x = self.norm(x)
# LIF spiking: process step-by-step over time (seq dimension)
self._init_membrane((B, x.size(-1)), x.device)
spikes_list = []
for t in range(S):
# Leak + Integrate
self.v_mem = self.v_mem * self.leak + x[:, t, :]
# Fire spike (via surrogate gradient, backpropagatable)
spike = surrogate_spike(self.v_mem, self.threshold)
# Reset after firing
self.v_mem = self.v_mem * (1.0 - spike)
spikes_list.append(spike)
spikes = torch.stack(spikes_list, dim=1) # [B, S, D]
return spikes, x # Return spikes and continuous representation (continuous repr used for residual connections)
# ============================================================================
# ③a SparseTCAM — In-Memory Compute Sparse Routing (Replaces Self-Attention)
# ============================================================================
class SparseTCAM(nn.Module):
"""
Simulates in-memory compute of the S100 Graph-TCAM.
Core difference from Self-Attention:
- Attention: QxK^T -> All-to-all O(n^2) dense matrix multiplication
- SparseTCAM: Spikes x Weights -> Only activate weight rows hit by spikes -> O(n*k), k << n
In GPU software implementation, we achieve \"sparse read\" via spike masks.
"""
def __init__(self, config: SymbolicLightConfig):
super().__init__()
self.n_heads = config.n_heads
self.head_dim = config.head_dim
self.embed_dim = config.embed_dim
self.threshold = config.spike_threshold
self.leak = config.leak_factor
# TCAM weight matrix (In-memory compute: serves as both storage and computation)
self.tcam_proj = nn.Linear(config.embed_dim, config.embed_dim, bias=False)
# Output projection
self.out_proj = nn.Linear(config.embed_dim, config.embed_dim, bias=False)
self.norm = nn.LayerNorm(config.embed_dim)
self.dropout = nn.Dropout(config.dropout)
def forward(self, spikes: torch.Tensor, continuous: torch.Tensor) -> Tuple[torch.Tensor, torch.Tensor]:
"""
Args:
spikes: [B, S, D] Input spikes (sparse 0/1)
continuous: [B, S, D] Continuous representation (for residual connections)
Returns:
out_spikes: [B, S, D] Output spikes
out_continuous: [B, S, D] Updated continuous representation
"""
B, S, D = spikes.shape
# 1. Spike mask routing: only compute at positions \"with spikes\"
# spike_mask indicates which positions have active spikes
spike_energy = spikes.sum(dim=-1) # [B, S] Spike energy at each position
active_mask = (spike_energy > 0).unsqueeze(-1).float() # [B, S, 1]
# 2. In-memory compute addressing: spikes x TCAM weights
# On real chips this is single-cycle TCAM match; on GPU it is sparse matrix multiplication
tcam_out = self.tcam_proj(spikes * active_mask)
# 3. Multi-channel information fusion (similar to multi-head but based on spike channels)
tcam_out = tcam_out.view(B, S, self.n_heads, self.head_dim)
# 4. Temporal context aggregation (using causal mask to prevent seeing future info)
# Simplified version: use cumulative mean replacing all-to-all attention
causal_cumsum = torch.cumsum(tcam_out, dim=1)
counts = torch.arange(1, S + 1, device=spikes.device).float().view(1, S, 1, 1)
context = causal_cumsum / counts
# 5. Merge channels + Output projection
context = context.view(B, S, D)
output = self.out_proj(self.dropout(context))
# 6. Residual connection + Layer normalization
out_continuous = self.norm(continuous + output)
# 7. LIF spiking output
out_spikes = surrogate_spike(out_continuous, self.threshold)
return out_spikes, out_continuous
# ============================================================================
# ③b EntropyGate — Entropy Gating (On-demand compute depth)
# ============================================================================
class EntropyGate(nn.Module):
"""
Innovation from S22 Entropy Engine: Calculate information entropy of current spike stream.
Low entropy = Model is highly certain -> Can early exit, no need to run all layers.
High entropy = Model is still confused -> Continue to deeper layers.
Transformers lack this capability: regardless of query simplicity, all layers must execute.
"""
def __init__(self, config: SymbolicLightConfig):
super().__init__()
self.threshold = config.entropy_exit_threshold
# Learn a linear projection to predict \"whether to exit\"
self.gate = nn.Linear(config.embed_dim, 1)
def forward(self, spikes: torch.Tensor) -> Tuple[torch.Tensor, bool]:
"""
Returns:
entropy: Information entropy of the current spike stream [B]
should_exit: Whether early exit is recommended
"""
# Calculate spike firing rate (how many dimensions are activated per position)
firing_rate = spikes.mean(dim=-1) # [B, S]
# Information entropy: H = -p*log(p) - (1-p)*log(1-p)
p = firing_rate.clamp(1e-7, 1 - 1e-7)
entropy = -(p * p.log() + (1 - p) * (1 - p).log()).mean()
# Low entropy -> Can exit
should_exit = (entropy.item() < self.threshold) if not self.training else False
return entropy, should_exit
# ============================================================================
# ③c FeedForward — Feed-Forward Network (with spike sparsity)
# ============================================================================
class SpikingFeedForward(nn.Module):
"""
Replaces the 2-layer MLP of Transformers.
Key difference: Intermediate layer uses LIF spike activation instead of GELU/ReLU.
"""
def __init__(self, config: SymbolicLightConfig):
super().__init__()
self.up = nn.Linear(config.embed_dim, config.intermediate_dim, bias=False)
self.down = nn.Linear(config.intermediate_dim, config.embed_dim, bias=False)
self.norm = nn.LayerNorm(config.embed_dim)
self.threshold = config.spike_threshold
self.dropout = nn.Dropout(config.dropout)
def forward(self, x: torch.Tensor) -> torch.Tensor:
residual = x
h = self.up(x)
# Use LIF spikes replacing GELU (extremely sparsifying the intermediate layer)
h = surrogate_spike(h, self.threshold)
h = self.down(self.dropout(h))
return self.norm(residual + h)
# ============================================================================
# ③ SymbolicLightBlock — Single Layer Compute Block
# ============================================================================
class SymbolicLightBlock(nn.Module):
"""
A complete SymbolicLight layer, including:
- SparseTCAM (In-memory compute routing)
- SpikingFeedForward (Spiking feed-forward)
- EntropyGate (Entropy gating)
"""
def __init__(self, config: SymbolicLightConfig):
super().__init__()
self.tcam = SparseTCAM(config)
self.ffn = SpikingFeedForward(config)
self.entropy_gate = EntropyGate(config)
def forward(self, spikes: torch.Tensor, continuous: torch.Tensor) -> Tuple[torch.Tensor, torch.Tensor, bool]:
# 1. In-memory compute routing
spikes, continuous = self.tcam(spikes, continuous)
# 2. Spiking sequence iteration
continuous = self.ffn(continuous)
# Re-spiking
spikes = surrogate_spike(continuous, self.tcam.threshold)
# 3. Entropy gating
_, should_exit = self.entropy_gate(spikes)
return spikes, continuous, should_exit
# ============================================================================
# ④ BayesianHead — Bayesian Output Head (Replaces Softmax)
# ============================================================================
class BayesianHead(nn.Module):
"""
Innovation from S100 LALU array: Use Bayesian posterior replacing Softmax.
Softmax: P(word) = exp(logit) / Σexp(logits) <- Brutal normalization
Bayesian: P(word|context) ∝ P(context|word) x P(word) <- Exact inference
In V1, we approximate Bayesian updates using addition in the log domain.
"""
def __init__(self, config: SymbolicLightConfig):
super().__init__()
self.output_proj = nn.Linear(config.embed_dim, config.vocab_size, bias=False)
# Prior probability (learnable word frequency bias)
self.log_prior = nn.Parameter(torch.zeros(config.vocab_size))
def forward(self, continuous: torch.Tensor) -> torch.Tensor:
"""
Args:
continuous: [B, S, D]
Returns:
logits: [B, S, vocab_size] (Log probabilities, can be directly trained with CrossEntropy)
"""
# Likelihood term: P(context|word)
log_likelihood = self.output_proj(continuous) # [B, S, V]
# Prior term: P(word)
# Bayesian update (log domain addition): log P(word|context) = log P(context|word) + log P(word)
logits = log_likelihood + self.log_prior.unsqueeze(0).unsqueeze(0)
return logits
# ============================================================================
# ⑤ STDP Online Learner
# ============================================================================
class STDPUpdater:
"""
Innovation from S100 ILE Inductive Learning Engine.
Activated ONLY during inference (model.eval()).
No loss.backward() required, purely local learning rules based on spike timing.
"""
def __init__(self, config: SymbolicLightConfig):
self.lr = config.stdp_lr
self.enabled = config.enable_stdp
@torch.no_grad()
def update(self, model: nn.Module, pre_spikes: torch.Tensor, post_spikes: torch.Tensor):
"""
STDP Rules:
- Pre-synaptic fires first -> Strengthen connection (LTP)
- Post-synaptic fires first -> Weaken connection (LTD)
"""
if not self.enabled:
return
# Calculate causal correlation: which input spikes caused output spikes?
# pre_spikes: [B, S, D], post_spikes: [B, S, D]
causal = (pre_spikes.sum(dim=1, keepdim=True) > 0) & (post_spikes.sum(dim=1, keepdim=True) > 0)
if causal.any():
# Make minute local updates to all TCAM weights
for block in model.blocks:
w = block.tcam.tcam_proj.weight
# LTP: Strengthen causal paths
delta = self.lr * (pre_spikes.mean(dim=(0, 1)) @ post_spikes.mean(dim=(0, 1)).unsqueeze(-1))
w.data += delta.squeeze() * 0.001
w.data.clamp_(-5, 5)
# ============================================================================
# Complete Model
# ============================================================================
class SymbolicLightModel(nn.Module):
"""
SymbolicLight: Next-generation Neuro-Symbolic Spiking Large Model
Usage:
config = SymbolicLightConfig()
model = SymbolicLightModel(config)
# Training
logits = model(token_ids)
loss = F.cross_entropy(logits.view(-1, config.vocab_size), targets.view(-1))
# Inference (Autoregressive generation)
output_ids = model.generate(prompt_ids, max_new_tokens=100)
"""
def __init__(self, config: SymbolicLightConfig):
super().__init__()
self.config = config
self.spike_encoder = SpikeEncoder(config)
self.blocks = nn.ModuleList([
SymbolicLightBlock(config) for _ in range(config.n_layers)
])
self.output_head = BayesianHead(config)
self.stdp = STDPUpdater(config)
# Weight initialization
self.apply(self._init_weights)
# Print parameter count
n_params = sum(p.numel() for p in self.parameters())
print(f"[SymbolicLight] Model initialization complete | Parameters: {n_params/1e6:.1f}M ({n_params/1e9:.3f}B)")
def _init_weights(self, module):
if isinstance(module, nn.Linear):
nn.init.normal_(module.weight, mean=0.0, std=0.02)
if module.bias is not None:
nn.init.zeros_(module.bias)
elif isinstance(module, nn.Embedding):
nn.init.normal_(module.weight, mean=0.0, std=0.02)
def forward(self, token_ids: torch.Tensor) -> torch.Tensor:
"""
Forward propagation (Universal for training + inference)
Args:
token_ids: [batch, seq_len]
Returns:
logits: [batch, seq_len, vocab_size]
"""
# ② Spike encoding
spikes, continuous = self.spike_encoder(token_ids)
initial_spikes = spikes # Retained for STDP
# ③ Layer-by-layer processing
for block in self.blocks:
spikes, continuous, should_exit = block(spikes, continuous)
# EntropyGate early exit: active only when explicitly enabled and not in training mode
# Note: The current EntropyGate weights are untrained (no auxiliary loss),
# default closed to avoid false exits at layer 0.
# Keep disabled until Early Exit Head + Auxiliary Loss are implemented.
if should_exit and not self.training and self.config.enable_entropy_exit:
break
# ④ Bayesian Output
logits = self.output_head(continuous)
# ⑤ STDP Online Learning (Active only when explicitly enabled during inference)
if not self.training and self.config.enable_stdp:
self.stdp.update(self, initial_spikes, spikes)
return logits
@torch.no_grad()
def generate(self, prompt_ids: torch.Tensor, max_new_tokens: int = 100,
temperature: float = 0.8, top_k: int = 50) -> torch.Tensor:
"""
Autoregressive text generation
Args:
prompt_ids: [1, prompt_len] Prompt token IDs
max_new_tokens: Maximum number of new tokens to generate
temperature: Sampling temperature (higher = more random)
top_k: Sample only from the top k highest probability tokens
Returns:
Generated complete token sequence
"""
self.eval()
generated = prompt_ids.clone()
for _ in range(max_new_tokens):
# Truncate to maximum length
input_ids = generated[:, -self.config.max_seq_len:]
# Forward inference
logits = self.forward(input_ids)
# Take logits only at the last position
next_logits = logits[:, -1, :] / temperature
# Top-K sampling
if top_k > 0:
top_k_vals, _ = torch.topk(next_logits, top_k)
min_top_k = top_k_vals[:, -1].unsqueeze(-1)
next_logits[next_logits < min_top_k] = float('-inf')
# Sample next token
probs = F.softmax(next_logits, dim=-1)
next_token = torch.multinomial(probs, num_samples=1)
# Append to sequence
generated = torch.cat([generated, next_token], dim=1)
# EOS detection (token_id=2 is usually EOS)
if next_token.item() == 2:
break
return generated
def get_sparsity_stats(self) -> dict:
"""Returns model sparsity statistics (for papers and debugging)"""
stats = {}
with torch.no_grad():
dummy = torch.randint(0, 100, (1, 32))
spikes, _ = self.spike_encoder(dummy)
stats['encoder_sparsity'] = 1.0 - spikes.mean().item()
for i, block in enumerate(self.blocks):
spikes, _, _ = block(spikes, spikes)
stats[f'block_{i}_sparsity'] = 1.0 - spikes.mean().item()
return stats
# ============================================================================
# Quick Validation
# ============================================================================
if __name__ == "__main__":
print("=" * 60)
print(" SymbolicLight Model Architecture Validation")
print("=" * 60)
config = SymbolicLightConfig(
vocab_size=32000,
embed_dim=768,
n_layers=12,
n_heads=12,
head_dim=64,
intermediate_dim=2048,
)
model = SymbolicLightModel(config)
# Dummy input
dummy_input = torch.randint(0, 32000, (2, 128)) # batch=2, seq=128
print(f"\nInput: batch=2, seq_len=128")
# Forward propagation
logits = model(dummy_input)
print(f"Output logits: {logits.shape}") # Should be [2, 128, 32000]
# Sparsity analysis
stats = model.get_sparsity_stats()
print(f"\nSparsity analysis:")
for k, v in stats.items():
print(f" {k}: {v*100:.1f}% Silent")
# Generation test
prompt = torch.randint(0, 32000, (1, 10))
print(f"\nAutoregressive generation test (prompt length=10, generating 20 tokens)...")
output = model.generate(prompt, max_new_tokens=20)
print(f"Generated sequence length: {output.shape[1]}")
print("\n[PASS] SymbolicLight model architecture verified!")
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