#!/usr/bin/env python3 """ 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!")