nexus-os-space / nexus_os_v2 /ckplug_retriever.py
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"""
CK-PLUG Integration for NEXUS OS v2
Implements Confidence Gain (CG) as the concrete μ_ret chemical potential.
Paper: arXiv:2503.15888 — Parameters vs. Context: Fine-Grained Control
of Knowledge Reliance in Language Models
Model-specific ε thresholds (from Appendix B):
LLaMA2-7B: -2 | LLaMA3-8B: -1
Mistral-0.3-7B: -1 | Qwen2.5-7B: -3
For general use: default ε = -1
"""
import math
import torch
from typing import List, Optional, Dict, Tuple, Callable
from dataclasses import dataclass
@dataclass
class TokenModulation:
"""Result of CK-PLUG token-level modulation."""
token_id: int
original_prob: float
modulated_prob: float
cg: float # Confidence Gain
H_para: float # Entropy (query-only)
H_cont: float # Entropy (query+retrieval)
was_modulated: bool # True if this token was in V_head and CG < threshold
alpha: float # Adaptive blending weight
class CKPLUGCoupling:
"""
Concrete implementation of the retrieval chemical potential μ_ret
from the NEXUS OS Landau-Ginzburg framework.
μ_ret(x) = μ_0 * grounding_score(x)
where grounding_score is derived from CK-PLUG Confidence Gain:
- CG > 0 → retrieval SUPPORTS parametric knowledge (high grounding)
- CG < 0 → retrieval CONFLICTS with parametric knowledge (low grounding)
- |CG| → magnitude of confidence shift
"""
def __init__(
self,
epsilon: float = -1.0, # Model-specific detection threshold
top_k: int = 50, # Union top-k for V_head
mu_0: float = 0.5, # Base chemical potential (from LG framework)
device: str = "cpu",
):
self.epsilon = epsilon
self.top_k = top_k
self.mu_0 = mu_0
self.device = device
@staticmethod
def entropy(probs: torch.Tensor) -> float:
"""Shannon entropy H = -Σ p_i log₂ p_i."""
p = probs[probs > 0]
return float(-(p * torch.log2(p)).sum().item())
@staticmethod
def confidence_gain(
p_query: torch.Tensor, # p(x | X_q) — parametric only
p_rag: torch.Tensor, # p(x | X_r + X_q) — with retrieval
) -> Tuple[float, float, float]:
"""
Returns: (CG, H_para, H_cont)
CG = H(p(x|X_q)) - H(p(x|X_r+X_q))
Positive CG → retrieval supports (reduces entropy)
Negative CG → retrieval conflicts (increases entropy)
"""
H_para = CKPLUGCoupling.entropy(p_query)
H_cont = CKPLUGCoupling.entropy(p_rag)
CG = H_para - H_cont
return CG, H_para, H_cont
def compute_chemical_potential(
self,
p_query: torch.Tensor,
p_rag: torch.Tensor,
) -> float:
"""
Map CK-PLUG Confidence Gain to Landau-Ginzburg chemical potential μ_ret.
Logic:
CG >> 0 → retrieval strongly supports → μ_ret ≈ μ_0 (max grounding)
CG ≈ 0 → neutral → μ_ret ≈ 0 (no coupling)
CG << 0 → retrieval conflicts → μ_ret ≈ -μ_0 (adversarial)
We use a tanh-sigmoid for smooth interpolation:
μ_ret = μ_0 * tanh(CG / τ) where τ controls transition sharpness.
"""
CG, _, _ = self.confidence_gain(p_query, p_rag)
tau = 0.5 # Transition width in nats
mu_ret = self.mu_0 * math.tanh(CG / tau)
return mu_ret
def modulate_token(
self,
p_query: torch.Tensor, # Shape: (vocab_size,)
p_rag: torch.Tensor, # Shape: (vocab_size,)
) -> Tuple[torch.Tensor, TokenModulation]:
"""
Apply CK-PLUG token-level modulation (Eq. 7-10 from paper).
Returns: (modulated_distribution, modulation_metadata)
"""
CG, H_para, H_cont = self.confidence_gain(p_query, p_rag)
# Refined detection threshold (Eq. 11 / Appendix B)
threshold = self.epsilon * abs(H_cont)
if CG >= threshold:
# No conflict — pass through RAG distribution unchanged
return p_rag, TokenModulation(
token_id=-1, original_prob=0.0, modulated_prob=0.0,
cg=CG, H_para=H_para, H_cont=H_cont,
was_modulated=False, alpha=0.0,
)
# Conflict detected — apply modulation
# Eq. 5: Parameter-aware log probability
q_para = torch.log(p_query + 1e-10)
# Eq. 6: Context-aware log probability
q_cont = torch.log((p_rag + 1e-10) / (p_query + 1e-10))
# Eq. 10: Adaptive alpha
alpha = H_cont / (H_para + H_cont + 1e-10)
alpha = float(torch.clamp(torch.tensor(alpha), 0.0, 1.0).item())
# Build V_head: union of top-k from both distributions
topk_para = torch.topk(q_para, self.top_k).indices
topk_cont = torch.topk(q_cont, self.top_k).indices
V_head = torch.unique(torch.cat([topk_para, topk_cont]))
# Eq. 8: Modulation function F
F = torch.full_like(q_para, -float('inf'))
F[V_head] = alpha * q_para[V_head] + (1.0 - alpha) * q_cont[V_head]
# Softmax to get modulated distribution
p_mod = torch.softmax(F, dim=-1)
# Find most changed token for metadata
diff = torch.abs(p_rag - p_mod)
changed_id = int(torch.argmax(diff).item())
modulation = TokenModulation(
token_id=changed_id,
original_prob=float(p_rag[changed_id].item()),
modulated_prob=float(p_mod[changed_id].item()),
cg=CG, H_para=H_para, H_cont=H_cont,
was_modulated=True, alpha=alpha,
)
return p_mod, modulation
def batch_modulate(
self,
p_queries: List[torch.Tensor], # List of (vocab_size,) tensors
p_rags: List[torch.Tensor], # Same length
) -> List[Tuple[torch.Tensor, TokenModulation]]:
"""Apply CK-PLUG to a batch of token positions."""
return [self.modulate_token(pq, pr) for pq, pr in zip(p_queries, p_rags)]
def get_grounding_field(self, p_query: torch.Tensor, p_rag: torch.Tensor) -> float:
"""
Return the scalar μ_ret value for insertion into Landau-Ginzburg functional.
This is the key bridge between CK-PLUG (empirical) and NEXUS OS physics.
"""
return self.compute_chemical_potential(p_query, p_rag)
# Model-specific epsilon presets (from CK-PLUG Appendix B)
CKPLUG_PRESETS = {
"llama2": -2.0,
"llama3": -1.0,
"mistral": -1.0,
"qwen2.5": -3.0,
"granite": -1.5, # Estimated from paper patterns
"gemma": -1.0, # Estimated
"deepseek": -2.0, # Estimated (large MoE, conservative)
"default": -1.0,
}
def get_preset_epsilon(model_family: str) -> float:
"""Get recommended epsilon for a model family."""
key = model_family.lower()
for k, v in CKPLUG_PRESETS.items():
if k in key:
return v
return CKPLUG_PRESETS["default"]