""" CKA 分析 - Centered Kernel Alignment 用于分析特征相似性: 1. DeCLIP 的 Q 特征 vs V 特征 2. Integrated 输出特征 vs DeCLIP Q 特征 3. Integrated 输出特征 vs DeCLIP V 特征 CKA 是一种测量神经网络表示相似性的方法,值在 [0, 1] 之间,1 表示完全相似 """ import torch import torch.nn.functional as F import numpy as np from typing import Dict, List, Tuple, Optional import matplotlib.pyplot as plt import seaborn as sns import os def centering_matrix(n: int, device: str = "cpu") -> torch.Tensor: """创建中心化矩阵 H = I - 1/n * ones""" I = torch.eye(n, device=device) ones = torch.ones(n, n, device=device) / n return I - ones def linear_kernel(X: torch.Tensor) -> torch.Tensor: """线性核 K = X @ X.T""" return X @ X.T def rbf_kernel(X: torch.Tensor, sigma: float = 1.0) -> torch.Tensor: """RBF 核""" sq_dists = torch.cdist(X, X, p=2) ** 2 return torch.exp(-sq_dists / (2 * sigma ** 2)) def hsic(K: torch.Tensor, L: torch.Tensor, H: torch.Tensor) -> torch.Tensor: """ Hilbert-Schmidt Independence Criterion HSIC(K, L) = trace(KHLH) / (n-1)^2 """ n = K.shape[0] KHLH = K @ H @ L @ H return torch.trace(KHLH) / ((n - 1) ** 2) def cka(X: torch.Tensor, Y: torch.Tensor, kernel: str = "linear") -> float: """ Centered Kernel Alignment CKA(X, Y) = HSIC(K_X, K_Y) / sqrt(HSIC(K_X, K_X) * HSIC(K_Y, K_Y)) Args: X: 特征矩阵 (n_samples, n_features_x) Y: 特征矩阵 (n_samples, n_features_y) kernel: 核函数类型 ("linear" or "rbf") Returns: CKA 值 [0, 1] """ assert X.shape[0] == Y.shape[0], "X and Y must have same number of samples" n = X.shape[0] device = X.device # 中心化矩阵 H = centering_matrix(n, device) # 核矩阵 if kernel == "linear": K_X = linear_kernel(X) K_Y = linear_kernel(Y) elif kernel == "rbf": K_X = rbf_kernel(X) K_Y = rbf_kernel(Y) else: raise ValueError(f"Unknown kernel: {kernel}") # HSIC hsic_xy = hsic(K_X, K_Y, H) hsic_xx = hsic(K_X, K_X, H) hsic_yy = hsic(K_Y, K_Y, H) # CKA cka_value = hsic_xy / (torch.sqrt(hsic_xx * hsic_yy) + 1e-8) return cka_value.item() class CKAAnalyzer: """ CKA 特征相似性分析器 """ def __init__(self, save_dir: str = "cka_analysis_results"): self.save_dir = save_dir os.makedirs(save_dir, exist_ok=True) self.results = {} def extract_features( self, model: torch.nn.Module, image: torch.Tensor, mode: str = "vanilla" ) -> Dict[str, torch.Tensor]: """ 提取特征 Args: model: CLIP 模型 image: 输入图像 (1, 3, H, W) mode: 提取模式 Returns: 特征字典 """ model.eval() features = {} with torch.no_grad(): if mode in ["csa_vfm_distill", "qq_vfm_distill"]: output, context = model.encode_dense(image, normalize=False, keep_shape=True, mode=mode) features["output"] = output if isinstance(context, tuple): if len(context) >= 2: features["Q"] = context[0] features["V"] = context[1] elif len(context) == 1: features["context"] = context[0] else: features["context"] = context else: output = model.encode_dense(image, normalize=False, keep_shape=True, mode=mode) features["output"] = output return features def analyze_qv_similarity( self, model: torch.nn.Module, images: List[torch.Tensor], mode: str = "csa_vfm_distill" ) -> float: """ 分析 Q 和 V 特征的相似性 Args: model: DeCLIP 模型 images: 图像列表 mode: 解耦模式 Returns: Q 和 V 的 CKA 相似度 """ all_q = [] all_v = [] for image in images: features = self.extract_features(model, image, mode) if "Q" in features and "V" in features: # 展平特征 q = features["Q"].flatten(start_dim=1) # (B, N*dim) v = features["V"].flatten(start_dim=1) all_q.append(q) all_v.append(v) if not all_q: print("No Q/V features extracted") return 0.0 # 合并所有样本 Q_all = torch.cat(all_q, dim=0) # (total_samples, features) V_all = torch.cat(all_v, dim=0) # 计算 CKA cka_qv = cka(Q_all, V_all, kernel="linear") self.results["Q_vs_V"] = cka_qv return cka_qv def analyze_integrated_vs_decoupled( self, decoupled_model: torch.nn.Module, integrated_model: torch.nn.Module, images: List[torch.Tensor] ) -> Dict[str, float]: """ 分析 Integrated 输出与 DeCLIP Q/V 的相似性 Args: decoupled_model: 解耦蒸馏模型 integrated_model: 集成蒸馏模型 images: 图像列表 Returns: CKA 相似度字典 """ all_integrated = [] all_q = [] all_v = [] for image in images: # 提取 integrated 特征 int_features = self.extract_features(integrated_model, image, mode="vanilla") int_output = int_features["output"].flatten(start_dim=1) all_integrated.append(int_output) # 提取 decoupled 特征 dec_features = self.extract_features(decoupled_model, image, mode="csa_vfm_distill") if "Q" in dec_features and "V" in dec_features: q = dec_features["Q"].flatten(start_dim=1) v = dec_features["V"].flatten(start_dim=1) all_q.append(q) all_v.append(v) if not all_q: print("No Q/V features extracted from decoupled model") return {} # 合并 Int_all = torch.cat(all_integrated, dim=0) Q_all = torch.cat(all_q, dim=0) V_all = torch.cat(all_v, dim=0) # 确保特征维度一致 min_dim = min(Int_all.shape[1], Q_all.shape[1], V_all.shape[1]) Int_all = Int_all[:, :min_dim] Q_all = Q_all[:, :min_dim] V_all = V_all[:, :min_dim] # 计算 CKA results = { "Integrated_vs_Q": cka(Int_all, Q_all, kernel="linear"), "Integrated_vs_V": cka(Int_all, V_all, kernel="linear"), "Q_vs_V": cka(Q_all, V_all, kernel="linear") } self.results.update(results) return results def visualize_cka_matrix( self, cka_matrix: np.ndarray, labels: List[str], save_name: str = "cka_matrix.png", title: str = "CKA Similarity Matrix" ): """ 可视化 CKA 相似度矩阵 """ plt.figure(figsize=(8, 6)) sns.heatmap( cka_matrix, xticklabels=labels, yticklabels=labels, annot=True, fmt=".3f", cmap="YlOrRd", vmin=0, vmax=1, square=True ) plt.title(title, fontsize=14) plt.tight_layout() save_path = os.path.join(self.save_dir, save_name) plt.savefig(save_path, dpi=150, bbox_inches="tight") plt.close() print(f"CKA matrix saved to {save_path}") def create_comparison_matrix(self) -> Tuple[np.ndarray, List[str]]: """ 创建对比矩阵 """ labels = ["DeCLIP Q", "DeCLIP V", "Integrated Output"] n = len(labels) matrix = np.eye(n) if "Q_vs_V" in self.results: matrix[0, 1] = matrix[1, 0] = self.results["Q_vs_V"] if "Integrated_vs_Q" in self.results: matrix[0, 2] = matrix[2, 0] = self.results["Integrated_vs_Q"] if "Integrated_vs_V" in self.results: matrix[1, 2] = matrix[2, 1] = self.results["Integrated_vs_V"] return matrix, labels def print_summary(self): """打印分析摘要""" print("\n" + "="*50) print("CKA Analysis Summary") print("="*50) for key, value in self.results.items(): print(f" {key}: {value:.4f}") print("\nInterpretation:") if "Q_vs_V" in self.results: qv = self.results["Q_vs_V"] if qv < 0.5: print(f" Q and V are fairly different (CKA={qv:.3f}), indicating successful decoupling") else: print(f" Q and V are similar (CKA={qv:.3f}), suggesting features are mixed") print("="*50 + "\n") def save_results(self, filename: str = "cka_results.json"): """保存分析结果""" import json filepath = os.path.join(self.save_dir, filename) with open(filepath, "w") as f: json.dump(self.results, f, indent=2) print(f"CKA results saved to {filepath}") def run_cka_analysis( decoupled_checkpoint: str, integrated_checkpoint: str, image_paths: List[str], model_name: str = "EVA02-CLIP-B-16", save_dir: str = "cka_analysis_results" ): """ 运行完整的 CKA 分析 Args: decoupled_checkpoint: 解耦蒸馏模型的 checkpoint 路径 integrated_checkpoint: 集成蒸馏模型的 checkpoint 路径 image_paths: 测试图像路径列表 model_name: 模型名称 save_dir: 保存目录 """ from open_clip import create_model from torchvision import transforms from PIL import Image print("Loading models...") device = "cuda" if torch.cuda.is_available() else "cpu" # 加载模型 decoupled_model = create_model(model_name, pretrained="eva", device=device) decoupled_model.load_state_dict(torch.load(decoupled_checkpoint, map_location=device)["state_dict"]) decoupled_model.eval() integrated_model = create_model(model_name, pretrained="eva", device=device) integrated_model.load_state_dict(torch.load(integrated_checkpoint, map_location=device)["state_dict"]) integrated_model.eval() # 预处理 transform = transforms.Compose([ transforms.Resize((560, 560)), transforms.ToTensor(), transforms.Normalize(mean=[0.485, 0.456, 0.406], std=[0.229, 0.224, 0.225]) ]) # 加载图像 print(f"Loading {len(image_paths)} images...") images = [] for path in image_paths: image = Image.open(path).convert("RGB") image_tensor = transform(image).unsqueeze(0).to(device) images.append(image_tensor) # CKA 分析 analyzer = CKAAnalyzer(save_dir) print("Analyzing Q vs V similarity...") analyzer.analyze_qv_similarity(decoupled_model, images) print("Analyzing Integrated vs Decoupled similarity...") analyzer.analyze_integrated_vs_decoupled(decoupled_model, integrated_model, images) # 可视化 matrix, labels = analyzer.create_comparison_matrix() analyzer.visualize_cka_matrix(matrix, labels, save_name="cka_comparison.png") # 保存结果 analyzer.print_summary() analyzer.save_results() print("Done!") if __name__ == "__main__": print("CKA Analysis Tool") print("Usage:") print(" from decoupling_analysis.cka_analysis import CKAAnalyzer, cka") print(" analyzer = CKAAnalyzer('save_dir')") print(" analyzer.analyze_qv_similarity(model, images)") print(" analyzer.analyze_integrated_vs_decoupled(dec_model, int_model, images)")