import torch from transformers import AutoModelForCausalLM, AutoTokenizer import math # 1. 加载模型和分词器 # 注意:第一次运行会自动从 Hugging Face 下载模型,约需 3GB 显存或内存 model_name = "Qwen/Qwen2.5-1.5B-Instruct" device = "cuda" if torch.cuda.is_available() else "cpu" print(f"Loading {model_name} on {device}...") try: tokenizer = AutoTokenizer.from_pretrained(model_name, trust_remote_code=True) model = AutoModelForCausalLM.from_pretrained(model_name, device_map=device, trust_remote_code=True) model.eval() # 设置为评估模式 except Exception as e: print(f"Error loading model: {e}") exit() def calculate_perplexity(text): """ 计算给定文本字符串的困惑度 (PPL) """ # 对输入文本进行编码 encodings = tokenizer(text, return_tensors="pt") input_ids = encodings.input_ids.to(device) # 计算 Loss (NLL) # labels=input_ids 会让模型自动计算 CrossEntropyLoss with torch.no_grad(): outputs = model(input_ids, labels=input_ids) loss = outputs.loss # PPL = exp(Loss) ppl = torch.exp(loss).item() return ppl # ========================================== # 场景 1: 2048 游戏 # ========================================== def run_2048_test(): # 模拟一个 2048 的原始符号状态 (Raw Symbolic State) # 论文指出这种原始数字矩阵通常具有较高的 PPL state_2048 = ( "Turn 15:" "#2 #4 #8 #2 \n . " " #16 #64 #32 #512 \n " ". #0 #2 #0 #256. . #0 #128 #0 #4 " ) "\nCurrent 2048 Grid:\nRow 1: [2, 4, 8, 2]\nRow 2: [16, 64, 32, 512]\nRow 3: [0, 2, 0, 256]\nRow 4: [0, 128, 0 4]\n" # 2048 的随机基准:数字种类 (0, 2, 4, 8... 2048) 约为 12 种 baseline_2048 = 12 ppl = calculate_perplexity(state_2048) print("-" * 30) print("TASK: 2048 Game") print(f"Input State:\n{state_2048}") print(f"\nRandom Guess Baseline (#States): ~{baseline_2048}") print(f"Model Perplexity (PPL): {ppl:.2f}") if ppl > baseline_2048: # 简单的倍数阈值判断 print(">> 结论: OOD 环境 (模型看不懂这个数字矩阵)") else: print(">> 结论: In-Domain 环境 (模型对这种排列很熟悉)") # ========================================== # 场景 2: 二阶魔方 (2x2 Rubik's Cube) # ========================================== def run_cube_test(): # 模拟一个二阶魔方的展开图状态 (Raw Symbolic State) # U=Up, F=Front, R=Right, D=Down, L=Left, B=Back # 这里模拟一个打乱后的状态 state_cube = ( "Cube State:\n" " U R\n" " F U\n" "L D F R B U\n" "L B R D F L\n" " D B\n" " R B" ) # 魔方的随机基准:只有 6 种颜色 baseline_cube = 6 ppl = calculate_perplexity(state_cube) print("-" * 30) print("TASK: 2x2 Rubik's Cube") print(f"Input State:\n{state_cube}") print(f"\nRandom Guess Baseline (#States): {baseline_cube}") print(f"Model Perplexity (PPL): {ppl:.2f}") if ppl > baseline_cube * 2: print(">> 结论: OOD 环境 (模型难以解析空间展开图)") else: print(">> 结论: In-Domain 环境") # ========================================== # 执行测试 # ========================================== if __name__ == "__main__": print("Starting PPL Calculation based on paper methodology[cite: 174]...") run_2048_test() run_cube_test()