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+approaches+relying+on+parametric+models+like+the+Bradley-Terry+model+fall+short+in+capturing+the+intransitivity+and+irrationality+in+human+preferences.+Recent+advancements+suggest+that+directly+working+with+preference+probabilities+can+yield+a+more+accurate+reflection+of+human+preferences%2C+enabling+more+flexible+and+accurate+language+model+alignment.+In+this+paper%2C+we+propose+a+self-play-based+method+for+language+model+alignment%2C+which+treats+the+problem+as+a+constant-sum+two-player+game+aimed+at+identifying+the+Nash+equilibrium+policy.+Our+approach%2C+dubbed+textit{Self-Play+Preference+Optimization}+(SPPO)%2C+approximates+the+Nash+equilibrium+through+iterative+policy+updates+and+enjoys+theoretical+convergence+guarantee.+Our+method+can+effectively+increase+the+log-likelihood+of+the+chosen+response+and+decrease+that+of+the+rejected+response%2C+which+cannot+be+trivially+achieved+by+symmetric+pairwise+loss+such+as+Direct+Preference+Optimization+(DPO)+and+Identity+Preference+Optimization+(IPO).+In+our+experiments%2C+using+only+60k+prompts+(without+responses)+from+the+UltraFeedback+dataset+and+without+any+prompt+augmentation%2C+by+leveraging+a+pre-trained+preference+model+PairRM+with+only+0.4B+parameters%2C+SPPO+can+obtain+a+model+from+fine-tuning+Mistral-7B-Instruct-v0.2+that+achieves+the+state-of-the-art+length-controlled+win-rate+of+28.53%25+against+GPT-4-Turbo+on+AlpacaEval+2.0.+It+also+outperforms+the+(iterative)+DPO+and+IPO+on+MT-Bench+and+the+Open+LLM+Leaderboard.+Notably%2C+the+strong+performance+of+SPPO+is+achieved+without+additional+external+supervision+(e.g.%2C+responses%2C+preferences%2C+etc.)+from+GPT-4+or+other+stronger+language+models.&ogModelDescription=&ogImgUrl=https:%2F%2Ft3.ftcdn.net%2Fjpg%2F02%2F48%2F42%2F64%2F360_F_248426448_NVKLywWqArG2ADUxDq6QprtIzsF82dMF.jpg&platform=&tags=?quality=80&w=800)
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