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Supercharge Bittensor Ecosystem with Advanced Mathematical and Logical AI

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🧠 LogicNet - Subnet 🤖

Introduction

Description

Our goal is to develop an open-source AI model capable of complex mathematics and detailed data analysis, enhanced by incentivized human feedback for continuous improvement.

Key Features

  • 🚀 Advanced Computational Network: Incentivizing miners to enhance computational resources for complex AI/ML tasks.

  • 💰 Incentive Mechanism:

    Updated Reward System:

    • Initial Score Calculation:

      • Each miner's response is evaluated to calculate an initial score using a weighted sum:
        • score = (0.2 * similarity_score) + (0.8 * correctness_score) - 0.1 * time_penalty
          • Similarity Score: Calculated based on the cosine similarity between the miner's reasoning and the self-generated ground truth answer.
          • Correctness Score: Determined by an LLM that assesses whether the miner's answer is correct based on the question and ground truth.
          • Time Penalty: Derived from the processing time of the response relative to the specified timeout.
    • Rank-Based Incentives:

      • Miners are ranked in descending order based on their initial scores.
      • Incentive rewards are assigned using a cubic function based on the rank:
        • incentive_reward = -1.038e-7 * rank³ + 6.214e-5 * rank² - 0.0129 * rank - 0.0118 + 1
        • This function scales rewards non-linearly to emphasize higher ranks, encouraging miners to provide higher-quality responses.
      • Reward Scaling:
        • The cubic function adjusts rewards so that top-ranked miners receive significantly higher rewards than lower-ranked ones.
        • Negative initial scores result in an incentive reward of zero.
    • Purpose of the New Incentive Mechanism:

      • Enhance Competition: By differentiating rewards based on rank, miners are motivated to outperform others.
      • Improve Quality: The emphasis on correctness and similarity encourages miners to provide accurate and relevant answers.
      • Address Flat Incentive Curve: The non-linear reward distribution resolves issues where miners previously received similar rewards despite varying performance levels.
  • 🌟 Continuous Improvement: Expanding the math problem sets and categories to cover a broader range of topics.

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Supercharge Bittensor Ecosystem with Advanced Mathematical and Logical AI

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