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240510 COGNAC LabChat

240510 COGNAC LabChat

Kazuya Horibe

May 12, 2024
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  1. Toward to understanding socio-cognitive dynamical systems : Stewardship for human

    collective behavior through artificial agents Kazuya Horibe
  2. Society in the real world is dynamic Suppose the game

    can be formulated as a game and the landscape can be written, • Defining an optimal solution is difficult or impossible • There is no fixed attractor to which the population should converge • Attractors change over time as new problems emerge, both endogenous and exogenous Background Understanding the process by which groups adapt to different games and contexts (social adaptation) is more important than optimization of a specific game. [Galesic+ 2023] 231215_MA_JC
  3. Can social adaptation be numerically/theoretically modeled? Challenges1:High dementional dynamamical system

    • Need to low dimensionalization • The game's landscape is dynamic. ◦ A metagame description that allows for rule changes is necessary. ◦ Potential for alternative formulations or approximations. Challenges2:Local optimization for each player (does not align grolverly with theory) • Players do not have complete knowledge of the entire payoff landscape. • Humans do not always act optimally. ◦ It is necessary to evaluate deviations from the optimal theoretical values. Question
  4. Challenges and Strategies for Modeling Social Adaptation Strategy Challenges1:High dementional

    dynamamical system • Need to low dimensionalization • The game's landscape is dynamic. ◦ A metagame description that allows for rule changes is necessary. ◦ Potential for alternative formulations or approximations. Challenges2:Local optimization for each player (does not align grolverly with theory) • Players do not have complete knowledge of the entire payoff landscape. • Humans do not always act optimally. ◦ It is necessary to evaluate deviations from the optimal theoretical values. • Dimensionality reduction • Estimating the entire system from partial information(From partial to whole) • Emulating local optimization with a group of LLMs New methods for dynamical adaptation LLMs as models of non-rational and imperfect humans
  5. Dimensionality reduction 1: Energy landscape analysis Advantages • Any type

    of binarized time-series data • Allows understanding of collective dynamics as trajectories in a landscape • A landscape corresponds to the probability of state occurrences Disadvantages • The dimension of the time series is not scalable (empirically, up to about N~15 can be analyzed) [Ezaki+ 2017] Strategy
  6. Dimensionality reduction 2: conventional methods: UMAP/PCA 231111_MA_JC he Iterated Evolutionary

    Prisoner's Dilemma Game for a Group Using LLM (N=30) [Suzuki & Arita 2024] Advantages • Commonly used Disadvantages • Difficult to interpret the axes after dimension reduction Strategy
  7. From partial to whole 1: Estimating bifurcation with reservoir computing

    Capabilities • Predict bifurcations in phase space from time series data before bifurcation. [Kim+ 2021] Strategy
  8. From partial to whole 2: Connecting local geometries through linear

    approximation Capabilities • Approximating geometry from local time-series data • Stochastically describing transitions between approximated geometries • Can apply to neural dynamics of C. elegans [Costa+ 2019] Strategy
  9. Challenge 1:What can we ultimately achieve? Challenges1:High dementional dynamamical system

    • Low dimensionalization ◦ Energy landscape analysis ◦ Dimensionality reduction • From partial to whole (keep high dimension) ◦ Estimating bifurcation ◦ Connecting of linear approximations attractor ▪ Partitioning of chaos attractors Could formulate the dynamics of a group as trajectories on an adaptive geometry Strategy
  10. Challenges and Strategies for Modeling Social Adaptation Challenges1:High dementional dynamamical

    system • Need to low dimensionalization • The game's landscape is dynamic. ◦ A metagame description that allows for rule changes is necessary. ◦ Potential for alternative formulations or approximations. Challenges2:Local optimization for each player (does not align grolverly with theory) • Players do not have complete knowledge of the entire payoff landscape. • Humans do not always act optimally. ◦ It is necessary to evaluate deviations from the optimal theoretical values. • Dimensionality reduction • Estimating the entire system from partial information(From partial to whole) • Emulating local optimization with a group of LLMs New methods for dynamical adaptation LLMs as models of non-rational and imperfect humans Strategy
  11. LLMs as models of non-rational and imperfect humans Strategy [Akata+

    2023] LLMs can adjust non-rational and imperfect aspects through prompts Playing repeated games in an example game of Battle of the Sexes
  12. Challenge 2: What can we ultimately achieve? Strategy Challenges2:Local optimization

    for each player (does not align grolverly with theory) • LLMs can adjust non-rational and imperfect aspects through prompts Could evaluate deviations from the optimal theoretical values using LLM Trajectory with noise Branching induced by noise
  13. Challenges and Strategies for Modeling Social Adaptation Strategy Challenges1:High dementional

    dynamamical system • Need to low dimensionalization • The game's landscape is dynamic. ◦ A metagame description that allows for rule changes is necessary. ◦ Potential for alternative formulations or approximations. Challenges2:Local optimization for each player (does not align grolverly with theory) • Players do not have complete knowledge of the entire payoff landscape. • Humans do not always act optimally. ◦ It is necessary to evaluate deviations from the optimal theoretical values • Dimensionality reduction • Estimating the entire system from partial information(From partial to whole) • Emulating local optimization with a group of LLMs New methods for dynamical adaptation LLMs as models of non-rational and imperfect humans Challenges3:Improveing performance of human collective behavior through artificial agent
  14. LLMs debate improves hallucination and enhances reasoning abilities [Du+ 2023]

    Strategy Debating elementary school math problems The number of agents and the debate rounds improve the accuracy of reasoning
  15. Challenge 3: What can we ultimately achieve? Strategy Challenges3:Improveing of

    human collective behavior through artificial agent • Debate improves hallucination and enhances reasoning abilities ◦ When the problem is made more complex, can increasing the number of agents solve it? ▪ Dose phase transition exist or not? • Artificial agents and robots enhance cooperation among human groups Verbal interventions by agents might facilitate trajectory design Verbal interventions by agents may be used to examine properties of trajectories, such as robustness
  16. Toy model 2: Social Learning in Reinforcement learning N-armed bandit

    problem • Agents have three actions: innovate (non-social learning), observe (social learning), and exploit (rewards are obtained only through exploitation). • Evolution • Temporal changes in the rewards of the bandit Research plan [Rendall+ 2010]
  17. Challenges and Strategies for Modeling Social Adaptation Summary Challenges1:High dementional

    dynamamical system • Need to low dimensionalization • The game's landscape is dynamic. ◦ A metagame description that allows for rule changes is necessary. ◦ Potential for alternative formulations or approximations. Challenges2:Local optimization for each player (does not align grolverly with theory) • Players do not have complete knowledge of the entire payoff landscape. • Humans do not always act optimally. ◦ It is necessary to evaluate deviations from the optimal theoretical values. • Dimensionality reduction • Estimating the entire system from partial information(From partial to whole) • Emulating local optimization with a group of LLMs New methods for dynamical adaptation LLMs as models of non-rational and imperfect humans Challenges3:Improveing performance of human collective behavior through artificial agent
  18. Reference • [Galesic+ 2023] Galesic, Mirta, et al. "Beyond collective

    intelligence: Collective adaptation." Journal of the Royal Society interface 20.200 (2023): 20220736. • [Ezaki+ 2017] Ezaki, Takahiro, et al. "Energy landscape analysis of neuroimaging data." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 375.2096 (2017): 20160287. • [Suzuki & Arita 2024] Suzuki, Reiji, and Takaya Arita. "An evolutionary model of personality traits related to cooperative behavior using a large language model." Scientific Reports 14.1 (2024): 5989. • [Kim+ 2021] Kim, Jason Z., et al. "Teaching recurrent neural networks to infer global temporal structure from local examples." Nature Machine Intelligence 3.4 (2021): 316-323. • [Costa+ 2019] Costa, Antonio C., Tosif Ahamed, and Greg J. Stephens. "Adaptive, locally linear models of complex dynamics." Proceedings of the National Academy of Sciences 116.5 (2019): 1501-1510. • [Akata+ 2023] Akata, Elif, et al. "Playing repeated games with large language models." arXiv preprint arXiv:2305.16867 (2023). • [Du+ 2023] Du, Yilun, et al. "Improving factuality and reasoning in language models through multiagent debate." arXiv preprint arXiv:2305.14325 (2023). • [Sebo+ 2018] Strohkorb Sebo, Sarah, et al. "The ripple effects of vulnerability: The effects of a robot's vulnerable behavior on trust in human-robot teams." Proceedings of the 2018 ACM/IEEE International Conference on Human-Robot Interaction. 2018. • [Rendall+ 2010] Rendell, Luke, et al. "Why copy others? Insights from the social learning strategies tournament." Science 328.5975 (2010): 208-213.