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Haojie Luo

Publications and source records attributed to Haojie Luo.

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Diverse Skill Discovery for Quadruped Robots via Unsupervised Learning

Reinforcement learning necessitates meticulous reward shaping by specialists to elicit target behaviors, while imitation learning relies on costly task-specific data. In contrast, unsupervised skill discovery can potentially reduce these burdens by learning a diverse repertoire of useful skills driven by intrinsic motivation. However, existing methods exhibit two key limitations: they typically rely on a single policy to master a versatile repertoire of behaviors without modeling the shared structure or distinctions among them, which results in low learning efficiency; moreover, they are susceptible to reward hacking, where the reward signal increases and converges rapidly while the learned skills display insufficient actual diversity. In this work, we introduce an Orthogonal Mixture-of-Experts (OMoE) architecture that prevents diverse behaviors from collapsing into overlapping representations, enabling a single policy to master a wide spectrum of locomotion skills. In addition, we design a multi-discriminator framework in which different discriminators operate on distinct observation spaces, effectively mitigating reward hacking. We evaluated our method on the 12-DOF Unitree A1 quadruped robot, demonstrating a diverse set of locomotion skills. Our experiments demonstrate that the proposed framework boosts training efficiency and yields an 18.3\% expansion in state-space coverage compared to the baseline.

cs.RO

Long-range four-body interactions in the Hamiltonian mean field model

In this paper, a Hamiltonian mean field model with long-range four-body interactions is proposed. The model describes a long-range mean-field system in which N unit-mass particles move on a unit circle. Each particle theta_i interacts with any three other particles through an infinite-range cosine potential with an attractive interaction (epsilon > 0). By applying a method that remaps the average phase of global particle pairs onto a new unit circle, and using the saddle-point technique, the partition function is solved analytically after introducing four-body interactions, yielding expressions for the free energy f and the energy per particle U. These results were further validated through numerical simulations. The results show that the system undergoes a second-order phase transition at the critical energy U_c. Specifically, the critical energy corresponds to U_c = 0.32 when the coupling constant epsilon = 5, and U_c = 0.63 when epsilon = 10. Finally, we calculated the system's largest Lyapunov exponent lambda and kinetic energy fluctuations Sigma through numerical simulations. It is found that the peak of the largest Lyapunov exponent lambda occurs slightly below the critical energy U_c, which is consistent with the point of maximum kinetic energy fluctuations Sigma. And there is a scaling law of Sigma / N^(1/2) proportional to lambda between them.

cond-mat.stat-mech