Organizations: Harbin Institute of Technology · University of Science and Technology of China · Harbin Engineering University · ShanghaiTech University · Institute of Artificial Intelligence (TeleAI), China Telecom
Humanoid robots often need to balance competing objectives, such as maximizing speed while minimizing energy consumption. While current reinforcement learning (RL) methods can master complex skills like fall recovery and perceptive locomotion, they are constrained by fixed weighting strategies that produce a single suboptimal policy, rather than providing a diverse set of solutions for sophisticated multi-objective control. In this paper, we propose a novel framework leveraging Multi-Objective Reinforcement Learning (MORL) to achieve Preference-Conditioned Humanoid Control (PCHC). Unlike conventional methods that require training a series of policies to approximate the Pareto front, our framework enables a single, preference-conditioned policy to exhibit a wide spectrum of diverse behaviors. To effectively integrate these requirements, we introduce a Beta distribution-based alignment mechanism based on preference vectors modulating a Mixture-of-Experts (MoE) module. We validated our approach on two representative humanoid tasks. Extensive simulations and real-world experiments demonstrate that the proposed framework allows the robot to adaptively shift its objective priorities in real-time based on the input preference condition.
Figures & tables
Fig. 1 : PCHC integrates MORL with humanoid control tasks which enables the robot perform different multi-objective preference-aligned behaviors given preference vector λ . For example, PCHC enables the robot to balance stride length and disturbance resistance in the humanoid walking task.
Fig. 2 : Overview of the proposed PCHC framework. PCHC adopts multiple critics and employs a Preference Condition Injection module based on a preference-parameterized Beta distribution achieving multi-objective control on two humanoid control tasks.
Fig. 3 : In two-objective space: (a) Hypervolume is represented with the shaded area bounded by the Pareto points and the reference point. (b) Sparsity measures the average square distance between consecutive points.
TABLE I : Performance evaluation on the fall recovery task.
TABLE II : Performance evaluation on the locomotion task.
Fig. 4 : The performance of our policy with different preference vector λ on Fall Recovery and Walking task.
Fig. 5 : Demonstration of dynamic preference switching during task execution. The preference vector λ is instantaneously adjusted from [0.0, 1.0] to [1.0, 0.0].
Fig. 6 : Ablation study comparing our PCI module (w/ PCI) against a standard trainable gating network (w/o PCI).
Fig. 7 : Real world experiments results of fall recovery task on a Unitree G1 robot.
Fig. 8 : Objective space evaluation of PCHC, Fixed λ policies, and Baseline.
Reinforcement Learning (RL) systems are typically trained using a single, well-specified scalar reward function. However, real-world decision-making tasks often involve multiple, competing objectives, such as performance versus efficiency, where ground-truth reward functions are difficult to specify or inaccessible. While Multi-Objective RL (MORL) addresses such trade-offs by modeling rewards as vectors, existing approaches typically assume access to a well-specified reward function for each objective, inheriting the same challenges faced by single-objective RL. Meanwhile, Preference-based RL (PbRL) has shown great potential in solving complex tasks without access to a pre-defined reward function through reward learning from human feedback, yet has largely been studied in single-objective settings. In this work, we bridge this gap with LEMUR: Learning to Align with Multi-Objective Reinforcement Learning with Preference feedback, a novel framework where an agent interactively learns from the preferences of multiple humans to learn optimal multi-objective policies. Our approach jointly learns policies and multiple objective-specific reward models from human feedback, enabling agents to effectively balance competing objectives during learning. We evaluate LEMUR on a variety of benchmark multi-objective tasks, and empirical results demonstrate its superior performance over baseline methods. Our method presents a promising direction for solving multi-objective decision-making tasks without pre-defined reward functions.
Manith Adikari, Bei Peng, Samuele Vinanzi +1
Department of Computer Science, University of Manchester · Centre for Robotics & AI, University of Manchester · School of Computer Science, University of Sheffield +1
Multi-objective reinforcement learning (MORL) allows a user to express preference over outcomes in terms of the relative importance of the objectives, but standard metrics cannot capture whether changes in preference reliably change the agent's behavior in the intended way, a property termed controllability. As a result, preference-conditioned agents can score well on standard MORL metrics while being insensitive to the preference input. If the ability to control agents cannot be reliably assessed, the symbolic interface that MORL provides between user intent and agent behavior is broken. Mainstream MORL metrics alone fail to measure the controllability of preference-conditioned agents, motivating a complementary metric specifically designed to that end. We hope the results spur discussion in the community on existing evaluation protocols to consolidate advances in preference adaptation in MORL to larger and more complex problems.
Pau de las Heras Molins, Beyazit Yalcinkaya, Lasse Peters +2
LTCI, Télécom Paris, Institut Polytechnique de Paris · University of California, Berkeley · TU Delft +1
Many sequential decision-making tasks involve optimizing multiple conflicting objectives, requiring policies that adapt to different user preferences. In multi-objective reinforcement learning (MORL), one widely studied approach} addresses this by training a single policy network conditioned on preference-weighted rewards. In this paper, we explore a novel algorithmic perspective: leveraging reward-free reinforcement learning (RFRL) for MORL. While RFRL has historically been studied independently of MORL, it learns optimal policies for any possible reward function, making it a natural fit for MORL's challenge of handling unknown user preferences. We propose using the RFRL's training objective as an auxiliary task to enhance MORL, enabling more effective knowledge sharing beyond the multi-objective reward function given at training time. To this end, we adapt a state-of-the-art RFRL algorithm to the MORL setting and introduce a preference-guided exploration strategy that focuses learning on relevant parts of the environment. Through extensive experiments and ablation studies, we demonstrate that our approach significantly outperforms the state-of-the-art MORL methods across diverse MO-Gymnasium tasks, achieving superior performance and data efficiency. This work provides the first systematic adaptation of RFRL to MORL, demonstrating its potential as a scalable and empirically effective solution to multi-objective policy learning.
Ying-Tu Chen, Wei Hung, Bing-Shu Wu +2
National Yang Ming Chiao Tung University, Hsinchu, Taiwan · Massachusetts Institute of Technology