Author: Denis Avetisyan
New research details a hierarchical framework for predicting both human movements and actions, paving the way for robots that can proactively assist their human partners.

This paper presents MA-HERP, a novel approach to jointly estimating and predicting human behavior in collaborative robotic scenarios using factor graphs and recursive estimation.
Predicting human behavior remains a fundamental challenge in robotics, particularly the need to reason about both continuous movement and discrete actions in a unified manner. This paper, ‘Joint Prediction of Human Motions and Actions in Human-Robot Collaboration’, addresses this limitation by introducing [latex]MA-HERP[/latex], a hierarchical and recursive probabilistic framework for jointly estimating and predicting human movements and actions. The model leverages temporal constraints and probabilistic factorisation to achieve robust action inference and accurate motion prediction, demonstrating preliminary success with musculoskeletal simulations. Could this approach pave the way for more fluent and proactive human-robot collaboration in complex, real-world scenarios?
Beyond Trajectory: Understanding the Intent Behind Movement
Conventional analyses of human movement frequently reduce actions to mere trajectories – sequences of positions over time – overlooking the crucial element of intent. This simplification neglects the fact that a person doesn’t simply move to a location, but in order to achieve a goal. Consider reaching for a glass of water: a trajectory-based approach would record the hand’s path, while a complete understanding requires recognizing the purpose – hydration – which shapes the movement’s speed, precision, and even the anticipatory adjustments made for potential obstacles. This focus on ‘how’ rather than ‘why’ limits the ability of artificial systems to truly interpret and predict human behavior, failing to account for the complex interplay of cognitive goals, environmental context, and learned motor skills that define even the most basic actions.
Human movement isn’t merely a sequence of positions in space; it’s a sophisticated interplay between how a motion happens and what it accomplishes. Researchers are increasingly focused on the necessity of modeling both the continuous, fluid aspects of movement – the velocity, acceleration, and subtle adjustments – and the discrete actions those movements intend to achieve, such as grasping an object, opening a door, or signaling a request. This requires going beyond simply tracking a limb’s path; it demands interpreting the underlying goal. Consider, for example, a reaching motion: the precise trajectory varies based on obstacles and individual style, yet the ultimate aim-to interact with a specific target-remains constant. Effectively capturing this duality – the ‘how’ and the ‘what’ – is proving essential for building systems that can truly understand and predict human behavior, moving beyond simple kinematic analysis towards a more holistic comprehension of intention and action.
The development of genuinely adaptive and collaborative robots hinges on a crucial integration: the ability to not just react to human movement, but to understand its purpose. Current robotic systems often excel at tracking the physical path of an action, yet struggle when faced with ambiguity or unexpected variations because they lack the capacity to infer the underlying goal. Successfully bridging the gap between tracking how a motion occurs and determining what action it achieves enables robots to anticipate human needs, proactively offer assistance, and seamlessly integrate into human workflows. This necessitates advanced algorithms capable of modeling intent, predicting future actions, and dynamically adjusting robotic behavior-transforming robots from simple tools into true collaborative partners.
The limitations of current robotic systems in collaborative settings stem from an inability to reliably predict human actions. Without an integrated understanding of movement – encompassing both the continuous unfolding of a gesture and the discrete goal it serves – robots are effectively blind to underlying intent. This deficiency manifests as clumsy interactions, requiring constant human correction and limiting the potential for true partnership. Robots operating without this unified framework struggle to differentiate between accidental motions and purposeful actions, hindering their capacity to anticipate needs or offer timely assistance. Consequently, collaborative tasks become inefficient, and the potential for robots to seamlessly integrate into human workflows remains unrealized; a truly adaptive robot requires a holistic perception of human behavior, moving beyond simple trajectory tracking to infer and respond to the ‘why’ behind each action.
![MA-HERP organizes movements hierarchically, with continuous segments at level 0 and discrete actions at levels [latex]h \geq 1[/latex], defining temporal relationships using Allen’s interval algebra.](https://arxiv.org/html/2604.03065v1/AIM2026/images/hierarchy.png)
Structuring Action: A Hierarchical Framework for Prediction
A hierarchical representation for action prediction necessitates the organization of movement data across multiple levels of abstraction. Low-level trajectories, encompassing raw kinematic data such as joint angles and velocities, are not directly interpreted as actions; instead, these trajectories constitute the foundational elements. These elements are then aggregated and linked to represent intermediate-level phases, such as reaching, grasping, or foot placement. Finally, these phases are combined to define high-level actions – for example, “picking up a cup” or “walking towards a door”. This structure allows the system to move beyond simply recognizing patterns in raw data and facilitates the understanding of the temporal dependencies and relationships between different movement components and the overall intended action.
Allen’s Interval Algebra (IA) provides a formal system for representing and reasoning about temporal relations between events, specifically useful in defining the timing of action phases and their constituent movements. IA defines thirteen possible relations between two intervals, including ‘before’, ‘after’, ‘overlaps’, ‘meets’, and ‘during’. Applying IA to action prediction involves representing each movement phase and action as an interval, then establishing the temporal relationships between them. For example, the ‘grasp’ movement phase must ‘before’ the ‘lift’ action. This formalization allows for explicit encoding of temporal constraints, enabling systems to not only recognize when an action occurs but also to predict how it will unfold based on established temporal orderings, and to differentiate between plausible and implausible movement sequences.
Traditional action prediction often relies on identifying correlations between observed movements and labeled actions, which is susceptible to errors when faced with novel or slightly varied behaviors. Explicitly modeling the relationships between movement phases and actions – such as pre-conditions, sequential dependencies, and temporal constraints – allows for a representational shift from correlation to causal understanding. This modeling clarifies why a particular movement supports a specific action, rather than simply that they frequently occur together. Consequently, the system can infer intent even when faced with incomplete or ambiguous kinematic data, and generalize more effectively to unseen action instances by reasoning about the underlying structure of the behavior.
A structured representation of movement data, incorporating hierarchical relationships between low-level trajectories and high-level actions, is fundamental to achieving accurate action prediction. This is because explicitly modeling temporal dependencies-such as the order and duration of movement phases within an action-allows the system to move beyond identifying correlations to inferring causal relationships. Consequently, the system can anticipate future actions with greater reliability, even in the presence of incomplete or noisy data. The predictive capability is directly proportional to the granularity and accuracy of the structured representation, enabling the system to differentiate between similar actions and predict nuanced variations in behavior.
![The generated motion (black) successfully navigates the configuration spaces for the sequence of movements [latex] extsf{I} o extsf{C}[/latex], [latex] extsf{C} o extsf{A}[/latex], and [latex] extsf{A} o extsf{B}[/latex], as demonstrated by the alignment with predicted trajectories (red).](https://arxiv.org/html/2604.03065v1/AIM2026/images/Action3_joints.jpg)
MA-HERP: A Unified Framework for Estimation and Prediction
Movement-Action Hierarchical Estimation and Recursive Prediction (MA-HERP) presents a unified framework for simultaneously estimating ongoing actions from continuous movement trajectories and predicting future movement. Unlike traditional approaches that often treat movement and action recognition as separate tasks, MA-HERP integrates these processes through a probabilistic model. This integration allows the system to leverage the inherent relationship between how a person moves and what they intend to do. The framework achieves this by representing both movement and action as nodes within a factor graph, enabling the propagation of information between these modalities during both estimation and prediction. This hierarchical structure allows for refinement of action estimates as more movement data becomes available, contributing to improved accuracy and earlier intent inference.
The Movement-Action Hierarchical Estimation and Recursive Prediction (MA-HERP) framework represents the relationship between continuous movement data and discrete action labels using a joint probabilistic model. This model explicitly defines the probabilistic dependencies between observed movements, inferred actions, and future predicted states. Implementation relies on a factor graph, a graphical model that decomposes the joint probability distribution into a product of factors, each representing a local constraint or relationship. The factor graph facilitates efficient inference and estimation via message passing algorithms, allowing the system to update its beliefs about the agent’s intended action and future movements as new data becomes available. This representation allows for the incorporation of prior knowledge about typical movement patterns and action sequences, improving the robustness and accuracy of both estimation and prediction.
MA-HERP incorporates recursive estimation to continuously update movement predictions based on incoming data. This process utilizes a Bayesian filtering approach, iteratively refining the estimated trajectory as new observations become available. In simulations with noise-free data, this recursive refinement results in a movement prediction accuracy approaching 100%, indicating a high degree of fidelity between predicted and actual movement paths. The framework’s ability to assimilate new data in this manner allows for real-time adaptation and precise tracking of the agent’s intended trajectory.
Evaluations of the Movement-Action Hierarchical Estimation and Recursive Prediction (MA-HERP) framework demonstrate a high degree of accuracy in action prediction when processing noise-free data. Specifically, MA-HERP achieves an F1-score of approximately 0.95, indicating strong performance in inferring the intended action from observed movement. Importantly, the framework is capable of converging on the likely intent prior to the completion of the observed motion sequence for a subset of initial conditions, enabling proactive inference and prediction.

Beyond Prediction: Towards Robust Human-Robot Collaboration
Movement prediction is a cornerstone of effective human-robot collaboration, and the MA-HERP system demonstrates a substantial leap forward in this field. Unlike prior approaches vulnerable to real-world disturbances, MA-HERP maintains a high degree of accuracy even when confronted with significant noise and uncertainty in human movements. This robustness stems from its sophisticated architecture, which doesn’t simply rely on clean, idealized motion data; instead, it’s designed to filter and interpret imperfect signals, effectively discerning intended actions from unintentional jitter or environmental interference. The system’s ability to accurately anticipate human movements – even under challenging conditions – is crucial for creating robots that can respond intuitively and safely, fostering a more natural and productive partnership between humans and machines.
Movement prediction benefits significantly from integrating sophisticated deep learning architectures, notably attention mechanisms and recurrent neural networks. These techniques move beyond simply registering kinematic data; instead, they allow the system to dynamically prioritize the most salient features of an observed movement. Attention mechanisms function like a spotlight, focusing computational resources on the parts of a motion that are most indicative of the intended action, while recurrent neural networks excel at processing sequential data, recognizing patterns and dependencies over time. By selectively weighting relevant movement characteristics and considering the temporal context, these advanced methods substantially improve the accuracy and robustness of prediction, enabling a more nuanced understanding of human intent during collaborative tasks.
Despite demonstrating strong predictive capabilities across most human actions, the system exhibits a notable limitation when classifying action category B, achieving only 15% accuracy even while maintaining above 0.86 recall for actions A and C under noisy conditions. This discrepancy suggests that the features currently used to characterize action B are either insufficiently distinct from those of other actions, or that the training data lacks sufficient representation of the variations inherent in its execution. Further research will focus on refining the feature extraction process specific to action B, potentially incorporating additional sensor data or employing more sophisticated machine learning algorithms capable of discerning subtle differences in movement patterns – ultimately striving for a more balanced and reliable prediction performance across all action categories.
The practicality of advanced movement prediction hinges not only on accuracy, but also on computational efficiency, and the MA-HERP system demonstrably excels in this regard. Processing times for predicting human movement remain consistently within the microsecond range, exhibiting negligible variance across trials. This minimal computational burden renders the system ideally suited for deployment in real-time applications, such as collaborative robotics where immediate responsiveness is crucial. By enabling robots to anticipate human actions with both precision and speed, MA-HERP fundamentally advances the prospect of seamless, intuitive human-robot interaction, fostering a collaborative environment where tasks are completed more efficiently and safely through shared understanding and proactive assistance.
The pursuit of seamless human-robot collaboration, as detailed in this work, demands a system capable of anticipating human intent – a continuous estimation and prediction of both movement and action. This echoes Bertrand Russell’s observation: “The only way to deal with an unfree people is to treat them as if they were free.” Similarly, MA-HERP doesn’t dictate human action, but rather predicts it, allowing the robot to respond as if it understands the operator’s intentions. By employing a hierarchical modeling approach and recursive estimation, the framework seeks to build a responsive system – one where infrastructure evolves without rebuilding the entire block, accommodating the nuances of human behavior within a collaborative environment. This predictive capability is crucial for achieving true fluency and avoiding disruptive interventions.
Where the Path Leads
The pursuit of fluent human-robot collaboration, as exemplified by this work, invariably reveals the limitations inherent in attempting to model complex systems with finite representations. MA-HERP offers a compelling hierarchical structure, but the very act of defining ‘actions’ and ‘movements’ as discrete units introduces an artificial rigidity. A slight perturbation in the initial state – a momentary hesitation, an unexpected glance – and the carefully constructed predictive architecture must recalibrate, potentially cascading errors through the system. The elegance of the factor graph belies the messy reality of human intention.
Future iterations will likely necessitate a move beyond discrete action recognition towards continuous representations of intent. Consider the challenge of ambiguity: a hand reaching for an object could signify cooperation, obstruction, or a simple readjustment. Disentangling these possibilities requires not merely recognizing what is happening, but inferring why. This demands a deeper integration of contextual awareness and a more nuanced understanding of the human cognitive architecture – a shift from predicting behavior to anticipating motivation.
Ultimately, the success of such systems will not be measured by their predictive accuracy, but by their ability to gracefully handle the inevitable failures. A truly collaborative robot will not strive for perfect prediction, but for adaptive response – a willingness to yield, to learn, and to accept the inherent unpredictability of human agency. The aim should not be to control the interaction, but to co-evolve within it.
Original article: https://arxiv.org/pdf/2604.03065.pdf
Contact the author: https://www.linkedin.com/in/avetisyan/
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2026-04-06 20:14