Trajectory Prediction Refinement With Probabilistic Motion Constraints

Resolve Bottlenecks,
Find Innovative Solutions
Generate Solutions

Solution Overview

Problem

Current neural-based trajectory prediction systems for autonomous robotics often deviate from fundamental physical laws of motion, leading to erratic or unpredictable movements, which can cause operational inefficiencies and increased collision risks.

Innovation Solution

Integrate a probabilistic graphical model to refine neural-based trajectory predictions, incorporating factors that enforce smooth trajectories, collision avoidance, and adherence to physical constraints, using methods like Gauss-Newton optimization.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If neural-based trajectory prediction systems are used, then prediction accuracy on average is improved, but reliability of individual predictions deteriorates due to deviations from physical laws

Engineering Contradiction:
Improveprediction accuracyVSAvoidprediction reliability
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

A probabilistic graphical model is introduced as an intermediary between the neural network prediction and the final trajectory output. This mediator refines the neural network's predictions by incorporating physical constraints and motion models, ensuring that the final trajectories are both accurate and physically plausible. The PGM acts as a bridge that translates raw neural predictions into reliable, constraint-satisfying trajectories.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The system changes the parameter representation by moving from direct trajectory predictions to predicting parameters that define trajectories (such as initial velocities, acceleration patterns, and motion coefficients). These parameters are then used to generate trajectories that inherently satisfy physical constraints, improving reliability while maintaining accuracy.

Inventive Principle:
Principle #35Parameter changes

2Device complexity

If purely learned data patterns are used without physical principles, then model simplicity is maintained, but trajectory plausibility deteriorates

Engineering Contradiction:
Improvemodel complexityVSAvoidtrajectory plausibility
Core Design Contradiction:
Device complexityVSReliability

Solution Approach 1:

The trajectory prediction system combines two distinct components: a neural network component that captures data-driven patterns and a probabilistic graphical model component that enforces physical principles. This composite approach integrates the strengths of both data-driven learning and physics-based modeling, producing trajectories that are both accurate and plausible without excessive complexity.

Inventive Principle:
Principle #40Composite materials

Solution Approach 2:

The prediction process is segmented into two distinct stages: first, the neural network generates initial trajectory predictions based on learned patterns; second, the probabilistic graphical model refines these predictions by enforcing physical constraints. This segmentation allows each component to specialize, maintaining overall system simplicity while improving trajectory plausibility.

Inventive Principle:
Principle #1Segmentation

3Speed

If neural-based predictions are used, then processing speed is improved, but operational safety deteriorates due to erratic predictions

Engineering Contradiction:
Improveprocessing speedVSAvoidoperational safety
Core Design Contradiction:
SpeedVSObject-affected harmful factors

Solution Approach 1:

The probabilistic graphical model performs preliminary refinement of trajectories before they are used for operational decision-making. By pre-processing the neural network outputs through physical constraint enforcement, the system eliminates potentially harmful erratic predictions in advance, ensuring that only safe and plausible trajectories are considered for operational actions.

Inventive Principle:
Principle #10Preliminary action

Data Source

PatentUS20250384314A1Refinement of Neural-Based Trajectory Predictions with Probabilistic Graphical Models
Publication Date: 2025.12.18 GDM HOLDING LLC
  • US20250384314A1 patent drawing
  • US20250384314A1 patent drawing
  • US20250384314A1 patent drawing

AI summary

Provided are systems and methods for generating refined agent trajectories, leveraging a combination of neural-based trajectory prediction systems and probabilistic graphical models (PGMs). In particular, example implementations of the present disclosure utilize a probabilistic graphical model to refine agent trajectories initially predicted by a neural-based system, enhancing their adherence to fundamental movement constraints such as smooth trajectory continuity and realistic acceleration patterns. This refinement process ensures that the trajectories are not only more accurate but also comply with certain physical and practical constraints.