Towards Reliable Detection of Empty Space: Conditional Marked Point Processes for Object Detection
Tobias J. Riedlinger, Kira Maag, Hanno Gottschalk

TL;DR
This paper introduces a probabilistic object detection model based on marked point processes, providing reliable confidence estimates for empty space detection crucial for safety in autonomous driving.
Contribution
It presents a novel spatial statistical framework for object detection that offers calibrated uncertainty estimates for empty regions, addressing limitations of traditional neural network-based methods.
Findings
Improved calibration of confidence estimates for empty space detection
Enhanced safety assessment in autonomous driving scenarios
Effective likelihood-based training for spatial object modeling
Abstract
Deep neural networks have set the state-of-the-art in computer vision tasks such as bounding box detection and semantic segmentation. Object detectors and segmentation models assign confidence scores to predictions, reflecting the model's uncertainty in object detection or pixel-wise classification. However, these confidence estimates are often miscalibrated, as their architectures and loss functions are tailored to task performance rather than probabilistic foundation. Even with well calibrated predictions, object detectors fail to quantify uncertainty outside detected bounding boxes, i.e., the model does not make a probability assessment of whether an area without detected objects is truly free of obstacles. This poses a safety risk in applications such as automated driving, where uncertainty in empty areas remains unexplored. In this work, we propose an object detection model…
Peer Reviews
Decision·ICLR 2026 Poster
* The paper contributes to the important study of uncertainty-based object detection, which is highly relevant for autonomous driving and robotics applications. * It is clearly written and easy to follow; the main idea of the proposed method is intuitive, and the limitations of prior approaches are well described. * The proposed probabilistic framework is principled and mathematically grounded, providing a coherent way to quantify uncertainty for both detected objects and empty regions.
* The experimental evaluation is relatively narrow, focusing mainly on the Cityscapes dataset; testing on additional datasets (e.g., KITTI, BDD100K) would better demonstrate generalization to diverse environments and scene layouts. The same experimental protocol could also be extended to 3D object detection tasks using datasets such as nuScenes or Waymo, which would show whether the proposed probabilistic modeling scales to spatially richer domains. * The claimed improvement in calibration woul
- Theoretical Novelty: The derivation of the object detection task from the theory of marked point processes is mathematically grounded and offers a different perspective compared to standard heuristic-based loss functions. - Addressing an Overlooked Problem: attempting to quantify the uncertainty of regions without detections is a relevant topic for safety-critical applications.
- Questionable Problem Formulation: The paper heavily prioritizes calibration over standard accuracy metrics. However, calibration does not mean high accuracy. The premise that drivable area requires such a complex probabilistic setup is not entirely convincing; in many standard applications, drivable area is effectively treated as a discrete distribution for decision-making. The experimental setting for calibration appears somewhat contrived to highlight the proposed method's strengths while ig
Principled probabilistic formulation. - Clear derivation of a likelihood (negative log-RN) for (marked) point processes → a coherent objective for detection and void confidence, instead of ad-hoc objectness + CE/L1. The derivation and discretization details are explicit. Operational “empty-space” probability. - Two definitions (no centers in A; no boxes intersecting A) lead to computable expressions, incl. a practical Laplace-based integral for box intersection (Eq. 10–12). This directly targ
Modeling assumptions (independence / PPP). - A PPP ignores interactions (e.g., repulsion/occlusion between objects). Authors note this in limitations; nonetheless, it undercuts realism and may bias void probabilities in crowded scenes. Extending to Gibbs/repulsive processes or Cox processes would strengthen claims. Empirical scope is narrow. - Only two datasets (Cityscapes, VisDrone), limited classes; no distribution-shift tests, no multi-seed variance, and little analysis of sensitivity to
Code & Models
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPoint processes and geometric inequalities
MethodsSparse Evolutionary Training
