TL;DR
SPAR is a self-supervised learning framework that explicitly models sensor placement and signal relationships to improve robustness and generalization in distributed sensing applications.
Contribution
It introduces a novel placement-aware representation learning method using dual reconstruction objectives guided by the placement-signal duality.
Findings
Achieves superior robustness across modalities and placements
Outperforms placement-agnostic methods in generalization
Supported by information-theoretic and occlusion-invariant analyses
Abstract
We present SPAR, a framework for self-supervised placement-aware representation learning in distributed sensing. Distributed sensing spans applications where multiple spatially distributed and multimodal sensors jointly observe an environment, from vehicle monitoring to human activity recognition and earthquake localization. A central challenge shared by this wide spectrum of applications is that observed signals are inseparably shaped by sensor placements, including their spatial locations and structural characteristics. However, existing pretraining methods remain largely placement-agnostic. SPAR addresses this gap through a unifying principle: the duality between signals and positions. Guided by this principle, SPAR introduces spatial and structural positional embeddings together with dual reconstruction objectives, explicitly modeling how observing positions and observed signals…
Peer Reviews
Decision·Submitted to ICLR 2026
+ The formulation isolates a presumably new factor hitherto not considered - the 'structural' information. + Evaluations are very convincing. Results bear out in all the cases considered.
- I understand the proofs and the mathematical language. However, I am totally at a loss as to what these 'structural' factors are. Judging from the paper's language (e.g. "they do not fully represent structural placement conditions, such as the body part a sensor is attached to, or the orientation used for a directional measurement device (e.g., front-facing versus rear-facing camera on an autonomous car") it looks like a graph connecting relational aspects. - The above point makes the paper s
+ This work leverages emerging LLM capabilities as a preprocessing step, combined with multi-objective learning, to address the sensor placement problem. + The method is evaluated on several datasets and includes comparisons against multiple prior approaches. + The paper also attempts to provide theoretical analysis on the performance bound.
- The novelty of this work appears limited. The proposed structural position representation seems to be obtained via standard latent embedding computation, and in the SPAR-LLM variant, the LLM is primarily used as a preprocessing step. Additionally, dual or multi-objective reconstruction is a well-established technique in the literature. - The method uses a neural network to compute an embedding from spatial positions, yet also manually normalizes those spatial inputs. It is unclear why such n
- This paper addresses an interesting but underexplored task in representation learning for distributed sensing systems. - The explicit incorporation of both spatial and structural sensor information through positional embeddings and dual reconstruction objectives is well motivated and reasonable. - The experiments demonstrate consistent and significant improvements over diverse baselines across three real-world multimodal datasets.
- I find the theoretical analysis section somewhat forced. It largely reiterates the problem setup in mathematical form, but does not clearly convey new conclusions or insights. The statement “This encourages the embeddings to be context-aware and jointly informative of both signals and spatial layout, while avoiding memorizing redundant information” is vague and appears to restate an intuitive design goal rather than derive a meaningful theoretical result. Overall, it is not clear how the theor
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