A Vector Symbolic Approach to Multiple Instance Learning
- URL: http://arxiv.org/abs/2511.16795v1
- Date: Thu, 20 Nov 2025 20:48:02 GMT
- Title: A Vector Symbolic Approach to Multiple Instance Learning
- Authors: Ehsan Ahmed Dhrubo, Mohammad Mahmudul Alam, Edward Raff, Tim Oates, James Holt,
- Abstract summary: Multiple Instance Learning tasks impose a strict logical constraint: a bag is labeled positive if and only if at least one instance within it is positive.<n>Recent work has shown that most deep learning-based MIL approaches violate it, leading to inflated performance metrics and poor generalization.<n>We propose a novel MIL framework based on Vector Architectures (VSAs), which provide a differentiable mechanism for performing symbolic operations in high-dimensional space.
- Score: 39.59730199795415
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Multiple Instance Learning (MIL) tasks impose a strict logical constraint: a bag is labeled positive if and only if at least one instance within it is positive. While this iff constraint aligns with many real-world applications, recent work has shown that most deep learning-based MIL approaches violate it, leading to inflated performance metrics and poor generalization. We propose a novel MIL framework based on Vector Symbolic Architectures (VSAs), which provide a differentiable mechanism for performing symbolic operations in high-dimensional space. Our method encodes the MIL assumption directly into the model's structure by representing instances and concepts as nearly orthogonal high-dimensional vectors and using algebraic operations to enforce the iff constraint during classification. To bridge the gap between raw data and VSA representations, we design a learned encoder that transforms input instances into VSA-compatible vectors while preserving key distributional properties. Our approach, which includes a VSA-driven MaxNetwork classifier, achieves state-of-the-art results for a valid MIL model on standard MIL benchmarks and medical imaging datasets, outperforming existing methods while maintaining strict adherence to the MIL formulation. This work offers a principled, interpretable, and effective alternative to existing MIL approaches that rely on learned heuristics.
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