IPPRO: Importance-based Pruning with PRojective Offset for Magnitude-indifferent Structural Pruning
Jaeheun Jung, Jaehyuk Lee, Yeajin Lee, Donghun Lee

TL;DR
This paper introduces IPPRO, a novel importance-based structured pruning method that uses projective space to fairly evaluate filters, reducing performance loss and challenging the size-based pruning bias.
Contribution
It proposes a new importance score in projective space and a pruning strategy that mitigates magnitude bias, improving pruning effectiveness.
Findings
Achieves near-lossless pruning with minimal performance drop.
Outperforms traditional magnitude-based pruning methods.
Expands understanding of importance criteria in neural network pruning.
Abstract
With the growth of demand on neural network compression methods, the structured pruning methods including importance-based approach are actively studied. The magnitude importance and many correlated modern importance criteria often limit the capacity of pruning decision, since the filters with larger magnitudes are not likely to be pruned if the smaller one didn't, even if it is redundant. In this paper, we propose a novel pruning strategy to challenge this dominating effect of magnitude and provide fair chance to each filter to be pruned, by placing it on projective space. After that, we observe the gradient descent movement whether the filters move toward the origin or not, to measure how the filter is likely to be pruned. This measurement is used to construct PROscore, a novel importance score for IPPRO, a novel importance-based structured pruning with magnitude-indifference. Our…
Peer Reviews
Decision·Submitted to ICLR 2026
The only strength of the article, in my opinion, is that it attempts to address a very timely problem is neural net.
The papers has several major weaknesses. 1. First and foremost, the description of the proposed method is very poor. It is very difficult to understand what is going on. I do not think a reader would be able to implement the algorithm from the description given in the paper. Specifically, I do not find the following critical information. A) When does it stop taking the filters out from the net? B) What happens if all filters are removed from a layer and how does the approach handle layer
- Based on the empirical section of the paper, the method clearly works very well. - The experiments and results are convincing and well put together. - The scoring function (4) is interesting.
- The paper starts from the following axiom: when it comes to pruning a NN, the idea that the magnitude of the parameters of the NN is important is a myth (143-145), and “magnitude-invariant” methods must be developed. There is a mathematical and a motivational problem with this perspective: - Mathematical: What operation are involved in a forward pass through a NN? Lots of additions and multiplications, ReLU and softmax to name the most important. Addition, multiplication by positive numbers,
**1. Clear and principled formulation of scale invariance through projective geometry** The paper formalizes magnitude-independent pruning not as heuristic normalization but as a property of the underlying space. By embedding filters into a projective space, the method guarantees scale invariance at the definition level, providing a clean and mathematically grounded justification for direction-based importance. **2. Unified pruning framework applicable across architectures** The same projecti
**1. Direction-based pruning has been extensively explored in prior work** Several recent methods such as Torque, Catalyst, and geometric pruning already focus on gradient direction rather than magnitude. IPPRO provides a cleaner mathematical reformulation but does not introduce a fundamentally new optimization insight. **2. Limited theoretical gain from adopting projective geometry** Although the paper frames pruning in the language of projective geometry, the practical effect largely reduce
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Taxonomy
TopicsModular Robots and Swarm Intelligence · Advanced Image and Video Retrieval Techniques · Robotics and Automated Systems
