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This research introduces a cycle-consistency framework to improve non-injective regression by jointly optimizing forward and backward models without relying on preset probability distributions. The approach eliminates manual rule design, achieving lower reconstruction errors and better evaluation metrics in unsupervised learning scenarios. While the study offers a data-driven alternative for multi-output modeling tasks, reviewers note that its current contributions may lack the originality required for standalone publication.
Source coveringarXiv
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A Cycle-Consistency Constrained Framework for Dynamic Solution Space Reduction in Noninjective Regression

arXiv2 min read

arXiv:2507.04659v3 Announce Type: replace Abstract: To address the challenges posed by the heavy reliance of multi-output models on preset probability distributions and embedded prior knowledge in non-injective regression tasks, this paper proposes a cycle consistency-based data-driven training framework. The method jointly optimizes a forward model {\Phi}: X to Y and a backward model {\Psi}: Y to X, where the cycle consistency loss is defined as L _cycleb equal L(Y reduce {\Phi}({\Psi}(Y))) (and vice versa). By minimizing this loss, the framework establishes a closed-loop mechanism integrating generation and validation phases, eliminating the need for manual rule design or prior distribution assumptions. Experiments on normalized synthetic and simulated datasets demonstrate that the proposed method achieves a cycle reconstruction error below 0.003, achieving an improvement of approximately 30% in evaluation metrics compared to baseline models without cycle consistency. Furthermore, the framework supports unsupervised learning and significantly reduces reliance on manual intervention, demonstrating potential advantages in non-injective regression tasks.

Abstract:To address the challenges posed by the heavy reliance of multi-output models on preset probability distributions and embedded prior knowledge in non-injective regression tasks, this paper proposes a cycle consistency-based data-driven training framework. The method jointly optimizes a forward model {\Phi}: X to Y and a backward model {\Psi}: Y to X, where the cycle consistency loss is defined as L _cycleb equal L(Y reduce {\Phi}({\Psi}(Y))) (and vice versa). By minimizing this loss, the framework establishes a closed-loop mechanism integrating generation and validation phases, eliminating the need for manual rule design or prior distribution assumptions. Experiments on normalized synthetic and simulated datasets demonstrate that the proposed method achieves a cycle reconstruction error below 0.003, achieving an improvement of approximately 30% in evaluation metrics compared to baseline models without cycle consistency. Furthermore, the framework supports unsupervised learning and significantly reduces reliance on manual intervention, demonstrating potential advantages in non-injective regression tasks.

We think this paper lacks significant originality. It came from the early stages of the team members' academic exploration. While it has some contributions, they're not enough to support the paper. The innovation and contributions of the paper are also insufficient to stand alone

Machine Learning (cs.LG)

arXiv:2507.04659 [cs.LG]

(or arXiv:2507.04659v3 [cs.LG] for this version)

Full text under the publisher's open licence · 205 words

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