arXiv:2604. 18572v2 Announce Type: replace-cross Abstract: The Platonic Representation Hypothesis suggests that neural networks trained on different modalities (e.
By A. Sophia Koepke, Daniil Zverev, Shiry Ginosar, Alexei A. Efros
arXiv:2609.24209v1 Announce Type: new
Abstract: The Platonic Representation Hypothesis (PRH) claims that independently trained models converge on a shared statistical model of reality, yet recent wor...
By Chenming Shang, Yujin Tang, Jun Jie Ou Yang, Ruize Xu, Adam Breuer, Nikhil Singh
The Platonic Representation Hypothesis (PRH) claims that independently trained models converge on a shared statistical model of reality, yet recent work finds only weak pointwise similarity between mo...
arXiv:2509. 07295v4 Announce Type: replace-cross Abstract: Unified multimodal models (UMMs) unify visual understanding and generation within a single architecture.
By Ji Xie, Trevor Darrell, Luke Zettlemoyer, XuDong Wang
The paper proposes that independently trained multimodal models often share a common geometric structure, allowing cross‑modal alignment without paired data. Using a Wasserstein Procrustes approach with a coarse geometric initialization, the authors align two disjoint embedding sets by estimating a single orthogonal map, achieving consistent alignment across datasets and modalities. While paired examples can further improve performance, the method already outperforms existing techniques in the few‑pair regime and enables text‑to‑image generation without paired data.
By Dominik Schnaus, Thomas Dag\`es, Daniel Cremers, Xi Wang, Phillip Isola
The paper introduces the Lattice Representation Hypothesis (LRH) to explain why different alignment criteria—such as neighbor overlap, spanning trees, and distances—yield varying views on model representation convergence. It shows that the Platonic Representation Hypothesis (PRH) reflects agreement at the top of a lattice, while evidence comes from criteria near the bottom, and that the Aristotelian Representation Hypothesis (ARH) limits convergence to local neighborhoods due to calibration effects. Experiments on numerous pretrained vision and language models, along with theoretical analyses of linear autoencoders and contrastive Gibbs models, support the LRH’s claim that training procedures and objectives determine which criteria are reliably met across runs.
By Dai Shi, Andi Han, Xiaoyu Li, Luke Thompson, Jos\'e Miguel Hern\'andez-Lobato