{"id":"arxiv:2602.14486","title":"Revisiting the Platonic Representation Hypothesis: An Aristotelian View","date":"2026-02-16","section":"Representation alignment","quality":0.336074,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/","source_url":"https://arxiv.org/abs/2602.14486","text_available":true,"authors":["Fabian Gröger","Shuo Wen","Maria Brbić"],"outgoing":[{"source":"arxiv:2602.14486","target":"arxiv:2007.02789","evidence":"title","id":"arxiv:2007.02789","title":"Comparing representational geometries using whitened unbiased-distance-matrix similarity","url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/1c8778896169013495269ae2f98737d8338cf63d6943e50f134deef61ddf7e62/"},{"source":"arxiv:2602.14486","target":"arxiv:2405.01012","evidence":"id","id":"arxiv:2405.01012","title":"Correcting Biased Centered Kernel Alignment Measures in Biological and Artificial Neural 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setup","offset":10783,"level":2,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-1.html#text"},{"title":"3.1 Representation spaces and similarity score","offset":10803,"level":3,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-1.html#text"},{"title":"3.2 The null hypothesis of independence","offset":12059,"level":3,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-1.html#text"},{"title":"Assumption 3.1 (Exchangeability under the null) .","offset":12717,"level":6,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-1.html#text"},{"title":"3.3 Baseline problem: non-zero null expectations","offset":13346,"level":3,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-1.html#text"},{"title":"4 Theoretical motivation: spurious alignment","offset":14006,"level":2,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-1.html#text"},{"title":"4.1 The width confounder","offset":14370,"level":3,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-1.html#text"},{"title":"Proposition 4.1 (Non-vanishing null interaction energy) .","offset":15182,"level":6,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-1.html#text"},{"title":"Neighborhood metrics follow a different regime.","offset":16728,"level":5,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-2.html#text"},{"title":"Proposition 4.2 (Null baseline for neighborhood metrics) .","offset":17007,"level":6,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-2.html#text"},{"title":"4.2 The depth confounder","offset":18347,"level":3,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-2.html#text"},{"title":"5 Representational similarity calibration","offset":21758,"level":2,"url":"https://vinnik-dmitry07.github.io/favorite-papers/agents/papers/7f56b2d833094d17524bf9ad90c5d16bc602e9888589afd624ae8efc3f9d9fc0/part-2.html#text"},{"title":"5.1 Null-calibrated 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