{
  "description": "tau vs CKA divergence cases \u2014 where they disagree",
  "type_a_high_cka_low_tau": [
    {
      "pair": "beit_large_patch16_224 <-> vit_large_patch16_224.mae",
      "cka": 0.654,
      "tau": 0.0,
      "s_local": 0.123,
      "regime": "Local-Only"
    },
    {
      "pair": "beit_base_patch16_224 <-> vit_large_patch16_224.mae",
      "cka": 0.636,
      "tau": 0.0,
      "s_local": 0.109,
      "regime": "Local-Only"
    },
    {
      "pair": "clip_vitl14 <-> convnext_base",
      "cka": 0.599,
      "tau": 0.009,
      "s_local": 0.276,
      "regime": "Local-Only"
    },
    {
      "pair": "clip_vitl14 <-> swin_base_patch4_window7_224",
      "cka": 0.609,
      "tau": 0.02,
      "s_local": 0.278,
      "regime": "Local-Only"
    },
    {
      "pair": "clip_vitl14 <-> convnext_large",
      "cka": 0.59,
      "tau": 0.009,
      "s_local": 0.286,
      "regime": "Local-Only"
    },
    {
      "pair": "clip_vitl14 <-> vit_large_patch16_224",
      "cka": 0.582,
      "tau": 0.005,
      "s_local": 0.256,
      "regime": "Local-Only"
    },
    {
      "pair": "dinov2_vitb14 <-> swin_base_patch4_window7_224",
      "cka": 0.645,
      "tau": 0.082,
      "s_local": 0.392,
      "regime": "Local-Only"
    },
    {
      "pair": "clip_vitl14 <-> dinov2_vits14",
      "cka": 0.564,
      "tau": 0.006,
      "s_local": 0.27,
      "regime": "Local-Only"
    }
  ],
  "type_b_low_cka_high_tau": [
    {
      "pair": "beit_large_patch16_224 <-> resnet50",
      "cka": 0.302,
      "tau": 0.356,
      "regime": "Local-Only"
    },
    {
      "pair": "dinov2_vitg14 <-> mixer_b16_224",
      "cka": 0.37,
      "tau": 0.326,
      "regime": "Local-Only"
    },
    {
      "pair": "dinov2_vitg14 <-> resnet50",
      "cka": 0.395,
      "tau": 0.354,
      "regime": "Local-Only"
    },
    {
      "pair": "dinov2_vitl14 <-> mixer_b16_224",
      "cka": 0.374,
      "tau": 0.317,
      "regime": "Local-Only"
    }
  ],
  "type_c_similar_cka_different_tau": [
    {
      "pair1": {
        "name": "clip_vitl14 <-> vit_large_patch16_224",
        "cka": 0.582,
        "tau": 0.005
      },
      "pair2": {
        "name": "efficientnet_b0 <-> mixer_b16_224",
        "cka": 0.601,
        "tau": 0.619
      },
      "tau_gap": 0.614
    },
    {
      "pair1": {
        "name": "clip_vitl14 <-> convnext_large",
        "cka": 0.59,
        "tau": 0.009
      },
      "pair2": {
        "name": "efficientnet_b0 <-> mixer_b16_224",
        "cka": 0.601,
        "tau": 0.619
      },
      "tau_gap": 0.61
    },
    {
      "pair1": {
        "name": "clip_vitl14 <-> convnext_base",
        "cka": 0.599,
        "tau": 0.009
      },
      "pair2": {
        "name": "efficientnet_b0 <-> mixer_b16_224",
        "cka": 0.601,
        "tau": 0.619
      },
      "tau_gap": 0.61
    },
    {
      "pair1": {
        "name": "clip_vitl14 <-> swin_base_patch4_window7_224",
        "cka": 0.609,
        "tau": 0.02
      },
      "pair2": {
        "name": "efficientnet_b0 <-> mixer_b16_224",
        "cka": 0.601,
        "tau": 0.619
      },
      "tau_gap": 0.598
    },
    {
      "pair1": {
        "name": "clip_vitb16 <-> clip_vitb32",
        "cka": 0.713,
        "tau": 0.744
      },
      "pair2": {
        "name": "convnext_base <-> vit_large_patch16_224",
        "cka": 0.693,
        "tau": 0.155
      },
      "tau_gap": 0.589
    }
  ],
  "spearman_tau_cka": 0.721,
  "variance_tau_unexplained_by_cka": 0.48
}