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"""
BASE TIER SOUP ANALYSIS
========================
Load the trained 800K param soup and examine:
- Anchor geometry on the 128-d hypersphere
- Projector alignment (do the 3 experts converge?)
- Triangulation patterns (which anchors are used?)
- Patchwork compartment activation profiles
- Per-expert projected distributions
- CV and volume geometry of the learned space
- Per-class anchor affinity (which anchors serve which COCO classes?)
"""
import torch
import torch.nn as nn
import torch.nn.functional as F
import numpy as np
import math
import os
import gc
DEVICE = "cuda" if torch.cuda.is_available() else "cpu"
D_EXPERT = 768
D_ANCHOR = 128
N_ANCHORS = 256
N_CLASSES = 80
N_COMP = 8
D_COMP = 64
EXPERTS = ["clip_l14_openai", "dinov2_b14", "siglip_b16_384"]
print("=" * 65)
print("BASE TIER SOUP ANALYSIS")
print(f" Device: {DEVICE}")
print("=" * 65)
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# LOAD MODEL + DATA
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# Rebuild model class (minimal, for loading)
class ExpertProjector(nn.Module):
def __init__(self, d_in=D_EXPERT, d_out=D_ANCHOR):
super().__init__()
self.proj = nn.Sequential(nn.Linear(d_in, d_out), nn.LayerNorm(d_out))
def forward(self, x):
return F.normalize(self.proj(x), dim=-1)
class Constellation(nn.Module):
def __init__(self, n_anchors=N_ANCHORS, d=D_ANCHOR):
super().__init__()
self.n_anchors = n_anchors
self.anchors = nn.Parameter(F.normalize(torch.randn(n_anchors, d), dim=-1))
def triangulate(self, emb):
a = F.normalize(self.anchors, dim=-1)
cos = emb @ a.T
return 1.0 - cos, cos.argmax(dim=-1)
class Patchwork(nn.Module):
def __init__(self, n_anchors=N_ANCHORS, n_comp=N_COMP, d_comp=D_COMP):
super().__init__()
self.n_comp = n_comp
asgn = torch.arange(n_anchors) % n_comp
self.register_buffer("asgn", asgn)
self.comps = nn.ModuleList([nn.Sequential(
nn.Linear((asgn == k).sum().item(), d_comp * 2), nn.GELU(),
nn.Linear(d_comp * 2, d_comp), nn.LayerNorm(d_comp))
for k in range(n_comp)])
def forward(self, tri):
return torch.cat([self.comps[k](tri[:, self.asgn == k])
for k in range(self.n_comp)], -1)
class BaseTierSoup(nn.Module):
def __init__(self):
super().__init__()
self.n_experts = 3
self.projectors = nn.ModuleList([ExpertProjector() for _ in range(3)])
self.constellation = Constellation()
self.patchwork = Patchwork()
pw_dim = N_COMP * D_COMP
self.classifier = nn.Sequential(
nn.Linear(pw_dim + D_ANCHOR, pw_dim), nn.GELU(),
nn.LayerNorm(pw_dim), nn.Dropout(0.1),
nn.Linear(pw_dim, N_CLASSES))
def forward(self, expert_embeddings, apply_autograd=False):
projected = [self.projectors[i](expert_embeddings[i]) for i in range(3)]
fused = F.normalize(sum(projected) / 3, dim=-1)
tri, nearest = self.constellation.triangulate(fused)
pw = self.patchwork(tri)
logits = self.classifier(torch.cat([pw, fused], -1))
return logits, fused, tri, nearest, projected
print(f"\n Loading checkpoint...")
ckpt = torch.load("checkpoints/base_tier_best.pt", map_location="cpu", weights_only=False)
model = BaseTierSoup()
model.load_state_dict(ckpt["state_dict"])
model = model.eval().to(DEVICE)
print(f" Loaded: mAP={ckpt['mAP']:.3f} cv={ckpt['cv']:.4f} epoch={ckpt['epoch']}")
# Load val data
from datasets import load_dataset
ref = load_dataset("AbstractPhil/bulk-coco-features", EXPERTS[0], split="val")
val_ids = ref["image_id"]; N_val = len(val_ids)
id_map = {iid: i for i, iid in enumerate(val_ids)}
val_labels = torch.zeros(N_val, N_CLASSES)
for i, labs in enumerate(ref["labels"]):
for l in labs:
if l < N_CLASSES: val_labels[i, l] = 1.0
val_feats = []
for name in EXPERTS:
ds = load_dataset("AbstractPhil/bulk-coco-features", name, split="val")
feats = torch.zeros(N_val, D_EXPERT)
for row in ds:
if row["image_id"] in id_map:
feats[id_map[row["image_id"]]] = torch.tensor(row["features"], dtype=torch.float32)
val_feats.append(feats.to(DEVICE))
print(f" {name} loaded")
del ds; gc.collect()
# Run full val through model
print(f"\n Running inference on {N_val} val images...")
all_logits, all_fused, all_tri, all_nearest, all_proj = [], [], [], [], [[], [], []]
BATCH = 256
with torch.no_grad():
for j in range(0, N_val, BATCH):
end = min(j + BATCH, N_val)
batch = [val_feats[e][j:end] for e in range(3)]
lo, fu, tr, ne, pr = model(batch)
all_logits.append(lo.cpu())
all_fused.append(fu.cpu())
all_tri.append(tr.cpu())
all_nearest.append(ne.cpu())
for e in range(3):
all_proj[e].append(pr[e].cpu())
logits = torch.cat(all_logits)
fused = torch.cat(all_fused)
tri = torch.cat(all_tri)
nearest = torch.cat(all_nearest)
proj = [torch.cat(all_proj[e]) for e in range(3)]
print(f" Done: fused={fused.shape} tri={tri.shape}")
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# SCAN 1: ANCHOR GEOMETRY
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
print(f"\n{'='*65}")
print("SCAN 1: ANCHOR GEOMETRY")
print(f"{'='*65}")
anchors = F.normalize(model.constellation.anchors.detach().cpu(), dim=-1)
# Pairwise cosine
anchor_sim = anchors @ anchors.T
anchor_sim.fill_diagonal_(0)
print(f" Anchor pairwise cosine:")
print(f" mean={anchor_sim.mean():.4f} std={anchor_sim.std():.4f}")
print(f" max={anchor_sim.max():.4f} min={anchor_sim.min():.4f}")
# Distribution of max-neighbor cosine
max_neighbor = anchor_sim.max(dim=1).values
print(f" Max neighbor cosine per anchor:")
print(f" mean={max_neighbor.mean():.4f} std={max_neighbor.std():.4f}")
print(f" max={max_neighbor.max():.4f} min={max_neighbor.min():.4f}")
# Anchor norms (should be ~1.0 after normalize)
anchor_norms = anchors.norm(dim=-1)
print(f" Anchor norms: mean={anchor_norms.mean():.6f} std={anchor_norms.std():.6f}")
# SVD of anchor matrix
sv = torch.linalg.svdvals(anchors)
eff_rank = ((sv.sum()**2) / (sv.pow(2).sum() + 1e-12)).item()
print(f" Anchor spectral: eff_rank={eff_rank:.1f}/{min(anchors.shape)}")
print(f" sv_max={sv[0]:.4f} sv_10={sv[9]:.4f} sv_50={sv[49]:.4f} sv_min={sv[-1]:.6f}")
# Volume CV of anchors
def cayley_menger_vol2(pts):
pts = pts.float()
diff = pts.unsqueeze(-2) - pts.unsqueeze(-3)
d2 = (diff * diff).sum(-1)
B, V, _ = d2.shape
cm = torch.zeros(B, V+1, V+1, device=d2.device, dtype=torch.float32)
cm[:, 0, 1:] = 1; cm[:, 1:, 0] = 1; cm[:, 1:, 1:] = d2
s = (-1.0)**V; f = math.factorial(V-1)
return s / ((2.0**(V-1)) * f*f) * torch.linalg.det(cm)
vols = []
for _ in range(500):
idx = torch.randperm(N_ANCHORS)[:5]
v2 = cayley_menger_vol2(anchors[idx].unsqueeze(0))
v = torch.sqrt(F.relu(v2[0]) + 1e-12).item()
if v > 0: vols.append(v)
anchor_cv = np.std(vols) / (np.mean(vols) + 1e-8)
print(f" Anchor pentachoron CV: {anchor_cv:.4f}")
print(f" mean_vol={np.mean(vols):.6f} std_vol={np.std(vols):.6f}")
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# SCAN 2: ANCHOR UTILIZATION
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
print(f"\n{'='*65}")
print("SCAN 2: ANCHOR UTILIZATION")
print(f"{'='*65}")
# How many images use each anchor as nearest
anchor_counts = torch.bincount(nearest, minlength=N_ANCHORS).float()
active = (anchor_counts > 0).sum().item()
print(f" Active anchors: {active}/{N_ANCHORS} ({active/N_ANCHORS*100:.1f}%)")
print(f" Visit counts: mean={anchor_counts.mean():.1f} std={anchor_counts.std():.1f}")
print(f" max={anchor_counts.max():.0f} min={anchor_counts.min():.0f}")
print(f" top 10: {anchor_counts.topk(10).values.long().tolist()}")
print(f" bottom 10: {anchor_counts.sort().values[:10].long().tolist()}")
# Entropy of anchor distribution
probs = anchor_counts / anchor_counts.sum()
entropy = -(probs[probs > 0] * probs[probs > 0].log()).sum().item()
max_entropy = math.log(N_ANCHORS)
print(f" Anchor entropy: {entropy:.4f} / {max_entropy:.4f} ({entropy/max_entropy*100:.1f}%)")
# Per-anchor mean cosine to fused embeddings
print(f"\n Per-anchor embedding density:")
anchor_mean_cos = []
for a_idx in range(N_ANCHORS):
mask = nearest == a_idx
if mask.sum() < 2:
anchor_mean_cos.append(0.0)
continue
cluster_embs = fused[mask]
mean_cos = F.cosine_similarity(
cluster_embs.unsqueeze(0), cluster_embs.unsqueeze(1), dim=-1)
mean_cos.fill_diagonal_(0)
n = cluster_embs.shape[0]
avg = mean_cos.sum().item() / max(n * (n-1), 1)
anchor_mean_cos.append(avg)
amc = np.array(anchor_mean_cos)
print(f" Intra-cluster cosine: mean={amc[amc>0].mean():.4f} std={amc[amc>0].std():.4f}")
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# SCAN 3: PROJECTOR ANALYSIS
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
print(f"\n{'='*65}")
print("SCAN 3: PROJECTOR ANALYSIS")
print(f"{'='*65}")
expert_names = ["clip_l14", "dinov2_b14", "siglip_b16"]
# Per-expert projection stats
for e, name in enumerate(expert_names):
p = proj[e]
print(f"\n {name}:")
print(f" norm: mean={p.norm(dim=-1).mean():.6f} (should be 1.0)")
print(f" self-sim off-diag: {(F.normalize(p,dim=-1) @ F.normalize(p,dim=-1).T).fill_diagonal_(0).mean():.4f}")
# SVD of projected embeddings
pc = p.float() - p.float().mean(0, keepdim=True)
sv = torch.linalg.svdvals(pc)
eff_dim = ((sv.sum()**2) / (sv.pow(2).sum() + 1e-12)).item()
print(f" eff_dim: {eff_dim:.1f}/{D_ANCHOR}")
# Pairwise agreement
print(f"\n Expert agreement (cosine in 128-d):")
for i in range(3):
for j in range(i+1, 3):
cos = F.cosine_similarity(proj[i], proj[j], dim=-1)
print(f" {expert_names[i]:<15} Γ {expert_names[j]:<15}: "
f"mean={cos.mean():.4f} std={cos.std():.4f} min={cos.min():.4f}")
# How different are the nearest anchors per expert?
print(f"\n Per-expert nearest anchor agreement:")
expert_nearest = []
for e in range(3):
a = F.normalize(anchors, dim=-1)
cos = proj[e] @ a.T
en = cos.argmax(dim=-1)
expert_nearest.append(en)
for i in range(3):
for j in range(i+1, 3):
agree = (expert_nearest[i] == expert_nearest[j]).float().mean().item()
print(f" {expert_names[i]:<15} Γ {expert_names[j]:<15}: "
f"same_anchor={agree:.4f} ({agree*100:.1f}%)")
# Projector weight analysis
print(f"\n Projector weight comparison:")
proj_weights = []
for e in range(3):
w = model.projectors[e].proj[0].weight.detach().float() # (128, 768)
proj_weights.append(w)
sv = torch.linalg.svdvals(w)
eff_r = ((sv.sum()**2) / (sv.pow(2).sum() + 1e-12)).item()
print(f" {expert_names[e]:<15}: norm={w.norm():.4f} eff_rank={eff_r:.1f}/{min(w.shape)}")
# Cross-projector cosine
for i in range(3):
for j in range(i+1, 3):
cos = F.cosine_similarity(
proj_weights[i].reshape(-1).unsqueeze(0),
proj_weights[j].reshape(-1).unsqueeze(0)).item()
print(f" {expert_names[i]:<15} Γ {expert_names[j]:<15} weight_cos={cos:.4f}")
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# SCAN 4: PATCHWORK COMPARTMENT ANALYSIS
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
print(f"\n{'='*65}")
print("SCAN 4: PATCHWORK COMPARTMENTS")
print(f"{'='*65}")
# Which anchors are in which compartment
asgn = model.patchwork.asgn.cpu()
for k in range(N_COMP):
anchor_ids = (asgn == k).nonzero(as_tuple=True)[0]
print(f" Comp {k}: {len(anchor_ids)} anchors")
# Patchwork output analysis
with torch.no_grad():
pw_all = []
for j in range(0, N_val, BATCH):
end = min(j + BATCH, N_val)
pw = model.patchwork(tri[j:end].to(DEVICE))
pw_all.append(pw.cpu())
pw_cat = torch.cat(pw_all)
print(f"\n Patchwork output: {pw_cat.shape}")
print(f" norm: mean={pw_cat.norm(dim=-1).mean():.4f} std={pw_cat.norm(dim=-1).std():.4f}")
# Per-compartment output magnitude
for k in range(N_COMP):
comp_out = pw_cat[:, k*D_COMP:(k+1)*D_COMP]
print(f" comp {k}: norm={comp_out.norm(dim=-1).mean():.4f} "
f"std_across_dims={comp_out.std(dim=0).mean():.4f}")
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# SCAN 5: TRIANGULATION PATTERN ANALYSIS
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
print(f"\n{'='*65}")
print("SCAN 5: TRIANGULATION PATTERNS")
print(f"{'='*65}")
# Triangulation distance stats
print(f" Triangulation distances (1-cosine):")
print(f" mean={tri.mean():.4f} std={tri.std():.4f}")
print(f" min={tri.min():.4f} max={tri.max():.4f}")
# Nearest anchor distance
nearest_dist = tri.gather(1, nearest.unsqueeze(1)).squeeze(1)
print(f" Nearest anchor distance:")
print(f" mean={nearest_dist.mean():.4f} std={nearest_dist.std():.4f}")
print(f" max={nearest_dist.max():.4f} min={nearest_dist.min():.4f}")
# How many anchors are "close" (cosine > 0.5, i.e. dist < 0.5)
close_count = (tri < 0.5).float().sum(dim=1)
print(f" Anchors within cos>0.5 per image:")
print(f" mean={close_count.mean():.1f} std={close_count.std():.1f}")
# Top-k nearest anchors β how spread are they?
topk_dists = tri.topk(10, dim=1, largest=False)
print(f" Top-10 nearest anchor distances:")
for k_idx in range(10):
d = topk_dists.values[:, k_idx]
print(f" k={k_idx}: mean={d.mean():.4f} std={d.std():.4f}")
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# SCAN 6: PER-CLASS ANCHOR AFFINITY
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
print(f"\n{'='*65}")
print("SCAN 6: PER-CLASS ANCHOR AFFINITY")
print(f"{'='*65}")
# COCO class names (subset)
coco_names = ["person", "bicycle", "car", "motorcycle", "airplane",
"bus", "train", "truck", "boat", "traffic light",
"fire hydrant", "stop sign", "parking meter", "bench", "bird",
"cat", "dog", "horse", "sheep", "cow"]
# For each class, which anchors are most associated?
print(f"\n Top-3 anchors per class (first 20 classes):")
for c in range(min(20, N_CLASSES)):
mask = val_labels[:, c] > 0
if mask.sum() < 5: continue
class_nearest = nearest[mask]
counts = torch.bincount(class_nearest, minlength=N_ANCHORS)
top3 = counts.topk(3)
name = coco_names[c] if c < len(coco_names) else f"class_{c}"
total = mask.sum().item()
pcts = [f"{top3.indices[k]}({top3.values[k].item()}/{total})" for k in range(3)]
print(f" {name:<15} (n={total:4d}): {' '.join(pcts)}")
# Anchor specialization: how many classes does each anchor serve?
anchor_class_count = torch.zeros(N_ANCHORS)
for a in range(N_ANCHORS):
mask = nearest == a
if mask.sum() < 1: continue
class_present = val_labels[mask].sum(0) > 0
anchor_class_count[a] = class_present.sum().item()
print(f"\n Anchor specialization:")
print(f" classes per anchor: mean={anchor_class_count[anchor_class_count>0].mean():.1f} "
f"std={anchor_class_count[anchor_class_count>0].std():.1f}")
print(f" max={anchor_class_count.max():.0f} min={anchor_class_count[anchor_class_count>0].min():.0f}")
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# SCAN 7: FUSED EMBEDDING GEOMETRY
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
print(f"\n{'='*65}")
print("SCAN 7: FUSED EMBEDDING GEOMETRY")
print(f"{'='*65}")
# Norms (should be 1.0)
fused_norms = fused.norm(dim=-1)
print(f" Norms: mean={fused_norms.mean():.6f} std={fused_norms.std():.6f}")
# Self-similarity
fused_n = F.normalize(fused, dim=-1)
self_sim = fused_n @ fused_n.T
self_sim_off = (self_sim.sum() - self_sim.diag().sum()) / (N_val**2 - N_val)
print(f" Self-sim (off-diag): {self_sim_off:.4f}")
# SVD
fc = fused.float() - fused.float().mean(0, keepdim=True)
sv = torch.linalg.svdvals(fc)
eff_dim = ((sv.sum()**2) / (sv.pow(2).sum() + 1e-12)).item()
print(f" Effective dim: {eff_dim:.1f}/{D_ANCHOR}")
cumvar = sv.pow(2).cumsum(0) / sv.pow(2).sum()
for k in [5, 10, 20, 50, 100]:
if k-1 < len(cumvar):
print(f" top-{k} SVs explain {cumvar[k-1]*100:.1f}%")
# CV
vols = []
for _ in range(500):
idx = torch.randperm(N_val)[:5]
v2 = cayley_menger_vol2(fused_n[idx].unsqueeze(0))
v = torch.sqrt(F.relu(v2[0]) + 1e-12).item()
if v > 0: vols.append(v)
fused_cv = np.std(vols) / (np.mean(vols) + 1e-8)
print(f" Pentachoron CV: {fused_cv:.4f}")
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
# SCAN 8: EXPERT CONTRIBUTION ANALYSIS
# ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
print(f"\n{'='*65}")
print("SCAN 8: EXPERT CONTRIBUTION")
print(f"{'='*65}")
# How much does each expert contribute to the fused embedding?
# cos(expert_proj, fused) tells us alignment
for e, name in enumerate(expert_names):
cos = F.cosine_similarity(proj[e], fused, dim=-1)
print(f" {name:<15}: cos_to_fused mean={cos.mean():.4f} std={cos.std():.4f}")
# Residual after removing each expert
for e, name in enumerate(expert_names):
others = [proj[i] for i in range(3) if i != e]
fused_without = F.normalize(sum(others) / 2, dim=-1)
delta = F.cosine_similarity(fused, fused_without, dim=-1)
print(f" Without {name:<15}: cos_to_full={delta.mean():.4f} (uniqueness={1-delta.mean():.4f})")
# Per-image expert disagreement
print(f"\n Per-image expert disagreement:")
all_cos = []
for i in range(3):
for j in range(i+1, 3):
cos = F.cosine_similarity(proj[i], proj[j], dim=-1)
all_cos.append(cos)
stacked = torch.stack(all_cos, dim=1) # (N, 3)
per_image_agree = stacked.mean(dim=1)
per_image_disagree = stacked.std(dim=1)
print(f" Agreement: mean={per_image_agree.mean():.4f} std={per_image_agree.std():.4f}")
print(f" Disagreement: mean={per_image_disagree.mean():.4f} std={per_image_disagree.std():.4f}")
# Most agreed and disagreed images
most_agree_idx = per_image_agree.argmax().item()
most_disagree_idx = per_image_agree.argmin().item()
print(f"\n Most agreed image ({most_agree_idx}): agreement={per_image_agree[most_agree_idx]:.4f}")
print(f" labels: {val_labels[most_agree_idx].nonzero(as_tuple=True)[0].tolist()}")
print(f" Most disagreed image ({most_disagree_idx}): agreement={per_image_agree[most_disagree_idx]:.4f}")
print(f" labels: {val_labels[most_disagree_idx].nonzero(as_tuple=True)[0].tolist()}")
print(f"\n{'='*65}")
print("ANALYSIS COMPLETE")
print(f"{'='*65}") |