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"""
v15: Dual-Phase Decomposition (low-freq structure + high-freq detail)
+ KILLER EXPERIMENT: Train on low freq, test on high freq
low = sin(ω·g + β·φ) ← structure
high = sin(2ω·g + γ·φ) ← detail
core = low ⊙ (1 + α·high) ← AM modulation
+ Freq Generalization: train sin(2πx), test sin(10πx)
+ Mixed Freq: train sin(2πx)+sin(4πx), test sin(2πx)+sin(20πx)
"""
import torch, torch.nn as nn, torch.nn.functional as F
import numpy as np, math, json
SEEDS = [0, 1, 2]
def set_seed(s): torch.manual_seed(s); np.random.seed(s)
# ── Baselines ──
class VanillaMLP(nn.Module):
def __init__(self,di,do,h,n):
super().__init__(); L=[]; p=di
for _ in range(n): L+=[nn.Linear(p,h),nn.ReLU()]; p=h
L.append(nn.Linear(p,do)); self.net=nn.Sequential(*L)
def forward(self,x): return self.net(x)
class SinGLULayer(nn.Module):
def __init__(self,di,do,mid,w0=30.):
super().__init__()
self.Wg=nn.Linear(di,mid,bias=False); self.Wv=nn.Linear(di,mid,bias=False)
self.Wo=nn.Linear(mid,do,bias=True); self.w0=w0; self.ln=nn.LayerNorm(do)
with torch.no_grad():
self.Wg.weight.uniform_(-math.sqrt(6/di)/w0,math.sqrt(6/di)/w0)
nn.init.xavier_uniform_(self.Wv.weight); nn.init.xavier_uniform_(self.Wo.weight)
def forward(self,x): return self.ln(self.Wo(torch.sin(self.w0*self.Wg(x))*self.Wv(x)))
class SinGLUNet(nn.Module):
def __init__(self,di,do,h,n,w0=30.):
super().__init__(); mid=max(2,int(h*2/3)); L=[]; p=di
for _ in range(n): L.append(SinGLULayer(p,h,mid,w0)); p=h
L.append(nn.Linear(p,do)); self.layers=nn.ModuleList(L)
def forward(self,x):
for l in self.layers: x=l(x)
return x
# v10 (free phase)
class v10Layer(nn.Module):
def __init__(self,di,do,mid,w0=30.):
super().__init__()
self.Wg=nn.Linear(di,mid,bias=False); self.Wv=nn.Linear(di,mid,bias=False)
self.Wo=nn.Linear(mid,do,bias=True); self.Wphi=nn.Linear(di,mid,bias=True)
self.w0=w0; self.ln=nn.LayerNorm(do)
with torch.no_grad():
self.Wg.weight.uniform_(-math.sqrt(6/di)/w0,math.sqrt(6/di)/w0)
nn.init.xavier_uniform_(self.Wv.weight); nn.init.xavier_uniform_(self.Wo.weight)
nn.init.zeros_(self.Wphi.weight); nn.init.zeros_(self.Wphi.bias)
def forward(self,x):
phi=math.pi*torch.tanh(self.Wphi(x))
return self.ln(self.Wo(torch.sin(self.w0*self.Wg(x)+phi)*self.Wv(x)))
class v10Net(nn.Module):
def __init__(self,di,do,h,n,w0=30.):
super().__init__(); mid=max(2,int(h*2/3)); L=[]; p=di
for _ in range(n): L.append(v10Layer(p,h,mid,w0)); p=h
L.append(nn.Linear(p,do)); self.layers=nn.ModuleList(L)
def forward(self,x):
for l in self.layers: x=l(x)
return x
# ── v15: DUAL-PHASE DECOMPOSITION ──
class v15Layer(nn.Module):
"""
low = sin(ω·g + β·φ) structure channel
high = sin(2ω·g + γ·φ) detail channel
core = low ⊙ (1 + α·high) AM modulation
y = LN(Wo(core ⊙ Wv·x))
"""
def __init__(self, di, do, mid, w0=30., beta=0.05, gamma=0.05, alpha=0.3):
super().__init__()
self.Wg=nn.Linear(di,mid,bias=False); self.Wv=nn.Linear(di,mid,bias=False)
self.Wo=nn.Linear(mid,do,bias=True); self.Wphi=nn.Linear(di,mid,bias=True)
self.w0=w0; self.beta=beta; self.gamma=gamma; self.alpha=alpha
self.ln=nn.LayerNorm(do)
with torch.no_grad():
self.Wg.weight.uniform_(-math.sqrt(6/di)/w0,math.sqrt(6/di)/w0)
nn.init.xavier_uniform_(self.Wv.weight); nn.init.xavier_uniform_(self.Wo.weight)
nn.init.zeros_(self.Wphi.weight); nn.init.zeros_(self.Wphi.bias)
def forward(self,x):
g=self.Wg(x); phi=torch.tanh(self.Wphi(x))
low=torch.sin(self.w0*g+self.beta*phi)
high=torch.sin(2*self.w0*g+self.gamma*phi)
core=low*(1.+self.alpha*high)
return self.ln(self.Wo(core*self.Wv(x)))
def get_stats(self,x):
with torch.no_grad():
phi=torch.tanh(self.Wphi(x))
return {'phi_m':phi.mean().item(),'phi_s':phi.std().item()}
class v15Net(nn.Module):
def __init__(self,di,do,h,n,w0=30.):
super().__init__(); mid=max(2,int(h*2/3)); L=[]; p=di
for _ in range(n): L.append(v15Layer(p,h,mid,w0)); p=h
L.append(nn.Linear(p,do)); self.layers=nn.ModuleList(L)
def forward(self,x):
for l in self.layers: x=l(x)
return x
# ── Utils ──
def np_(m): return sum(p.numel() for p in m.parameters() if p.requires_grad)
def fh(di,do,n,t,cls,**kw):
lo,hi,b=2,512,2
while lo<=hi:
mid=(lo+hi)//2; p=np_(cls(di,do,mid,n,**kw))
if abs(p-t)<abs(np_(cls(di,do,b,n,**kw))-t): b=mid
if p<t: lo=mid+1
else: hi=mid-1
return b
def tr_r(m,xt,yt,xe,ye,ep,lr,bs=256):
o=torch.optim.Adam(m.parameters(),lr=lr); s=torch.optim.lr_scheduler.CosineAnnealingLR(o,T_max=ep)
best=float('inf'); n=len(xt)
for e in range(ep):
m.train(); p=torch.randperm(n)
for i in range(0,n,bs):
idx=p[i:i+bs]; loss=F.mse_loss(m(xt[idx]),yt[idx])
o.zero_grad(); loss.backward(); torch.nn.utils.clip_grad_norm_(m.parameters(),1.); o.step()
s.step()
if(e+1)%max(1,ep//10)==0:
m.eval()
with torch.no_grad(): best=min(best,F.mse_loss(m(xe),ye).item())
m.eval()
with torch.no_grad(): best=min(best,F.mse_loss(m(xe),ye).item())
return best
def tr_c(m,xt,yt,xe,ye,ep,lr,bs=256):
o=torch.optim.Adam(m.parameters(),lr=lr); s=torch.optim.lr_scheduler.CosineAnnealingLR(o,T_max=ep)
best=0; n=len(xt)
for e in range(ep):
m.train(); p=torch.randperm(n)
for i in range(0,n,bs):
idx=p[i:i+bs]; loss=F.cross_entropy(m(xt[idx]),yt[idx])
o.zero_grad(); loss.backward(); torch.nn.utils.clip_grad_norm_(m.parameters(),1.); o.step()
s.step()
if(e+1)%max(1,ep//10)==0:
m.eval()
with torch.no_grad(): best=max(best,(m(xe).argmax(1)==ye).float().mean().item())
m.eval()
with torch.no_grad(): best=max(best,(m(xe).argmax(1)==ye).float().mean().item())
return best
# ── Data ──
def d_cx(n=1000): x=torch.rand(n,4)*2-1; return x,torch.exp(torch.sin(x[:,0]**2+x[:,1]**2)+torch.sin(x[:,2]**2+x[:,3]**2)).unsqueeze(1)
def d_ne(n=1000): x=torch.rand(n,2)*2-1; return x,(torch.sin(math.pi*(x[:,0]**2+x[:,1]**2))*torch.cos(3*math.pi*x[:,0]*x[:,1])).unsqueeze(1)
def d_sp(n=1000):
t=torch.linspace(0,4*np.pi,n//2); r=torch.linspace(.3,2,n//2)
x=torch.cat([torch.stack([r*torch.cos(t),r*torch.sin(t)],1),torch.stack([r*torch.cos(t+np.pi),r*torch.sin(t+np.pi)],1)])+torch.randn(n,2)*.05
y=torch.cat([torch.zeros(n//2),torch.ones(n//2)]).long(); p=torch.randperm(n); return x[p],y[p]
def d_ch(n=1000): x=torch.rand(n,2)*2-1; return x,((torch.sin(3*math.pi*x[:,0])*torch.sin(3*math.pi*x[:,1]))>0).long()
def d_hf(n=1000): x=torch.linspace(-1,1,n).unsqueeze(1); return x,torch.sin(20*x)+torch.sin(50*x)+.5*torch.sin(100*x)
def d_mm(n=200): return torch.randn(n,8),torch.randn(n,4)
# KILLER EXPERIMENT DATA
def d_freq_train(n=1000):
x=torch.linspace(-1,1,n).unsqueeze(1); return x, torch.sin(2*math.pi*x)
def d_freq_test(n=1000):
x=torch.linspace(-1,1,n).unsqueeze(1); return x, torch.sin(10*math.pi*x)
def d_mixed_train(n=1000):
x=torch.linspace(-1,1,n).unsqueeze(1); return x, torch.sin(2*math.pi*x)+torch.sin(4*math.pi*x)
def d_mixed_test(n=1000):
x=torch.linspace(-1,1,n).unsqueeze(1); return x, torch.sin(2*math.pi*x)+torch.sin(20*math.pi*x)
# OOD
def d_ot(n=800): x=torch.rand(n,2)*2-1; return x,(torch.sin(3*math.pi*x[:,0])*torch.cos(3*math.pi*x[:,1])+x[:,0]*x[:,1]).unsqueeze(1)
def d_oe(n=300): x=torch.rand(n,2)+1; return x,(torch.sin(3*math.pi*x[:,0])*torch.cos(3*math.pi*x[:,1])+x[:,0]*x[:,1]).unsqueeze(1)
# ── Main ──
def main():
print("="*80)
print(" v15: DUAL-PHASE DECOMPOSITION + KILLER EXPERIMENT")
print(" low=sin(ωg+βφ), high=sin(2ωg+γφ), core=low⊙(1+α·high)")
print(" + Freq Gen: train sin(2πx) → test sin(10πx)")
print("="*80)
N=3
Ms={'Vanilla':(VanillaMLP,{}),'SinGLU':(SinGLUNet,{'w0':None}),
'v10':(v10Net,{'w0':None}),'v15':(v15Net,{'w0':None})}
# Standard tasks
tasks=[
("Complex","r",d_cx,4,1,5000,300,1e-3,30.,750),
("Nested","r",d_ne,2,1,3000,300,1e-3,20.,750),
("Spiral","c",d_sp,2,2,3000,250,1e-3,15.,700),
("Checker","c",d_ch,2,2,3000,250,1e-3,20.,700),
("HiFreq","r",d_hf,1,1,8000,300,1e-3,60.,700),
("Memorize","r",d_mm,8,4,5000,400,1e-3,10.,200),
]
R={}
for tn,tt,df,di,do,bud,ep,lr,w0,sp in tasks:
print(f"\n{'━'*80}\n {tn}\n{'━'*80}")
hs={mn:fh(di,do,N,bud,mc,**{k:(w0 if v is None else v) for k,v in mk.items()}) for mn,(mc,mk) in Ms.items()}
tr={}
for mn,(mc,mk) in Ms.items():
kw={k:(w0 if v is None else v) for k,v in mk.items()}; h=hs[mn]; sc=[]
for seed in SEEDS:
set_seed(seed); x,y=df()
if sp>=len(x): xt,yt,xe,ye=x,y,x,y
else: xt,yt,xe,ye=x[:sp],y[:sp],x[sp:],y[sp:]
set_seed(seed+100); mdl=mc(di,do,h,N,**kw)
s=tr_r(mdl,xt,yt,xe,ye,ep,lr) if tt=='r' else tr_c(mdl,xt,yt,xe,ye,ep,lr)
sc.append(s)
p=np_(mc(di,do,h,N,**kw))
tr[mn]={'mean':np.mean(sc),'std':np.std(sc),'scores':sc,'params':p,'hidden':h}
ir=tt=='r'
best=min(tr,key=lambda k:tr[k]['mean']) if ir else max(tr,key=lambda k:tr[k]['mean'])
met="MSE ↓" if ir else "Acc ↑"
print(f"\n {'M':<8} {'H':>3} {'P':>6} {met:>24}")
print(f" {'─'*44}")
for mn,r in tr.items():
m,s=r['mean'],r['std']
ms=f"{m:.2e}±{s:.1e}" if(ir and m<.001) else(f"{m:.4f}±{s:.4f}" if ir else f"{m:.1%}±{s:.3f}")
print(f" {mn:<8} {r['hidden']:>3} {r['params']:>6,} {ms:>24}{' ★' if mn==best else ''}")
print(f" → {best}")
R[tn]=tr
# ================================================================
# KILLER EXPERIMENT 1: Frequency Generalization
# Train on sin(2πx), test on sin(10πx) — NO RETRAINING
# ================================================================
print(f"\n{'━'*80}")
print(f" 🔥 KILLER EXPERIMENT 1: Frequency Generalization")
print(f" Train: sin(2πx) → Test: sin(10πx)")
print(f" Can the model generalize to unseen frequencies?")
print(f"{'━'*80}")
bud_k=4000
xte_k,yte_k=d_freq_test() # test data (NEVER trained on)
fg_res={}
for mn,(mc,mk) in Ms.items():
kw={k:(30. if v is None else v) for k,v in mk.items()}
h=fh(1,1,N,bud_k,mc,**kw); train_sc=[]; test_sc=[]
for seed in SEEDS:
set_seed(seed); xtr,ytr=d_freq_train()
# split train for validation
xt,yt=xtr[:800],ytr[:800]; xv,yv=xtr[800:],ytr[800:]
set_seed(seed+100); mdl=mc(1,1,h,N,**kw)
s_train=tr_r(mdl,xt,yt,xv,yv,300,1e-3)
mdl.eval()
with torch.no_grad(): s_test=F.mse_loss(mdl(xte_k),yte_k).item()
train_sc.append(s_train); test_sc.append(s_test)
fg_res[mn]={'train':np.mean(train_sc),'test':np.mean(test_sc),'test_std':np.std(test_sc),
'params':np_(mc(1,1,h,N,**kw)),'hidden':h}
print(f"\n {'M':<8} {'H':>3} {'Train MSE':>12} {'Test MSE (10πx)':>18} {'Gap':>8}")
print(f" {'─'*52}")
best_fg=min(fg_res,key=lambda k:fg_res[k]['test'])
for mn,r in fg_res.items():
gap=r['test']/max(r['train'],1e-10)
print(f" {mn:<8} {r['hidden']:>3} {r['train']:>12.6f} {r['test']:>12.4f}±{r['test_std']:.3f} {gap:>7.1f}x{' ★' if mn==best_fg else ''}")
print(f" → Best freq generalization: {best_fg}")
# ================================================================
# KILLER EXPERIMENT 2: Mixed Frequency Decomposition
# Train: sin(2πx)+sin(4πx) → Test: sin(2πx)+sin(20πx)
# ================================================================
print(f"\n{'━'*80}")
print(f" 🔥 KILLER EXPERIMENT 2: Mixed Frequency Decomposition")
print(f" Train: sin(2πx)+sin(4πx) → Test: sin(2πx)+sin(20πx)")
print(f" Can the model decompose and generalize frequency components?")
print(f"{'━'*80}")
xte_m,yte_m=d_mixed_test()
mf_res={}
for mn,(mc,mk) in Ms.items():
kw={k:(30. if v is None else v) for k,v in mk.items()}
h=fh(1,1,N,bud_k,mc,**kw); train_sc=[]; test_sc=[]
for seed in SEEDS:
set_seed(seed); xtr,ytr=d_mixed_train()
xt,yt=xtr[:800],ytr[:800]; xv,yv=xtr[800:],ytr[800:]
set_seed(seed+100); mdl=mc(1,1,h,N,**kw)
s_train=tr_r(mdl,xt,yt,xv,yv,300,1e-3)
mdl.eval()
with torch.no_grad(): s_test=F.mse_loss(mdl(xte_m),yte_m).item()
train_sc.append(s_train); test_sc.append(s_test)
mf_res[mn]={'train':np.mean(train_sc),'test':np.mean(test_sc),'test_std':np.std(test_sc)}
print(f"\n {'M':<8} {'Train MSE':>12} {'Test MSE (20πx)':>18} {'Gap':>8}")
print(f" {'─'*44}")
best_mf=min(mf_res,key=lambda k:mf_res[k]['test'])
for mn,r in mf_res.items():
gap=r['test']/max(r['train'],1e-10)
print(f" {mn:<8} {r['train']:>12.6f} {r['test']:>12.4f}±{r['test_std']:.3f} {gap:>7.1f}x{' ★' if mn==best_mf else ''}")
print(f" → Best mixed freq: {best_mf}")
# ================================================================
# OOD
# ================================================================
print(f"\n{'━'*80}\n OOD: [-1,1] → [1,2]\n{'━'*80}")
OD={}
for mn,(mc,mk) in Ms.items():
kw={k:(20. if v is None else v) for k,v in mk.items()}; h=fh(2,1,N,5000,mc,**kw); ids,ods=[],[]
for seed in SEEDS:
set_seed(seed); xtr,ytr=d_ot()
set_seed(seed+50); xi=torch.rand(200,2)*2-1; yi=(torch.sin(3*math.pi*xi[:,0])*torch.cos(3*math.pi*xi[:,1])+xi[:,0]*xi[:,1]).unsqueeze(1)
set_seed(seed+50); xo,yo=d_oe()
set_seed(seed+100); mdl=mc(2,1,h,N,**kw)
si=tr_r(mdl,xtr,ytr,xi,yi,300,1e-3); mdl.eval()
with torch.no_grad(): so=F.mse_loss(mdl(xo),yo).item()
ids.append(si); ods.append(so)
OD[mn]={'id':np.mean(ids),'ood':np.mean(ods),'deg':np.mean(ods)/max(np.mean(ids),1e-10)}
bo=min(OD,key=lambda k:OD[k]['ood'])
print(f"\n {'M':<8} {'ID':>10} {'OOD':>10} {'Deg':>7}")
print(f" {'─'*38}")
for mn,r in OD.items(): print(f" {mn:<8} {r['id']:>10.4f} {r['ood']:>10.4f} {r['deg']:>6.1f}x{' ★' if mn==bo else ''}")
# ================================================================
# GRAND SUMMARY
# ================================================================
print(f"\n{'='*80}")
print(f" GRAND SUMMARY: v15 + KILLER EXPERIMENTS")
print(f"{'='*80}")
# Collect all results
R['OOD']={mn:{'mean':r['ood']} for mn,r in OD.items()}
R['FreqGen']={mn:{'mean':r['test']} for mn,r in fg_res.items()}
R['MixedFreq']={mn:{'mean':r['test']} for mn,r in mf_res.items()}
wc={k:0 for k in Ms}
print(f"\n {'Task':<14}",end="")
for mn in Ms: print(f" {mn:>10}",end="")
print(f" {'W':>8}")
print(f" {'─'*60}")
for tn,t in R.items():
sc={k:v['mean'] for k,v in t.items()}; mx=max(sc.values())
ic=mx>.5 and mx<=1 and min(sc.values())>=0
if min(sc.values())<.001: ic=False
# All non-classification tasks: lower is better
if ic: w=max(sc,key=sc.get)
else: w=min(sc,key=sc.get)
wc[w]+=1
row=f" {tn:<14}"
for mn in Ms:
s=sc[mn]
if ic: row+=f" {s:>9.1%}"
elif s<.001: row+=f" {s:>9.2e}"
else: row+=f" {s:>9.4f}"
row+=f" ->{w}"; print(row)
print(f"\n {'─'*60}")
for mn,c in sorted(wc.items(),key=lambda x:-x[1]):
print(f" {mn:<8} {c} wins {'█'*c*3}")
sv={'tasks':{},'freq_gen':fg_res,'mixed_freq':mf_res,'ood':{mn:{k:float(v) if isinstance(v,(float,np.floating)) else v for k,v in r.items()} for mn,r in OD.items()}}
for tn,t in R.items():
sv['tasks'][tn]={mn:{'mean':float(r['mean']),'std':float(r.get('std',0)),
'params':r.get('params',0),'hidden':r.get('hidden',0)} for mn,r in t.items()}
with open('/app/results_v15.json','w') as f: json.dump(sv,f,indent=2,default=str)
print(f"\n Saved.")
if __name__=="__main__": main()
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