#!/usr/bin/env python3 """ v13: ALIGNED PHASE — phase along signal axes, not independent v10: sin(ω·g + π·tanh(Wφ·x)) ← additive but independent → chaotic v12: sin(ω · g·(1+0.2·φ)) ← frequency modulation → drift v13: sin(ω·g + 0.1·g·tanh(Wφ·x)) ← additive phase, aligned to g → stable The key: φ ∝ g. Phase only shifts where signal exists. No frequency drift (ω stays fixed). No independent noise. """ 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) 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) for comparison 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 # v12 (FM) for comparison class v12Layer(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): g=self.Wg(x); phi=torch.tanh(self.Wphi(x)) return self.ln(self.Wo(torch.sin(self.w0*g*(1.+0.2*phi))*self.Wv(x))) class v12Net(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(v12Layer(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 # v13: ALIGNED PHASE class v13Layer(nn.Module): """ g = Wg·x φ = 0.1 · g · tanh(Wφ·x) ← phase ALIGNED to signal core = sin(ω·g + φ) ← additive, no freq drift y = LN(Wo(core ⊙ Wv·x)) """ def __init__(self,di,do,mid,w0=30.,alpha=0.1): 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.a=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 = self.a * g * torch.tanh(self.Wphi(x)) # aligned to signal core = torch.sin(self.w0 * g + phi) # additive phase, no freq drift return self.ln(self.Wo(core * self.Wv(x))) def get_corr(self,x): """Measure correlation between g and phi""" with torch.no_grad(): g=self.Wg(x); phi=self.a*g*torch.tanh(self.Wphi(x)) # pearson correlation per neuron, averaged gf=g.flatten(); pf=phi.flatten() if gf.std()==0 or pf.std()==0: return 0. return ((gf-gf.mean())*(pf-pf.mean())).mean()/(gf.std()*pf.std()+1e-8) class v13Net(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(v13Layer(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 def get_corrs(self,x): cs=[]; h=x for l in self.layers: if isinstance(l,v13Layer): cs.append(l.get_corr(h).item()); h=l(h) else: h=l(h) return cs # 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)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) 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) def main(): print("="*80) print(" v13: ALIGNED PHASE | sin(ω·g + 0.1·g·tanh(Wφ·x))") print(" + corr(g,φ) analysis | vs SinGLU, v10(free), v12(FM)") print("="*80) N=3 Ms={'Vanilla':(VanillaMLP,{}),'SinGLU':(SinGLUNet,{'w0':None}), 'v10:free':(v10Net,{'w0':None}),'v12:FM':(v12Net,{'w0':None}),'v13':(v13Net,{'w0':None})} 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={}; CORR={} 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) if mn=='v13' and seed==SEEDS[-1]: mdl.eval(); CORR[tn]=mdl.get_corrs(xe[:100]) 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':<10} {'H':>3} {'P':>6} {met:>24}") print(f" {'─'*46}") for mn,r in tr.items(): m=r['mean']; s=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:<10} {r['hidden']:>3} {r['params']:>6,} {ms:>24}{' ★' if mn==best else ''}") print(f" → {best}") if tn in CORR: print(f" v13 corr(g,φ) per layer: {['%.3f'%c for c in CORR[tn]]}") R[tn]=tr # OOD print(f"\n{'━'*80}\n OOD\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),'is':np.std(ids),'os':np.std(ods)} bo=min(OD,key=lambda k:OD[k]['ood']) print(f"\n {'M':<10} {'ID':>12} {'OOD':>12} {'Deg':>7}") print(f" {'─'*44}") for mn,r in OD.items(): print(f" {mn:<10} {r['id']:>8.4f}±{r['is']:.3f} {r['ood']:>8.4f}±{r['os']:.3f} {r['deg']:>6.1f}x{' ★' if mn==bo else ''}") R['OOD']={mn:{'mean':r['ood'],'std':r['os']} for mn,r in OD.items()} # Summary print(f"\n{'='*80}\n SUMMARY\n{'='*80}") wc={k:0 for k in Ms} print(f"\n {'Task':<10}",end="") for mn in Ms: print(f" {mn:>10}",end="") print(f" {'W':>8}") print(f" {'─'*68}") 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 w=min(sc,key=sc.get) if(tn=='OOD' or not ic) else max(sc,key=sc.get) wc[w]+=1 row=f" {tn:<10}" 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 {'─'*68}") for mn,c in sorted(wc.items(),key=lambda x:-x[1]): print(f" {mn:<10} {c} {'█'*c*3}") print(f"\n corr(g,φ) — does v13 phase align with signal?") for tn,cs in CORR.items(): print(f" {tn:<10} layers: {['%.3f'%c for c in cs]} avg={np.mean(cs):.3f}") sv={'tasks':{},'ood':{},'corr':CORR} for tn,t in R.items(): sv['tasks'][tn]={mn:{'mean':float(r['mean']),'std':float(r.get('std',0)), 'scores':[float(s) for s in r.get('scores',[r['mean']])], 'params':r.get('params',0),'hidden':r.get('hidden',0)} for mn,r in t.items()} sv['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()} with open('/app/results_v13.json','w') as f: json.dump(sv,f,indent=2,default=str) print(f"\n Saved.") if __name__=="__main__": main()