File size: 16,999 Bytes
36a49b5
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
#!/usr/bin/env python3
"""
v9: Controlled Frequency + Phase + Gate (the convergent design)

per = sin( ω(x) ⊙ W_per·x + φ(x) )     ω(x) = ω0·(1 + 0.1·tanh(W_ω·x))
y = LN( α(x) ⊙ per + (1-α(x)) ⊙ val + residual )

Key vs v7: ω is bounded (±10%), not free
Key vs v8: ω exists (not removed)
Key vs v8: paths are SEPARATED (not entangled as val*(α*per+(1-α)))
"""

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, d_in, d_out, h, n):
        super().__init__()
        layers = []
        prev = d_in
        for _ in range(n):
            layers += [nn.Linear(prev, h), nn.ReLU()]; prev = h
        layers.append(nn.Linear(prev, d_out))
        self.net = nn.Sequential(*layers)
    def forward(self, x): return self.net(x)

class SinGLULayer(nn.Module):
    def __init__(self, d_in, d_out, mid, w0=30.):
        super().__init__()
        self.Wg = nn.Linear(d_in, mid, bias=False)
        self.Wv = nn.Linear(d_in, mid, bias=False)
        self.Wo = nn.Linear(mid, d_out, bias=True)
        self.w0 = w0; self.ln = nn.LayerNorm(d_out)
        with torch.no_grad():
            self.Wg.weight.uniform_(-math.sqrt(6/d_in)/w0, math.sqrt(6/d_in)/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, d_in, d_out, h, n, w0=30.):
        super().__init__()
        mid = max(2, int(h*2/3)); layers = []; prev = d_in
        for _ in range(n): layers.append(SinGLULayer(prev, h, mid, w0)); prev = h
        layers.append(nn.Linear(prev, d_out)); self.layers = nn.ModuleList(layers)
    def forward(self, x):
        for l in self.layers: x = l(x)
        return x

# ── v9: THE CONVERGENT DESIGN ──

class v9Layer(nn.Module):
    """
    Controlled freq + phase + gate + separated paths + residual.
    
    ω(x) = ω0 · (1 + 0.1·tanh(W_ω·x))     bounded ±10%
    φ(x) = π · tanh(W_φ·x)                   bounded [-π, π]
    per  = sin(ω(x) ⊙ W_per·x + φ(x))       full periodic
    val  = W_val·x                             full linear
    α(x) = sigmoid(W_α·x)                     gate
    y    = LN( α⊙per + (1-α)⊙val + res )     SEPARATED paths
    """
    def __init__(self, d_in, d_out, w0=30.):
        super().__init__()
        self.W_val = nn.Linear(d_in, d_out, bias=True)   # linear path
        self.W_per = nn.Linear(d_in, d_out, bias=False)   # periodic input
        self.W_omega = nn.Linear(d_in, d_out, bias=True)  # frequency mod
        self.W_phi = nn.Linear(d_in, d_out, bias=True)    # phase
        self.W_alpha = nn.Linear(d_in, d_out, bias=True)  # gate
        self.w0 = w0
        self.ln = nn.LayerNorm(d_out)
        self.res = nn.Linear(d_in, d_out, bias=False) if d_in != d_out else nn.Identity()
        
        with torch.no_grad():
            nn.init.xavier_uniform_(self.W_val.weight)
            b = math.sqrt(6./d_in)/w0
            self.W_per.weight.uniform_(-b, b)
            # ω: start at ω0 (tanh(0)=0 → ω=ω0)
            nn.init.zeros_(self.W_omega.weight); nn.init.zeros_(self.W_omega.bias)
            # φ: start at 0
            nn.init.zeros_(self.W_phi.weight); nn.init.zeros_(self.W_phi.bias)
            # α: start at 0.5 (sigmoid(0))
            nn.init.zeros_(self.W_alpha.weight); nn.init.zeros_(self.W_alpha.bias)
    
    def forward(self, x):
        val = self.W_val(x)
        omega = self.w0 * (1. + 0.1 * torch.tanh(self.W_omega(x)))
        phi = math.pi * torch.tanh(self.W_phi(x))
        per = torch.sin(omega * self.W_per(x) + phi)
        alpha = torch.sigmoid(self.W_alpha(x))
        # SEPARATED: α picks between per and val, not val*(α*per+(1-α))
        return self.ln(alpha * per + (1. - alpha) * val + self.res(x))
    
    def get_diag(self, x):
        with torch.no_grad():
            omega = self.w0 * (1. + 0.1 * torch.tanh(self.W_omega(x)))
            phi = math.pi * torch.tanh(self.W_phi(x))
            alpha = torch.sigmoid(self.W_alpha(x))
            return alpha, phi, omega


class v9Net(nn.Module):
    def __init__(self, d_in, d_out, h, n, w0=30.):
        super().__init__()
        layers = []; prev = d_in
        for _ in range(n): layers.append(v9Layer(prev, h, w0)); prev = h
        layers.append(nn.Linear(prev, d_out)); self.layers = nn.ModuleList(layers)
    
    def forward(self, x):
        for l in self.layers: x = l(x)
        return x
    
    def get_all_diag(self, x):
        alphas, phis, omegas = [], [], []
        h = x
        for l in self.layers:
            if isinstance(l, v9Layer):
                a,p,o = l.get_diag(h); alphas.append(a); phis.append(p); omegas.append(o)
                h = l(h)
            else: h = l(h)
        return alphas, phis, omegas
    
    def gate_reg(self, x):
        """Stronger polarization: (α - 0.5)² pushes away from center"""
        total = 0; h = x
        for l in self.layers:
            if isinstance(l, v9Layer):
                a = torch.sigmoid(l.W_alpha(h))
                total = total + ((a - 0.5)**2).mean()
                h = l(h)
            else: h = l(h)
        return total

# ── Utils ──

def nparams(m): return sum(p.numel() for p in m.parameters() if p.requires_grad)

def find_h(di, do, n, target, cls, **kw):
    lo,hi,best = 2,512,2
    while lo<=hi:
        mid=(lo+hi)//2; p=nparams(cls(di,do,mid,n,**kw))
        if abs(p-target)<abs(nparams(cls(di,do,best,n,**kw))-target): best=mid
        if p<target: lo=mid+1
        else: hi=mid-1
    return best

def train_reg(m, xtr,ytr,xte,yte, ep, lr, lam=5e-4, bs=256):
    opt=torch.optim.Adam(m.parameters(),lr=lr)
    sch=torch.optim.lr_scheduler.CosineAnnealingLR(opt,T_max=ep)
    best=float('inf'); n=len(xtr); use_reg=isinstance(m,v9Net)
    for e in range(ep):
        m.train(); perm=torch.randperm(n)
        for i in range(0,n,bs):
            idx=perm[i:i+bs]; bx,by=xtr[idx],ytr[idx]
            loss=F.mse_loss(m(bx),by)
            if use_reg: loss=loss+lam*m.gate_reg(bx)
            opt.zero_grad(); loss.backward()
            torch.nn.utils.clip_grad_norm_(m.parameters(),1.0); opt.step()
        sch.step()
        if (e+1)%max(1,ep//10)==0:
            m.eval()
            with torch.no_grad(): best=min(best,F.mse_loss(m(xte),yte).item())
    m.eval()
    with torch.no_grad(): best=min(best,F.mse_loss(m(xte),yte).item())
    return best

def train_clf(m, xtr,ytr,xte,yte, ep, lr, lam=5e-4, bs=256):
    opt=torch.optim.Adam(m.parameters(),lr=lr)
    sch=torch.optim.lr_scheduler.CosineAnnealingLR(opt,T_max=ep)
    best=0; n=len(xtr); use_reg=isinstance(m,v9Net)
    for e in range(ep):
        m.train(); perm=torch.randperm(n)
        for i in range(0,n,bs):
            idx=perm[i:i+bs]; bx,by=xtr[idx],ytr[idx]
            loss=F.cross_entropy(m(bx),by)
            if use_reg: loss=loss+lam*m.gate_reg(bx)
            opt.zero_grad(); loss.backward()
            torch.nn.utils.clip_grad_norm_(m.parameters(),1.0); opt.step()
        sch.step()
        if (e+1)%max(1,ep//10)==0:
            m.eval()
            with torch.no_grad(): best=max(best,(m(xte).argmax(1)==yte).float().mean().item())
    m.eval()
    with torch.no_grad(): best=max(best,(m(xte).argmax(1)==yte).float().mean().item())
    return best

# ── Data ──

def d_complex(n=1000):
    x=torch.rand(n,4)*2-1; y=torch.exp(torch.sin(x[:,0]**2+x[:,1]**2)+torch.sin(x[:,2]**2+x[:,3]**2))
    return x,y.unsqueeze(1)
def d_nested(n=1000):
    x=torch.rand(n,2)*2-1; y=torch.sin(math.pi*(x[:,0]**2+x[:,1]**2))*torch.cos(3*math.pi*x[:,0]*x[:,1])
    return x,y.unsqueeze(1)
def d_spiral(n=1000):
    t=torch.linspace(0,4*np.pi,n//2); r=torch.linspace(.3,2,n//2)
    x1=torch.stack([r*torch.cos(t),r*torch.sin(t)],1)
    x2=torch.stack([r*torch.cos(t+np.pi),r*torch.sin(t+np.pi)],1)
    x=torch.cat([x1,x2])+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_checker(n=1000):
    x=torch.rand(n,2)*2-1; y=((torch.sin(3*math.pi*x[:,0])*torch.sin(3*math.pi*x[:,1]))>0).long()
    return x,y
def d_highfreq(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_mem(n=200): return torch.randn(n,8),torch.randn(n,4)
def d_ood_tr(n=800):
    x=torch.rand(n,2)*2-1; y=torch.sin(3*math.pi*x[:,0])*torch.cos(3*math.pi*x[:,1])+x[:,0]*x[:,1]
    return x,y.unsqueeze(1)
def d_ood_te(n=300):
    x=torch.rand(n,2)+1; y=torch.sin(3*math.pi*x[:,0])*torch.cos(3*math.pi*x[:,1])+x[:,0]*x[:,1]
    return x,y.unsqueeze(1)

# ── Main ──

def main():
    print("="*80)
    print("  v9: CONTROLLED FREQ + PHASE + GATE (separated paths)")
    print("  ω(x) = ω0·(1+0.1·tanh(W_ω·x))  |  φ(x) = π·tanh(W_φ·x)")
    print("  y = LN( α⊙per + (1-α)⊙val + res )  |  λ=5e-4 polarization")
    print("="*80)
    
    N=3
    models = {
        'Vanilla': (VanillaMLP, {}),
        'SinGLU':  (SinGLUNet,  {'w0':None}),
        'v9':      (v9Net,      {'w0':None}),
    }
    
    tasks = [
        ("Complex Fn",  "reg", d_complex,  4,1, 5000, 300, 1e-3, 30., 750),
        ("Nested Fn",   "reg", d_nested,   2,1, 3000, 300, 1e-3, 20., 750),
        ("Spiral",      "clf", d_spiral,   2,2, 3000, 250, 1e-3, 15., 700),
        ("Checkerboard","clf", d_checker,  2,2, 3000, 250, 1e-3, 20., 700),
        ("High-Freq",   "reg", d_highfreq, 1,1, 8000, 300, 1e-3, 60., 700),
        ("Memorize",    "reg", d_mem,      8,4, 5000, 400, 1e-3, 10., 200),
    ]
    
    all_res = {}; diag = {}
    
    for tn,tt,df,di,do,bud,ep,lr,w0,sp in tasks:
        print(f"\n{'━'*80}\n  {tn}  |  ~{bud:,} params\n{'━'*80}")
        
        hs={}
        for mn,(mc,mk) in models.items():
            kw={k:(w0 if v is None else v) for k,v in mk.items()}
            hs[mn]=find_h(di,do,N,bud,mc,**kw)
        
        tr={}
        for mn,(mc,mk) in models.items():
            kw={k:(w0 if v is None else v) for k,v in mk.items()}
            h=hs[mn]; scores=[]
            for seed in SEEDS:
                set_seed(seed); x,y=df()
                if sp>=len(x): xtr,ytr,xte,yte=x,y,x,y
                else: xtr,ytr,xte,yte=x[:sp],y[:sp],x[sp:],y[sp:]
                set_seed(seed+100); mdl=mc(di,do,h,N,**kw)
                if tt=='reg': s=train_reg(mdl,xtr,ytr,xte,yte,ep,lr)
                else: s=train_clf(mdl,xtr,ytr,xte,yte,ep,lr)
                scores.append(s)
                if mn=='v9' and seed==SEEDS[-1]:
                    mdl.eval()
                    with torch.no_grad():
                        als,phs,oms=mdl.get_all_diag(xte[:100])
                        aa=torch.cat([a.flatten() for a in als])
                        pp=torch.cat([p.flatten() for p in phs])
                        oo=torch.cat([o.flatten() for o in oms])
                        diag[tn]={
                            'a_m':aa.mean().item(),'a_s':aa.std().item(),
                            'a_lo':(aa<.3).float().mean().item(),'a_hi':(aa>.7).float().mean().item(),
                            'p_s':pp.std().item(),'p_m':pp.mean().item(),
                            'o_m':oo.mean().item(),'o_s':oo.std().item(),
                            'o_min':oo.min().item(),'o_max':oo.max().item(),
                        }
            p=nparams(mc(di,do,h,N,**kw))
            tr[mn]={'mean':np.mean(scores),'std':np.std(scores),'scores':scores,'params':p,'hidden':h}
        
        is_reg=tt=='reg'
        if is_reg: best=min(tr,key=lambda k:tr[k]['mean'])
        else: best=max(tr,key=lambda k:tr[k]['mean'])
        met="MSE ↓" if is_reg else "Acc ↑"
        
        print(f"\n  {'Model':<10} {'H':>4} {'P':>6} {met+' (mean±std)':>26}")
        print(f"  {'─'*50}")
        for mn,r in tr.items():
            m,s=r['mean'],r['std']
            ms=f"{m:.2e}±{s:.1e}" if(is_reg and m<.001) else(f"{m:.4f}±{s:.4f}" if is_reg else f"{m:.1%}±{s:.3f}")
            print(f"  {mn:<10} {r['hidden']:>4} {r['params']:>6,} {ms:>26}{' ★' if mn==best else ''}")
        print(f"  → {best}")
        
        if tn in diag:
            d=diag[tn]
            print(f"    α: {d['a_m']:.3f}±{d['a_s']:.3f} ({d['a_lo']:.0%} lin, {d['a_hi']:.0%} per)")
            print(f"    φ: std={d['p_s']:.3f}")
            print(f"    ω: {d['o_m']:.1f}±{d['o_s']:.2f} [{d['o_min']:.1f},{d['o_max']:.1f}]")
        
        all_res[tn]=tr
    
    # OOD
    print(f"\n{'━'*80}\n  OOD: [-1,1] → [1,2]\n{'━'*80}")
    ood_r={}; ood_d={}
    for mn,(mc,mk) in models.items():
        kw={k:(20. if v is None else v) for k,v in mk.items()}
        h=find_h(2,1,N,5000,mc,**kw); ids,oods=[],[]
        for seed in SEEDS:
            set_seed(seed); xtr,ytr=d_ood_tr()
            set_seed(seed+50); xid=torch.rand(200,2)*2-1
            yid=(torch.sin(3*math.pi*xid[:,0])*torch.cos(3*math.pi*xid[:,1])+xid[:,0]*xid[:,1]).unsqueeze(1)
            set_seed(seed+50); xoo,yoo=d_ood_te()
            set_seed(seed+100); mdl=mc(2,1,h,N,**kw)
            si=train_reg(mdl,xtr,ytr,xid,yid,300,1e-3)
            mdl.eval()
            with torch.no_grad(): so=F.mse_loss(mdl(xoo),yoo).item()
            ids.append(si); oods.append(so)
            if mn=='v9' and seed==SEEDS[-1]:
                mdl.eval()
                with torch.no_grad():
                    ai,_,oi=mdl.get_all_diag(xid[:100])
                    ao,_,oo2=mdl.get_all_diag(xoo[:100])
                    ood_d={
                        'id_a':torch.cat([a.flatten() for a in ai]).mean().item(),
                        'ood_a':torch.cat([a.flatten() for a in ao]).mean().item(),
                        'id_o':torch.cat([o.flatten() for o in oi]).mean().item(),
                        'ood_o':torch.cat([o.flatten() for o in oo2]).mean().item(),
                    }
        p=nparams(mc(2,1,h,N,**kw))
        ood_r[mn]={'id':np.mean(ids),'ood':np.mean(oods),'p':p,
                   'deg':np.mean(oods)/max(np.mean(ids),1e-10),
                   'is':np.std(ids),'os':np.std(oods)}
    
    bo=min(ood_r,key=lambda k:ood_r[k]['ood'])
    print(f"\n  {'Model':<10} {'ID MSE':>14} {'OOD MSE':>14} {'Deg':>8}")
    print(f"  {'─'*50}")
    for mn,r in ood_r.items():
        print(f"  {mn:<10} {r['id']:>9.4f}±{r['is']:.3f} {r['ood']:>9.4f}±{r['os']:.3f} {r['deg']:>7.1f}x{' ★' if mn==bo else ''}")
    print(f"  → {bo}")
    
    if ood_d:
        print(f"\n  v9 on OOD:")
        print(f"    α: ID={ood_d['id_a']:.4f} → OOD={ood_d['ood_a']:.4f} (shift={ood_d['ood_a']-ood_d['id_a']:+.4f})")
        print(f"    ω: ID={ood_d['id_o']:.2f} → OOD={ood_d['ood_o']:.2f} (shift={ood_d['ood_o']-ood_d['id_o']:+.2f})")
    
    all_res['OOD']={mn:{'mean':r['ood'],'std':r['os']} for mn,r in ood_r.items()}
    
    # Summary
    print(f"\n{'='*80}\n  SUMMARY\n{'='*80}")
    wc={k:0 for k in models}
    print(f"\n  {'Task':<18}",end="")
    for mn in models: print(f" {mn:>12}",end="")
    print(f"  {'W':>8}")
    print(f"  {'─'*56}")
    for tn,t in all_res.items():
        sc={k:v['mean'] for k,v in t.items()}
        mx=max(sc.values()); is_c=mx>.5 and mx<=1 and min(sc.values())>=0
        if min(sc.values())<.001: is_c=False
        w=min(sc,key=sc.get) if (tn=='OOD' or not is_c) else max(sc,key=sc.get)
        wc[w]+=1
        row=f"  {tn:<18}"
        for mn in models:
            s=sc[mn]
            if is_c: row+=f" {s:>11.1%}"
            elif s<.001: row+=f" {s:>11.2e}"
            else: row+=f" {s:>11.4f}"
        row+=f"  {'->'+w:>8}"; print(row)
    
    print(f"\n  {'─'*56}")
    for mn,c in sorted(wc.items(),key=lambda x:-x[1]):
        print(f"    {mn:<10} {c} wins {'█'*c*4}")
    
    # Diag summary
    print(f"\n  v9 DIAGNOSTICS:")
    print(f"  {'Task':<18} {'α':>7} {'α_std':>7} {'%L':>5} {'%P':>5} {'φ_std':>7} {'ω':>7} {'ω_std':>7} {'ω range':>14}")
    print(f"  {'─'*80}")
    for tn,d in diag.items():
        print(f"  {tn:<18} {d['a_m']:>7.3f} {d['a_s']:>7.3f} {d['a_lo']:>4.0%} {d['a_hi']:>4.0%}"
              f" {d['p_s']:>7.3f} {d['o_m']:>7.1f} {d['o_s']:>7.3f} [{d['o_min']:.1f},{d['o_max']:.1f}]")
    
    sv={'tasks':{},'ood':{},'diag':diag,'ood_diag':ood_d}
    for tn,t in all_res.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 ood_r.items()}
    with open('/app/results_v9.json','w') as f: json.dump(sv,f,indent=2,default=str)
    print("\n  Saved to /app/results_v9.json")

if __name__=="__main__": main()