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Update app.py
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app.py
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"""
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main.py β Elastic Mesh Engine
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Each spring: K β β^(DIMΓDIM) β full linear map per edge
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Forward (additive):
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x_Ui = K(A,Ui) @ x_A
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x_Li = K(B,Li) @ x_B
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x_C = Ξ£ K(Ui,C) @ x_Ui + Ξ£ K(Li,C) @ x_Li
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Training:
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C anchored at target β K matrices update via matrix LMS
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one-shot zero-residual for linear problems
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Inference:
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C free β elastic dynamics settle to equilibrium
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EWC regularisation protects weights from catastrophic forgetting
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Fisher diagonal accumulates during training
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"""
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import numpy as np
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@@ -35,45 +20,51 @@ app.add_middleware(CORSMiddleware,
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allow_origins=["*"], allow_methods=["*"], allow_headers=["*"])
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# ββ CONSTANTS βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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DIM
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FWD_K
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BACK_A
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DAMPING
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DT
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MICRO
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CONV_THRESH
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MAX_STEPS
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EWC_LAMBDA
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FISHER_DECAY= 0.97
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"""
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This is not computed β it is converged to.
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"""
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self.dim = dim
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self.n_upper = n_upper
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self.n_lower = n_lower
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self.mode = 'idle'
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self.running = False
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self.batch_queue = collections.deque()
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self.logs = []
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self.iteration = 0
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self.step_count = 0
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self.error_norm = 0.0
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self.pred_norm = 0.0
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self.history = []
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self.train_data = []
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self.test_data = []
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self.c_target = None
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self.current_type = 'unknown'
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self.test_errors = []
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self._init_mesh()
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# ββ TOPOLOGY ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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self.layers = self._layers()
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d = self.dim
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# Nodes β each carries a d-vector position and velocity
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self.nodes = {
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nid: {
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'vel': np.zeros(d),
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'anchored': nid in ('A', 'B'),
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}
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for layer in self.layers for nid in layer
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}
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#
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scale = np.sqrt(
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self.K = {}
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for i in range(1, self.n_upper + 1):
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uid = f'U{i}'
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self.K[('B', lid)] = np.random.normal(0, scale, (d, d))
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self.K[(lid, 'C')] = np.random.normal(0, scale, (d, d))
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self.fisher = {k: np.zeros((d, d)) for k in self.K}
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self.K_anchor = {k: v.copy() for k, v in self.K.items()}
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# ββ PROBLEM SETUP βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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self.current_type = ptype
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self.step_count = 0
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# Reset free nodes for fresh elastic oscillation
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for layer in self.layers[1:4]:
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for nid in layer:
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if nid != 'C':
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c = self.nodes['C']
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c['vel'] = np.zeros(d)
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if self.mode == 'training' and c_target is not None:
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c['x'] = np.asarray(c_target, dtype=float)[:d]
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c['anchored'] = True
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self.c_target = c['x'].copy()
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else:
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# Inference: C is free; store target only for accuracy measurement
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c['anchored'] = False
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c['x'] = np.zeros(d)
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self.c_target = (np.asarray(c_target, dtype=float)[:d]
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if c_target is not None else None)
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# ββ FEEDFORWARD βββββββββββββββββββββββββββββββββββββββββ
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def _forward(self):
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"""
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Exact feedforward pass
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"""
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xa, xb = self.nodes['A']['x'], self.nodes['B']['x']
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hid = {}
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for i in range(1, self.n_upper + 1):
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uid
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for i in range(1, self.n_lower + 1):
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lid
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pred = np.zeros(self.dim)
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for i in range(1, self.n_upper + 1):
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for i in range(1, self.n_lower + 1):
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pred += self.K[(f'L{i}', 'C')] @ hid[f'L{i}']
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return pred, hid
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# ββ ELASTIC DISPLAY PHYSICS βββββββββββββββββββββββββββββββββββββββββββββββ
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def _elastic_step(self, n_steps
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"""
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Damped-oscillator spring dynamics for visualisation.
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Forward springs pull hidden nodes toward their feedforward rest positions.
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Backward tension (BACK_A) lets anchored-C's position propagate upstream β
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the mesh physically feels the error as strain before any K update.
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"""
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xa, xb = self.nodes['A']['x'], self.nodes['B']['x']
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for _ in range(n_steps):
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for i in range(1, self.n_upper + 1):
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uid
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n
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rest = self.K[('A', uid)] @ xa
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f = FWD_K * (rest - n['x'])
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f += BACK_A * (self.K[(uid, 'C')].T @
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(self.nodes['C']['x'] - self.K[(uid, 'C')] @ n['x']))
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n['x'] += n['vel'] * DT
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for i in range(1, self.n_lower + 1):
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lid
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n
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rest = self.K[('B', lid)] @ xb
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f = FWD_K * (rest - n['x'])
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f += BACK_A * (self.K[(lid, 'C')].T @
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(self.nodes['C']['x'] - self.K[(lid, 'C')] @ n['x']))
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rest += self.K[(f'U{i}', 'C')] @ self.nodes[f'U{i}']['x']
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for i in range(1, self.n_lower + 1):
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rest += self.K[(f'L{i}', 'C')] @ self.nodes[f'L{i}']['x']
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c['vel'] = c['vel'] * DAMPING + f * DT
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c['x'] += c['vel'] * DT
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# ββ MATRIX LMS UPDATE βββββββββββββββββββββββββββββββββββββββββββββββββββββ
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def _lms_update(self, error
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"""
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Matrix LMS with joint optimal step.
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For the output layer (X β C):
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grad_K = outer(error, h_X) β β^(dΓd)
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joint_denom = Ξ£_edges βh_XβΒ² (one normaliser for all output-layer edges)
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K(X,C) -= grad_K / joint_denom
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This drives βerrorβ β 0 in one step for linear systems (provable).
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For the hidden layer (A/B β U/L):
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delta propagates back through K(X,C):
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Ξ΄_U = K(U,C)α΅ @ error
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grad_K = outer(Ξ΄_U, x_A)
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K(A,U) -= grad_K / βx_AβΒ²
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"""
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eps = 1e-8
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xa = self.nodes['A']['x']
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xb = self.nodes['B']['x']
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#
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joint_denom = eps
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for i in range(1, self.n_upper + 1):
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joint_denom += float(np.dot(hid[f'U{i}'], hid[f'U{i}']))
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for i in range(1, self.n_lower + 1):
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joint_denom += float(np.dot(hid[f'L{i}'], hid[f'L{i}']))
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for i in range(1, self.n_upper + 1):
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uid = f'U{i}'
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key = (uid, 'C')
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if ewc
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denom = joint_denom
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self.K[key] -= grad / denom
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np.clip(self.K[key], -8.0, 8.0, out=self.K[key])
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for i in range(1, self.n_lower + 1):
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lid = f'L{i}'
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key = (lid, 'C')
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if ewc
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denom = joint_denom
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self.K[key] -= grad / denom
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np.clip(self.K[key], -8.0, 8.0, out=self.K[key])
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#
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for i in range(1, self.n_upper + 1):
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uid
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key
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delta = self.K[(uid, 'C')].T @ error
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if ewc
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denom = xa_denom
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self.K[key] -= grad / denom
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np.clip(self.K[key], -8.0, 8.0, out=self.K[key])
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for i in range(1, self.n_lower + 1):
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lid
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key
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delta = self.K[(lid, 'C')].T @ error
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if ewc
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denom = xb_denom
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self.K[key] -= grad / denom
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np.clip(self.K[key], -8.0, 8.0, out=self.K[key])
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# ββ FISHER ACCUMULATION
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def _update_fisher(self, error
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"""
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Accumulate Fisher diagonal via EMA of squared gradient elements.
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High Fisher β this weight dimension was important for past problems.
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"""
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xa = self.nodes['A']['x']
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xb = self.nodes['B']['x']
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for i in range(1, self.n_upper + 1):
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uid = f'U{i}'
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self.fisher[(
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(1 - FISHER_DECAY) * g_au)
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for i in range(1, self.n_lower + 1):
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lid = f'L{i}'
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self.fisher[(
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(1 - FISHER_DECAY) * g_bl)
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# ββ PHYSICS STEP ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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def physics_step(self)
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"""One server tick: elastic display + LMS update."""
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self._elastic_step(MICRO)
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self.
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self.step_count += 1
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c = self.nodes['C']
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if c['anchored']:
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else:
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c['x'] = pred.copy()
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error = (pred - self.c_target
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if self.c_target is not None
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else np.zeros(self.dim))
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self.error_norm = float(np.linalg.norm(error))
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self.history.append(round(self.error_norm, 5))
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timeout = self.step_count >= MAX_STEPS
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if converged or timeout:
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tag = 'β' if converged else 'β '
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if self.mode == 'inference' and self.c_target is not None:
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ct_norm = float(np.linalg.norm(self.c_target)) + 1e-8
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self.test_errors.append({
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'type':
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'abs':
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'rel':
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'ok':
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})
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self._update_fisher(error, hid)
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return self._next_or_stop()
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if c['anchored']:
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# Training: update K to reduce error
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self._lms_update(error, hid, ewc=False)
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elif self.mode == 'inference':
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# Inference: EWC-regularised online adaptation
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self._lms_update(error, hid, ewc=True)
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self.iteration += 1
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return True
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def _next_or_stop(self)
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if self.batch_queue:
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p = self.batch_queue.popleft()
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self.set_problem(p['A'], p['B'], p.get('C'), p.get('type', '
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return True
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self.running = False
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self.add_log("βΌ Queue empty.")
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return False
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# ββ
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def train_offline(self, epochs
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"""
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Run full training at CPU speed (no sleep, no display physics).
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Called in a background thread from /train_offline endpoint.
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"""
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self.running = False
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self.mode = 'training'
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self.add_log(f"β‘ Offline training: {epochs} epoch(s)
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for ep in range(1, epochs + 1):
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random.shuffle(self.train_data)
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total_err = 0.0
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converged = 0
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for sample in self.train_data:
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d
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xa = np.asarray(sample['A']
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xb = np.asarray(sample['B']
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ct = np.asarray(sample['C']
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self.nodes['A']['x'] = xa
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self.nodes['B']['x'] = xb
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self.nodes['C']['x'] = ct
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self.add_log(f" Ep {ep}/{epochs}: avgβeβ={avg:.4f} conv={pct:.1f}%")
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print(f" Ep {ep}/{epochs}: avgβeβ={avg:.4f} converged={pct:.1f}%")
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# Save anchor weights for EWC
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self.K_anchor = {k: v.copy() for k, v in self.K.items()}
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self.add_log("β
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self.mode = 'idle'
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# ββ DATA LOADING ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
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def load_data(self, train='data/train.json', test='data/test.json'):
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with open(train) as f: self.train_data = json.load(f)
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with open(test) as f: self.test_data = json.load(f)
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# ββ QUEUE HELPERS ββββββββββββββββββββββββββοΏ½οΏ½ββββββββββββββββββββββββββββββ
|
| 454 |
|
|
@@ -456,17 +405,16 @@ class MeshEngine:
|
|
| 456 |
data = random.sample(self.train_data,
|
| 457 |
min(n or len(self.train_data), len(self.train_data)))
|
| 458 |
self._fill_queue(data, anchor_c=True)
|
| 459 |
-
self.mode
|
| 460 |
-
self.running = True
|
| 461 |
self.add_log(f"βΆ Visual training: {len(data)} samples")
|
| 462 |
|
| 463 |
def start_inference(self, n=None):
|
| 464 |
data = self.test_data[:n] if n else self.test_data
|
| 465 |
self.test_errors = []
|
| 466 |
self._fill_queue(data, anchor_c=False)
|
| 467 |
-
self.mode
|
| 468 |
-
self.
|
| 469 |
-
|
| 470 |
|
| 471 |
def _fill_queue(self, data, anchor_c):
|
| 472 |
self.batch_queue.clear()
|
|
@@ -479,16 +427,15 @@ class MeshEngine:
|
|
| 479 |
if anchor_c:
|
| 480 |
self.set_problem(p['A'], p['B'], p['C'], p['type'])
|
| 481 |
else:
|
| 482 |
-
# Inference: don't anchor but store target
|
| 483 |
d = self.dim
|
| 484 |
-
self.nodes['A']['x']
|
| 485 |
-
self.nodes['B']['x']
|
| 486 |
-
self.nodes['C']['x']
|
| 487 |
-
self.nodes['C']['vel']
|
| 488 |
self.nodes['C']['anchored'] = False
|
| 489 |
-
self.c_target
|
| 490 |
-
self.current_type
|
| 491 |
-
self.step_count
|
| 492 |
for layer in self.layers[1:4]:
|
| 493 |
for nid in layer:
|
| 494 |
if nid != 'C':
|
|
@@ -502,7 +449,7 @@ class MeshEngine:
|
|
| 502 |
if len(self.logs) > 60:
|
| 503 |
self.logs.pop()
|
| 504 |
|
| 505 |
-
# ββ STATE
|
| 506 |
|
| 507 |
def state_dict(self):
|
| 508 |
nodes_out = {}
|
|
@@ -516,31 +463,34 @@ class MeshEngine:
|
|
| 516 |
|
| 517 |
springs_out = {}
|
| 518 |
for (u, v), km in self.K.items():
|
| 519 |
-
|
| 520 |
-
|
| 521 |
-
'frob': round(float(np.linalg.norm(km)), 4),
|
| 522 |
'mean': round(float(np.mean(km)), 4),
|
| 523 |
'std': round(float(np.std(km)), 4),
|
| 524 |
-
'fish': round(float(np.mean(self.fisher[(u,
|
| 525 |
}
|
| 526 |
|
| 527 |
-
# Per-type
|
| 528 |
type_acc = {}
|
| 529 |
for te in self.test_errors:
|
| 530 |
t = te['type']
|
| 531 |
if t not in type_acc:
|
| 532 |
-
type_acc[t] = {'n':
|
| 533 |
-
type_acc[t]['n']
|
| 534 |
-
type_acc[t]['n_ok']
|
| 535 |
-
type_acc[t]['sum_abs']
|
| 536 |
-
|
| 537 |
-
|
| 538 |
-
|
| 539 |
-
|
| 540 |
-
|
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|
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|
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|
| 541 |
}
|
| 542 |
-
for t, v in type_acc.items()
|
| 543 |
-
}
|
| 544 |
|
| 545 |
return {
|
| 546 |
'nodes': nodes_out,
|
|
@@ -563,6 +513,7 @@ class MeshEngine:
|
|
| 563 |
'n_test_done': len(self.test_errors),
|
| 564 |
'current_type': self.current_type,
|
| 565 |
'dim': self.dim,
|
|
|
|
| 566 |
}
|
| 567 |
|
| 568 |
|
|
@@ -573,7 +524,7 @@ engine = MeshEngine(dim=DIM, n_upper=3, n_lower=3)
|
|
| 573 |
try:
|
| 574 |
engine.load_data()
|
| 575 |
except Exception as e:
|
| 576 |
-
engine.add_log(f"No data
|
| 577 |
|
| 578 |
|
| 579 |
def run_loop():
|
|
@@ -585,70 +536,49 @@ def run_loop():
|
|
| 585 |
threading.Thread(target=run_loop, daemon=True).start()
|
| 586 |
|
| 587 |
|
| 588 |
-
@app.get("/",
|
| 589 |
-
async def get_ui():
|
| 590 |
-
return FileResponse("index.html")
|
| 591 |
|
| 592 |
@app.get("/state")
|
| 593 |
-
async def get_state():
|
| 594 |
-
return engine.state_dict()
|
| 595 |
-
|
| 596 |
-
# ββ Training controls βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 597 |
|
| 598 |
@app.post("/train_visual")
|
| 599 |
async def train_visual(data: dict = {}):
|
| 600 |
-
"""Start visual (slow) training β shows elastic dynamics in UI."""
|
| 601 |
engine.start_training(n=data.get('n'))
|
| 602 |
return {"ok": True}
|
| 603 |
|
| 604 |
@app.post("/train_offline")
|
| 605 |
async def train_offline(data: dict = {}):
|
| 606 |
-
"""Fast offline training in background thread β no display."""
|
| 607 |
epochs = int(data.get('epochs', 5))
|
| 608 |
threading.Thread(target=engine.train_offline, args=(epochs,), daemon=True).start()
|
| 609 |
return {"ok": True, "epochs": epochs}
|
| 610 |
|
| 611 |
@app.post("/infer")
|
| 612 |
async def start_infer(data: dict = {}):
|
| 613 |
-
"""Run inference on test set, measuring C reconstruction accuracy."""
|
| 614 |
engine.start_inference(n=data.get('n'))
|
| 615 |
return {"ok": True}
|
| 616 |
|
| 617 |
@app.post("/reload_data")
|
| 618 |
async def reload_data():
|
| 619 |
-
try:
|
| 620 |
-
|
| 621 |
-
return {"ok": True}
|
| 622 |
-
except Exception as e:
|
| 623 |
-
return {"ok": False, "error": str(e)}
|
| 624 |
-
|
| 625 |
-
# ββ Topology controls ββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 626 |
|
| 627 |
@app.post("/set_layer")
|
| 628 |
async def set_layer(data: dict):
|
| 629 |
-
layer = data.get('layer', '')
|
| 630 |
-
delta = int(data.get('delta', 0))
|
| 631 |
engine.running = False
|
| 632 |
-
if layer == 'upper':
|
| 633 |
-
engine.n_upper = max(1, min(8, engine.n_upper + delta))
|
| 634 |
-
elif layer == 'lower':
|
| 635 |
-
engine.n_lower = max(1, min(8, engine.n_lower + delta))
|
| 636 |
engine._init_mesh()
|
| 637 |
-
engine.add_log(f"Topology β U{engine.n_upper}
|
| 638 |
return {"ok": True, "n_upper": engine.n_upper, "n_lower": engine.n_lower}
|
| 639 |
|
| 640 |
@app.post("/halt")
|
| 641 |
-
async def halt():
|
| 642 |
-
engine.running = False
|
| 643 |
-
return {"ok": True}
|
| 644 |
|
| 645 |
@app.post("/reset")
|
| 646 |
-
async def reset():
|
| 647 |
-
engine.running = False
|
| 648 |
-
engine._init_mesh()
|
| 649 |
-
engine.add_log("Mesh reset.")
|
| 650 |
-
return {"ok": True}
|
| 651 |
-
|
| 652 |
|
| 653 |
if __name__ == "__main__":
|
| 654 |
import uvicorn
|
|
|
|
| 1 |
"""
|
| 2 |
+
main.py β Elastic Mesh Engine v3
|
| 3 |
+
|
| 4 |
+
Changes from v2:
|
| 5 |
+
β Layer normalisation after every spring transform β kills weight explosion
|
| 6 |
+
β‘ Convergence threshold 0.02 (was 0.08) β genuine precision
|
| 7 |
+
β’ DIM = 64 (was 32) β double the space
|
| 8 |
+
β£ OOD test: model trained on seen types only,
|
| 9 |
+
test set contains both seen + unseen types
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 10 |
"""
|
| 11 |
|
| 12 |
import numpy as np
|
|
|
|
| 20 |
allow_origins=["*"], allow_methods=["*"], allow_headers=["*"])
|
| 21 |
|
| 22 |
# ββ CONSTANTS βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 23 |
+
DIM = 64
|
| 24 |
+
FWD_K = 1.5
|
| 25 |
+
BACK_A = 0.40
|
| 26 |
+
DAMPING = 0.58
|
| 27 |
+
DT = 0.10
|
| 28 |
+
MICRO = 4
|
| 29 |
+
CONV_THRESH = 0.02 # β tightened from 0.08
|
| 30 |
+
MAX_STEPS = 600 # β increased to give tighter threshold room
|
| 31 |
+
EWC_LAMBDA = 0.6
|
| 32 |
+
FISHER_DECAY = 0.97
|
| 33 |
+
LN_EPS = 1e-6 # layer norm epsilon
|
| 34 |
+
|
| 35 |
+
|
| 36 |
+
# ββ LAYER NORM ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 37 |
+
def layer_norm(x: np.ndarray) -> np.ndarray:
|
| 38 |
"""
|
| 39 |
+
Zero-mean unit-variance normalisation over the D-vector.
|
| 40 |
+
Applied after every spring transform to prevent the 200Γ amplification
|
| 41 |
+
seen in v2 (input springs were βKββ200 while output springs were βKββ0.8).
|
| 42 |
+
The mesh can still learn arbitrary directions β only the scale is removed.
|
|
|
|
| 43 |
"""
|
| 44 |
+
mu = np.mean(x)
|
| 45 |
+
std = np.std(x) + LN_EPS
|
| 46 |
+
return (x - mu) / std
|
| 47 |
|
| 48 |
+
|
| 49 |
+
class MeshEngine:
|
| 50 |
+
def __init__(self, dim=DIM, n_upper=3, n_lower=3):
|
| 51 |
self.dim = dim
|
| 52 |
self.n_upper = n_upper
|
| 53 |
self.n_lower = n_lower
|
| 54 |
+
self.mode = 'idle'
|
| 55 |
self.running = False
|
| 56 |
self.batch_queue = collections.deque()
|
| 57 |
self.logs = []
|
| 58 |
self.iteration = 0
|
| 59 |
+
self.step_count = 0
|
| 60 |
self.error_norm = 0.0
|
| 61 |
self.pred_norm = 0.0
|
| 62 |
self.history = []
|
| 63 |
self.train_data = []
|
| 64 |
self.test_data = []
|
| 65 |
+
self.c_target = None
|
| 66 |
self.current_type = 'unknown'
|
| 67 |
+
self.test_errors = []
|
| 68 |
self._init_mesh()
|
| 69 |
|
| 70 |
# ββ TOPOLOGY ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
|
|
|
| 87 |
self.layers = self._layers()
|
| 88 |
d = self.dim
|
| 89 |
|
|
|
|
| 90 |
self.nodes = {
|
| 91 |
+
nid: {'x': np.zeros(d), 'vel': np.zeros(d),
|
| 92 |
+
'anchored': nid in ('A', 'B')}
|
|
|
|
|
|
|
|
|
|
| 93 |
for layer in self.layers for nid in layer
|
| 94 |
}
|
| 95 |
|
| 96 |
+
# Xavier init β scale normalised so layer norm doesn't start at extreme values
|
| 97 |
+
scale = np.sqrt(1.0 / d)
|
| 98 |
self.K = {}
|
| 99 |
for i in range(1, self.n_upper + 1):
|
| 100 |
uid = f'U{i}'
|
|
|
|
| 105 |
self.K[('B', lid)] = np.random.normal(0, scale, (d, d))
|
| 106 |
self.K[(lid, 'C')] = np.random.normal(0, scale, (d, d))
|
| 107 |
|
| 108 |
+
self.fisher = {k: np.zeros((d, d)) for k in self.K}
|
|
|
|
| 109 |
self.K_anchor = {k: v.copy() for k, v in self.K.items()}
|
| 110 |
|
| 111 |
# ββ PROBLEM SETUP βββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
|
|
|
| 117 |
self.current_type = ptype
|
| 118 |
self.step_count = 0
|
| 119 |
|
|
|
|
| 120 |
for layer in self.layers[1:4]:
|
| 121 |
for nid in layer:
|
| 122 |
if nid != 'C':
|
|
|
|
| 125 |
|
| 126 |
c = self.nodes['C']
|
| 127 |
c['vel'] = np.zeros(d)
|
|
|
|
| 128 |
if self.mode == 'training' and c_target is not None:
|
| 129 |
c['x'] = np.asarray(c_target, dtype=float)[:d]
|
| 130 |
c['anchored'] = True
|
| 131 |
self.c_target = c['x'].copy()
|
| 132 |
else:
|
|
|
|
| 133 |
c['anchored'] = False
|
| 134 |
c['x'] = np.zeros(d)
|
| 135 |
self.c_target = (np.asarray(c_target, dtype=float)[:d]
|
| 136 |
if c_target is not None else None)
|
| 137 |
|
| 138 |
+
# ββ FEEDFORWARD (with layer norm) βββββββββββββββββββββββββββββββββββββββββ
|
| 139 |
|
| 140 |
def _forward(self):
|
| 141 |
"""
|
| 142 |
+
Exact feedforward pass.
|
| 143 |
+
layer_norm applied after each K transform β prevents scale explosion.
|
| 144 |
+
The normalised activations are what the output springs read.
|
| 145 |
"""
|
| 146 |
xa, xb = self.nodes['A']['x'], self.nodes['B']['x']
|
| 147 |
hid = {}
|
| 148 |
|
| 149 |
for i in range(1, self.n_upper + 1):
|
| 150 |
+
uid = f'U{i}'
|
| 151 |
+
raw = self.K[('A', uid)] @ xa
|
| 152 |
+
hid[uid] = layer_norm(raw) # β norm here
|
| 153 |
|
| 154 |
for i in range(1, self.n_lower + 1):
|
| 155 |
+
lid = f'L{i}'
|
| 156 |
+
raw = self.K[('B', lid)] @ xb
|
| 157 |
+
hid[lid] = layer_norm(raw) # β norm here
|
| 158 |
|
| 159 |
pred = np.zeros(self.dim)
|
| 160 |
for i in range(1, self.n_upper + 1):
|
|
|
|
| 162 |
for i in range(1, self.n_lower + 1):
|
| 163 |
pred += self.K[(f'L{i}', 'C')] @ hid[f'L{i}']
|
| 164 |
|
| 165 |
+
# Final layer norm on prediction keeps C in a consistent scale range
|
| 166 |
+
pred = layer_norm(pred)
|
| 167 |
return pred, hid
|
| 168 |
|
| 169 |
# ββ ELASTIC DISPLAY PHYSICS βββββββββββββββββββββββββββββββββββββββββββββββ
|
| 170 |
|
| 171 |
+
def _elastic_step(self, n_steps=MICRO):
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 172 |
xa, xb = self.nodes['A']['x'], self.nodes['B']['x']
|
|
|
|
| 173 |
for _ in range(n_steps):
|
| 174 |
for i in range(1, self.n_upper + 1):
|
| 175 |
+
uid = f'U{i}'
|
| 176 |
+
n = self.nodes[uid]
|
| 177 |
+
rest = layer_norm(self.K[('A', uid)] @ xa)
|
| 178 |
f = FWD_K * (rest - n['x'])
|
| 179 |
f += BACK_A * (self.K[(uid, 'C')].T @
|
| 180 |
(self.nodes['C']['x'] - self.K[(uid, 'C')] @ n['x']))
|
|
|
|
| 182 |
n['x'] += n['vel'] * DT
|
| 183 |
|
| 184 |
for i in range(1, self.n_lower + 1):
|
| 185 |
+
lid = f'L{i}'
|
| 186 |
+
n = self.nodes[lid]
|
| 187 |
+
rest = layer_norm(self.K[('B', lid)] @ xb)
|
| 188 |
f = FWD_K * (rest - n['x'])
|
| 189 |
f += BACK_A * (self.K[(lid, 'C')].T @
|
| 190 |
(self.nodes['C']['x'] - self.K[(lid, 'C')] @ n['x']))
|
|
|
|
| 198 |
rest += self.K[(f'U{i}', 'C')] @ self.nodes[f'U{i}']['x']
|
| 199 |
for i in range(1, self.n_lower + 1):
|
| 200 |
rest += self.K[(f'L{i}', 'C')] @ self.nodes[f'L{i}']['x']
|
| 201 |
+
rest = layer_norm(rest)
|
| 202 |
+
f = FWD_K * (rest - c['x'])
|
| 203 |
c['vel'] = c['vel'] * DAMPING + f * DT
|
| 204 |
c['x'] += c['vel'] * DT
|
| 205 |
|
| 206 |
# ββ MATRIX LMS UPDATE βββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 207 |
|
| 208 |
+
def _lms_update(self, error, hid, ewc=False):
|
| 209 |
"""
|
| 210 |
+
Matrix LMS with joint optimal step + layer norm jacobian correction.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 211 |
|
| 212 |
+
Because we apply layer norm after K@x, the gradient of the normed output
|
| 213 |
+
with respect to K is scaled by the Jacobian of layer norm.
|
| 214 |
+
For LN(Kx): βLN(Kx)/βK β (I - outer(Ε·,Ε·)) @ outer(Β·, x) / std
|
| 215 |
+
We use a first-order approximation: scale grad by 1/std of pre-norm.
|
| 216 |
"""
|
| 217 |
eps = 1e-8
|
| 218 |
xa = self.nodes['A']['x']
|
| 219 |
xb = self.nodes['B']['x']
|
| 220 |
|
| 221 |
+
# Joint denominator across all output-layer edges
|
| 222 |
joint_denom = eps
|
| 223 |
for i in range(1, self.n_upper + 1):
|
| 224 |
joint_denom += float(np.dot(hid[f'U{i}'], hid[f'U{i}']))
|
| 225 |
for i in range(1, self.n_lower + 1):
|
| 226 |
joint_denom += float(np.dot(hid[f'L{i}'], hid[f'L{i}']))
|
| 227 |
|
| 228 |
+
# Output layer (Xi β C)
|
| 229 |
for i in range(1, self.n_upper + 1):
|
| 230 |
uid = f'U{i}'
|
| 231 |
key = (uid, 'C')
|
| 232 |
+
g = np.outer(error, hid[uid])
|
| 233 |
+
d = joint_denom * (1.0 + EWC_LAMBDA * self.fisher[key]) if ewc else joint_denom
|
| 234 |
+
self.K[key] -= g / d
|
| 235 |
+
np.clip(self.K[key], -10.0, 10.0, out=self.K[key])
|
|
|
|
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|
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|
|
| 236 |
|
| 237 |
for i in range(1, self.n_lower + 1):
|
| 238 |
lid = f'L{i}'
|
| 239 |
key = (lid, 'C')
|
| 240 |
+
g = np.outer(error, hid[lid])
|
| 241 |
+
d = joint_denom * (1.0 + EWC_LAMBDA * self.fisher[key]) if ewc else joint_denom
|
| 242 |
+
self.K[key] -= g / d
|
| 243 |
+
np.clip(self.K[key], -10.0, 10.0, out=self.K[key])
|
|
|
|
|
|
|
|
|
|
| 244 |
|
| 245 |
+
# Hidden layer (A/B β U/L) β backprop through layer norm approx
|
| 246 |
+
xa_std = float(np.std(xa)) + eps
|
| 247 |
+
xb_std = float(np.std(xb)) + eps
|
| 248 |
+
xa_denom = float(np.dot(xa, xa)) / xa_std + eps
|
| 249 |
+
xb_denom = float(np.dot(xb, xb)) / xb_std + eps
|
| 250 |
|
| 251 |
for i in range(1, self.n_upper + 1):
|
| 252 |
+
uid = f'U{i}'
|
| 253 |
+
key = ('A', uid)
|
| 254 |
+
delta = self.K[(uid, 'C')].T @ error
|
| 255 |
+
g = np.outer(delta, xa) / xa_std
|
| 256 |
+
d = xa_denom * (1.0 + EWC_LAMBDA * self.fisher[key]) if ewc else xa_denom
|
| 257 |
+
self.K[key] -= g / d
|
| 258 |
+
np.clip(self.K[key], -10.0, 10.0, out=self.K[key])
|
|
|
|
|
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|
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|
|
| 259 |
|
| 260 |
for i in range(1, self.n_lower + 1):
|
| 261 |
+
lid = f'L{i}'
|
| 262 |
+
key = ('B', lid)
|
| 263 |
delta = self.K[(lid, 'C')].T @ error
|
| 264 |
+
g = np.outer(delta, xb) / xb_std
|
| 265 |
+
d = xb_denom * (1.0 + EWC_LAMBDA * self.fisher[key]) if ewc else xb_denom
|
| 266 |
+
self.K[key] -= g / d
|
| 267 |
+
np.clip(self.K[key], -10.0, 10.0, out=self.K[key])
|
|
|
|
|
|
|
|
|
|
| 268 |
|
| 269 |
+
# ββ FISHER ACCUMULATION βββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 270 |
|
| 271 |
+
def _update_fisher(self, error, hid):
|
|
|
|
|
|
|
|
|
|
|
|
|
| 272 |
xa = self.nodes['A']['x']
|
| 273 |
xb = self.nodes['B']['x']
|
|
|
|
| 274 |
for i in range(1, self.n_upper + 1):
|
| 275 |
uid = f'U{i}'
|
| 276 |
+
self.fisher[(uid, 'C')] = (FISHER_DECAY * self.fisher[(uid, 'C')] +
|
| 277 |
+
(1-FISHER_DECAY) * np.outer(error, hid[uid])**2)
|
| 278 |
+
self.fisher[('A', uid)] = (FISHER_DECAY * self.fisher[('A', uid)] +
|
| 279 |
+
(1-FISHER_DECAY) * np.outer(
|
| 280 |
+
self.K[(uid,'C')].T @ error, xa)**2)
|
|
|
|
|
|
|
| 281 |
for i in range(1, self.n_lower + 1):
|
| 282 |
lid = f'L{i}'
|
| 283 |
+
self.fisher[(lid, 'C')] = (FISHER_DECAY * self.fisher[(lid, 'C')] +
|
| 284 |
+
(1-FISHER_DECAY) * np.outer(error, hid[lid])**2)
|
| 285 |
+
self.fisher[('B', lid)] = (FISHER_DECAY * self.fisher[('B', lid)] +
|
| 286 |
+
(1-FISHER_DECAY) * np.outer(
|
| 287 |
+
self.K[(lid,'C')].T @ error, xb)**2)
|
|
|
|
| 288 |
|
| 289 |
# ββ PHYSICS STEP ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 290 |
|
| 291 |
+
def physics_step(self):
|
|
|
|
| 292 |
self._elastic_step(MICRO)
|
| 293 |
+
pred, hid = self._forward()
|
| 294 |
+
self.pred_norm = float(np.linalg.norm(pred))
|
| 295 |
+
self.step_count += 1
|
|
|
|
| 296 |
|
| 297 |
c = self.nodes['C']
|
| 298 |
if c['anchored']:
|
|
|
|
| 301 |
else:
|
| 302 |
c['x'] = pred.copy()
|
| 303 |
error = (pred - self.c_target
|
| 304 |
+
if self.c_target is not None else np.zeros(self.dim))
|
|
|
|
| 305 |
self.error_norm = float(np.linalg.norm(error))
|
| 306 |
|
| 307 |
self.history.append(round(self.error_norm, 5))
|
|
|
|
| 312 |
timeout = self.step_count >= MAX_STEPS
|
| 313 |
|
| 314 |
if converged or timeout:
|
| 315 |
+
tag = 'β' if converged else 'β TIMEOUT'
|
| 316 |
+
is_ood = self.current_type in ('sphere', 'simplex')
|
| 317 |
+
ood_tag = ' [OOD]' if is_ood else ' [seen]'
|
| 318 |
+
self.add_log(f"{tag}{ood_tag} [{self.current_type}] "
|
| 319 |
+
f"err={self.error_norm:.4f} steps={self.step_count}")
|
| 320 |
if self.mode == 'inference' and self.c_target is not None:
|
| 321 |
ct_norm = float(np.linalg.norm(self.c_target)) + 1e-8
|
| 322 |
self.test_errors.append({
|
| 323 |
+
'type': self.current_type,
|
| 324 |
+
'abs': round(self.error_norm, 5),
|
| 325 |
+
'rel': round(self.error_norm / ct_norm, 5),
|
| 326 |
+
'ok': converged,
|
| 327 |
+
'steps': self.step_count,
|
| 328 |
+
'ood': is_ood,
|
| 329 |
})
|
| 330 |
self._update_fisher(error, hid)
|
| 331 |
return self._next_or_stop()
|
| 332 |
|
| 333 |
if c['anchored']:
|
|
|
|
| 334 |
self._lms_update(error, hid, ewc=False)
|
| 335 |
elif self.mode == 'inference':
|
|
|
|
| 336 |
self._lms_update(error, hid, ewc=True)
|
| 337 |
|
| 338 |
self.iteration += 1
|
| 339 |
return True
|
| 340 |
|
| 341 |
+
def _next_or_stop(self):
|
| 342 |
if self.batch_queue:
|
| 343 |
p = self.batch_queue.popleft()
|
| 344 |
+
self.set_problem(p['A'], p['B'], p.get('C'), p.get('type', '?'))
|
| 345 |
return True
|
| 346 |
self.running = False
|
| 347 |
self.add_log("βΌ Queue empty.")
|
| 348 |
return False
|
| 349 |
|
| 350 |
+
# ββ OFFLINE TRAINING ββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 351 |
|
| 352 |
+
def train_offline(self, epochs=5):
|
|
|
|
|
|
|
|
|
|
|
|
|
| 353 |
self.running = False
|
| 354 |
self.mode = 'training'
|
| 355 |
+
self.add_log(f"β‘ Offline training: {epochs} epoch(s) | dim={self.dim} | thresh={CONV_THRESH}")
|
| 356 |
|
| 357 |
for ep in range(1, epochs + 1):
|
| 358 |
random.shuffle(self.train_data)
|
| 359 |
+
total_err, converged = 0.0, 0
|
|
|
|
| 360 |
|
| 361 |
for sample in self.train_data:
|
| 362 |
+
d = self.dim
|
| 363 |
+
xa = np.asarray(sample['A'])[:d]
|
| 364 |
+
xb = np.asarray(sample['B'])[:d]
|
| 365 |
+
ct = np.asarray(sample['C'])[:d]
|
| 366 |
self.nodes['A']['x'] = xa
|
| 367 |
self.nodes['B']['x'] = xb
|
| 368 |
self.nodes['C']['x'] = ct
|
|
|
|
| 384 |
self.add_log(f" Ep {ep}/{epochs}: avgβeβ={avg:.4f} conv={pct:.1f}%")
|
| 385 |
print(f" Ep {ep}/{epochs}: avgβeβ={avg:.4f} converged={pct:.1f}%")
|
| 386 |
|
|
|
|
| 387 |
self.K_anchor = {k: v.copy() for k, v in self.K.items()}
|
| 388 |
+
self.add_log("β Training done. EWC anchors saved.")
|
| 389 |
self.mode = 'idle'
|
| 390 |
|
| 391 |
# ββ DATA LOADING ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
|
|
|
| 393 |
def load_data(self, train='data/train.json', test='data/test.json'):
|
| 394 |
with open(train) as f: self.train_data = json.load(f)
|
| 395 |
with open(test) as f: self.test_data = json.load(f)
|
| 396 |
+
# Count OOD types in test
|
| 397 |
+
ood = sum(1 for d in self.test_data if d['type'] in ('sphere','simplex'))
|
| 398 |
+
seen = len(self.test_data) - ood
|
| 399 |
+
self.add_log(f"Data: {len(self.train_data)} train | "
|
| 400 |
+
f"{len(self.test_data)} test ({seen} seen / {ood} OOD)")
|
| 401 |
|
| 402 |
# ββ QUEUE HELPERS ββββββββββββββββββββββββββοΏ½οΏ½ββββββββββββββββββββββββββββββ
|
| 403 |
|
|
|
|
| 405 |
data = random.sample(self.train_data,
|
| 406 |
min(n or len(self.train_data), len(self.train_data)))
|
| 407 |
self._fill_queue(data, anchor_c=True)
|
| 408 |
+
self.mode = 'training'; self.running = True
|
|
|
|
| 409 |
self.add_log(f"βΆ Visual training: {len(data)} samples")
|
| 410 |
|
| 411 |
def start_inference(self, n=None):
|
| 412 |
data = self.test_data[:n] if n else self.test_data
|
| 413 |
self.test_errors = []
|
| 414 |
self._fill_queue(data, anchor_c=False)
|
| 415 |
+
self.mode = 'inference'; self.running = True
|
| 416 |
+
self.add_log(f"βΆ Inference: {len(data)} samples "
|
| 417 |
+
f"({sum(1 for d in data if d['type'] in ('sphere','simplex'))} OOD)")
|
| 418 |
|
| 419 |
def _fill_queue(self, data, anchor_c):
|
| 420 |
self.batch_queue.clear()
|
|
|
|
| 427 |
if anchor_c:
|
| 428 |
self.set_problem(p['A'], p['B'], p['C'], p['type'])
|
| 429 |
else:
|
|
|
|
| 430 |
d = self.dim
|
| 431 |
+
self.nodes['A']['x'] = np.asarray(p['A'])[:d]
|
| 432 |
+
self.nodes['B']['x'] = np.asarray(p['B'])[:d]
|
| 433 |
+
self.nodes['C']['x'] = np.zeros(d)
|
| 434 |
+
self.nodes['C']['vel'] = np.zeros(d)
|
| 435 |
self.nodes['C']['anchored'] = False
|
| 436 |
+
self.c_target = np.asarray(p['C'])[:d]
|
| 437 |
+
self.current_type = p['type']
|
| 438 |
+
self.step_count = 0
|
| 439 |
for layer in self.layers[1:4]:
|
| 440 |
for nid in layer:
|
| 441 |
if nid != 'C':
|
|
|
|
| 449 |
if len(self.logs) > 60:
|
| 450 |
self.logs.pop()
|
| 451 |
|
| 452 |
+
# ββ STATE DICT ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 453 |
|
| 454 |
def state_dict(self):
|
| 455 |
nodes_out = {}
|
|
|
|
| 463 |
|
| 464 |
springs_out = {}
|
| 465 |
for (u, v), km in self.K.items():
|
| 466 |
+
springs_out[f"{u}β{v}"] = {
|
| 467 |
+
'frob': round(float(np.linalg.norm(km)), 3),
|
|
|
|
| 468 |
'mean': round(float(np.mean(km)), 4),
|
| 469 |
'std': round(float(np.std(km)), 4),
|
| 470 |
+
'fish': round(float(np.mean(self.fisher[(u,v)])), 5),
|
| 471 |
}
|
| 472 |
|
| 473 |
+
# Per-type accuracy β separate SEEN vs OOD
|
| 474 |
type_acc = {}
|
| 475 |
for te in self.test_errors:
|
| 476 |
t = te['type']
|
| 477 |
if t not in type_acc:
|
| 478 |
+
type_acc[t] = {'n':0,'n_ok':0,'sum_abs':0.0,'sum_steps':0,'ood':te['ood']}
|
| 479 |
+
type_acc[t]['n'] += 1
|
| 480 |
+
type_acc[t]['n_ok'] += int(te['ok'])
|
| 481 |
+
type_acc[t]['sum_abs'] += te['abs']
|
| 482 |
+
type_acc[t]['sum_steps'] += te['steps']
|
| 483 |
+
|
| 484 |
+
acc_summary = {}
|
| 485 |
+
for t, v in type_acc.items():
|
| 486 |
+
n = max(v['n'], 1)
|
| 487 |
+
acc_summary[t] = {
|
| 488 |
+
'n': v['n'],
|
| 489 |
+
'acc': round(100 * v['n_ok'] / n, 1),
|
| 490 |
+
'avg_err': round(v['sum_abs'] / n, 4),
|
| 491 |
+
'avg_steps': round(v['sum_steps'] / n, 1),
|
| 492 |
+
'ood': v['ood'],
|
| 493 |
}
|
|
|
|
|
|
|
| 494 |
|
| 495 |
return {
|
| 496 |
'nodes': nodes_out,
|
|
|
|
| 513 |
'n_test_done': len(self.test_errors),
|
| 514 |
'current_type': self.current_type,
|
| 515 |
'dim': self.dim,
|
| 516 |
+
'conv_thresh': CONV_THRESH,
|
| 517 |
}
|
| 518 |
|
| 519 |
|
|
|
|
| 524 |
try:
|
| 525 |
engine.load_data()
|
| 526 |
except Exception as e:
|
| 527 |
+
engine.add_log(f"β No data β run: python data_gen.py ({e})")
|
| 528 |
|
| 529 |
|
| 530 |
def run_loop():
|
|
|
|
| 536 |
threading.Thread(target=run_loop, daemon=True).start()
|
| 537 |
|
| 538 |
|
| 539 |
+
@app.get("/", response_class=HTMLResponse)
|
| 540 |
+
async def get_ui(): return FileResponse("index.html")
|
|
|
|
| 541 |
|
| 542 |
@app.get("/state")
|
| 543 |
+
async def get_state(): return engine.state_dict()
|
|
|
|
|
|
|
|
|
|
| 544 |
|
| 545 |
@app.post("/train_visual")
|
| 546 |
async def train_visual(data: dict = {}):
|
|
|
|
| 547 |
engine.start_training(n=data.get('n'))
|
| 548 |
return {"ok": True}
|
| 549 |
|
| 550 |
@app.post("/train_offline")
|
| 551 |
async def train_offline(data: dict = {}):
|
|
|
|
| 552 |
epochs = int(data.get('epochs', 5))
|
| 553 |
threading.Thread(target=engine.train_offline, args=(epochs,), daemon=True).start()
|
| 554 |
return {"ok": True, "epochs": epochs}
|
| 555 |
|
| 556 |
@app.post("/infer")
|
| 557 |
async def start_infer(data: dict = {}):
|
|
|
|
| 558 |
engine.start_inference(n=data.get('n'))
|
| 559 |
return {"ok": True}
|
| 560 |
|
| 561 |
@app.post("/reload_data")
|
| 562 |
async def reload_data():
|
| 563 |
+
try: engine.load_data(); return {"ok": True}
|
| 564 |
+
except Exception as e: return {"ok": False, "error": str(e)}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 565 |
|
| 566 |
@app.post("/set_layer")
|
| 567 |
async def set_layer(data: dict):
|
|
|
|
|
|
|
| 568 |
engine.running = False
|
| 569 |
+
if data.get('layer') == 'upper':
|
| 570 |
+
engine.n_upper = max(1, min(8, engine.n_upper + int(data['delta'])))
|
| 571 |
+
elif data.get('layer') == 'lower':
|
| 572 |
+
engine.n_lower = max(1, min(8, engine.n_lower + int(data['delta'])))
|
| 573 |
engine._init_mesh()
|
| 574 |
+
engine.add_log(f"Topology β U{engine.n_upper}Β·L{engine.n_lower}")
|
| 575 |
return {"ok": True, "n_upper": engine.n_upper, "n_lower": engine.n_lower}
|
| 576 |
|
| 577 |
@app.post("/halt")
|
| 578 |
+
async def halt(): engine.running = False; return {"ok": True}
|
|
|
|
|
|
|
| 579 |
|
| 580 |
@app.post("/reset")
|
| 581 |
+
async def reset(): engine.running = False; engine._init_mesh(); return {"ok": True}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 582 |
|
| 583 |
if __name__ == "__main__":
|
| 584 |
import uvicorn
|