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"""Continuous BCI dynamics for the preregistered Harnett-signature study.
Learning is manual and local. Autograd is never enabled. The environment's
scalar loss is observed only through antithetic neural perturbations; the
resulting causal targets calibrate a cell-specific apical vectorizer.
"""
from dataclasses import dataclass
import torch
@dataclass(frozen=True)
class BCIConfig:
n_plus: int = 5
n_minus: int = 5
n_background: int = 30
context_dim: int = 16
steps_per_episode: int = 28
episodes_per_day: int = 64
days: int = 14
target: float = 0.8
inertia: float = 0.65
process_noise: float = 0.12
context_ar: float = 0.8
coupling_scale: float = 1.0
predictor_eta: float = 0.2
vectorizer_eta: float = 0.03
forward_eta: float = 0.01
perturb_sigma: float = 0.03
perturb_every: int = 4
kappa: float = 0.0
feedback: str = "error"
@property
def n_neurons(self):
return self.n_plus + self.n_minus + self.n_background
@property
def feedback_dim(self):
return 1 if self.feedback in ("error", "performance_velocity") else 2
def validate(self):
if self.feedback not in (
"error", "error_velocity", "performance_velocity"):
raise ValueError(f"unknown BCI feedback: {self.feedback}")
if self.n_plus < 1 or self.n_minus < 1 or self.n_background < 1:
raise ValueError("all BCI populations must be nonempty")
if self.context_dim < 2:
raise ValueError("context_dim includes a bias and must be at least two")
if self.steps_per_episode < 2 or self.episodes_per_day < 2 or self.days < 2:
raise ValueError("BCI trajectories require multiple steps, episodes, and days")
if not 0 <= self.context_ar < 1:
raise ValueError("context_ar must lie in [0,1)")
if self.perturb_every < 1 or self.perturb_sigma <= 0:
raise ValueError("perturbation schedule must be positive")
@dataclass
class BCITrajectories:
context: torch.Tensor
process_noise: torch.Tensor
perturbations: torch.Tensor
task_seed: int
@property
def shape(self):
return self.context.shape[:3]
def causal_roles(cfg, *, device="cpu", dtype=torch.float32):
"""Experimenter-defined P+/P-/P0 contribution to the scalar cursor."""
role = torch.zeros(cfg.n_neurons, device=device, dtype=dtype)
role[:cfg.n_plus] = 1.0 / cfg.n_plus
role[cfg.n_plus:cfg.n_plus + cfg.n_minus] = -1.0 / cfg.n_minus
return role
def generate_trajectories(cfg, task_seed, *, days=None, episodes=None,
device="cpu", dtype=torch.float32):
"""Generate paired exogenous context, process noise, and causal probes.
Model variants receive this same object, which makes all environmental and
perturbation randomness exactly paired. The first context component is a
constant bias; the others follow independent AR(1) dynamics within each
episode and reset at episode boundaries.
"""
cfg.validate()
days = cfg.days if days is None else days
episodes = cfg.episodes_per_day if episodes is None else episodes
generator = torch.Generator(device="cpu").manual_seed(task_seed)
shape = (days, episodes, cfg.steps_per_episode)
innovations = torch.randn(
*shape, cfg.context_dim - 1, generator=generator, dtype=dtype)
context = torch.empty(*shape, cfg.context_dim, dtype=dtype)
context[..., 0] = 1.0
state = torch.zeros(days, episodes, cfg.context_dim - 1, dtype=dtype)
innovation_scale = (1.0 - cfg.context_ar ** 2) ** 0.5
for step in range(cfg.steps_per_episode):
state = cfg.context_ar * state + innovation_scale * innovations[:, :, step]
context[:, :, step, 1:] = state
noise = cfg.process_noise * torch.randn(
*shape, cfg.n_neurons, generator=generator, dtype=dtype)
perturbations = torch.empty(
*shape, cfg.n_neurons, dtype=dtype).bernoulli_(0.5, generator=generator)
perturbations.mul_(2).sub_(1)
return BCITrajectories(
context=context.to(device), process_noise=noise.to(device),
perturbations=perturbations.to(device), task_seed=task_seed)
class BCISDIL:
"""Manual local learner for the continuous synthetic BCI."""
def __init__(self, cfg, model_seed=0, *, device="cpu", dtype=torch.float32):
cfg.validate()
self.cfg = cfg
self.device = device
self.dtype = dtype
self.role = causal_roles(cfg, device=device, dtype=dtype)
generator = torch.Generator(device="cpu").manual_seed(model_seed)
self.W = (0.15 * torch.randn(
cfg.n_neurons, cfg.context_dim, generator=generator, dtype=dtype)
/ cfg.context_dim ** 0.5).to(device)
self.A = (0.05 * torch.randn(
cfg.n_neurons, cfg.feedback_dim, generator=generator, dtype=dtype)
/ cfg.feedback_dim ** 0.5).to(device)
self.coupling = (cfg.coupling_scale * torch.exp(
0.2 * torch.randn(cfg.n_neurons, generator=generator, dtype=dtype))).to(device)
self.P = torch.zeros(cfg.n_neurons, device=device, dtype=dtype)
self.P_bias = torch.zeros(cfg.n_neurons, device=device, dtype=dtype)
self.model_seed = model_seed
def clone(self):
other = BCISDIL(
self.cfg, self.model_seed, device=self.device, dtype=self.dtype)
for name in ("W", "A", "coupling", "P", "P_bias"):
setattr(other, name, getattr(self, name).clone())
return other
def feedback_features(self, error, previous_abs_error):
if self.cfg.feedback == "error":
return error.unsqueeze(1)
improvement_velocity = (torch.zeros_like(error) if previous_abs_error is None
else previous_abs_error - error.abs())
if self.cfg.feedback == "performance_velocity":
return improvement_velocity.unsqueeze(1)
return torch.stack((error, improvement_velocity), dim=1)
def apical_components(self, soma, feedback):
ordinary = self.coupling * soma
instructional = feedback @ self.A.t()
raw = ordinary + instructional
baseline = self.P * soma + self.P_bias
return raw, raw - baseline, ordinary, instructional
def causal_targets(self, soma, target, perturbations):
"""One simultaneous antithetic forward-only causal target per cell."""
sigma = self.cfg.perturb_sigma
plus = soma + sigma * perturbations
minus = soma - sigma * perturbations
error_plus = target - plus @ self.role
error_minus = target - minus @ self.role
loss_plus = 0.5 * error_plus.square()
loss_minus = 0.5 * error_minus.square()
directional_derivative = (loss_plus - loss_minus) / (2.0 * sigma)
return -directional_derivative.unsqueeze(1) * perturbations
def causal_role_targets(self, cursor_plus, cursor_minus, perturbations):
"""Estimate each cell's signed causal effect on the BCI cursor.
Unlike ``causal_targets``, this target contains no instantaneous error
magnitude. A scalar antithetic cursor difference is tagged by the
locally available perturbation at each cell; its expectation is the
experimenter-unknown causal role vector. The learner receives the two
scalar cursor observations and cannot read the environment's role map.
"""
sigma = self.cfg.perturb_sigma
directional_derivative = (
cursor_plus - cursor_minus) / (2.0 * sigma)
return directional_derivative.unsqueeze(1) * perturbations
def exact_causal_direction(self, soma, target):
"""Analytic diagnostic only; never used by a learning update."""
error = target - soma @ self.role
return error.unsqueeze(1) * self.role.unsqueeze(0)
def update_predictor(self, soma, ordinary, active):
"""Per-cell centered normalized-LMS fit of neutral apical traffic."""
if not bool(active.any()):
return
selected_soma = soma[active]
selected_target = ordinary[active]
residual = selected_target - (
self.P * selected_soma + self.P_bias)
soma_centered = selected_soma - selected_soma.mean(0)
residual_centered = residual - residual.mean(0)
variance = soma_centered.square().mean(0)
self.P += self.cfg.predictor_eta * (
(residual_centered * soma_centered).mean(0) / (variance + 1e-6))
self.P_bias += self.cfg.predictor_eta * residual.mean(0)
def update_vectorizer(self, feedback, innovation, causal_target, active):
if not bool(active.any()):
return
if self.cfg.feedback == "performance_velocity":
# Role identification and performance modulation are deliberately
# separated. The former is an amortized node-perturbation estimate
# of dz/dh_i; the latter enters apical activity only through the
# within-episode performance innovation in ``feedback``.
target = causal_target[active].mean(0)
self.A[:, 0] += self.cfg.vectorizer_eta * (
target - self.A[:, 0])
return
c = feedback[active]
calibration_error = causal_target[active] - innovation[active]
self.A += self.cfg.vectorizer_eta * (
calibration_error.t() @ c / c.shape[0])
def update_forward(self, context, soma, innovation, active, plasticity_gain):
if plasticity_gain == 0 or not bool(active.any()):
return
eligibility_gain = 1.0 - soma.square()
local_delta = plasticity_gain * innovation * eligibility_gain
self.W += self.cfg.forward_eta * (
local_delta[active].t() @ context[active] / active.sum())
def step(self, context, process_noise, perturbations, previous_soma,
previous_abs_error, active, global_step, *, control_gain=1.0,
plasticity_gain=1.0, learn_vectorizer=True,
learn_predictor=True):
"""Advance one contiguous BCI step and optionally apply local updates.
``control_gain`` affects state but not the plasticity signal.
``plasticity_gain`` affects W but not online state. This separation is
the preregistered phase lesion. All tensors are minibatches of episodes.
"""
with torch.no_grad():
u = context @ self.W.t() + self.cfg.inertia * previous_soma + process_noise
base_soma = torch.tanh(u)
base_cursor = base_soma @ self.role
base_error = self.cfg.target - base_cursor
feedback = self.feedback_features(base_error, previous_abs_error)
raw, innovation, ordinary, instructional = self.apical_components(
base_soma, feedback)
innovation = innovation * active.unsqueeze(1)
controlled = torch.clamp(
base_soma + control_gain * self.cfg.kappa * innovation, -1.0, 1.0)
soma = torch.where(active.unsqueeze(1), controlled, previous_soma)
cursor = soma @ self.role
error = self.cfg.target - cursor
loss = 0.5 * error.square()
did_perturb = (learn_vectorizer
and global_step % self.cfg.perturb_every == 0)
causal_target = None
if did_perturb:
if self.cfg.feedback == "performance_velocity":
sigma = self.cfg.perturb_sigma
# These two scalar values are environment observations.
# ``causal_role_targets`` has no access to ``self.role``.
cursor_plus = (
base_soma + sigma * perturbations) @ self.role
cursor_minus = (
base_soma - sigma * perturbations) @ self.role
causal_target = self.causal_role_targets(
cursor_plus, cursor_minus, perturbations)
else:
causal_target = self.causal_targets(
base_soma, self.cfg.target, perturbations)
# All updates see the same pre-update state. The order below only
# mutates parameters after every required local quantity is stored.
self.update_forward(
context, base_soma, innovation, active, plasticity_gain)
if did_perturb and learn_vectorizer:
self.update_vectorizer(
feedback, innovation, causal_target, active)
if learn_predictor:
self.update_predictor(base_soma, ordinary, active)
return {
"soma": soma,
"base_soma": base_soma,
"cursor": cursor,
"error": error,
"abs_error": error.abs(),
"loss": loss,
"feedback": feedback,
"raw_apical": raw,
"innovation": innovation,
"ordinary_apical": ordinary,
"instructional_apical": instructional,
"causal_target": causal_target,
"did_perturb": did_perturb,
}
def run_day(model, trajectories, day, *, control_gain=1.0,
plasticity_gain=1.0, learn_vectorizer=True,
learn_predictor=True, collect=False, global_step=0):
"""Run one parallel batch of episodes and return success plus event data."""
cfg = model.cfg
episodes = trajectories.context.shape[1]
soma = torch.zeros(
episodes, cfg.n_neurons, device=model.device, dtype=model.dtype)
previous_abs_error = None
active = torch.ones(episodes, device=model.device, dtype=torch.bool)
success = torch.zeros_like(active)
events = []
for step_index in range(cfg.steps_per_episode):
previous_soma_for_record = soma
previous_error_for_record = (torch.full(
(episodes,), abs(cfg.target), device=model.device, dtype=model.dtype)
if previous_abs_error is None
else previous_abs_error)
record = model.step(
trajectories.context[day, :, step_index],
trajectories.process_noise[day, :, step_index],
trajectories.perturbations[day, :, step_index],
soma, previous_abs_error, active, global_step,
control_gain=control_gain, plasticity_gain=plasticity_gain,
learn_vectorizer=learn_vectorizer,
learn_predictor=learn_predictor)
newly_successful = active & (record["cursor"] >= cfg.target)
success |= newly_successful
if collect:
events.append({
key: value.detach().cpu().clone()
for key, value in record.items()
if isinstance(value, torch.Tensor)
} | {
"active": active.detach().cpu().clone(),
"success": success.detach().cpu().clone(),
"previous_soma": previous_soma_for_record.detach().cpu().clone(),
"previous_abs_error": previous_error_for_record.detach().cpu().clone(),
"step": step_index,
})
soma = record["soma"]
previous_abs_error = record["abs_error"]
active = active & ~newly_successful
global_step += 1
return {
"success": success.detach().cpu(),
"success_rate": success.float().mean().item(),
"events": events,
"global_step": global_step,
}
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