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reinforcement-learning
policy-optimization
klpo
exact-moment-replay
score-centering
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f95cbd4 | 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 | """Recomputed first-order linear-head VJPs for centered policy scores.
Exact mode removes auxiliary sampling noise; sampled mode preserves the
selected estimator. Neither stores an [N,K,D] autograd activation. Both still
need an exact forward softmax normalizer. These are portable PyTorch kernels,
not fused CUDA, and produce dense parameter gradients. Higher-order AD is
intentionally unsupported. q, correction weights, and temperature are fixed.
"""
from dataclasses import dataclass
import math
import torch
from torch import Tensor
from torch.autograd.function import once_differentiable
from .estimators import canonical_q, Correction
from .losses import _prepare, _reduce
@dataclass
class CenteredScores:
centered_logits: Tensor
action_log_probs: Tensor # detached, only for coefficients
def _check(h,w,a,bias,chunk,temperature):
if h.ndim!=2 or w.ndim!=2 or h.shape[1]!=w.shape[1] or min(*h.shape,*w.shape)<1:
raise ValueError('nonempty hidden [N,D] and weight [V,D] required')
if not h.is_floating_point() or not w.is_floating_point():
raise ValueError('floating point model tensors required')
if a.shape!=(len(h),) or a.dtype!=torch.long:
raise ValueError('actions [N] must be int64')
if h.device!=w.device or a.device!=h.device or ((a<0)|(a>=len(w))).any():
raise ValueError('invalid actions/devices')
if bias is not None and (bias.shape!=(len(w),) or bias.device!=w.device or not bias.is_floating_point()):
raise ValueError('invalid bias')
if isinstance(chunk,bool) or not isinstance(chunk,int) or chunk<1:
raise ValueError('chunk size must be positive integer')
if not math.isfinite(temperature) or temperature<=0:
raise ValueError('temperature must be positive finite')
if not torch.isfinite(h).all() or not torch.isfinite(w).all() or (bias is not None and not torch.isfinite(bias).all()):
raise ValueError('nonfinite active model tensor')
class _Centered(torch.autograd.Function):
@staticmethod
def forward(ctx,h,w,a,bias,q,ids,coeff,chunk,rows,temperature,exact):
dtype=torch.float64 if any(x is not None and x.dtype==torch.float64 for x in (h,w,bias)) else torch.float32
ctx.dtype=dtype;ctx.chunk=chunk;ctx.rows=rows;ctx.temperature=temperature;ctx.exact=exact
ctx.has_bias=bias is not None
empty=torch.empty(0,device=h.device,dtype=dtype)
qsum=q.sum(-1,keepdim=True,dtype=torch.float64) if exact else empty
ctx.save_for_backward(h,w,a,bias if bias is not None else empty,q,ids,coeff,qsum)
with torch.autocast(device_type=h.device.type,enabled=False):
x=h.to(dtype)
za=(x*w[a].to(dtype)).sum(-1)
if bias is not None:za=za+bias[a].to(dtype)
za=za/temperature
normal=torch.full((len(h),),-torch.inf,device=h.device,dtype=dtype)
expected=torch.zeros_like(normal)
for start in range(0,len(w),chunk):
end=min(start+chunk,len(w))
z=x@w[start:end].to(dtype).T
if bias is not None:z=z+bias[start:end].to(dtype)
z=z/temperature
normal=torch.logaddexp(normal,torch.logsumexp(z,-1))
if exact:
qc=(q[:,start:end].double()/qsum).to(dtype)
expected=expected+(qc*z).sum(-1)
if exact:
centered=za-expected
else:
centered=torch.zeros_like(normal)
for start in range(0,len(h),rows):
end=min(start+rows,len(h));ii=ids[start:end]
z=(x[start:end,None,:]*w[ii].to(dtype)).sum(-1)
if bias is not None:z=z+bias[ii].to(dtype)
centered[start:end]=(z*coeff[start:end].to(dtype)).sum(-1)/temperature
lp=za-normal
if not torch.isfinite(centered).all() or not torch.isfinite(lp).all():
raise FloatingPointError('nonfinite centered linear scores')
ctx.mark_non_differentiable(lp)
return centered,lp
@staticmethod
@once_differentiable
def backward(ctx,gcenter,glogp):
h,w,a,bias,q,ids,coeff,qsum=ctx.saved_tensors
dtype=ctx.dtype;temp=ctx.temperature
if gcenter is None:gcenter=torch.zeros(len(h),device=h.device,dtype=dtype)
with torch.autocast(device_type=h.device.type,enabled=False):
x=h.to(dtype);g=gcenter.to(dtype)/temp
gh=torch.zeros_like(x) if ctx.needs_input_grad[0] else None
gw=torch.zeros(w.shape,device=w.device,dtype=dtype) if ctx.needs_input_grad[1] else None
gb=torch.zeros(len(w),device=w.device,dtype=dtype) if ctx.has_bias and ctx.needs_input_grad[3] else None
if ctx.exact:
for start in range(0,len(w),ctx.chunk):
end=min(start+ctx.chunk,len(w))
c=-(q[:,start:end].double()/qsum).to(dtype)
active=(a>=start)&(a<end)
rr=active.nonzero().flatten()
c[rr,a[rr]-start]+=1
c=c*g[:,None]
if gh is not None:gh.add_(c@w[start:end].to(dtype))
if gw is not None:gw[start:end]=c.T@x
if gb is not None:gb[start:end]=c.sum(0)
else:
for start in range(0,len(h),ctx.rows):
end=min(start+ctx.rows,len(h));ii=ids[start:end]
c=coeff[start:end].to(dtype)*g[start:end,None]
if gh is not None:gh[start:end]=(c[:,:,None]*w[ii].to(dtype)).sum(1)
if gw is not None:
contributions=(c[:,:,None]*x[start:end,None,:]).reshape(-1,w.shape[1])
gw.index_add_(0,ii.reshape(-1),contributions)
if gb is not None:gb.index_add_(0,ii.reshape(-1),c.reshape(-1))
return (None if gh is None else gh.to(h.dtype),None if gw is None else gw.to(w.dtype),None,
None if gb is None else gb.to(bias.dtype),None,None,None,None,None,None,None)
def centered_linear_scores(hidden: Tensor,weight: Tensor,actions: Tensor,*,q: Tensor | None=None,
ids: Tensor | None=None,coefficients: Tensor | None=None,
bias: Tensor | None=None,chunk_size: int=4096,row_chunk_size: int=64,
temperature: float=1.) -> CenteredScores:
"""Compute z(a)-E_q[z], or sum_j coefficients_j*z(ids_j).
Provide q for exact mode OR ids/coefficients for a sampled zero-sum
measure (typically one action weight +1 and auxiliary weights summing -1).
The action-normalization pass remains exact. No gradient is returned for
the fixed measure, sampler, IDs, temperature, or detached log probabilities.
"""
_check(hidden,weight,actions,bias,chunk_size,temperature)
if isinstance(row_chunk_size,bool) or not isinstance(row_chunk_size,int) or row_chunk_size<1:
raise ValueError('row_chunk_size must be positive integer')
exact=q is not None
empty=torch.empty(0,device=hidden.device)
if exact:
if ids is not None or coefficients is not None:raise ValueError('choose exact OR sampled measure')
if q.shape!=(len(hidden),len(weight)) or q.device!=hidden.device or not q.is_floating_point():
raise ValueError('q shape/device/type mismatch')
if not torch.isfinite(q).all() or (q<0).any() or not torch.allclose(q.double().sum(-1),torch.ones(len(hidden),device=q.device,dtype=torch.float64),atol=2e-6,rtol=0):
raise ValueError('invalid actual sampler probabilities')
q=q.detach();ids=empty.long();coefficients=empty
else:
if ids is None or coefficients is None or ids.ndim!=2 or ids.shape!=coefficients.shape or ids.shape[0]!=len(hidden) or ids.shape[1]<1:
raise ValueError('selected ids and coefficients [N,K] required')
if ids.dtype!=torch.long or not coefficients.is_floating_point() or ids.device!=hidden.device or coefficients.device!=hidden.device:
raise ValueError('invalid selected measure devices/types')
if ((ids<0)|(ids>=len(weight))).any() or not torch.isfinite(coefficients).all():
raise ValueError('invalid selected measure')
if (coefficients.double().sum(-1).abs()>2e-6).any():
raise ValueError('centered measure must have zero total mass')
q=empty;coefficients=coefficients.detach()
c,lp=_Centered.apply(hidden,weight,actions,bias,q,ids,coefficients,chunk_size,row_chunk_size,float(temperature),exact)
return CenteredScores(c,lp)
def linear_token_loss(hidden: Tensor,weight: Tensor,actions: Tensor,q: Tensor,mask: Tensor,
returns: Tensor,*,correction: Correction | None=None,bias: Tensor | None=None,
beta: float=.1,baseline: Tensor | None=None,outer_weights: Tensor | None=None,
normalizer: float | None=None,temperature: float=1.,chunk_size: int=4096,
row_chunk_size: int=64) -> tuple[Tensor,dict]:
"""Memory-bounded full or sampled token update with inherited normalization.
hidden [B,T,D], q [B,T,V]. None correction selects exact streaming.
Masked hidden/return entries are sanitized BEFORE any arithmetic.
"""
if hidden.ndim!=3 or actions.shape!=hidden.shape[:2] or q.shape!=(*hidden.shape[:2],len(weight)):
raise ValueError('hidden [B,T,D], actions [B,T], q [B,T,V] required')
if actions.dtype!=torch.long or mask.shape!=actions.shape or mask.dtype!=torch.bool or mask.device!=hidden.device:
raise ValueError('invalid actions/mask')
_,r=_prepare(hidden[...,0],mask,returns,beta)
h=hidden.masked_fill(~mask[...,None],0);a=actions.masked_fill(~mask,0)
if a.device!=h.device:raise ValueError('action device mismatch')
sampler=canonical_q(q,mask)
qa=sampler.gather(-1,a[...,None]).squeeze(-1)
if (qa[mask]<=0).any():raise ValueError('observed action absent from behavior support')
b,t,d=h.shape
opts={'bias':bias,'temperature':temperature,'chunk_size':chunk_size,'row_chunk_size':row_chunk_size}
if correction is None:
scores=centered_linear_scores(h.reshape(-1,d),weight,a.reshape(-1),q=sampler.reshape(b*t,-1),**opts)
route='exact_streaming'
else:
if not torch.equal(correction.mask,mask):raise ValueError('correction mask mismatch')
if not torch.isfinite(correction.weights).all() or (correction.weights<0).any():raise ValueError('invalid correction weights')
sums=correction.weights.sum(-1)
if not torch.allclose(sums[mask],torch.ones_like(sums[mask]),atol=2e-6,rtol=0):raise ValueError('correction mass mismatch')
ids=torch.cat((a[...,None],correction.ids),-1)
coeff=torch.cat((mask[...,None].to(correction.weights.dtype),-correction.weights),-1)
scores=centered_linear_scores(h.reshape(-1,d),weight,a.reshape(-1),ids=ids.reshape(b*t,-1),coefficients=coeff.reshape(b*t,-1),**opts)
route='sampled_recomputed'
lp=scores.action_log_probs.reshape(b,t).masked_fill(~mask,0)
lq=qa.log().masked_fill(~mask,0)
coefficient=r-beta*(lp-lq)
if baseline is not None:
if baseline.shape!=(b,t) or baseline.device!=h.device:raise ValueError('baseline [B,T] required')
base=baseline.detach().masked_fill(~mask,0)
if not torch.isfinite(base).all():raise ValueError('nonfinite active baseline')
coefficient=coefficient-base
coefficient=coefficient.detach().masked_fill(~mask,0)
per=-(coefficient*scores.centered_logits.reshape(b,t)).sum(-1)
loss=_reduce(per,outer_weights,normalizer)
if not torch.isfinite(loss):raise FloatingPointError('nonfinite linear loss')
return loss,{'route':route,'coefficient':coefficient,'per_response_surrogate':per.detach()}
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