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One cycle of self-speculative decoding:
1. Drafting. The last committed token (not yet cached) and then each draft
token climb the layers; at every head allowed by the policy we ask the
policy whether to exit. An exit yields a draft token from that head; the
K/V of the deeper drafting layers are filled from the exit hidden state
(CALM-style copy) so later draft tokens can attend to it. A token with no
exit, the draft budget, or a drafted EOS ends the draft.
2. Verification. Every row of the cycle has passed through layer c_min (the
shallowest exit the policy can use) with exact inputs, so its hidden state
there is exact. One pass runs layers [c_min, L) over all rows, overwriting
the approximate K/V, and yields the full-model distribution at each row.
3. Acceptance. Standard speculative sampling (Leviathan et al. 2023): accept
draft x with prob min(1, p(x)/q(x)), else resample from norm(max(p-q, 0));
if all drafts are accepted, sample a bonus token from the last row. At T=0
this is exact argmax matching. The output law (greedy: the output) equals
the full model's.
Cache invariant between cycles: positions [0, len(seq)-1) are exact in every
layer; the last committed token is processed at the next cycle.
"""
from __future__ import annotations
import bisect
import time
from dataclasses import dataclass, field
import torch
import torch.nn.functional as F
from .heads import ExitHead, entropy, head_draft_distribution
from .layered import LayeredDecoder
# ---------------------------------------------------------------------- policies
class ExitPolicy:
"""Which heads may be tried, in which order, and when to exit."""
head_order: list[int] # indices into `heads`, shallow to deep
max_draft: int
def exit(self, k: int, logits: torch.Tensor, n_drafted: int) -> bool:
raise NotImplementedError
def decide(self, k: int, conf: float, n_drafted: int) -> bool:
"""Exit decision from the head confidence (graph engine)."""
raise NotImplementedError
class StaticPolicy(ExitPolicy):
"""Always exit at head k; draft exactly `length` tokens (LayerSkip-like)."""
def __init__(self, k: int, length: int):
self.head_order = [k]
self.max_draft = length
def exit(self, k, logits, n_drafted):
return True
def decide(self, k, conf, n_drafted):
return True
class ThresholdPolicy(ExitPolicy):
"""Exit at the first head (in `head_order`) whose score passes its threshold.
score: "maxprob" (max over V_k ∪ ⊥, 0 if ⊥ wins), "neg_entropy", or
"one_minus_reject". With a single head this is the Kangaroo rule; with all
heads it is DSSD.
"""
def __init__(self, heads: list[ExitHead], thresholds: dict[int, float],
max_draft: int = 32, score: str = "maxprob", cum_gamma: float = 0.0,
acc_maps: dict | None = None):
self.heads = heads
# Optional per-head calibrated acceptance a_hat_k(conf) (isotonic, piecewise linear
# knots/values): thresholds and the cumulative product then apply to a_hat.
self.acc_maps = {int(k): (list(v[0]), list(v[1])) for k, v in (acc_maps or {}).items()}
self.thresholds = thresholds
self.head_order = sorted(thresholds)
self.max_draft = max_draft
self.score = score
# Cumulative stop (g): a draft token is only emitted while the product of the
# exit confidences of the block stays >= cum_gamma (proxy for the probability
# that the whole block survives verification, cf. SpecDec++).
self.cum_gamma = cum_gamma
self._cum = 1.0
def start_block(self) -> None:
self._cum = 1.0
def _cum_ok(self, conf: float, k: int | None = None) -> bool:
# cum_gamma: a scalar, or a per-head dict {k: gamma_k} (F7 option B: the exit test
# at head k is cum * a_hat_k >= gamma_k)
g = self.cum_gamma.get(k, 0.0) if isinstance(self.cum_gamma, dict) else self.cum_gamma
if g <= 0.0:
self._cum *= conf
return True
if self._cum * conf < g:
return False
self._cum *= conf
return True
def exit(self, k, logits, n_drafted):
head = self.heads[k]
if self.score == "maxprob":
_, _, s = head_draft_distribution(logits, head.reject, 1.0)
elif self.score == "neg_entropy":
s = -entropy(logits)
if head.reject and int(logits.argmax(-1)) == logits.shape[-1] - 1:
return False
elif self.score == "one_minus_reject":
_, p_rej, s = head_draft_distribution(logits, head.reject, 1.0)
s = 1.0 - p_rej
else:
raise ValueError(self.score)
return float(s) >= self.thresholds[k] and self._cum_ok(float(s), k)
def _ahat(self, k, conf):
if k not in self.acc_maps:
return conf
xs, ys = self.acc_maps[k]
if conf <= xs[0]:
return ys[0]
if conf >= xs[-1]:
return ys[-1]
j = bisect.bisect_right(xs, conf)
x0, x1, y0, y1 = xs[j - 1], xs[j], ys[j - 1], ys[j]
return y0 + (y1 - y0) * (conf - x0) / (x1 - x0 if x1 > x0 else 1.0)
def decide(self, k, conf, n_drafted):
if conf <= 0.0 and self.heads[k].reject: # ⊥ won: never draft (T4: gamma_k > a_hat(⊥))
return False
a = self._ahat(k, conf)
return a >= self.thresholds[k] and self._cum_ok(a, k)
class ScriptedPolicy(ExitPolicy):
"""Testing: draft token i exits at head schedule[i % len] (None = no exit)."""
def __init__(self, n_heads: int, schedule: list, max_draft: int = 15):
self.head_order = list(range(n_heads))
self.schedule = schedule
self.max_draft = max_draft
def _want(self, n_drafted):
return self.schedule[n_drafted % len(self.schedule)]
def exit(self, k, logits, n_drafted):
return self._want(n_drafted) == k
def decide(self, k, conf, n_drafted):
return self._want(n_drafted) == k
class AdaptiveThresholdPolicy(ThresholdPolicy):
"""Single head, threshold adapted online toward a target acceptance rate
(Draft & Verify / AdaEDL style): after each cycle, raise the threshold if the
cycle's acceptance fell below `target`, lower it otherwise."""
def __init__(self, heads, k: int, gamma0: float, target: float, step: float = 0.01,
max_draft: int = 15):
super().__init__(heads, {k: gamma0}, max_draft=max_draft, score="maxprob")
self.k, self.target, self.step = k, target, step
def update(self, n_drafted: int, n_accepted: int) -> None:
if n_drafted == 0:
return
g = self.thresholds[self.k] + (self.step if n_accepted / n_drafted < self.target else -self.step)
self.thresholds[self.k] = min(0.999, max(0.0, g))
# ---------------------------------------------------------------------- stats
@dataclass
class GenStats:
new_tokens: int = 0
cycles: int = 0 # full-model passes after prefill
drafted: int = 0
accepted: int = 0
empty_drafts: int = 0 # cycles whose draft had length 0 (fallback)
rejected_cycles: int = 0 # cycles ended by a rejected draft
ar_steps: int = 0 # online control: plain AR steps (lambda > 1, no probe)
lam_start: float = float("nan") # online control: lambda at the start / end of the request
lam_end: float = float("nan")
gamma_start: float = float("nan") # cost safety (NoSlowdown): gamma at the start / end
gamma_end: float = float("nan")
ar_step_median: float = float("nan") # AR runs: median per-token step time
lab_n: int = 0 # online control: labels sent to the controller (and their sum)
lab_s: float = 0.0
n_jumps: int = -1 # online control: re-anchoring jumps of the ACI (cumulative)
pld_drafted: int = 0 # prompt lookup: copied drafts / accepted copied drafts
pld_accepted: int = 0
cost_units: float = 0.0 # online control: sum of cycle costs (1 = one AR step)
h_max: float = float("-inf") # max over drafting cycles of cost - (1 + xi) * emitted
excess_end: float = 0.0 # sum over the request of cost - (1 + xi) * emitted
excess_max: float = float("-inf") # running maximum of that sum within the request
exits: dict = field(default_factory=dict) # head index -> count
sources: list = field(default_factory=list) # per output token: copy/head/star/draft/model
head_evals: int = 0
layer_rows: int = 0
kv_fill_rows: int = 0
vocab_proj_rows: int = 0
seconds: float = 0.0
prefill_seconds: float = 0.0
@property
def tau(self) -> float:
"""Tokens committed per full-model pass (incl. correction/bonus)."""
return self.new_tokens / max(self.cycles, 1)
def as_dict(self) -> dict:
d = dict(self.__dict__)
d.pop("sources") # per-token list: kept out of the bench jsonl
d["tau"] = self.tau
d["acceptance"] = self.accepted / max(self.drafted, 1)
# drafts emitted on the output prefix = accepted + one rejected per rejecting cycle
d["acceptance_prefix"] = self.accepted / max(self.accepted + self.rejected_cycles, 1)
d["tokens_per_s"] = self.new_tokens / max(self.seconds, 1e-9)
return d
def _sync(device) -> None:
if device.type == "cuda":
torch.cuda.synchronize(device)
def _sample(probs: torch.Tensor, gen: torch.Generator | None) -> int:
return int(torch.multinomial(probs, 1, generator=gen))
def _target_token(logits: torch.Tensor, temperature: float, gen) -> int:
if temperature == 0.0:
return int(logits.argmax())
return _sample(F.softmax(logits / temperature, dim=-1), gen)
# ---------------------------------------------------------------------- decoders
@torch.no_grad()
def generate_ar(dec: LayeredDecoder, prompt: list[int], max_new: int,
temperature: float = 0.0, eos_ids: set[int] | None = None,
gen: torch.Generator | None = None) -> tuple[list[int], GenStats]:
eos_ids = eos_ids or set()
st = GenStats()
dec.reset_counters()
ids = torch.tensor(prompt, device=dec.device)
_sync(dec.device)
t0 = time.perf_counter()
logits = dec.prefill(ids)
_sync(dec.device)
st.prefill_seconds = time.perf_counter() - t0
out = [_target_token(logits, temperature, gen)]
t1 = time.perf_counter()
while len(out) < max_new and out[-1] not in eos_ids:
pos = len(prompt) + len(out) - 1
logits = dec.full_step(torch.tensor([out[-1]], device=dec.device), pos)[0]
out.append(_target_token(logits, temperature, gen))
st.cycles += 1
_sync(dec.device)
st.seconds = time.perf_counter() - t1 + st.prefill_seconds
st.new_tokens = len(out)
st.layer_rows = dec.counters["layer_rows"]
st.vocab_proj_rows = dec.counters["vocab_proj_rows"]
return out, st
@torch.no_grad()
def generate_spec(dec: LayeredDecoder, heads: list[ExitHead], head_layers: list[int],
policy: ExitPolicy, prompt: list[int], max_new: int,
temperature: float = 0.0, eos_ids: set[int] | None = None,
gen: torch.Generator | None = None,
kv_fill: str = "lazy", trace: list | None = None) -> tuple[list[int], GenStats]:
"""Self-speculative decoding; head k reads the hidden state after head_layers[k] layers.
kv_fill:
"lazy" regime A (reference): before a draft row climbs past the depth of
earlier rows of the block, those rows are caught up exactly (batched),
so every head score depends only on the exact prefix. Verification
then runs only layers [c_max, L).
"copy" regime B: CALM state copy of the K/V of skipped drafting layers;
verification runs [c_min, L).
"recompute" regime B variant: run the skipped drafting layers for exited tokens.
trace: if a list, receives (position, head, logits) for every head evaluation.
"""
eos_ids = eos_ids or set()
st = GenStats()
dec.reset_counters()
L = dec.spec.num_layers
order = policy.head_order
c_min = head_layers[order[0]]
c_max = head_layers[order[-1]]
ids = torch.tensor(prompt, device=dec.device)
_sync(dec.device)
t0 = time.perf_counter()
logits = dec.prefill(ids)
_sync(dec.device)
st.prefill_seconds = time.perf_counter() - t0
out = [_target_token(logits, temperature, gen)]
t1 = time.perf_counter()
while len(out) < max_new and out[-1] not in eos_ids:
pos0 = len(prompt) + len(out) - 1
inputs = [out[-1]]
h_min: list[torch.Tensor] = [] # hidden after c_min layers, per row
drafts: list[int] = []
q_rows: list[torch.Tensor | None] = []
budget = min(policy.max_draft, max_new - len(out))
if hasattr(policy, "start_block"):
policy.start_block()
if kv_fill == "lazy":
drafts, q_rows, H, verify_from = _draft_lazy(
dec, heads, head_layers, policy, out[-1], pos0, budget, temperature, gen,
eos_ids, st, trace, context=(prompt + out[:-1]) if trace is not None else None)
inputs = [out[-1]] + drafts
H = dec.run_layers(H, pos0, verify_from, L)
target = dec.final_logits(H)
st.cycles += 1
st.drafted += len(drafts)
if not drafts:
st.empty_drafts += 1
n_acc, committed = _accept(drafts, q_rows, target, temperature, gen)
st.accepted += n_acc
for t in committed:
out.append(t)
if t in eos_ids or len(out) >= max_new:
break
continue
# ---------------- drafting (regime B)
while True:
j = len(inputs) - 1
if len(drafts) >= budget or (drafts and drafts[-1] in eos_ids):
break # last input is processed by the verification pass
pos = pos0 + j
h = dec.run_layers(dec.embed(torch.tensor([inputs[j]], device=dec.device)),
pos, 0, c_min)
h_min.append(h)
depth = c_min
exited = None
for k in order:
if head_layers[k] > depth:
h = dec.run_layers(h, pos, depth, head_layers[k])
depth = head_layers[k]
logits_k = heads[k](h)[0]
st.head_evals += 1
if trace is not None:
trace.append((pos, k, logits_k.detach().clone()))
if policy.exit(k, logits_k, len(drafts)):
exited = k
break
if exited is None:
break
head = heads[exited]
q_k, _, _ = head_draft_distribution(logits_k, head.reject, temperature)
if temperature == 0.0:
tok_local = int(q_k.argmax())
q_full = None
else:
tok_local = _sample(q_k, gen)
q_full = head.scatter_full(q_k)
tok = int(head.to_token_ids(torch.tensor(tok_local, device=dec.device)))
if depth < c_max:
if kv_fill == "copy":
dec.fill_kv_from_hidden(h, pos, depth, c_max)
elif kv_fill == "recompute":
dec.run_layers(h, pos, depth, c_max)
else:
raise ValueError(kv_fill)
st.exits[exited] = st.exits.get(exited, 0) + 1
drafts.append(tok)
q_rows.append(q_full)
inputs.append(tok)
# ---------------- verification (one full-model pass)
if len(h_min) < len(inputs): # last draft token never entered the stack
j = len(inputs) - 1
h_min.append(dec.run_layers(
dec.embed(torch.tensor([inputs[j]], device=dec.device)), pos0 + j, 0, c_min))
H = torch.cat(h_min, dim=0)
H = dec.run_layers(H, pos0, c_min, L)
target = dec.final_logits(H) # (len(inputs), V)
st.cycles += 1
st.drafted += len(drafts)
if not drafts:
st.empty_drafts += 1
# ---------------- acceptance
n_acc, committed = _accept(drafts, q_rows, target, temperature, gen)
st.accepted += n_acc
for t in committed:
out.append(t)
if t in eos_ids or len(out) >= max_new:
break
_sync(dec.device)
st.seconds = time.perf_counter() - t1 + st.prefill_seconds
st.new_tokens = len(out)
st.layer_rows = dec.counters["layer_rows"]
st.kv_fill_rows = dec.counters["kv_fill_rows"]
st.vocab_proj_rows = dec.counters["vocab_proj_rows"]
return out, st
def _accept(drafts, q_rows, target, temperature, gen):
"""Speculative acceptance (Leviathan et al.): returns (#accepted, committed tokens)."""
committed: list[int] = []
for i, d in enumerate(drafts):
if temperature == 0.0:
if int(target[i].argmax()) != d:
committed.append(int(target[i].argmax()))
return len(committed) - 1, committed
else:
p = F.softmax(target[i] / temperature, dim=-1)
q = q_rows[i]
ratio = (p[d] / q[d].clamp_min(1e-20)).clamp(max=1.0)
u = torch.rand((), device=p.device, generator=gen)
if not bool(u < ratio):
resid = (p - q).clamp_min(0.0)
z = resid.sum()
committed.append(_sample(resid / z if z > 0 else p, gen))
return len(committed) - 1, committed
committed.append(d)
n_acc = len(committed)
committed.append(_target_token(target[len(drafts)], temperature, gen))
return n_acc, committed
def _draft_lazy(dec, heads, head_layers, policy, first_token, pos0, budget, temperature, gen,
eos_ids, st, trace, context=None):
"""Regime-A drafting. Returns (drafts, q_rows, hidden rows at c_max, c_max).
With `trace`, records (position, head, logits, exact input context) per head evaluation.
"""
order = policy.head_order
c_min, c_max = head_layers[order[0]], head_layers[order[-1]]
rows: list[dict] = [] # {"pos", "h", "depth"} for every input row of the block
def advance(target: int) -> None:
while True:
lag = [r for r in rows if r["depth"] < target]
if not lag:
return
u = min(r["depth"] for r in lag)
v = min([r["depth"] for r in lag if r["depth"] > u] + [target])
batch = [r for r in lag if r["depth"] == u]
out = dec.run_layers(torch.cat([r["h"] for r in batch]), 0, u, v,
positions=[r["pos"] for r in batch])
for i, r in enumerate(batch):
r["h"], r["depth"] = out[i:i + 1], v
def new_row(tok: int, pos: int) -> dict:
r = {"pos": pos, "h": dec.embed(torch.tensor([tok], device=dec.device)), "depth": 0}
rows.append(r)
return r
drafts: list[int] = []
q_rows: list = []
tok = first_token
while True:
row = new_row(tok, pos0 + len(drafts))
if len(drafts) >= budget or (drafts and drafts[-1] in eos_ids):
break # trailing row: only verified
exited = None
for k in order:
advance(head_layers[k])
logits_k = heads[k](row["h"])[0]
st.head_evals += 1
if trace is not None:
ctx = context + [first_token] + drafts
trace.append((row["pos"], k, logits_k.detach().clone(), ctx))
if policy.exit(k, logits_k, len(drafts)):
exited = k
break
if exited is None:
break
head = heads[exited]
q_k, _, _ = head_draft_distribution(logits_k, head.reject, temperature)
if temperature == 0.0:
tok_local, q_full = int(q_k.argmax()), None
else:
tok_local = _sample(q_k, gen)
q_full = head.scatter_full(q_k)
tok = int(head.to_token_ids(torch.tensor(tok_local, device=dec.device)))
st.exits[exited] = st.exits.get(exited, 0) + 1
drafts.append(tok)
q_rows.append(q_full)
if hasattr(policy, "update_draft"):
policy.update_draft()
advance(c_max)
return drafts, q_rows, torch.cat([r["h"] for r in rows]), c_max
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