Text Classification
Transformers
Safetensors
Thai
English
openthai_systemone
feature-extraction
system-one
decision-model
thai
qwen3.5
quantized
compressed-tensors
llm-compressor
custom_code
Instructions to use iapp/OpenThai-SystemOne-FP8-Dynamic with libraries, inference providers, notebooks, and local apps. Follow these links to get started.
- Libraries
- Transformers
How to use iapp/OpenThai-SystemOne-FP8-Dynamic with Transformers:
# Use a pipeline as a high-level helper from transformers import pipeline pipe = pipeline("text-classification", model="iapp/OpenThai-SystemOne-FP8-Dynamic", trust_remote_code=True)# Load model directly from transformers import AutoModel model = AutoModel.from_pretrained("iapp/OpenThai-SystemOne-FP8-Dynamic", trust_remote_code=True, device_map="auto") - Notebooks
- Google Colab
- Kaggle
File size: 25,355 Bytes
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text tower (Qwen3.5-0.8B, LM head removed) -> hidden state at every <|ts_answer|> -> SlotHead (256 logits)
mask slots >= k -> softmax -> probabilities over the k options
-Vision variant: the tower is the multimodal Qwen3.5 model (ViT + merger + the same text tower). Images enter as
runs of <|image_pad|> tokens; `point` questions are read out by the PointHead, which attends from the <|ts_answer|>
hidden state over the LLM's final hidden states of that image's visual tokens (GUI-Actor recipe) plus a learned
"null" key for "not on the image". With no pixel_values the forward path is identical to the text-only model.
"""
from __future__ import annotations
import math
from dataclasses import dataclass
from typing import Optional
import torch
import torch.nn as nn
import torch.nn.functional as F
from transformers import AutoModel, AutoModelForCausalLM, AutoTokenizer, PreTrainedModel
from transformers.utils import ModelOutput
from .configuration import OpenThaiSystemOneConfig
from .formatting import SPECIAL_TOKENS, TOK_ANSWER, TOK_POINT, QWEN_IMAGE_PAD, QWEN_VISION_END, QWEN_VISION_START, add_special_tokens
QTYPE_INDEX = {"choice": 0, "score": 1, "noul": 2, "point": 3}
@dataclass
class DecisionOutput(ModelOutput):
loss: Optional[torch.Tensor] = None
logits: Optional[torch.Tensor] = None # (B, Q, n_slots), masked with -inf
probs: Optional[torch.Tensor] = None # (B, Q, n_slots)
hidden_states: Optional[torch.Tensor] = None # (B, Q, H) at answer positions
point_logits: Optional[torch.Tensor] = None # (B, Q, L+1): per visual token of the referenced image + null; -inf elsewhere
point_probs: Optional[torch.Tensor] = None
slot_loss: Optional[torch.Tensor] = None
point_loss: Optional[torch.Tensor] = None
class PointHead(nn.Module):
"""Attention readout over one image's visual tokens (final-layer LLM states).
q = MLP_T(h_answer), k_i = MLP_V(SA(v_i)), logits_i = q.k_i / sqrt(d) / T ; extra null key = "not on the image".
"""
def __init__(self, hidden: int, dim: int = 256, n_sa_layers: int = 1, n_heads: int = 8):
super().__init__()
self.sa = nn.ModuleList(
[nn.TransformerEncoderLayer(hidden, n_heads, dim_feedforward=2 * hidden, dropout=0.0, batch_first=True, norm_first=True) for _ in range(n_sa_layers)]
)
self.q_proj = nn.Sequential(nn.Linear(hidden, dim), nn.GELU(), nn.Linear(dim, dim))
self.k_proj = nn.Sequential(nn.Linear(hidden, dim), nn.GELU(), nn.Linear(dim, dim))
self.null_key = nn.Parameter(torch.zeros(dim))
self.log_temperature = nn.Parameter(torch.zeros(()))
self.dim = dim
def forward(self, h_answer: torch.Tensor, visual: torch.Tensor, visual_mask: torch.Tensor) -> torch.Tensor:
"""h_answer (N, H); visual (N, L, H) right-padded; visual_mask (N, L) True = real token. Returns (N, L+1) logits."""
x = visual
for layer in self.sa:
x = layer(x, src_key_padding_mask=~visual_mask)
k = self.k_proj(x) # (N, L, d)
q = self.q_proj(h_answer) # (N, d)
logits = torch.einsum("nd,nld->nl", q, k) / math.sqrt(self.dim)
null = (q @ self.null_key)[:, None] / math.sqrt(self.dim)
logits = torch.cat([logits, null], dim=1) / self.log_temperature.exp()
pad = torch.cat([~visual_mask, torch.zeros_like(visual_mask[:, :1])], dim=1)
return logits.masked_fill(pad, float("-inf"))
class OpenThaiSystemOneForDecision(PreTrainedModel):
config_class = OpenThaiSystemOneConfig
base_model_prefix = "model"
supports_gradient_checkpointing = True
_supports_flash_attn = True
_supports_sdpa = True
def __init__(self, config: OpenThaiSystemOneConfig):
super().__init__(config)
# Parameter layout is the SAME as the text-only line for everything they share: text tower `model.*`,
# `slot_head.*`, 3 `log_temperature`s. The vision parts sit beside it (`visual.*`, `point_head.*`), so a
# text-only v0.x client loading a -Vision checkpoint finds every weight it knows and ignores the rest.
self.model = AutoModel.from_config(config.text_config)
if config.is_vision:
self.visual = AutoModel.from_config(config.vision_config)
enable_vision_helper_caches()
ph = dict(config.point_head or {})
self.point_head = PointHead(config.hidden_size, ph.get("dim", 256), ph.get("n_sa_layers", 1), ph.get("n_heads", 8))
else:
self.visual = None
self.point_head = None
self.slot_head = nn.Linear(config.hidden_size, config.n_slots, bias=config.head_bias)
# log-temperatures per question type (choice/score/noul[/point]); learned in the calibration stage
self.log_temperature = nn.Parameter(torch.zeros(config.n_temperatures))
self.post_init()
@property
def language_model(self):
return self.model
def encode(self, input_ids, attention_mask=None, pixel_values=None, image_grid_thw=None, position_ids=None, **kwargs):
"""Final hidden states. With images: ViT -> merger -> splice into the <|image_pad|> positions, 3-D (t,h,w) position
ids (computed here when not given), then the text tower. Without images: the plain text-tower forward."""
if pixel_values is None:
return self.model(input_ids=input_ids, attention_mask=attention_mask, position_ids=position_ids, **kwargs).last_hidden_state
if self.visual is None:
raise ValueError("this checkpoint is text-only; images need OpenThai-SystemOne-Vision")
_VISION_TARGET_DEVICE[0] = pixel_values.device
embeds = self.model.get_input_embeddings()(input_ids)
img = self.visual(pixel_values.to(self.visual.dtype), grid_thw=image_grid_thw).pooler_output
mask = (input_ids == self.config.image_token_id).unsqueeze(-1)
if int(mask.sum()) != img.shape[0]:
raise ValueError(f"image tokens ({int(mask.sum())}) != image features ({img.shape[0]})")
embeds = embeds.masked_scatter(mask.to(embeds.device), img.to(embeds.device, embeds.dtype))
if position_ids is None:
position_ids = mrope_positions_from_ids(input_ids, attention_mask, image_grid_thw, self.config.image_token_id,
int(getattr(self.config.vision_config, "spatial_merge_size", 2)))
return self.model(inputs_embeds=embeds, attention_mask=attention_mask, position_ids=position_ids.to(embeds.device), **kwargs).last_hidden_state
def get_input_embeddings(self):
return self.language_model.get_input_embeddings()
def set_input_embeddings(self, value):
self.language_model.set_input_embeddings(value)
# ------------------------------------------------------------------ construction
@classmethod
def from_causal_lm(
cls,
path: str,
*,
tokenizer=None,
n_slots: int = 256,
torch_dtype=torch.bfloat16,
**kwargs,
):
"""Build a text-only decision model from a (text-only) causal-LM checkpoint: drop lm_head, add tokens + head."""
tok = tokenizer or AutoTokenizer.from_pretrained(path)
added = add_special_tokens(tok)
lm = AutoModelForCausalLM.from_pretrained(path, dtype=torch_dtype, **kwargs)
base = lm.model if hasattr(lm, "model") else lm.base_model
text_cfg = base.config
if added:
lm.resize_token_embeddings(len(tok), mean_resizing=False)
text_cfg.vocab_size = lm.get_input_embeddings().weight.shape[0]
_init_new_token_embeddings(lm.get_input_embeddings().weight, tok, added)
cfg = OpenThaiSystemOneConfig(
text_config=text_cfg,
n_slots=n_slots,
answer_token_id=tok.convert_tokens_to_ids(TOK_ANSWER),
pad_token_id=tok.pad_token_id,
)
cfg.text_config.tie_word_embeddings = False # there is no LM head any more
model = cls(cfg).to(torch_dtype)
missing, unexpected = model.model.load_state_dict(base.state_dict(), strict=False)
assert not unexpected, unexpected
_init_slot_head(model.slot_head)
model.model.config = cfg.text_config
return model, tok
@classmethod
def from_text_decision_model(
cls,
text_path: str,
vision_source: str,
*,
tokenizer=None,
point_head: Optional[dict] = None,
torch_dtype=torch.bfloat16,
):
"""Build the -Vision model: text tower + slot head from a text-only decision checkpoint (e.g. v0.3), the ViT +
merger from a Qwen3.5 multimodal checkpoint (base/Qwen3.5-0.8B-Base), a fresh PointHead, and the two extra
control tokens. Text-only forward of the result equals the source model."""
import glob
import json
import os
from safetensors import safe_open
from transformers import AutoConfig
text_model = cls.from_pretrained(text_path, dtype=torch_dtype)
assert not text_model.config.is_vision, "source must be the text-only model"
tok = tokenizer or AutoTokenizer.from_pretrained(text_path)
added = add_special_tokens(tok, vision=True)
src_cfg = AutoConfig.from_pretrained(vision_source)
vcfg = src_cfg.vision_config
vcfg.out_hidden_size = text_model.config.hidden_size
cfg = OpenThaiSystemOneConfig(
text_config=text_model.config.text_config,
n_slots=text_model.config.n_slots,
abstain_slot=text_model.config.abstain_slot,
answer_token_id=text_model.config.answer_token_id,
head_bias=text_model.config.head_bias,
n_temperatures=text_model.config.n_temperatures,
vision_config=vcfg,
image_token_id=tok.convert_tokens_to_ids(QWEN_IMAGE_PAD),
vision_start_token_id=tok.convert_tokens_to_ids(QWEN_VISION_START),
vision_end_token_id=tok.convert_tokens_to_ids(QWEN_VISION_END),
point_token_id=tok.convert_tokens_to_ids(TOK_POINT),
point_head=point_head or {"dim": 256, "n_sa_layers": 1, "n_heads": 8},
pad_token_id=tok.pad_token_id,
)
cfg.text_config.vocab_size = len(tok)
model = cls(cfg).to(torch_dtype)
# text tower + heads
old_vocab = text_model.get_input_embeddings().weight.shape[0]
if len(tok) > old_vocab:
text_model.model.resize_token_embeddings(len(tok), mean_resizing=False)
_init_new_token_embeddings(text_model.get_input_embeddings().weight, tok, len(tok) - old_vocab)
missing, unexpected = model.model.load_state_dict(text_model.model.state_dict(), strict=False)
assert not unexpected and not missing, (missing, unexpected)
model.slot_head.load_state_dict(text_model.slot_head.state_dict())
with torch.no_grad():
n = min(text_model.log_temperature.numel(), model.log_temperature.numel())
model.log_temperature[:n] = text_model.log_temperature[:n]
# vision tower from the multimodal checkpoint
files = sorted(glob.glob(os.path.join(vision_source, "*.safetensors")))
sd = {}
for f in files:
with safe_open(f, "pt") as fh:
for k in fh.keys():
for prefix in ("model.visual.", "visual."):
if k.startswith(prefix):
sd[k[len(prefix):]] = fh.get_tensor(k)
break
missing, unexpected = model.visual.load_state_dict({k: v.to(torch_dtype) for k, v in sd.items()}, strict=False)
assert not unexpected and not missing, (missing, unexpected)
model.model.config = cfg.text_config
return model, tok
# ------------------------------------------------------------------ forward
def gather_answer_states(self, hidden: torch.Tensor, answer_positions: torch.Tensor) -> torch.Tensor:
idx = answer_positions.clamp(min=0).unsqueeze(-1).expand(-1, -1, hidden.shape[-1])
return torch.gather(hidden, 1, idx) # (B, Q, H)
def slot_logits(
self,
answer_hidden: torch.Tensor,
option_counts: torch.Tensor,
*,
include_abstain: bool = True,
qtypes: Optional[torch.Tensor] = None,
apply_temperature: bool = True,
) -> torch.Tensor:
logits = self.slot_head(answer_hidden.to(self.slot_head.weight.dtype)).float()
if apply_temperature:
if qtypes is None:
t = self.log_temperature[0].exp()
else:
t = self.log_temperature.exp()[qtypes.clamp(min=0, max=self.log_temperature.numel() - 1)] # (B, Q)
t = t.unsqueeze(-1)
logits = logits / t
ar = torch.arange(logits.shape[-1], device=logits.device)
valid = ar[None, None, :] < option_counts.unsqueeze(-1)
if include_abstain:
valid = valid.clone()
valid[..., self.config.abstain_slot] = True
# questions that are padding or point questions (option_counts == 0) keep slot 0 valid to avoid NaNs
valid[..., 0] |= option_counts.unsqueeze(-1).squeeze(-1) == 0
return logits.masked_fill(~valid, float("-inf"))
def point_logits(
self,
hidden: torch.Tensor,
answer_hidden: torch.Tensor,
image_spans: torch.Tensor,
point_image_index: torch.Tensor,
*,
max_tokens: Optional[int] = None,
) -> Optional[torch.Tensor]:
"""(B, Q, L+1) logits for point questions (-inf rows elsewhere)."""
B, Q = point_image_index.shape
sel = (point_image_index >= 0).nonzero(as_tuple=False)
L = max_tokens or int((image_spans[..., 1] - image_spans[..., 0]).clamp(min=0).max().item())
out = torch.full((B, Q, L + 1), float("-inf"), device=hidden.device)
if sel.numel() == 0:
return out
n = sel.shape[0]
vis = hidden.new_zeros((n, L, hidden.shape[-1]))
mask = torch.zeros((n, L), dtype=torch.bool, device=hidden.device)
for r, (b, q) in enumerate(sel.tolist()):
s0, e0 = image_spans[b, point_image_index[b, q]].tolist()
vis[r, : e0 - s0] = hidden[b, s0:e0]
mask[r, : e0 - s0] = True
h = answer_hidden[sel[:, 0], sel[:, 1]]
pl = self.point_head(h.to(vis.dtype), vis, mask).float()
out[sel[:, 0], sel[:, 1]] = pl
return out
def forward(
self,
input_ids: torch.Tensor,
attention_mask: Optional[torch.Tensor] = None,
answer_positions: Optional[torch.Tensor] = None,
option_counts: Optional[torch.Tensor] = None,
labels: Optional[torch.Tensor] = None,
soft_labels: Optional[torch.Tensor] = None,
qtypes: Optional[torch.Tensor] = None,
include_abstain: bool = True,
label_smoothing: float = 0.0,
brier_weight: float = 0.0,
apply_temperature: bool = True,
pixel_values: Optional[torch.Tensor] = None,
image_grid_thw: Optional[torch.Tensor] = None,
mm_token_type_ids: Optional[torch.Tensor] = None,
image_spans: Optional[torch.Tensor] = None,
point_image_index: Optional[torch.Tensor] = None,
point_targets: Optional[torch.Tensor] = None,
point_has_target: Optional[torch.Tensor] = None,
point_loss_weight: float = 1.0,
position_ids: Optional[torch.Tensor] = None,
**kwargs,
) -> DecisionOutput:
# position_ids (3, B, T) from formatting.mrope_position_ids avoid recomputing them; image_grid_thw may stay on the CPU
hidden = self.encode(input_ids, attention_mask=attention_mask, pixel_values=pixel_values, image_grid_thw=image_grid_thw,
position_ids=position_ids if pixel_values is not None else None, **kwargs)
if answer_positions is None:
answer_positions = (input_ids == self.config.answer_token_id).nonzero()[:, 1].unsqueeze(0)
if option_counts is None:
raise ValueError("option_counts required")
h = self.gather_answer_states(hidden, answer_positions)
logits = self.slot_logits(h, option_counts, include_abstain=include_abstain, qtypes=qtypes, apply_temperature=apply_temperature)
probs = logits.softmax(-1)
p_logits = p_probs = None
if self.point_head is not None and point_image_index is not None and (point_image_index >= 0).any():
p_logits = self.point_logits(hidden, h, image_spans, point_image_index,
max_tokens=(point_targets.shape[-1] - 1) if point_targets is not None else None)
p_probs = p_logits.softmax(-1)
p_probs = p_probs.masked_fill(torch.isinf(p_logits).all(-1, keepdim=True), 0.0)
loss = slot_loss = point_loss = None
if labels is not None or soft_labels is not None:
logp = logits.log_softmax(-1)
if soft_labels is not None:
valid = (option_counts > 0)
tgt = soft_labels.float()
nll = -(tgt * logp.masked_fill(torch.isinf(logp), 0.0)).sum(-1)
slot_loss = (nll * valid).sum() / valid.sum().clamp(min=1)
else:
flat_logp = logp.reshape(-1, logp.shape[-1])
flat_lab = labels.reshape(-1)
keep = flat_lab != -100
if keep.any():
lp = flat_logp[keep]
lb = flat_lab[keep]
nll = -lp.gather(1, lb[:, None]).squeeze(1)
if label_smoothing > 0:
n_valid = torch.isfinite(lp).sum(-1).clamp(min=1).float()
smooth = -(lp.masked_fill(torch.isinf(lp), 0.0)).sum(-1) / n_valid
nll = (1 - label_smoothing) * nll + label_smoothing * smooth
slot_loss = nll.mean()
if brier_weight > 0:
p = lp.exp()
onehot = F.one_hot(lb, p.shape[-1]).float()
slot_loss = slot_loss + brier_weight * ((p - onehot) ** 2).sum(-1).mean()
else:
slot_loss = logits.sum() * 0.0
loss = slot_loss
if p_logits is not None and point_targets is not None and point_has_target is not None and point_has_target.any():
lp = p_logits.log_softmax(-1).masked_fill(torch.isinf(p_logits), 0.0)
tgt = point_targets.float()
nll = -(tgt * lp).sum(-1) # cross-entropy against the soft mask (= KL up to the target entropy)
point_loss = (nll * point_has_target).sum() / point_has_target.sum().clamp(min=1)
loss = point_loss * point_loss_weight if loss is None else loss + point_loss_weight * point_loss
return DecisionOutput(loss=loss, logits=logits, probs=probs, hidden_states=h, point_logits=p_logits, point_probs=p_probs,
slot_loss=slot_loss, point_loss=point_loss)
_VISION_CACHE_ON = False
_VISION_TARGET_DEVICE = [None] # set by the forward: cached ViT helper outputs are moved here (lets image_grid_thw stay on the CPU)
def enable_vision_helper_caches(maxsize: int = 512):
"""Memoise the Qwen3.5 ViT's per-call helpers by image grid.
`get_vision_interpolation_indices_and_weights`, `get_vision_position_ids` and `get_vision_attention_seqlens` rebuild
the same index tensors on every forward (tens of ms of small ops for a 320x240 frame). Their outputs depend only on
the grid (t, h, w) and the device, so they are cached; a Doom loop or a fixed-size screenshot stream hits the cache
every step. Idempotent; called automatically when a vision model is built.
"""
global _VISION_CACHE_ON
if _VISION_CACHE_ON:
return
try:
from transformers.models.qwen3_5 import modeling_qwen3_5 as mq
except Exception: # pragma: no cover
return
def cached(fn, key_extra=lambda *a, **k: ()):
cache = {}
def wrapper(grid_thw, *args, **kwargs):
kw = {k: v for k, v in kwargs.items() if k != "kwargs"}
target = _VISION_TARGET_DEVICE[0] or grid_thw.device
key = (tuple(map(tuple, grid_thw.tolist())), str(target), tuple(sorted((k, str(v)) for k, v in kw.items())), tuple(str(a) for a in args))
hit = cache.get(key)
if hit is None:
hit = fn(grid_thw, *args, **kwargs)
def mv(x):
return x.to(target) if torch.is_tensor(x) else x
hit = tuple(mv(x) for x in hit) if isinstance(hit, tuple) else mv(hit)
if len(cache) >= maxsize:
cache.clear()
cache[key] = hit
return hit
wrapper.__wrapped__ = fn
return wrapper
for name in ("get_vision_interpolation_indices_and_weights", "get_vision_position_ids", "get_vision_attention_seqlens"):
fn = getattr(mq, name, None)
if fn is not None and not hasattr(fn, "__wrapped__"):
setattr(mq, name, cached(fn))
_VISION_CACHE_ON = True
def mrope_positions_from_ids(input_ids, attention_mask, image_grid_thw, image_token_id: int, merge: int):
"""3-D position ids from token ids alone (same result as formatting.mrope_position_ids / Qwen's get_rope_index)."""
B, T = input_ids.shape
grids = [[int(v) for v in g] for g in image_grid_thw.tolist()]
ids = input_ids.tolist()
am = attention_mask.tolist() if attention_mask is not None else [[1] * T for _ in range(B)]
pos = torch.zeros((3, B, T), dtype=torch.long)
gi = 0
for b in range(B):
cur, i = 0, 0
n = sum(am[b])
while i < n:
if ids[b][i] == image_token_id:
t, h, w = grids[gi]; gi += 1
hm, wm = h // merge, w // merge
L = t * hm * wm
tt = torch.arange(t).view(t, 1, 1).expand(t, hm, wm).reshape(-1)
hh = torch.arange(hm).view(1, hm, 1).expand(t, hm, wm).reshape(-1)
ww = torch.arange(wm).view(1, 1, wm).expand(t, hm, wm).reshape(-1)
pos[0, b, i:i + L] = tt + cur; pos[1, b, i:i + L] = hh + cur; pos[2, b, i:i + L] = ww + cur
cur += max(hm, wm); i += L
else:
j = i
while j < n and ids[b][j] != image_token_id:
j += 1
pos[:, b, i:j] = torch.arange(j - i) + cur
cur += j - i; i = j
return pos
def convert_legacy_vision_state_dict(sd: dict) -> dict:
"""Checkpoints trained before 2026-09-23 stored the vision model as a Qwen3_5Model (`model.language_model.*`,
`model.visual.*`, 4 temperatures). Map them onto the shared layout (`model.*`, `visual.*`, 3 temperatures)."""
out = {}
for k, v in sd.items():
if k.startswith("model.language_model."):
out["model." + k[len("model.language_model."):]] = v
elif k.startswith("model.visual."):
out["visual." + k[len("model.visual."):]] = v
elif k == "log_temperature" and v.numel() == 4:
out[k] = v[:3].clone()
else:
out[k] = v
return out
def use_reference_kernels():
"""Force the pure-PyTorch Gated-DeltaNet / causal-conv paths.
transformers routes `chunk_gated_delta_rule` & co. to the Triton kernels (flash-linear-attention, causal-conv1d)
whenever those packages are importable, without checking the tensor device, which crashes on CPU/MPS.
Call this before running on a non-CUDA device.
"""
try:
from transformers.models.qwen3_5 import modeling_qwen3_5 as m
except Exception: # pragma: no cover
return
for name in ("torch_chunk_gated_delta_rule", "torch_recurrent_gated_delta_rule", "chunk_gated_delta_rule",
"fused_recurrent_gated_delta_rule", "causal_conv1d_fn", "causal_conv1d_update"):
fn = getattr(m, name, None)
if fn is not None and hasattr(fn, "__wrapped__"):
setattr(m, name, fn.__wrapped__)
def _init_slot_head(head: nn.Linear):
nn.init.normal_(head.weight, std=0.02)
if head.bias is not None:
nn.init.zeros_(head.bias)
@torch.no_grad()
def _init_new_token_embeddings(weight: torch.Tensor, tok, n_added: int):
"""New control tokens start near the mean of digit-token embeddings + small noise."""
digit_ids = [tok.convert_tokens_to_ids(d) for d in "0123456789"]
digit_ids = [i for i in digit_ids if i is not None and i != tok.unk_token_id]
mean = weight[digit_ids].float().mean(0) if digit_ids else weight[: weight.shape[0] - n_added].float().mean(0)
std = weight[: weight.shape[0] - n_added].float().std()
new = mean[None, :] + torch.randn(n_added, weight.shape[1]) * std * 0.1
weight[-n_added:] = new.to(weight.dtype)
def confidence_from_probs(p: torch.Tensor, k: int) -> float:
"""1 - normalised entropy over the k valid options."""
if k <= 1:
return 1.0
p = p[:k].clamp(min=1e-12)
p = p / p.sum()
h = -(p * p.log()).sum().item()
return float(max(0.0, min(1.0, 1.0 - h / math.log(k))))
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