We argue that uncertainty is a key and understudied limitation of LLMs' performance in creative writing, which is often characterized as trite and cliché-ridden. Literary theory identifies uncertainty as a necessary condition for creative expression, while current alignment strategies steer models away from uncertain outputs to ensure factuality and reduce hallucination. We formalize this tension by quantifying the ``uncertainty gap'' between human-authored stories and model-generated continuations. Through a controlled information-theoretic analysis of 28 LLMs on high-quality storytelling datasets, we demonstrate that human writing consistently exhibits significantly higher uncertainty than model outputs. We find that instruction-tuned and reasoning models exacerbate this trend compared to their base counterparts; furthermore, the gap is more pronounced in creative writing than in functional domains, and shows a consistent correlation with writing quality. Achieving human-level creativity requires new uncertainty-aware alignment paradigms that can distinguish between destructive hallucinations and the constructive ambiguity required for literary richness.
Figures & tables
Figure 1: The human–model uncertainty gap. Given a cumulative prefix T1 from a New Yorker story, we compare the author’s next sentence T2 against a model-generated continuation T^2 , scoring both under the same model (e.g., OLMo-3.1-32B-Instruct ). The human continuation presents a plot twist that introduces genuine tension into the story, which is reflected on all uncertainty metrics; the model instead reduces the scene to a stock quotation.
Base
Instruct
Thinking
Model
NLL
PPL
PMI
CPMI
NLL
PPL
PMI
CPMI
NLL
PPL
PMI
CPMI
OLMo-2-7B
2.18
3.62
-1.70
0.13
3.01
5.97
-1.89
0.01
OLMo-2-13B
2.19
3.48
-1.63
0.12
2.48
4.14
-1.77
0.10
OLMo-2-32B
2.15
3.19
-1.55
0.08
2.32
3.51
-1.64
0.07
OLMo-3-7B
2.20
3.95
-1.81
0.15
3.30
7.98
-2.20
0.09
2.74
6.07
-2.17
0.11
OLMo-3-32B
2.15
3.47
-1.66
0.09
2.99
5.59
-1.68
-0.43
2.78
5.06
-1.66
-0.40
Table 1: (Top) New Yorker, (Bottom) Tell-Me-A-Story. Values reported are medians. NLL and PPL are reported as ratios (human/model); PMI and CPMI as differences (human − model), negative Δ PMI indicates higher human uncertainty. Cell colors represent human–model gap magnitude (green = small, red = large). Instruct and thinking models exhibit significantly larger gaps than their base variants.
Domain
NLL
PPL
PMI ( Δ )
CPMI ( Δ )
Essays
3.07
6.03
−1.71
−0.09
News (Reuters)
3.31
5.91
−1.73
−0.10
Creative Writing
3.11
6.60
−2.15
−0.28
Table 2: Uncertainty gap by domain. Values are medians aggregated across 8 instruct models on the Ghostbuster corpus. The domain gap is very pronounced on Δ PMI and Δ CPMI.
Source
Metric
ρ
Sig.
% Linear
Sweet Spot
% Diminishing
Human
NLL
+0.072±0.049
56%
12%
34%
9%
PPL
+0.072±0.049
56%
5%
0%
25%
PMI
−0.106±0.052
75%
44%
2%
0%
Model
NLL
+0.109±0.062
77%
28%
31%
19%
PPL
+0.109±0.062
77%
9%
31%
33%
PMI
−0.076±0.040
69%
45%
2%
0%
Table 3: Relationship between uncertainty metrics and writing quality. ρ : mean Spearman correlation ± std; Sig.: % of models with significant correlation in the expected direction (positive for NLL/PPL, negative for PMI; p<0.05 ); Sweet Spot: % exhibiting a significant inverted-U (quadratic) relationship with peak in range.
Appendix figures & tables17 assets
Supplementary material from the paper’s appendix.
Appendix
UE Metric
Higher Value Indicates
Scope
Token Entropy
More uncertainty
Token
Perplexity
More uncertainty
Sequence
PMI
More predictable by context
Sequence
CPMI
Uncertainty at key positions
Sequence
Appendix
Table 4: Summary of uncertainty metrics and their interpretation.
New Yorker
Tell-Me-A-Story
Family
Variant
Δ PMI
Δ CPMI
ΔNLLabs
ΔS
∣ΔPMI∣∣ΔS∣
Δ PMI
Δ CPMI
ΔNLLabs
ΔS
∣ΔPMI∣∣ΔS∣
Localization
OLMo-2-7B
Base
− 1.70
+0.13
+1.29
− 1.14
0.67
− 1.55
+0.04
+1.15
− 1.08
0.70
filler
OLMo-2-7B
Instruct
− 1.89
+0.01
+1.79
− 1.79
0.95
− 1.85
+0.01
+1.70
− 1.70
0.92
uniform
OLMo-2-13B
Base
− 1.63
+0.12
+1.25
− 1.11
0.68
− 1.48
+0.03
+1.11
− 1.07
0.72
filler
OLMo-2-13B
Instruct
− 1.77
+0.10
+1.42
− 1.30
0.74
− 1.69
+0.05
+1.34
− 1.27
0.75
filler
OLMo-2-32B
Base
− 1.55
+0.08
+1.16
− 1.07
0.69
− 1.45
+0.01
+1.07
− 1.04
0.72
filler
Appendix
Table 5: Decomposition of the CPMI gap for every cell of Table 1 . ΔNLLabs is the absolute surprisal gap (human − model) and ΔS is the decision-point component, which sums unconditional log-probabilities only at tokens whose conditional surprisal exceeds τ=2 nats. Per row, ΔCPMI=ΔNLLabs+ΔS . The ratio ∣ΔS∣/∣ΔPMI∣ localizes the gap, and the localization tag summarizes it: filler below ≈0.9 , uniform near 1, decision points above ≈1.05 . The tag agrees across both datasets for all 28 cells.
New Yorker
Tell-Me-A-Story
Source
NLL
PPL
PMI
CPMI
NLL
PPL
PMI
CPMI
Human (ground truth)
3.11
22.53
1.31
− 0.24
2.78
16.08
1.52
− 0.21
Qwen3-4B-Instruct
2.85
17.29
1.73
0.09
2.56
12.95
2.05
0.25
OLMo-3-7B-Instruct
3.06
21.28
1.77
0.08
2.71
15.03
2.12
0.24
Gemma-3-4B-it
2.74
15.42
1.82
0.19
2.39
10.88
2.25
0.37
Gemma-3-12B-it
2.74
15.50
1.93
0.21
2.41
11.16
2.35
0.41
Appendix
Table 6: Medians under an independent Llama-3.1-8B-Instruct evaluator. Unlike Table 1 , values are raw per-source medians rather than human/model ratios or differences; the gap is the human row minus (or over) each model row. Human NLL and PPL exceed every model on both datasets, and human PMI/CPMI fall below every model, matching the direction of Table 1 .
Dataset
Total Stories
After Filtering
Sentences
Tokens
Writers
Data Source
Availability
Memorization Risk
New Yorker
504
70
9,144
201,199
Expert, some prize-winning
The New Yorker magazine
Private
Very Low
Tell_Me_a_Story ( Huot et al., 2025 )
230
226
23,218
500,452
Professional
Story workshop
Public (requires decryption)
Low
Ghostbuster ( Verma et al., 2024 )
299
298
10,010
213,749
Lay
Reddit (r/WritingPrompts)
Public
Medium
Appendix
Table 7: Dataset Statistics
Essays
News (Reuters)
Creative Writing
Model
Size
NLL
PPL
PMI
CPMI
NLL
PPL
PMI
CPMI
NLL
PPL
PMI
CPMI
OLMo-2-Instruct
7B
3.45
7.14
−1.66
0.24
3.46
6.16
−1.69
0.20
3.46
7.43
−2.13
0.01
OLMo-2-Instruct
13B
2.85
5.11
−1.58
0.25
2.86
4.48
−1.59
0.20
2.68
4.85
−1.95
0.08
OLMo-3-Instruct
7B
3.30
7.32
−1.92
0.25
3.62
8.07
−2.25
0.26
3.51
8.94
−2.33
0.05
Llama-3.1-Instruct
8B
2.15
3.79
−2.24
−0.19
2.27
3.47
−1.99
−0.34
2.17
3.95
−3.03
−0.26
Qwen3-Instruct
4B
3.25
6.60
−1.50
0.34
3.51
6.92
−1.47
0.32
3.55
8.33
−1.63
0.21
Appendix
Table 8: Full domain comparison results. All values are medians. NLL and PPL are ratios (human/model); PMI and CPMI are differences (human − model).
Model
vs. Essays (%)
vs. News (%)
OLMo-2-7B-Instruct
+28.3
+26.0
OLMo-2-13B-Instruct
+23.4
+22.6
OLMo-3-7B-Instruct
+21.4
+3.6
Llama-3.1-8B-Instruct
+35.3
+52.3
Qwen3-4B-Instruct
+8.7
+10.9
Phi-4
+12.3
+16.0
Appendix
Table 9: Relative increase in PMI gap for creative writing compared to functional domains.
Target
Comparison
Metric
Sig. in expected dir.
Median ∣rrb∣
Human–model gap
Base → Instruct
NLL
18/22
1.00
Human–model gap
Base → Instruct
PPL
20/22
1.00
Human–model gap
Base → Instruct
PMI
14/22
0.75
Human–model gap
Base → Instruct
CPMI
12/22
0.80
Human–model gap
Base → Thinking
NLL
6/6
1.00
Human–model gap
Base → Thinking
PPL
6/6
1.00
Appendix
Table 10: Number of family × dataset comparisons that are both significant (Holm-corrected p<.05 ) and in the hypothesized direction, out of 22 for base to instruct and 6 for base to thinking. Expected direction: NLL/PPL ratios increase (the gap widens), Δ PMI and Δ CPMI become more negative, and the model’s own NLL/PPL decrease.
Family
NLL
PPL
PMI
CPMI
New Yorker
OLMo-2-7B
2.18→3.02 ∗∗∗
3.67→6.26 ∗∗∗
−1.71→−1.87 ∗∗∗
0.15→0.03 ∗∗∗
OLMo-2-13B
2.19→2.50 ∗∗∗
3.66→4.38 ∗∗∗
−1.64→−1.80 ∗∗∗
0.14→0.13
OLMo-2-32B
2.15→2.32 ∗∗∗
3.38→3.71 ∗∗∗
−1.56→−1.67 ∗∗∗
0.11→0.09
OLMo-3-7B
2.20→3.33 ∗∗∗
4.10→8.55 ∗∗∗
−1.80→−2.22 ∗∗∗
0.17→0.13 ∗∗∗
OLMo-3-32B
2.16→3.00 ∗∗∗
3.52→5.88 ∗∗∗
−1.69→−1.67
0.11→−0.37 ∗∗∗
Appendix
Table 11: Human–model gap, base to instruct. Cells show base median → instruct median ; stars denote a significant two-sided change on the Holm-corrected p-value ( ∗∗∗p<.001 , ∗∗p<.01 , ∗p<.05 ; no star = not significant), and the direction is read from the two medians. NLL/PPL widen for every family except Llama-3.1-8B , which is flat, and Mistral-Small-24B , which narrows slightly.
Family
NLL
PPL
PMI
CPMI
New Yorker
OLMo-3-7B
2.20 → 2.76 ∗∗∗
4.10 → 6.19 ∗∗∗
− 1.80 →− 2.18 ∗∗∗
0.17 → 0.15
OLMo-3-32B
2.16 → 2.78 ∗∗∗
3.52 → 5.25 ∗∗∗
− 1.69 →− 1.66
0.11 →− 0.36 ∗∗∗
Qwen3-4B
2.22 → 3.35 ∗∗∗
4.16 → 8.37 ∗∗∗
− 1.74 →− 1.56 ∗∗∗
0.20 → 0.28 ∗∗∗
Tell-Me-A-Story
OLMo-3-7B
2.15 → 2.76 ∗∗∗
3.36 → 5.15 ∗∗∗
− 1.66 →− 2.03 ∗∗∗
0.06 → 0.05
Appendix
Table 12: Human–model gap, base to thinking, for the three families with an exact base–instruct–thinking triplet. Conventions as in Table 11 .
New Yorker
Tell-Me-A-Story
Family
NLL
PPL
NLL
PPL
OLMo-2-7B
1.11 → 0.91 ∗∗∗
3.03 → 2.48 ∗∗∗
1.01 → 0.78 ∗∗∗
2.76 → 2.17 ∗∗∗
OLMo-2-13B
1.07 → 0.98 ∗∗∗
2.91 → 2.67 ∗∗∗
0.98 → 0.86 ∗∗∗
2.66 → 2.36 ∗∗∗
OLMo-2-32B
1.04 → 0.97 ∗∗∗
2.82 → 2.64 ∗∗∗
0.95 → 0.88 ∗∗∗
2.60 → 2.41 ∗∗∗
OLMo-3-7B
1.16 → 0.91 ∗∗∗
3.21 → 2.48 ∗∗∗
1.07 → 0.80 ∗∗∗
2.90 → 2.23 ∗∗∗
OLMo-3-32B
1.09 → 0.88 ∗∗∗
2.98 → 2.41 ∗∗∗
1.00 → 0.79 ∗∗∗
2.73 → 2.20 ∗∗∗
Appendix
Table 13: The model continuation’s own surprisal, base to instruct, which is the most literal reading of a “reduction in uncertainty”. It drops significantly for 9 of 11 families, with every story moving the same way ( ∣rrb∣≈1 ). The two exceptions, Llama-3.1-8B and Mistral-Small-24B , show a small but significant increase : post-training did not reduce their uncertainty.
Family
Variant
NLL ratio
PPL ratio
PMI gap
CPMI gap
New Yorker
OLMo-2
Base
2.18 → 2.15 ∗ rrb=−.40
3.67 → 3.38 ∗∗∗ rrb=−1.0
− 1.71 →− 1.56 ∗∗∗ rrb=+.84
+0.15 → +0.11 ∗ rrb=−.43
OLMo-2
Instruct
3.02 → 2.32 ∗∗∗ rrb=−1.0
6.26 → 3.71 ∗∗∗ rrb=−1.0
− 1.87 →− 1.67 ∗∗∗ rrb=+.95
+0.03 → +0.09 ∗∗∗ rrb=+.64
OLMo-3
Base
2.20 → 2.16 ∗∗ rrb=−.47
4.10 → 3.52 ∗∗∗ rrb=−1.0
− 1.80 →− 1.69 ∗∗∗ rrb=+.85
+0.17 → +0.11 ∗∗∗ rrb=−.69
OLMo-3
Instruct
3.33 → 3.00 ∗∗∗ rrb=−1.0
8.55 → 5.88 ∗∗∗ rrb=−1.0
− 2.22 →− 1.67 ∗∗∗ rrb=+1.0
+0.13 →− 0.37 ∗∗∗ rrb=−1.0
OLMo-3
Thinking
2.76 → 2.78 (ns)
6.19 → 5.25 ∗∗∗ rrb=−.97
− 2.18 →− 1.66 ∗∗∗ rrb=+1.0
+0.15 →− 0.36 ∗∗∗ rrb=−1.0
Appendix
Table 14: Per-variant scale effect. Cells show the median at the smallest size → the median at the largest size, with stars on the Holm-corrected p-value ( ∗∗∗p<.001 , ∗∗p<.01 , ∗p<.05 ) and the matched-pairs rank-biserial effect size. Gemma-3 Base is the one case where the NLL ratio grows slightly with scale.
Family
NLL tax
PPL tax
PMI tax
CPMI tax
New Yorker
OLMo-2 (7B → 32B)
+0.83 → +0.16 ∗∗∗ rrb=−1.0
+2.44 → +0.34 ∗∗∗ rrb=−1.0
− 0.19 →− 0.10 ∗∗∗ rrb=+.50
− 0.11 →− 0.01 ∗∗∗ rrb=+.78
OLMo-3 (7B → 32B)
+1.12 → +0.86 ∗∗∗ rrb=−.98
+4.22 → +2.22 ∗∗∗ rrb=−1.0
− 0.38 →− 0.03 ∗∗∗ rrb=+.98
− 0.04 →− 0.47 ∗∗∗ rrb=−1.0
Gemma-3 (4B → 27B)
+1.72 → +1.26 ∗∗∗ rrb=−.98
+5.15 → +2.92 ∗∗∗ rrb=−1.0
+0.10 →− 0.15 ∗∗∗ rrb=−.92
− 0.46 →− 0.06 ∗∗∗ rrb=+1.0
Tell-Me-A-Story
OLMo-2 (7B → 32B)
+1.08 → +0.28 ∗∗∗ rrb=−1.0
+2.39 → +0.49 ∗∗∗ rrb=−1.0
− 0.29 →− 0.10 ∗∗∗ rrb=+.84
− 0.03 → +0.02 ∗∗∗ rrb=+.53
Appendix
Table 15: Alignment tax by scale, where the tax is the instruct gap minus the base gap. Cells show the per-story tax at the smallest size → the tax at the largest size. All 24 tests are significant at Holm p<.001 .
Setting
OLMo-2-7B
Llama-3.1-8B
Qwen3-4B
Gemma-3-4B
Gap in NLL (nats)
T=0.6
1.87 / 1.81
1.38 / 1.22
2.00 / 1.83
2.23 / 1.96
T=1.0
1.81 / 1.72
1.33 / 1.17
2.02 / 1.86
2.23 / 1.96
T=1.5
1.67 / 1.63
− 0.33 / − 0.29
1.81 / 1.67
2.08 / 1.82
VS
− 0.10 / − 0.25
− 0.40 / − 0.27
-
-
Gap in PMI (nats)
Appendix
Table 16: Median paired gap under bare- T1 scoring, reported per dataset as New Yorker / Tell-Me-A-Story. Note that the sign convention differs from Table 1 : these are gaps in nats, not ratios. A positive NLL gap means the model is more confident than the human; a negative PMI gap means model continuations depend on context more than human ones. PPL ratio equals exp (NLL gap) and tracks NLL directly.
Dataset
Source
Metric
n
ρˉ
σρ
Sig.+
Sig.–
Sweet
zˉ∗
ΔR2
ghostbuster
Human
NLL
8
0.122
0.021
100%
0%
0%
–
0.0008
Human
PMI
8
-0.077
0.025
0%
88%
12%
-0.68
0.0007
Human
PPL
8
0.122
0.021
100%
0%
0%
–
0.0008
Model
NLL
8
0.176
0.033
100%
0%
0%
–
0.0016
Model
PMI
8
-0.031
0.030
0%
25%
0%
–
0.0009
Model
PPL
8
0.176
0.033
100%
0%
0%
–
0.0046
Appendix
Table 17: Detailed correlation analysis between uncertainty metrics and writing quality, broken down by dataset. ρˉ : mean Spearman correlation across models; σρ : standard deviation; Sig.+/–: percentage of models with significant positive/negative correlation ( p<0.05 ); Sweet: percentage exhibiting inverted-U relationship; zˉ∗ : mean peak location in standardized units for sweet-spot cases.
New Yorker
TellMeAStory
Ghostbuster
Model
Human
Model
Human
Model
Human
Model
Qwen3-4B-Base
0.029
0.018
0.130 ∗∗∗
0.121 ∗∗∗
–
–
Qwen3-4B-Instruct-2507
0.015
0.100 ∗∗
0.095 ∗∗∗
0.167 ∗∗∗
0.112 ∗∗∗
0.176 ∗∗∗
Qwen3-4B-Thinking-2507
0.017
0.064 ∗
0.090 ∗∗∗
0.109 ∗∗∗
–
–
OLMo-2-0325-32B
0.007
0.017
0.134 ∗∗∗
0.153 ∗∗∗
–
–
OLMo-2-0325-32B-Instruct
0.006
0.026
0.111 ∗∗∗
0.162 ∗∗∗
–
–
Appendix
Table 18: Per-model Spearman correlations between uncertainty (NLL) and writing quality. Significance: ∗∗∗p<0.001 , ∗∗p<0.01 , ∗p<0.05 .
Dataset
Source
Metric
βˉ1
βˉ2
Linear
Sweet Spot
Diminishing
ghostbuster
Human
NLL
0.055
-0.0038
100%
0%
0%
Human
PMI
-0.036
-0.0015
75%
12%
0%
Human
PPL
0.059
-0.0017
38%
0%
12%
Model
NLL
0.077
-0.0014
75%
0%
12%
Model
PMI
-0.021
0.0041
12%
0%
0%
Model
PPL
0.092
-0.0091
25%
0%
75%
Appendix
Table 19: Quadratic regression analysis: Quality=β0+β1x+β2x2 where x is standardized uncertainty. A significant negative β2 with peak within range indicates an inverted-U (sweet spot) relationship. Values averaged across models.
Source
Metric
Linear
Sweet Spot
Diminishing
U-Shape
Flat/NS
Human
NLL
8
22
6
0
28
PPL
3
0
16
0
45
PMI
28
1
0
0
35
Model
NLL
18
20
12
1
13
PPL
6
20
21
0
17
PMI
29
1
0
3
31
Appendix
Table 20: Distribution of relationship shapes between uncertainty and quality across all model-dataset combinations. Linear: significant linear term only; Sweet Spot: significant inverted-U with peak in range; Diminishing: inverted-U with peak outside range; U-Shape: significant positive quadratic term.
While post-training improves the capabilities of large language models (LLMs), it generally lowers their output diversity and creativity, negatively impacting tasks that explicitly require creativity (e.g., story generation) as well as those that require it implicitly, e.g., reinforcement learning (RL). We instead propose CreativeInstruct, a scalable instruction-tuning method that teaches LLMs to balance creative, base-model-like generations with the quality of post-trained models, by learning to inject special [StartCreativity] spans that bias generation toward creativity. Furthermore, we introduce a structural diversity metric based on graph edit distance, which captures narrative level variation missed by purely lexical and semantic metrics. On narrative generation, CreativeInstruct matches or exceeds the diversity of both multi-model baselines and distilled variants of their outputs, without sacrificing quality or requiring multiple models at inference time. These results are mirrored in our human evaluation, where we find that annotators rate CreativeInstruct generations as more creative than the post-trained LLMs' generations in 70.3% of cases. We also show the benefits of creative models as a substrate for RL: GRPO applied to a CreativeInstruct checkpoint improves by ~4% on AMC and ~5% points on MATH over the same training applied to the post-trained checkpoint.
Ananya Sahu, Mohit Bansal, Elias Stengel-Eskin
Columbia · UNC Chapel Hill · University of Texas at Austin
In the era of large language models, creative writing quality lacks a computable theoretical anchor. The dominant approaches are rubric scoring -- decomposing holistic aesthetic judgment into sub-scores -- and RLHF preference signals -- replacing quality with group votes. Both bypass the statistical structure of the text itself. This paper provides an information-theoretic foundation to fill this gap. We propose 'calibrated surprise' as the information-theoretic essence of excellent creative writing. This judgment matches reading intuition and covers its opposite. This literary judgment admits a precise mathematical formulation. Under full-dimensional constraints Y, feasible writing choices are forced into an extremely narrow space. The rare survivors are, from the unconstrained perspective, exactly the least predictable choices. Both are measured precisely by Shannon mutual information I(X;Y) = H(X) - H(X|Y) -- 'calibrated' corresponds to H(X|Y) approaching 0; 'surprising' corresponds to H(X) going high. The subtraction structure of the formula naturally separates 'well-grounded surprise' from 'pure noise'. We use token-level logprobs from Qwen1.5-7B as an operational proxy for the ideal reader's probability distribution. Across 20 pairs (12 Chinese / 8 English) of high-quality vs. systematically degraded literary passages, 20/20 pairs support the core prediction: high-quality passages have systematically higher I(X;Y) than their degraded versions.
Many benchmarks track Large Language Model (LLM) performance on tasks with verifiable answers, but less is known about how LLM performance is evolving on open-ended tasks, where creativity, originality and diversity may matter as much as quality. As LLMs increasingly support human ideation and creative work, understanding trends in LLM performance on open-ended tasks is critical. This paper presents a preliminary analysis of LLM creative outputs spanning three years of model releases, examining model responses to Infinity-Chat100, a real-world collection of open-ended user queries, and the Alternate Uses Task, an established psychometric creativity assessment. Using sentence-embedding similarity, we examine trends in LLM responses to these prompts. Our findings show a statistically significant decrease in model output diversity over time, suggesting that LLM outputs may be converging in creative substance across models. If this trend persists, LLM-driven homogenization may progressively diminish human agency in human-AI co-creative work, demanding careful consideration of LLMs' role in the human creative process.
Nirav Patel, Josiah Crossman, Eva Aggarwal +1
Department of Computer Science, Duke University · Department of Electrical & Computer Engineering, Duke University