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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>LOG-AID: Logit-Based Statistical Features for AI Text Detection</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Sophie Titze</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oren Halvani</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Fraunhofer Institute for Secure Information Technology SIT</institution>
          ,
          <addr-line>Rheinstraße 75, 64295 Darmstadt</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>This submission addresses Subtask 1 of the Voight-Kampf Generative AI Detection task, which is part of the PAN 2025 lab. The goal of the subtask is to distinguish AI-generated texts from human-written ones, even when the machine-generated texts have been intentionally obfuscated to appear more human-like. As Large Language Models (LLMs) continue to improve in fluency and coherence, this distinction becomes increasingly dificult and requires robust detection strategies. This submission introduces a zero-shot method based on token-level statistics, which are extracted from two pre-trained LLMs: a base model and an instruction-tuned model. This method LOG-AID computes five core features: mean surprisal under each model, Jensen-Shannon divergence between their predictive distributions, average entropy diference, the mean entropy of the base model and the average logarithmic rank of the ground-truth tokens. These features are combined into a fixed-size vector and classified using a logistic regression model. On the oficial test set, the proposed system achieved a mean score of 0.827 across five metrics, surpassing strong baselines such as Binoculars (0.818) and PPMd Compression (0.758). In particular, the combination of uncertainty-based measures (surprisal, entropy) and rank-based features (log-rank) enhances discriminative power. This contribution ofers a simple, interpretable and self-contained classification approach that does not require any fine-tuning. The method relies solely on internal probability structures of pre-trained models and may serve as a lightweight baseline for future work in AI text detection.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;PAN 2025</kwd>
        <kwd>Voight-Kampf Generative AI Detection</kwd>
        <kwd>AI Text detection</kwd>
        <kwd>GenAI Detection</kwd>
        <kwd>LLM Text Detection</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        LLMs ofer considerable benefits across domains. For example, they can enhance productivity by
accelerating content creation and software development [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], increase accessibility through simplified
language and assistive integration [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] or downstream tasks like sentiment analysis, translation, and
summarization [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. However, their growing fluency also enables large-scale misuse. LLMs can be
exploited to generate convincing misinformation [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], produce spam and phishing content or facilitate
academic fraud [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>
        The Voight-Kampf Generative AI Detection (VKGen) task [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], hosted as part of PAN 2025 [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ],
addresses this challenge by providing a controlled benchmark for identifying AI-generated texts that
have undergone stylistic obfuscation. In Subtask 1, the goal is to classify individual texts as either
human-written or machine-generated, using only the raw text as input. The dificulty is amplified by
the fact that the AI-generated samples may be modified to mimic human style and genre conventions [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
This submission presents a simple and robust approach that requires no fine-tuning. The method
leverages two pretrained language models, a base model and its instruction-tuned counterpart, to
compute token-level metrics that reflect model confidence and divergence. These include mean
surprisal, Jensen-Shannon divergence between predictive distributions, entropy diferences, the base
model’s average entropy, and the average logarithmic rank of ground-truth tokens.
      </p>
      <p>These five features are aggregated and passed to a logistic regression classifier.</p>
      <p>Unlike many existing systems, this method does not rely on text similarity, fine-tuned classifiers or
data augmentation. Instead, it exploits model-intrinsic probabilities to characterize how expected a
text appears from the perspective of diferent LLMs. This lightweight framework aims to provide a
transparent and modular baseline for robust detection.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Work</title>
      <p>
        The participating methods in the PAN 2024 ’Voight-Kampf Generative AI’ Competition showed a wide
range of methods. Many models were based on BERT or DeBERTa, either fine-tuned or combined with
additional components such as R-Drop, LSTM, CNN or contrastive learning [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. At the same time, a
more classical approach was surprising: the third-placed method from Lorenz et al. achieved a mean
score of 0.886 using only TF-IDF term count features and linear classifiers such as an SVM, which
demonstrated the current relevance of proven feature engineering strategies [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. The winning solution
from Tavan and Najafi [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] was convincing with an ensemble of fine-tuned LLMs (Mistral, Llama2) and
the Binocular’s method as a central component [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. It is worth noting that Binoculars in conjunction
with Falcon-7B was also the strongest baseline in the competition [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. The Binoculars method compares
token-level output distributions between two LLMs to detect asymmetries in confidence. Specifically, it
computes a ratio of perplexity from a performer model and the cross-entropy measured by an observer
model [10]. Binoculars is one of the so-called white-box approaches [11]. These require direct access to
the underlying LLM. Logit-based methods use the raw output of the model, i. e., the values from the last
linear layer before the softmax function is applied. White-box methods typically work zero-shot. They
therefore do not require their own training, but analyze the probability distributions provided by the
model directly. The logits can be used to calculate statistical variables such as token-surprisal, entropy,
rank of a token or divergence from expected patterns [11].
      </p>
      <p>The GLTR (Giant Language model Test Room) method, presented by Gehrmann et al., is a
visualization tool for the recognition of AI-generated texts [12]. It is assuming that generative
language models prefer to choose words from the upper range of the probability scale. GLTR
uses the prediction distributions of an LLM (e. g., GPT-2) to calculate the probability, rank and
entropy of the prediction distribution for each token. Here, the rank refers to the occurrence
in the vocabulary when this is sorted according to the probability of a token in its previous text
sequence. In a user study, the tool increased the recognition rate of generated texts from 54% to 72% [12].
In the publication on DetectLLM, two powerful zero-shot methods for recognizing machine-generated
texts were presented [13]. The methods DetectLLM-LRR and DetectLLM-NPR use either the ratio of log
likelihood to log rank or the change of the log rank value under specific text perturbations to identify
generated texts based on their typical statistical instabilities. However, the average logarithmic rank
position of the tokens (log(rank)) already proved to be a particularly strong baseline, achieving higher
ROC values compared to the non-logarithmic rank [13].</p>
      <p>In addition Venkatraman et al. showed that surprisal can be used for the AI detection task [14].
Surprisal describes how unexpected or surprising a token is in a given context. Their method GPT-who
calculates its mean value, variance and the diferences between consecutive tokens. Furthermore,
texts were segmented in 20 token long subtexts. For all 20-token-segments the surprisal features were
calculated using a sliding window. The most extreme surprisal variances were extracted as additional
features. These features were classified using a logistic regression. The approach achieved an average
1 score of 0.88 on the TuringBench dataset [14].</p>
      <p>Overall, logit-based metrics, including surprisal or entropy, in combination with simple classifiers like
logistic regression, can achieve remarkably strong performance in recognising machine-generated text.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Method</title>
      <sec id="sec-3-1">
        <title>3.1. Task Definition and Evaluation Protocol</title>
        <p>
          Subtask 1 of the PAN 2025 VKGen Challenge addresses the binary classification problem of determining
whether a given text was authored by a human or generated by an AI system. In contrast to previous
years, this year’s task introduces additional challenges by incorporating adversarially obfuscated texts,
designed to humanize the writing style [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]. The input consists of a single text  and the goal is to
predict whether it is machine-generated ( = 1) or human-authored ( = 0). The expected system
output is a score  ∈ [
          <xref ref-type="bibr" rid="ref1">0, 1</xref>
          ], where [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]:
•  &lt; 0.5 :  is classified as human-written,
•  &gt; 0.5 :  is classified as AI-generated,
•  = 0.5 : the system abstains from making a prediction.
        </p>
        <p>
          It should be emphasized that the LOG-AID method always outputs predictions without defining an
uncertainty range for which  = 0.5 applies. In other words, we do not have any non-predictions,
which have an efect on performance metrics such as @1. In this specific case, @1 equals the standard
accuracy metric, according to Stamatatos et al. [15]. The participants were provided with two data
sets: a training set with 17,730 texts (9,101 human, 8,629 machine) and a validation set with 3,589 texts
(1,277 human, 2,312 machine). The texts come from three genres (fiction, news, essays) and exhibit
a wide variety of styles and models. A total of 29 diferent AI models were used, with GPT models
dominating. Each entry contains the label, the genre, the text and, where applicable, the generating
model. A separate test set was retained and used exclusively for the final evaluation [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ].
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. System Workflow</title>
        <p>The proposed detection method LOG-AID for the PAN25 Voight-Kampf Challenge adopts a two-stage
architecture. In the first stage, each input text is analyzed independently using two pre-trained causal
language models: Falcon-7B1 and its instruction-tuned variant Falcon-7B-Instruct2. These models
operate in a zero-shot, autoregressive setting to compute token-level output distributions (e. g., logits).
From these, six interpretable statistical features are derived, including mean surprisal, entropy diference
and Jensen-Shannon divergence for both models. As well as entropy and the mean logit rank for the
base model. To ensure eficiency, models are loaded sequentially. In the second stage, the feature vector
is standardized using a z-score normalization and passed to a logistic regression classifier trained to
distinguish between human and AI-generated texts.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Metric Descriptions</title>
        <p>Surprisal quantifies how surprising a token  is for a language model in the given context &lt; and
corresponds to the negative logarithm of the associated prediction probability [14]:
Surprisal () = − log  ( | &lt;)
(1)
In our approach, this metric is averaged over all tokens of a text. This reflects the average model
uncertainty in predicting the words that actually occur. A lower mean surprisal value indicates a
higher predictability of the text [14]. With Shanon entropy, the entropy of the prediction probability
distribution  ( | &lt;) is calculated for each token :
1https://huggingface.co/tiiuae/falcon-7b
2https://huggingface.co/tiiuae/falcon-7b-instruct
() = −

∑︁  log 
=1
Mean Entropy = 1 ∑︁  ()</p>
        <p>=1
Δ =
1 ∑︁ ⃒⃒ () () − () ()⃒⃒⃒
 =1 ⃒
In addition, the diference between the mean entropies of two models is calculated to determine divergent
uncertainties between a base model and an instruct model:
To quantify the typicality of a token under the model’s predictive distribution, we compute the
logarithmic rank of each observed token within the vocabulary. The rank measures how highly the actual
token  is located in the model’s predicted probability distribution  ( | &lt;), where &lt; denotes the
preceding context [12]. Formally, let rank () ∈ N denote the position of the token  in the list of all
vocabulary items  ∈  , sorted by descending probability  ( | &lt;). The average log-rank over a
sequence of  tokens provides a robust scalar feature that reflects the model’s overall perception of
how typical the observed sequence is:
Here  is the size of the vocabulary and  is the predicted probability for the th token. In this
implementation, entropy is computed per token using the scipy.stats.entropy 3 function applied to the
softmax-normalized logit distributions. The average entropy is then calculated as the average of all
token-specific entropy values over the entire text:
(2)
(3)
(4)
(5)
(6)
(7)
Mean log - Rank() = 1 ∑︁ log (rank())
 =1
where  is the token at position  and rank () is the index (starting at 1 ) of  in the sorted distribution.
Low log-rank values indicate that tokens consistently appear near the top of the model’s predicted
distribution-suggesting a more stereotyped or expected sequence-while high values reflect less typical
or more surprising lexical choices [12]. The Jensen-Shannon divergence (JSD) is used to quantify the
divergence between the conditional probability distributions of two language models at each token
position. It compares two probability distributions  and  (in this case the logit probabilities of the
base-model and the instruct-model) over the vocabulary  . The JSD is defined as [16]:
JSD( ‖) =
Here, KL denotes the Kullback-Leibler divergence and  the mixed distribution. The Kullback-Leibler
divergence between two discrete probability distributions  and  over the vocabulary  is defined as
[16]:

KL( ‖) = ∑︁  log 
=1 
where  and  denote the predicted probabilities of token  under  and , respectively. Since JSD is
symmetric and restricted to the interval [0, log 2], it is particularly suitable for comparing probabilistic
model [16]. In this method, the JSD is calculated for each token  based on the previous tokens &lt;.
The mean JSD across all tokens serves as a measure of the average prediction deviation between the
base and instruct models.
3https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.entropy.html</p>
      </sec>
      <sec id="sec-3-4">
        <title>3.4. Configurations and Development Environment</title>
        <p>The final prediction is generated using a logistic regression classifier trained on the six-dimensional
feature-vectors. Prior to classification, all feature values are standardized using z-score normalization
(StandardScaler4). The logistic regression model5 is configured with L2 regularization (default penalty),
a regularization strength parameter C=1.0, and a maximum iteration limit of 1000. To account for class
imbalance, the class_weight parameter is set to ’balanced’. The texts are processed in batches of the
size 8. Training was conducted on a single NVIDIA H100 GPU (80GB HBM3) with CUDA 12.7, using
approximately 60 GB of GPU memory. The program was then made accessible to the standardized
evaluation procedures on the TIRA platform during the course of the competition and tested there.
TIRA is a sandbox-based evaluation platform that enables the reproducible, isolated and fair execution
of participant solutions [17].</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Results</title>
      <p>
        (8)
(9)
(10)
To evaluate the efectiveness of the proposed detection method, we report results on the oficial PAN25
test set. Evaluation was carried out by the competition organizers on data unknown to participants
(see Tab. 1). All scores were computed using the PAN evaluation toolkit and include the following
metrics: AUC, Brier score complement, C@1, F1 score, F0.5u, and the arithmetic mean of these five
values [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. The metrics used examine diferent aspects to evaluate model performance. AUC measures
the probability that a positive example receives a higher score than a negative one [18]. The 1-score
measures the harmonic mean of precision and recall. The value is influenced by the selected positive
class [19]. The brier score is the mean square error (MSE) between the predicted probabilities and
the true labels [20]. The evaluation metrics all have a range of [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ]. The classic Brier score shows
better performance at low values, which would make averaging with the other metrics inaccurate. To
counteract this, its complement was formed within the competition. Another special feature of this
year’s competition was to give participants the opportunity to define a range of uncertainty in which
no statement needs to be made. The c@1 value therefore also deals with non-predictions and is defined
as follows [15]:
      </p>
      <p>+
1 (︂

 ·  )︂

Where  is the total number of instances,  is the number of correctly classified cases and  is the
 ·  disappears. The accuracy can be derived from the c@1 term as follows:
number of non-predicted cases. Since LOG-AID always makes a prediction,  = 0, which is why

[21]:
4https://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.StandardScaler.html
5https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LogisticRegression.html
 =</p>
      <p>TP + TN
TP + TN + FP + FN
= Accuracy
As this is an unbalanced data set, the larger class is more important in the evaluation. For this reason,
an additional metric, the balanced accuracy curve (BAC), is listed in Table 1. This is defined as follows
BAC =</p>
      <p>TPR + TNR
2
=
1 (︂</p>
      <p>TP
2 TP + FN
+</p>
      <p>TN
FP + TN
︂)
5. Conclusion
This work presents a lightweight approach to detecting machine-generated text, based on a compact
set of statistical features extracted from the output distributions of two pre-trained language models.
Without relying on fine-tuning or large-scale training, the system achieves competitive results in
the PAN25 Voight-Kampf Challenge, surpassing several strong baselines. By combining token-level
metrics such as surprisal, entropy, log-rank, and Jensen-Shannon divergence into a logistic regression
classifier, the system captures robust signals of artificiality and human-like variation. Empirical results
demonstrate high accuracy on the test set. The method could be supplemented with additional features
in future work. For example, not only the mean of entropy and surprisal could be computed, but also
their standard deviations or burstiness. Moreover, it would be worthwhile to explore topic-masking
techniques such as POSNoise [22] to guarantee a detection robustness against topic-related biases.</p>
    </sec>
    <sec id="sec-5">
      <title>6. Acknowledgments</title>
      <p>This research work was supported by the National Research Center for Applied Cybersecurity ATHENE.
ATHENE is funded jointly by the German Federal Ministry of Education and Research and the Hessian
Ministry of Higher Education, Research and the Arts.</p>
      <p>Mean</p>
    </sec>
    <sec id="sec-6">
      <title>Declaration on Generative AI</title>
      <p>During the preparation of this paper, the authors used ChatGPT and DeepL for rewording, grammar
and spelling checks. All content was subsequently reviewed and edited by the authors, who take full
responsibility for the final version of the publication.
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