This paper introduces a new dimension for validating algorithmic decisions about humans by measuring the fidelity of their representations. Representation Fidelity measures if decisions about a person rest on reasonable grounds. We propose to operationalize this notion by measuring the distance between two representations of the same person: (1) an externally prescribed input representation on which the decision is based, and (2) a self-description provided by the human subject of the decision, used solely to validate the input representation. We examine the nature of discrepancies between these representations, how such discrepancies can be quantified, and derive a generic typology of representation mismatches that determine the degree of representation fidelity. We further present the first benchmark for evaluating representation fidelity based on a dataset of loan-granting decisions. Our Loan-Granting Self-Representations Corpus 2025 consists of a large corpus of 30 000 synthetic natural language self-descriptions derived from corresponding representations of applicants in the German Credit Dataset, along with expert annotations of representation mismatches between each pair of representations.
Figures & tables
Figure 1. Overview of our approach to analyze representation fidelity. Top row: An algorithmic decision system typically implements a standard classification pipeline. An individual v is represented as x using a representation function α1() . The representation x is then fed to the classifier c() of an algorithmic decision system, which outputs the decision c(x) . Bottom row: Our approach to analyze representation fidelity represents v as a natural language self-description d using a representation function α2() . The representation d is then compared to x manually and/or using a distance measure δ() to obtain a qualitative and/or a quantitative representation mismatch for the decision c(x) about v .
Types of Representation Mismatches
No
Name
Description
Example
Self-Description vs. Input Representation
Additional Aspect
aspect in d absent in x
“vegan, no soy” vs “diet: no soy”
1
Specialization
more detail in d than in x
“nurse” vs “skilled employee”
Additional Subject
subject in d absent in x
“parrot” vs “”
Omitted Aspect
aspect in x absent in d
“vegan” vs “diet: vegan, no soy”
Table 1. Differences between individuals’ input representations x and their self-descriptions d can be classified according to this typology of representation mismatches.
Figure 2. This example illustrates our annotation method for representation mismatch analysis by comparing an input representation x (left) to a generated natural-language self-description d (right). We first segment d into information-bearing units, aiming for exhaustive semantic coverage. We then assign to each unit one or more labels from four label types: (1) a label from x ’s feature set whenever a semantic correspondence exists, (2) an aspect label for any minimal information-bearing unit, (3) a new subject label for semantically coherent information units recurring across different self-descriptions, and (4) a specialization label whenever a feature in x is described in more detail in d .
Model
Generated Self-descriptions
Prompts
x -based
free
x -based
free
gpt-4.1
5 000
5
1 000
1
gpt-4o
5 000
5
1 000
1
o3
5 000
5
1 000
1
llama-3.3-70b-versatile
5 000
5
1 000
1
kimi-k2-instruct
5 000
5
1 000
1
Table 2. Overview of generated self-descriptions and prompts.
Mismatch Type
Average Frequency
(Additional GCD + New Subjects + Aspect Labels) Additional Aspects
Table 3. Averaged frequencies of annotated mismatch types per ( x - d )-pair.
Method
Metric
Pearson’s r
(a)
(b)
(c)
(d)
(e)
(f)
GloVe-wiki-50
Word Mover’s Distance
0.45
0.30
0.37
0.36
0.42
0.48
GloVe-wiki-50-preprocessed
Word Mover’s Distance
0.30
0.11
0.19
0.28
0.28
0.31
GloVe-twitter-200
Word Mover’s Distance
0.48
0.35
0.41
0.38
0.45
0.49
Table 4. Overview of the automatic quantification methods for representation fidelity an their correlation (Pearson’s r ) to the manual quantification results for each annotated Type 1 mismatch component representation fidelity (a), additional GCD (b), additional subjects (c), aspect labels (d), additional aspects (e), and specializations (f).
Figure 3. This visualization of similarities of embedded self-descriptions as implemented in ( Ren et al., 2025 ) . Self-descriptions form clusters depending the large language model that generated them (gpt-4.1, gpt-4o, o3, llama-3.3-70b-versatile, moonshotai/kimi-k2-instruct, qwen/qwen3-32b).
Reasoning representations are increasingly used as explanations for large language model outputs. Yet they are typically evaluated with model-centric criteria, such as answer accuracy and faithfulness, leaving it unclear whether they help people evaluate model responses. In this work, we study reasoning representations as human-facing interfaces rather than proxies for model reasoning ability. We conduct a controlled human study of six reasoning formats across tasks of varying complexity, supported by a web-based framework that randomizes task domains, problem instances, and representation order. The study collects fine-grained judgments of structural understanding, error detection and localization, and trust calibration. Our study shows a mismatch between perceived preference and support for human evaluation. Participants prefer planning- and decomposition-based representations, but simpler chain-of-thought traces better support verification, trust, and interpretability. Preferred representations also introduce calibration risks, with more false alarms on correct traces and high trust despite low willingness to verify.
Jaewoo Lim, Sungbok Shin, Sanghyun Hong
Oregon State University, Corvallis USA · Sogang University, Seoul, South Korea
Large language models (LLMs) show considerable potential in simulating human attitudes and preferences. Prior work finds that LLM-generated responses can compress the range of attitudes found within populations and misrepresent particular subgroups in ways that vary across models and topics. We introduce Population Fidelity, an evaluation framework that distinguishes key conditions required for a set of LLM-generated responses to represent a population. It incorporates three dimensions: group-level accuracy, the amount of between-group variation, and the structure of that variation. We demonstrate the framework's utility in two ways. First, we reproduce a prior study of "machine bias" in LLM survey responses and apply the framework to its models and more recent ones, showing that poor representation reflects not only insufficient between-group variation but also variation assigned to the wrong groups. Second, we evaluate one proposed approach to improving models' population representativeness: cultural fine-tuning. We find that cultural fine-tuning can improve alignment with the survey center without improving the representation of within-population differences, a distinction that measures of aggregate agreement do not capture. We argue that representing a population requires models to reproduce several features of human attitudinal variation simultaneously. Our framework organizes these features and provides reusable code, data, and trained models for evaluating population fidelity across substantive domains and assessing proposed alignment methods.
Neemias B. da Silva, Martin Lukk, Ali Sutani +5
University of Toronto, Canada · Federal University of Technology – Paran´a, Brazil
One of the many fairness definitions pursued in recent recommender system research targets mitigating demographic information encoded in model representations. Models optimized for this definition are typically evaluated on how well demographic attributes can be classified given model representations, with the (implicit) assumption that this measure accurately reflects recommendation parity, i.e., how similar recommendations given to different users are. We challenge this assumption by comparing the amount of demographic information encoded in representations with various measures of how the recommendations differ. We propose two new approaches for measuring how well demographic information can be classified given ranked recommendations. Our results from extensive testing of multiple models on one real and multiple synthetically generated datasets indicate that optimizing for fair representations positively affects recommendation parity, but also that evaluation at the representation level is not a good proxy for measuring this effect when comparing models. We also provide extensive insight into how recommendation-level fairness metrics behave for various models by evaluating their performances on numerous generated datasets with different properties.
Bjørnar Vassøy, Benjamin Kille, Helge Langseth
Norwegian University of Science and Technology, Trondheim, Norway