Organizations: East China Normal University, Shanghai, China · The Hong Kong University of Science and Technology (Guangzhou), Guangzhou, China · Shanghai Innovation Institute, Shanghai, China
Student Personas (SPs) are emerging as infrastructure for educational LLMs, yet prior work often relies on ad-hoc prompting or hand-crafted profiles with limited control over educational theory and population distributions. We formalize this as Theory-Aligned and Distribution-Controllable Persona Generation (TAD-PG) and introduce HACHIMI, a multi-agent Propose-Validate-Revise framework that generates theory-aligned, quota-controlled personas. HACHIMI factorizes each persona into a theory-anchored educational schema, enforces developmental and psychological constraints via a neuro-symbolic validator, and combines stratified sampling with semantic deduplication to reduce mode collapse. The resulting HACHIMI-1M corpus comprises 1 million personas for Grades 1-12. Intrinsic evaluation shows near-perfect schema validity, accurate quotas, and substantial diversity, while external evaluation instantiates personas as student agents answering CEPS and PISA 2022 surveys; across 16 cohorts, math and curiosity/growth constructs align strongly between humans and agents, whereas classroom-climate and well-being constructs are only moderately aligned, revealing a fidelity gradient. All personas are generated with Qwen2.5-72B, and HACHIMI provides a standardized synthetic student population for group-level benchmarking and social-science simulations. Resources available at https://github.com/ZeroLoss-Lab/HACHIMI
Figures & tables
Figure 1: HACHIMI pipeline overview. From target distributions (grade/gender/academic level), steps (1)–(5) produce the HACHIMI-1M corpus.
Figure 2: Immersive role-playing prompt template used for HACHIMI student agents when answering CEPS- and PISA-based shadow surveys.
Figure 3: Pearson r and Spearman ρ between human and HACHIMI cohort means for each CEPS target.
Figure 4: Distribution of Pearson correlations between human and agent group means on PISA 2022.
Metric
Baseline
HACHIMI
Δ
Hard error rate ( ↓ )
12.03%
0.00%
−12.03
Warning rate ( ↓ )
25.33%
0.82%
−24.51
Distinct-1 ( ↑ )
0.2328
0.3285
+0.0957
Distinct-2 ( ↑ )
0.4589
0.7893
+0.3304
Near-duplicate pairs ( ↓ )
157
0
−157
Table 1: Protocol-matched intrinsic comparison.
Appendix figures & tables12 assets
Supplementary material from the paper’s appendix.
Appendix
Field
Responsible Agent
id
System
Name
Enrollment & Development
Age
Enrollment & Development
Gender
Enrollment & Development
Grade
Enrollment & Development
Developmental Stage
Enrollment & Development
Appendix
Table 2: Field-to-agent responsibility mapping in the HACHIMI multi-agent system.
ID
Rule
R1
Age–grade norm: Grade 1–12 should approximately align with ages 6–18, allowing at most ±1 year deviation.
R2
Developmental-stage plausibility: Piaget, Erikson, and Kohlberg stage labels must remain broadly compatible with the student’s age band.
R3
Strong Subjects and Weak Subjects must both be non-empty and mutually disjoint.
R4
The eight creativity dimensions must show variation rather than identical levels; if feasibility is relatively low/low, proposing solutions cannot exceed a mid-level rating.
R5
If the values field presents stable positive physical/mental health, the mental-health field must not describe severe functional impairment or heavy clinical pathology.
Table 3: Executable validator rules used in HACHIMI generation.
Field
Content
Name (pseudonym)
Shihan Wang
Agent ID
wang2_shi1han2
Age / Gender
13 / Female
Grade
Grade 7 (Junior Year 1)
Academic standing
Low; bottom 50% in school ranking
Strengths
Art
Appendix
Table 4: One example persona (English translation from the original Chinese record).
Academic Level counts
Gender counts
Grade
High
Medium
Low
Poor
Male
Female
Total
1
21,154
20,942
21,257
21,182
42,197
42,338
84,535
2
21,298
21,026
21,150
21,165
42,192
42,447
84,639
3
21,116
21,329
21,111
21,240
42,306
42,490
84,796
4
21,234
21,093
20,909
20,749
41,962
42,023
83,985
5
21,267
20,632
21,226
21,249
42,237
42,137
84,374
Appendix
Table 5: Offline summary of HACHIMI-1M by grade, academic level, and gender.
Metric
Value
Notes
# personas
151,426
merged corpus size
Error rate
0.0000
fraction with ≥1 hard error
Warning rate
0.0006
fraction with ≥1 warning
Distinct-1
0.4044
over values/creativity/psychology
Distinct-2
0.8296
over values/creativity/psychology
Near-duplicate pairs
0
SimHash, Hamming ≤T
Appendix
Table 7: Summary of intrinsic metrics on 151,426 HACHIMI personas.
Variable
KL Divergence
Grade
0.0001
Gender
0.0000
Academic level
0.0000
Appendix
Table 8: KL divergence between target quotas and empirical distributions.
Figure 5: Distribution of paragraph lengths (in characters) across the three long-text components. The solid curves represent kernel density estimates (KDE), and the dashed lines indicate the means. The distributions show that the generation process exercises tight control over output lengths, centered around the target specifications.
Component
Pearson r
Values
0.7671
Creativity
0.8997
Mental health
0.8380
Appendix
Table 9: Text-derived alignment between academic level and component scores.
Figure 6: Distribution of Pearson correlations between human and agent group means on PISA 2022, summarized by construct family (each violin aggregates all constructs within a family across the five regions; individual construct points are jittered).
Figure 7: Heatmap of Pearson correlations between human and agent group means on PISA 2022. Constructs are ordered by latent family, highlighting the high-consistency math/curiosity block and the lower-consistency well-being and workload block.
Construct
Description
East Asia
S. Europe
Lat. Am.
Mid. East
W. Europe
Math Effort & Efficacy
MATHEFF
Mathematics self-efficacy: formal and applied mathematics - response options reversed in 2022 (WLE)
0.95
0.98
0.97
0.97
0.97
MATHEASE
Perception of Mathematics as easier than other subjects
0.83
0.81
0.72
0.91
0.85
MATHEF21
Mathematics self-efficacy: mathematical reasoning and 21st century skills (WLE)
0.77
0.77
0.90
0.89
0.78
MATHPREF
Preference of Math over other core subjects
0.83
0.92
0.60
0.90
0.85
MATHPERS
Effort and Persistence in Mathematics (WLE)
0.85
0.70
0.76
0.86
0.79
Appendix
Table 10: Cross-regional consistency of Pearson correlations ( r ) between human and agent group means on PISA 2022. Constructs are grouped by family. Bold indicates strong alignment ( r≥0.80 ); gray indicates negative alignment. Descriptions follow official PISA 2022 variable definitions.
Metric
HACHIMI
Baseline
Notes
# personas
10,000
10,000
merged corpus size
Error rate
0.0000
0.1203
fraction with ≥1 hard error
Warning rate
0.0082
0.2533
fraction with ≥1 warning
Distinct-1
0.3285
0.2328
over values/creativity/psychology
Distinct-2
0.7893
0.4589
over values/creativity/psychology
Near-duplicate pairs
0
157
SimHash, Hamming ≤T
Appendix
Table 11: Summary of intrinsic metrics for HACHIMI personas vs. the matched one-shot single-model baseline.
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