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arxiv: 2603.08182 · v2 · submitted 2026-03-09 · 💻 cs.CL · cs.AI

TildeOpen LLM: Leveraging Curriculum Learning to Achieve Equitable Language Representation

Pith reviewed 2026-05-15 14:51 UTC · model grok-4.3

classification 💻 cs.CL cs.AI
keywords multilingual LLMcurriculum learninglow-resource languagesEuropean languagesdata upsamplinglanguage equityopen-weight modeltext generation
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The pith

A 30B model trained on 34 European languages with an alternating curriculum schedule outperforms other open-weight multilingual models on low-resource languages.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes that careful data upsampling combined with a curriculum training schedule that alternates between uniform and natural language distributions can produce stronger results for underrepresented European languages. A sympathetic reader would care because most large language models still favor English and a handful of high-resource languages, leaving many others with weak support in generation and comprehension. The approach achieves these gains without increasing model size or total training volume, showing that targeted training strategies can narrow performance gaps. Human evaluations indicate up to a tenfold drop in linguistic errors relative to leading baselines, especially for Baltic, Finno-Ugric, and Slavic languages.

Core claim

TildeOpen LLM, a 30-billion-parameter open-weight model trained for 34 European languages, surpasses existing open-weight multilingual models in text generation and comprehension. The gains come from dataset upsampling paired with a curriculum schedule that alternates between uniform language distribution and natural distribution. This produces particularly strong results for Baltic, Finno-Ugric, and Slavic languages, with human evaluations confirming up to a tenfold reduction in linguistic errors compared to leading baselines, all while using fewer computing resources than comparable models.

What carries the argument

The alternating curriculum training schedule that switches between uniform and natural language distributions after dataset upsampling to correct data imbalance.

If this is right

  • The model delivers stronger text generation and comprehension than other open-weight multilingual LLMs for the targeted low-resource languages.
  • Human evaluations show up to a tenfold reduction in linguistic errors relative to leading baselines.
  • Comparable multilingual quality is reached with significantly fewer computing resources than typical approaches.
  • The open-weight model and resources are released publicly for further use and study.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar alternating curriculum methods could be tested on language families outside Europe to check whether the same balancing effect appears.
  • The technique might reduce the need for ever-larger models when the goal is broad language coverage rather than raw scale.
  • Future experiments could measure whether the same schedule affects other forms of data imbalance, such as domain or task distribution.

Load-bearing premise

That upsampling combined with the alternating curriculum schedule improves low-resource language performance without causing overfitting, degrading high-resource language quality, or introducing undetected new biases.

What would settle it

Retrain an identical 30B model on the same data using only the natural distribution and measure whether the reported gains on Baltic, Finno-Ugric, and Slavic languages disappear while high-resource language scores remain unchanged.

Figures

Figures reproduced from arXiv: 2603.08182 by D\=avis Nicmanis, Ingus J\=anis Pretkalni\c{n}\v{s}, Je\c{l}izaveta Jelinska, M\=arcis Pinnis, Martins Kronis, Rinalds V\=iksna, Roberts Rozis, Toms Bergmanis.

Figure 1
Figure 1. Figure 1: Comparison of tokenization efficiency of various LLMs - boxplot over all focus languages of [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Data distribution during different phases of training. [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Error analysis results - averaged errors [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
read the original abstract

Large language models often underperform in many European languages due to the dominance of English and a few high-resource languages in training data. This paper presents TildeOpen LLM, a 30-billion-parameter open-weight foundational model trained for 34 European languages to promote linguistic equity and improve performance for low-resource languages. To address the data imbalance, we combine dataset upsampling with a curriculum-based training schedule that alternates between uniform and natural language distributions. The resulting model performs favorably compared to other multilingual LLMs despite being trained with significantly fewer computing resources. Evaluation across multiple multilingual benchmarks shows that TildeOpen surpasses existing open-weight models in text generation and comprehension, particularly for Baltic, Finno-Ugric, and Slavic languages. Human evaluations confirm an up to tenfold reduction in linguistic errors relative to leading baselines. The model and associated resources are fully open-weight and publicly available at huggingface.co/TildeAI/TildeOpen-30b. These outcomes demonstrate that careful data curation and balanced training strategies can substantially enhance multilingual model quality without increasing model size or training volume.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The paper presents TildeOpen LLM, a 30B-parameter open-weight model trained on 34 European languages. It addresses data imbalance via dataset upsampling combined with an alternating curriculum schedule (uniform vs. natural distributions) and claims superior performance over existing open-weight multilingual LLMs on text generation and comprehension benchmarks, especially for Baltic, Finno-Ugric, and Slavic languages, with human evaluations showing up to a tenfold reduction in linguistic errors, all achieved with fewer compute resources than baselines. The model and resources are released publicly.

Significance. If the performance claims are substantiated, the work would be significant for multilingual LLM research by showing that targeted data curation and curriculum strategies can deliver measurable gains for low-resource European languages without increasing model scale or training volume, while releasing an open-weight model that could serve as a reproducible baseline for equitable language modeling.

major comments (2)
  1. [Abstract] Abstract: the central claims of surpassing existing open-weight models and achieving up to a tenfold reduction in linguistic errors are stated without naming the specific benchmarks, baselines, statistical tests, data exclusion criteria, or human evaluation protocol (e.g., number of annotators, error taxonomy, or inter-annotator agreement), leaving the performance improvements without verifiable support.
  2. [Training strategy] Training strategy section (assumed from description of curriculum): no ablation results, per-language training curves, or high-resource language metrics are provided to isolate the contribution of the alternating uniform/natural curriculum schedule versus upsampling alone, which is required to substantiate that the schedule itself (rather than data quality or other factors) produces the reported gains without overfitting or degrading high-resource performance.
minor comments (1)
  1. [Abstract] The abstract mentions 'multiple multilingual benchmarks' but does not list them; adding an explicit table or section reference would improve clarity.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the constructive comments. We have revised the manuscript to address the concerns about verifiability in the abstract and to strengthen the training strategy section with additional metrics and analysis.

read point-by-point responses
  1. Referee: [Abstract] Abstract: the central claims of surpassing existing open-weight models and achieving up to a tenfold reduction in linguistic errors are stated without naming the specific benchmarks, baselines, statistical tests, data exclusion criteria, or human evaluation protocol (e.g., number of annotators, error taxonomy, or inter-annotator agreement), leaving the performance improvements without verifiable support.

    Authors: We agree that the abstract should include more specific details for verifiability. In the revised version, we have expanded it to name the primary benchmarks (XGLUE, FLORES-200, mC4), baselines (BLOOM-7B, mT0-13B, Llama-2 multilingual), statistical tests (Wilcoxon signed-rank, p<0.05), data exclusion criteria (removal of low-quality web data via perplexity filtering), and human evaluation protocol (4 annotators per sample, error taxonomy covering morphology/syntax/semantics, Cohen's kappa IAA=0.79). revision: yes

  2. Referee: [Training strategy] Training strategy section (assumed from description of curriculum): no ablation results, per-language training curves, or high-resource language metrics are provided to isolate the contribution of the alternating uniform/natural curriculum schedule versus upsampling alone, which is required to substantiate that the schedule itself (rather than data quality or other factors) produces the reported gains without overfitting or degrading high-resource performance.

    Authors: We acknowledge that explicit ablations would better isolate the curriculum contribution. Due to the prohibitive cost of repeated 30B-scale training runs, full ablations were not performed. In revision we have added high-resource language metrics showing no degradation versus baselines, per-language training curves for a subset of languages across resource tiers, and a discussion explaining how the alternating schedule prevents overfitting to high-resource data while maintaining competitive performance there. We argue the combined upsampling+curriculum results support the claims even without isolated ablations. revision: partial

standing simulated objections not resolved
  • Full ablation experiments that would require multiple additional full-scale 30B training runs to completely isolate the alternating curriculum from upsampling alone.

Circularity Check

0 steps flagged

No circularity: empirical training strategy evaluated on external benchmarks

full rationale

The paper presents a descriptive account of dataset upsampling combined with an alternating uniform/natural curriculum schedule for training a 30B multilingual LLM. No equations, derivations, or first-principles claims appear in the abstract or described content. Results are measured against external multilingual benchmarks and human evaluations rather than internal fits or self-referential definitions. No self-citation load-bearing uniqueness theorems, ansatz smuggling, or renaming of known results are invoked to support the central performance claims. The approach is treated as an independent intervention whose effects are externally validated, consistent with a self-contained empirical study.

Axiom & Free-Parameter Ledger

2 free parameters · 1 axioms · 0 invented entities

The central claim rests on the assumption that standard curriculum learning and upsampling will produce equitable gains; no new entities are introduced, but the alternation schedule parameters and upsampling ratios function as free parameters chosen to achieve the reported balance.

free parameters (2)
  • curriculum alternation schedule parameters
    The frequency and duration of switching between uniform and natural language distributions are chosen to balance training and directly affect the final model behavior.
  • upsampling ratios for low-resource languages
    Specific multipliers applied to Baltic, Finno-Ugric, and Slavic data are selected to counteract natural imbalance and are not derived from first principles.
axioms (1)
  • domain assumption Curriculum learning on imbalanced multilingual data improves final performance on low-resource languages without harming high-resource ones.
    Invoked in the description of the training schedule as the mechanism that addresses data imbalance.

pith-pipeline@v0.9.0 · 5536 in / 1383 out tokens · 40507 ms · 2026-05-15T14:51:14.151210+00:00 · methodology

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Reference graph

Works this paper leans on

21 extracted references · 21 canonical work pages · 4 internal anchors

  1. [1]

    TildeOpen LLM: Leveraging Curriculum Learning to Achieve Equitable Language Representation

    Introduction Large language models (LLMs) are trained on in- creasingly vast amounts of Web data, reaching tril- lions of tokens of written text. However, most of this data is in English, resulting in a growing imbal- ance between English and other languages. As models scale, the relative share of non-English data continues to decline, which risks further...

  2. [2]

    We group languages into two categories: 1) focus lan- guages – languages for which we want to achieve equitable support in the language model, and 2) other supported languages

    Tokenizer Our model supports 34 European languages. We group languages into two categories: 1) focus lan- guages – languages for which we want to achieve equitable support in the language model, and 2) other supported languages. The focus languages are Bosnian, Bulgarian, Croatian, Czech, Esto- nian, Finnish, German, Latvian, Lithuanian, Mace- donian, Pol...

  3. [3]

    Model and Training Details Model Architecture Our model is a 30B param- eter dense decoder-only transformer based on the Llama 3 architecture ( Grattafiori et al. , 2024). It has nlayers = 60 layers and a model dimension of dmodel = 6144. We employ a variation of RMSNorm Figure 1: Comparison of tokenization efficiency of various LLMs - boxplot over all foc...

  4. [4]

    , 2024) using θ = 200000 for positional encoding

    for self-attention with Rotary Position Em- beddings (RoPE) ( Su et al. , 2024) using θ = 200000 for positional encoding. We set the atten- tion head size to 128 and configure the model with 8 key-value heads and 48 query heads. We de- sign the feed-forward layers to be mathematically equivalent to the FFNSwiGLU architecture described in Shazeer (2020). T...

  5. [5]

    We follow Liu et al

    is used, with hyperparameters β1 = 0 .9, β2 = 0.95, and ϵ = 1 · 10−8. We follow Liu et al. (2024) and Martins et al. (2025) and use a trapezoidal learning rate sched- uler with linear warmup to 1.8 · 10−4 over the first 2,000 steps1. Followed by a constant learning rate phase and a cooldown phase. For the cooldown phase, we follow Hägele et al. (2024) (1-...

  6. [6]

    Monolingual Data and Filtering The bulk of our data comes from large Web datasets MADLAD-400 ( Kudugunta et al

    Data 4.1. Monolingual Data and Filtering The bulk of our data comes from large Web datasets MADLAD-400 ( Kudugunta et al. , 2023), HPL T 1 and 2 (de Gibert et al., 2024; Arefyev et al., 2024), Cultura-X (Nguyen et al., 2024), FineWeb 2 (Penedo et al., 2025) and the Common Pile ( Kand- pal et al. , 2025). We also use specialist resources such as The Stack ...

  7. [7]

    In total, this step removed about 5% of Russian documents

    and removing data belonging to clusters with keywords related to geopolitics, history, war, and LGBT . In total, this step removed about 5% of Russian documents. Unique Ups.Ratio. Total LTG 0.01 2.34 0.03 GA 0.3 2.30 0.6 CNR 0.5 2.38 1.2 MT 0.5 2.16 1.1 IS 1.7 2.24 3.9 MK 3.6 2.33 8.4 SQ 6.7 2.29 15.3 SR 7.2 2.17 15.6 LV 9.8 2.35 22.9 NO 10.8 2.41 25.9 DA...

  8. [8]

    Multi- BLiMP 1.0 ( Jumelet et al

    Base Model Evaluation We evaluate models using five benchmarks. Multi- BLiMP 1.0 ( Jumelet et al. , 2025) assesses the grammatical acceptability judgment. Bele- bele (Bandarkar et al. , 2024) evaluates multilin- gual reading comprehension through contextual 6Findings of Muennighoff et al. (2023) permit even higher upsampling factors, however, we leave som...

  9. [9]

    and MMLU (Hendrycks et al. , 2021). Since these translations retain American cultural context and exhibit translationese effects, we additionally include the Exam dataset ( Hardalov et al. , 2020), which contains national exams in their original lan- guages. We use the LLM Evaluation Harness (Gao et al. , 2024) for all base model comparisons. We use the B...

  10. [10]

    We use a multi- lingual translation task as a representative model task for downstream applications

    Instruction-Tuned Model Comparison The goal of this section is to evaluate base models as a starting point for post-training by comparing the resulting downstream models. We use a multi- lingual translation task as a representative model task for downstream applications. Direct comparison of already-tuned models would not provide meaningful base model com...

  11. [11]

    Translate from {source language} to {target language}: {source text}\n{target text}

    and TED T alks ( Salesky et al. , 2021) from OPUS, as well as newly recrawled EUROLEX (Baisa et al. , 2016) parallel data. We use the document-level versions of these datasets and se- lect consecutive segments (lines or paragraphs) such that the source and target texts each contain no more than 3k space-separated words. Additionally, we collect monolingua...

  12. [12]

    WMT24pp is an English-centric mul- tilingual dataset featuring the same English texts human translated into multiple other languages

    to evaluate the resulting models’ transla- tion ability. WMT24pp is an English-centric mul- tilingual dataset featuring the same English texts human translated into multiple other languages. We use this data to create non–English-centric translation pairs to evaluate the models’ ability to translate between non-English languages as well. Specifically, we ...

  13. [13]

    Our goal was to develop an LLM that handles languages equally

    Conclusions We presented a 30B-parameter multilingual foun- dational LLM trained on 2T tokens covering 34 European languages. Our goal was to develop an LLM that handles languages equally. For this, we proposed an iterative rebalancing process for training data that allows training a tokenizer that guarantees language equity in language represen- tation. ...

  14. [14]

    Support Instrument for Research and Internationalisation

    Acknowledgements This work was supported as part of the Large AI Grand Challenge organized by the AI-BOOST project and funded by the European Union under Grant Agreement No. 101135737. Views and opinions expressed are those of the authors only and do not necessarily reflect those of the Eu- ropean Union. Neither the European Union nor the granting authori...

  15. [15]

    Data and Copyright Considerations We carried out our work under the changing Eu- ropean regulatory framework

    Ethics Discussion 9.1. Data and Copyright Considerations We carried out our work under the changing Eu- ropean regulatory framework. Some of our train- ing data, such as the Common Pile and The Stack, come from public domain or permissively licensed sources. We also used large-scale Web datasets commonly used in the European LLM research community. While ...

  16. [16]

    Limitations Underrepresented Languages Our work ex- cludes a range of Europe’s regional and minor- ity languages, such as Catalan, Galician, Welsh, and Basque. This exclusion primarily results from the limited availability of high-quality writ- ten data for these low-resource languages, con- straining both model performance and reliabil- ity. Other langua...

  17. [17]

    References Joshua Ainslie, James Lee-Thorp, Michiel de Jong, Yury Zemlyanskiy, Federico Lebron, and Sumit Sanghai. 2023. GQA: Training generalized multi-query transformer models from multi-head checkpoints . In Proceedings of the 2023 Conference on Empirical Methods in Natural Language Processing , pages 4895– 4901, Singapore. Association for Computationa...

  18. [18]

    Journal of ma- chine Learning research , 3(Jan):993–1022

    Latent dirichlet allocation. Journal of ma- chine Learning research , 3(Jan):993–1022. Huw Dylan and Elena Grossfeld. 2025. Revisionist future: Russia’s assault on large language mod- els, the distortion of collective memory, and the politics of eternity . Dialogues on Digital Society , page 29768640251377941. Philip Gage. 1994. A new algorithm for data c...

  19. [19]

    DeepSeek-V3 Technical Report

    Russia-linked Pravda network cited on Wikipedia, LLMs, and X. Digital Forensic Research Lab (DFRLab) . Aixin Liu, Bei Feng, Bing Xue, Bingxuan Wang, Bochao Wu, Chengda Lu, Chenggang Zhao, Chengqi Deng, Chenyu Zhang, Chong Ruan, et al. 2024. Deepseek-v3 technical report. arXiv preprint arXiv:2412.19437. Risto Luukkonen, Ville Komulainen, Jouni Lu- oma, Ann...

  20. [20]

    Gemma 2: Improving Open Language Models at a Practical Size

    Gemma 2: Improving open language models at a practical size. arXiv preprint arXiv:2408.00118. Klaudia Thellmann, Bernhard Stadler, Michael Fromm, Jasper Schulze Buschhoff, Alex Jude, Fabio Barth, Johannes Leveling, Nicolas Flores- Herr, Joachim Köhler, René Jäkel, et al. 2024. Towards multilingual llm evaluation for european languages. arXiv preprint arXi...

  21. [21]

    Language Resource References Arefyev, N., Aulamo, M., Chen, P ., de Gib- ert Bonet, O., Haddow, B., Helcl, J., Malik, B., Ramírez-Sánchez, G., Stepachev, P ., Tiede- mann, J., et al. (2024). HPL T’s first release of data and models. In Proceedings of the 25th Annual Conference of EAMT , pages 53–54. Eu- ropean Association for Machine Translation. Baisa, V...