As Large Language Models (LLMs) become increasingly widespread, understanding how specific training data shapes their outputs is crucial for transparency, accountability, privacy, and fairness. To explore how LLMs leverage and replicate their training data, we introduce a systematic approach centered on analyzing low-perplexity sequences—high-probability text spans generated by the model. Our pipeline reliably extracts such long sequences across diverse topics while avoiding degeneration, then traces them back to their sources in the training data. Surprisingly, we find that a substantial portion of these low-perplexity spans cannot be mapped to the corpus. For those that do match, we quantify the distribution of occurrences across source documents, highlighting the scope and nature of verbatim recall and paving a way toward better understanding of how LLMs training data impacts their behavior.

Since the release of ChatGPT, Large Langauge Models (LLMs) have been proposed as potential tutors to students in the education outcomes. Such an LLM-as-tutors metaphor is problematic, notably due to the counterfactual generation, perception of learned skills as mastered by an automated system and hence non-valuable, and learning LLM over-reliance.We propose instead the LLM-as-mentee tutoring schema, leveraging the Learning-by-Teaching protégé effect in peer tutoring - LLM Protégés. In this configuration, counterfactual generation is desirable, allowing students to operationalize the learning material and better understand the limitations of LLM-based systems, both a skill in itself and an additional learning motivation. Our preliminary results suggest that LLM Protégés are effective. Students in an introductory algorithms class who successfully diagnosed an LLM teachable agent system prompted to err on a course material gained an average of 0.72 points on a 1-6 scale. Remarkably, if fully adopted, this approach would reduce the failure rate in the second midterm from 28% to 8%, mitigating 72% of midterm failure.We publish code for on-premises deployment of LLM Protégés on https://github.com/Reliable-Information-Lab-HEVS/LLM_Proteges.

In this paper we address the problem of fine-tuned text generation with a limited computational budget. For that, we use a well-performing text generative adversarial network (GAN) architecture - Diversity-Promoting GAN (DPGAN), and attempted a drop-in replacement of the LSTM layer with a self-attention-based Transformer layer in order to leverage their efficiency. The resulting Self-Attention DPGAN (SADPGAN) was evaluated for performance, quality and diversity of generated text and stability. Computational experiments suggested that a transformer architecture is unable to drop-in replace the LSTM layer, under-performing during the pre-training phase and undergoing a complete mode collapse during the GAN tuning phase. Our results suggest that the transformer architecture need to be adapted before it can be used as a replacement for RNNs in text-generating GANs.