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HuAMR: a Hungarian AMR Parser and Dataset
We present HuAMR, the first Abstract Meaning Representation (AMR) dataset and a suite of large language model-based AMR parsers for Hungarian, targeting the scarcity of semantic resources for non-English languages. To create HuAMR, we employed Llama-3.1-70B to automatically generate silver-standard AMR annotations, which we then refined manually to ensure quality. Building on this dataset, we investigate how different model architectures — mT5 Large and Llama3.2-1B — and fine-tuning strategies affect AMR parsing performance. While incorporating silver-standard AMRs from Llama-3.1-70B into the training data of smaller models does not consistently boost overall scores, our results show that these techniques effectively enhance parsing accuracy on Hungarian news data (the domain of HuAMR). We evaluate our parsers using Smatch scores and confirm the potential of HuAMR and our parsers for advancing semantic parsing research
Existence and multiplicity of solutions for a p-Laplacian fractional system with logarithmic nonlinearity
Existence of solutions for discontinuous systems of Stieltjes differential equations
We introduce new transversality conditions in terms of derivatives with respect to a nondecreasing function g : R −→ R, and we use them to prove the existence of solutions for discontinuous systems of Stieltjes differential equations, i.e. differential equations where usual derivatives are replaced with derivatives with respect to the derivator g. The proof of our main existence result leans on some interesting new results on g-derivatives also proven in this paper