“The regularized local markers eliminate the obstructive boundary irregularities successfully, and give rise to the desired global topological invariants such as the Chern number consistently when integrated over all the lattice sites.”

“During stable market conditions, LLM-weighted portfolios frequently outperformed sector indices... However, during the volatile period, many LLM portfolios underperformed.”

“The paper demonstrates the validity of the bosonic Bott indices of values larger than 1 in multi-band magnonic systems.”

“The Hilbert-VLM model achieves a Dice score of 82.35 percent on the BraTS2021 segmentation benchmark, with a diagnostic classification accuracy (ACC) of 78.85 percent.”

“GCA-ResUNet achieves Dice scores of 86.11% and 92.64% on Synapse and ACDC benchmarks, respectively, outperforming a range of representative CNN and Transformer-based methods.”

“The method achieved superior performance compared to state-of-the-art methods on BraTS2020, with average Dice scores of 87.55, 79.36, and 62.67 for WT, TC, and ET, respectively, across fifteen missing modality combinations.”

“sCTs achieved 99% structural similarity and a Frechet inception distance of 1.01 relative to real CTs. Skull segmentation attained an average Dice coefficient of 85% across seven cranial bones, and sutures achieved 80% Dice.”

“The paper defines “axiomatic convergence” as a measurable reduction in inter-run and inter-model variability when generation is repeatedly performed under stable invariants and evaluation rules applied consistently across repeated trials.”

“The paper defines “axiomatic convergence” as a measurable reduction in inter-run and inter-model variability when generation is repeatedly performed under stable invariants and evaluation rules applied consistently across repeated trials.”

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“SwinTF3D achieves competitive Dice and IoU scores across multiple organs, despite its compact architecture.”

“DICE achieves 85.7% agreement with human experts, substantially outperforming existing LLM-based metrics such as RAGAS.”

“The paper reports high Dice Similarity Coefficients (DSC) for whole tumor (WT), enhancing tumor (ET), and tumor core (TC) across multiple BraTS datasets, indicating improved segmentation accuracy.”

“JParc achieves a Dice score greater than 90% on the Mindboggle dataset.”

“Debugging and refinement are often described as "rolling the dice."”

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“The paper introduces a two-tier descriptor set-the predictive index (I_pre) and the thermodynamic locking criterion (I_lock)-to quantify the energetic sufficiency for locked epitaxy.”

“The jointly trained model achieves Tumor Dice scores of 76.7% on CT and 78.3% on MRI, significantly exceeding the strong unimodal nnU-Net baseline.”

“Prior-AttUNet achieves excellent performance across three OCT imaging devices (Cirrus, Spectralis, and Topcon), with mean Dice similarity coefficients of 93.93%, 95.18%, and 93.47%, respectively.”

“Spectral indices show significant positive correlations with both atomic number Z and mass number A, likely due to A or Z-dependent fragmentation cross-sections.”

“Our approach leverages an intermediate spherical coordinate space to bridge anatomical surface topology with volumetric anatomy, enabling consistent and anatomically accurate alignment.”

“The article is based on a research paper from ArXiv, suggesting it's a preliminary publication or a pre-print.”

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“The article's focus is on robust long-term forecasting of global stock indices for investment decisions.”

“The research is published on ArXiv.”

“Without specific quotes from the article, it's impossible to provide a relevant one. This section would ideally contain a direct quote illustrating the core argument or a key finding.”

“We dig into her ICML 2025 Outstanding Paper Award winner, “Roll the dice & look before you leap: Going beyond the creative limits of next-token prediction,” which examines why LLMs struggle with generating truly novel ideas.”

“We found that ChatGPT responses exhibit consistent and pervasive biases against non-“standard” varieties, including increased stereotyping and demeaning content, poorer comprehension, and condescending responses.”

“The article doesn't contain a direct quote, but it mentions the project "In Codice Ratio" aims to annotate and transcribe Vatican secret archive documents via machine learning.”