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Korea Institute for Advanced Study

Academic institutionasia · kr
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Research library58linked papers
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Selected work

Representative Papers

Leveraging Priors via Diffusion Bridge for Time Series Generation

Aug 13, 2024arXiv.org

Standard Gaussian diffusion priors struggle to capture temporal structures, scale sensitivity, and fixed-point constraints inherent in time series. To address this, we propose TimeBridge—a novel framework that systematically introduces data- and time-dependent priors alongside scale-preserving constraint priors, enabling a learnable diffusion bridge mechanism for probabilistic transport from adaptive priors to the target data distribution. TimeBridge unifies unconditional and conditional generation, offering both flexibility and precise controllability. Evaluated on multiple benchmark time-series datasets, it achieves state-of-the-art performance in generation diversity, fidelity, and temporal consistency—significantly outperforming existing diffusion-based baselines.

6 citations2 influentialRead paper

Semi-Autonomous Mathematics Discovery with Gemini: A Case Study on the Erd\H{o}s Problems

Jan 29, 2026

This work proposes a semi-autonomous discovery framework that integrates artificial intelligence with human expertise to investigate 700 mathematical conjectures labeled as “open” in Bloom’s Erdős Problem Database. Leveraging the Gemini large language model for natural language reasoning and automated literature comparison as an initial screening step, candidate solutions are subsequently evaluated by domain experts for correctness and novelty. The study reveals that many problems deemed “open” stem not from intrinsic difficulty but from challenges in literature retrieval—termed “information occlusion.” Among the 13 problems successfully resolved, five yielded novel AI-generated solutions, while eight were traced to previously published results. This research represents the first large-scale demonstration of human–AI collaborative verification in mathematical conjectures and highlights the risk of “unconscious plagiarism” inherent in AI-assisted scholarly discovery.

2 citationsRead paper
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