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Disproving the Feasibility of Learned Confidence Calibration Under Binary Supervision: An Information-Theoretic Impossibility

arXiv:2509.14386v1 Announce Type: new Abstract: We prove a fundamental impossibility theorem: neural networks cannot simultaneously learn well-calibrated confidence estimates with meaningful diversity when trained using binary correct/incorrect supervision. Through rigorous mathematical analysis and comprehensive empirical evaluation spanning negative reward training,…

Real-Time Streaming Mel Vocoding with Generative Flow Matching

arXiv:2509.15085v1 Announce Type: cross Abstract: The task of Mel vocoding, i.e., the inversion of a Mel magnitude spectrogram to an audio waveform, is still a key component in many text-to-speech (TTS) systems today. Based on generative flow matching, our prior…

LiMuon: Light and Fast Muon Optimizer for Large Models

arXiv:2509.14562v1 Announce Type: new Abstract: Large models recently are widely applied in artificial intelligence, so efficient training of large models has received widespread attention. More recently, a useful Muon optimizer is specifically designed for matrix-structured parameters of large models. Although…

Evidential Physics-Informed Neural Networks for Scientific Discovery

arXiv:2509.14568v1 Announce Type: new Abstract: We present the fundamental theory and implementation guidelines underlying Evidential Physics-Informed Neural Network (E-PINN) — a novel class of uncertainty-aware PINN. It leverages the marginal distribution loss function of evidential deep learning for estimating uncertainty…