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We study the limiting dynamics of a large class of noisy gradient descent systems in the overparameterized regime. In this regime the set of global minimizers of the loss is large, and when initialized in a neighbourhood of this zero-loss…

Machine Learning · Computer Science 2024-04-19 Anna Shalova , André Schlichting , Mark Peletier

The efficiency of large language models (LLMs) is fundamentally limited by their sequential, token-by-token generation process. We argue that overcoming this bottleneck requires a new design axis for LLM scaling: increasing the semantic…

Computation and Language · Computer Science 2025-11-03 Chenze Shao , Darren Li , Fandong Meng , Jie Zhou

The analysis of the channel capacity in the absence of prior channel knowledge (noncoherent channel) has gained increasing interest in recent years, but it is still unknown for the general case. In this paper we derive bounds on the…

Information Theory · Computer Science 2011-07-05 Itsik Bergel , Sergio Benedetto

We propose a unified mixture sampler (UMS) that provides a universal estimation framework for nonlinear state-space models with "exp-exp" likelihood kernels. Unlike existing methods that require deriving new mixture approximations for each…

Methodology · Statistics 2026-04-07 Daichi Hiraki , Yasuhiro Omori

The current paper proposes a novel variational Bayes predictive coding RNN model, which can learn to generate fluctuated temporal patterns from exemplars. The model learns to maximize the lower bound of the weighted sum of the…

Artificial Intelligence · Computer Science 2017-09-18 Ahmadreza Ahmadi , Jun Tani

We consider a pair of stochastic integrate and fire neurons receiving correlated stochastic inputs. The evolution of this system can be described by the corresponding Fokker-Planck equation with non-trivial boundary conditions resulting…

Neurons and Cognition · Quantitative Biology 2010-12-14 Robert Rosenbaum , Jianfu Ma , Fabien Marpeau , Aditya Barua , Kresimir Josic

In this paper, we address the problem of multichannel speech enhancement in the short-time Fourier transform (STFT) domain. A long short-time memory (LSTM) network takes as input a sequence of STFT coefficients associated with a frequency…

Sound · Computer Science 2020-09-24 Xiaofei LI , Radu Horaud

In this paper, we propose a sub-utterance unit selection framework to remove acoustic segments in audio recordings that carry little information for acoustic scene classification (ASC). Our approach is built upon a universal set of acoustic…

Audio and Speech Processing · Electrical Eng. & Systems 2020-08-04 Hu Hu , Sabato Marco Siniscalchi , Yannan Wang , Xue Bai , Jun Du , Chin-Hui Lee

A numerical model based on the finite-difference time-domain method is developed to simulate fluctuations which accompany the dephasing of atomic polarization and the decay of excited state's population. This model is based on the…

Optics · Physics 2009-08-31 Jonathan Andreasen , Hui Cao

We study the use of the Wave-U-Net architecture for speech enhancement, a model introduced by Stoller et al for the separation of music vocals and accompaniment. This end-to-end learning method for audio source separation operates directly…

Sound · Computer Science 2018-11-29 Craig Macartney , Tillman Weyde

This paper proposes a thorough theoretical analysis of Stochastic Gradient Descent (SGD) with non-increasing step sizes. First, we show that the recursion defining SGD can be provably approximated by solutions of a time inhomogeneous…

Optimization and Control · Mathematics 2021-02-02 Xavier Fontaine , Valentin De Bortoli , Alain Durmus

Gaussian white noise is frequently used to model fluctuations in physical systems. In Fokker-Planck theory, this leads to a vanishing probability density near the absorbing boundary of threshold models. Here we derive the boundary condition…

Quantitative Methods · Quantitative Biology 2010-09-17 M. Helias , M. Deger , S. Rotter , M. Diesmann

This paper considers a novel multi-agent linear stochastic approximation algorithm driven by Markovian noise and general consensus-type interaction, in which each agent evolves according to its local stochastic approximation process which…

Machine Learning · Computer Science 2023-10-02 Yixuan Lin , Vijay Gupta , Ji Liu

Large Language Model (LLM) based text-to-speech (TTS) systems have demonstrated remarkable capabilities in handling large speech datasets and generating natural speech for new speakers. However, LLM-based TTS models are not robust as the…

With the rapid growth in model size, fine-tuning the large pre-trained language model has become increasingly difficult due to its extensive memory usage. Previous works usually focus on reducing the number of trainable parameters in the…

Echo-State Networks (ESNs) distil a key neurobiological insight: richly recurrent but fixed circuitry combined with adaptive linear read-outs can transform temporal streams with remarkable efficiency. Yet fundamental questions about…

Neural and Evolutionary Computing · Computer Science 2025-07-25 Pradeep Singh , Lavanya Sankaranarayanan , Balasubramanian Raman

We introduce the Universal Speech Model (USM), a single large model that performs automatic speech recognition (ASR) across 100+ languages. This is achieved by pre-training the encoder of the model on a large unlabeled multilingual dataset…

The aim of this paper is to investigate strong convergence of modified truncated Euler-Maruyama method for neutral stochastic differential delay equations introduced in Lan (2018). Strong convergence rates of the given numerical scheme to…

Probability · Mathematics 2018-07-25 Guangqiang Lan , Qiushi Wang

Sequence expansion between encoder and decoder is a critical challenge in sequence-to-sequence TTS. Attention-based methods achieve great naturalness but suffer from unstable issues like missing and repeating phonemes, not to mention…

Sound · Computer Science 2022-03-21 Yunchao He , Jian Luan , Yujun Wang

In expressive speech synthesis it is widely adopted to use latent prosody representations to deal with variability of the data during training. Same text may correspond to various acoustic realizations, which is known as a one-to-many…

Audio and Speech Processing · Electrical Eng. & Systems 2023-02-13 Mikolaj Babianski , Kamil Pokora , Raahil Shah , Rafal Sienkiewicz , Daniel Korzekwa , Viacheslav Klimkov