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Maximum likelihood (ML) learning for energy-based models (EBMs) is challenging, partly due to non-convergence of Markov chain Monte Carlo.Several variations of ML learning have been proposed, but existing methods all fail to achieve both…

Machine Learning · Statistics 2023-04-24 Xinwei Zhang , Zhiqiang Tan , Zhijian Ou

Standard uncertainty estimation techniques, such as dropout, often struggle to clearly distinguish reliable predictions from unreliable ones. We attribute this limitation to noisy classifier weights, which, while not impairing overall…

Machine Learning · Computer Science 2025-06-09 Haripriya Harikumar , Santu Rana

Novelty detection, i.e., identifying whether a given sample is drawn from outside the training distribution, is essential for reliable machine learning. To this end, there have been many attempts at learning a representation well-suited for…

Machine Learning · Computer Science 2020-10-22 Jihoon Tack , Sangwoo Mo , Jongheon Jeong , Jinwoo Shin

This study introduces a training-free conditional diffusion model for learning unknown stochastic differential equations (SDEs) using data. The proposed approach addresses key challenges in computational efficiency and accuracy for modeling…

Machine Learning · Computer Science 2024-10-07 Yanfang Liu , Yuan Chen , Dongbin Xiu , Guannan Zhang

Unnormalized (or energy-based) models provide a flexible framework for capturing the characteristics of data with complex dependency structures. However, the application of standard Bayesian inference methods has been severely limited…

Methodology · Statistics 2026-03-11 Naruki Sonobe , Shonosuke Sugasawa , Daichi Mochihashi , Takeru Matsuda

This paper presents SimCSE, a simple contrastive learning framework that greatly advances state-of-the-art sentence embeddings. We first describe an unsupervised approach, which takes an input sentence and predicts itself in a contrastive…

Computation and Language · Computer Science 2022-05-19 Tianyu Gao , Xingcheng Yao , Danqi Chen

Score-based generative models have excellent performance in terms of generation quality and likelihood. They model the data distribution by matching a parameterized score network with first-order data score functions. The score network can…

Machine Learning · Statistics 2022-06-28 Cheng Lu , Kaiwen Zheng , Fan Bao , Jianfei Chen , Chongxuan Li , Jun Zhu

The ensemble average of physical properties of molecules is closely related to the distribution of molecular conformations, and sampling such distributions is a fundamental challenge in physics and chemistry. Traditional methods like…

Machine Learning · Computer Science 2025-08-06 Liya Guo , Zun Wang , Chang Liu , Junzhe Li , Pipi Hu , Yi Zhu

Policy-gradient methods are widely used in reinforcement learning, yet training often becomes unstable or slows down as learning progresses. We study this phenomenon through the noise-to-signal ratio (NSR) of a policy-gradient estimator,…

Optimization and Control · Mathematics 2026-02-10 Haoyu Han , Heng Yang

Denoising and score estimation have long been known to be linked via the classical Tweedie's formula. In this work, we first extend the latter to a wider range of distributions often called "energy models" and denoted elliptical…

Machine Learning · Statistics 2026-01-01 Andrej Leban

Node-perturbation learning is a type of statistical gradient descent algorithm that can be applied to problems where the objective function is not explicitly formulated, including reinforcement learning. It estimates the gradient of an…

Machine Learning · Statistics 2017-06-22 Kazuyuki Hara , Kentaro Katahira , Masato Okada

The negative sampling (NEG) objective function, used in word2vec, is a simplification of the Noise Contrastive Estimation (NCE) method. NEG was found to be highly effective in learning continuous word representations. However, unlike NCE,…

Computation and Language · Computer Science 2016-09-06 Oren Melamud , Ido Dagan , Jacob Goldberger

Maximum likelihood estimation is widely used in training Energy-based models (EBMs). Training requires samples from an unnormalized distribution, which is usually intractable, and in practice, these are obtained by MCMC algorithms such as…

Machine Learning · Computer Science 2021-04-23 Zhisheng Xiao , Qing Yan , Yali Amit

Score-based generative models can effectively learn the distribution of data by estimating the gradient of the distribution. Due to the multi-step denoising characteristic, researchers have recently considered combining score-based…

Machine Learning · Computer Science 2024-12-17 Changyuan Zhao , Hongyang Du , Guangyuan Liu , Dusit Niyato

Given a collection of observed signals corrupted with Gaussian noise, how can we learn to optimally denoise them? This fundamental problem arises in both empirical Bayes and generative modeling. In empirical Bayes, the predominant approach…

Statistics Theory · Mathematics 2025-09-25 Sulagna Ghosh , Nikolaos Ignatiadis , Frederic Koehler , Amber Lee

Estimating noise information exactly is crucial for noise aware training in speech applications including speech enhancement (SE) which is our focus in this paper. To estimate noise-only frames, we employ voice activity detection (VAD) to…

Audio and Speech Processing · Electrical Eng. & Systems 2020-12-04 Joohyung Lee , Youngmoon Jung , Myunghun Jung , Hoirin Kim

Score-based generative models (SGMs) learn a family of noise-conditional score functions corresponding to the data density perturbed with increasingly large amounts of noise. These perturbed data densities are linked together by the…

Machine Learning · Computer Science 2023-06-16 Chieh-Hsin Lai , Yuhta Takida , Naoki Murata , Toshimitsu Uesaka , Yuki Mitsufuji , Stefano Ermon

Noise transition matrix (NTM) estimation is a promising approach for learning with label noise. It can infer clean posterior probabilities, known as Label Distribution (LD), based on noisy ones and reduce the impact of noisy labels.…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Zehui Liao , Shishuai Hu , Yutong Xie , Yong Xia

Speech recognition system performance degrades in noisy environments. If the acoustic models are built using features of clean utterances, the features of a noisy test utterance would be acoustically mismatched with the trained model. This…

Computation and Language · Computer Science 2015-07-16 D. S. Pavan Kumar

Training deep neural networks (DNNs) from noisy labels is an important and challenging task. However, most existing approaches focus on the corrupted labels and ignore the importance of inherent data structure. To bridge the gap between…

Machine Learning · Computer Science 2024-05-03 Zijia Wang , Wenbin Yang , Zhisong Liu , Zhen Jia
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