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Neural autoregressive sequence models smear the probability among many possible sequences including degenerate ones, such as empty or repetitive sequences. In this work, we tackle one specific case where the model assigns a high probability…

Machine Learning · Computer Science 2021-12-23 Ilia Kulikov , Maksim Eremeev , Kyunghyun Cho

Recursive Neural Networks are non-linear adaptive models that are able to learn deep structured information. However, these models have not yet been broadly accepted. This fact is mainly due to its inherent complexity. In particular, not…

Neural and Evolutionary Computing · Computer Science 2009-11-18 Alejandro Chinea

Large-scale deep neural networks consume expensive training costs, but the training results in less-interpretable weight matrices constructing the networks. Here, we propose a mode decomposition learning that can interpret the weight…

Machine Learning · Computer Science 2023-04-13 Chan Li , Haiping Huang

Despite their success, convolutional neural networks are computationally expensive because they must examine all image locations. Stochastic attention-based models have been shown to improve computational efficiency at test time, but they…

Machine Learning · Computer Science 2015-09-24 Jimmy Ba , Roger Grosse , Ruslan Salakhutdinov , Brendan Frey

The autoregressive time series model is a popular second-order stationary process, modeling a wide range of real phenomena. However, in applications, autoregressive signals are often corrupted by additive noise. Further, the autoregressive…

Methodology · Statistics 2025-12-09 Sayantan Banerjee , Agnieszka Wylomanska , Sundar S

Masked Diffusion Models (MDMs) have emerged as one of the most promising paradigms for generative modeling over discrete domains. It is known that MDMs effectively train to decode tokens in a random order, and that this ordering has…

Machine Learning · Computer Science 2025-11-25 Prateek Garg , Bhavya Kohli , Sunita Sarawagi

A popular strategy to train recurrent neural networks (RNNs), known as ``teacher forcing'' takes the ground truth as input at each time step and makes the later predictions partly conditioned on those inputs. Such training strategy impairs…

Computation and Language · Computer Science 2021-03-23 Liping Yuan , Jiangtao Feng , Xiaoqing Zheng , Xuanjing Huang

Large Language Models (LLMs) have recently been successfully applied to regression tasks -- such as time series forecasting and tabular prediction -- by leveraging their in-context learning abilities. However, their autoregressive decoding…

Machine Learning · Computer Science 2026-03-04 Julianna Piskorz , Katarzyna Kobalczyk , Mihaela van der Schaar

Sequence-to-sequence architectures built upon recurrent neural networks have become a standard choice for multi-step-ahead time series prediction. In these models, the decoder produces future values conditioned on contextual inputs,…

Machine Learning · Computer Science 2026-02-06 Qi Sima , Xinze Zhang , Yukun Bao , Siyue Yang , Liang Shen

A longstanding challenge for the Machine Learning community is the one of developing models that are capable of processing and learning from very long sequences of data. The outstanding results of Transformers-based networks (e.g., Large…

Machine Learning · Computer Science 2024-02-15 Matteo Tiezzi , Michele Casoni , Alessandro Betti , Tommaso Guidi , Marco Gori , Stefano Melacci

After a more than decade-long period of relatively little research activity in the area of recurrent neural networks, several new developments will be reviewed here that have allowed substantial progress both in understanding and in…

Machine Learning · Computer Science 2012-12-17 Yoshua Bengio , Nicolas Boulanger-Lewandowski , Razvan Pascanu

Recurrent neural network is a powerful model that learns temporal patterns in sequential data. For a long time, it was believed that recurrent networks are difficult to train using simple optimizers, such as stochastic gradient descent, due…

Neural and Evolutionary Computing · Computer Science 2015-04-20 Tomas Mikolov , Armand Joulin , Sumit Chopra , Michael Mathieu , Marc'Aurelio Ranzato

Recurrent neural networks (RNNs) provide state-of-the-art performance in processing sequential data but are memory intensive to train, limiting the flexibility of RNN models which can be trained. Reversible RNNs---RNNs for which the…

Machine Learning · Computer Science 2018-10-26 Matthew MacKay , Paul Vicol , Jimmy Ba , Roger Grosse

Denoising diffusion models have found applications in image segmentation by generating segmented masks conditioned on images. Existing studies predominantly focus on adjusting model architecture or improving inference, such as test-time…

Image and Video Processing · Electrical Eng. & Systems 2023-12-11 Yunguan Fu , Yiwen Li , Shaheer U Saeed , Matthew J Clarkson , Yipeng Hu

Learning to solve sequential tasks with recurrent models requires the ability to memorize long sequences and to extract task-relevant features from them. In this paper, we study the memorization subtask from the point of view of the design…

Machine Learning · Computer Science 2020-02-03 Antonio Carta , Alessandro Sperduti , Davide Bacciu

Human motion generation is a challenging task due to its high dimensionality and the difficulty of generating fine-grained motions. Diffusion methods have been proposed due to their high sample quality and expressiveness. Early approaches…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Mirgahney Mohamed , Harry Jake Cunningham , Marc P. Deisenroth , Lourdes Agapito

Training autoregressive models to better predict under the test metric, instead of maximizing the likelihood, has been reported to be beneficial in several use cases but brings additional complications, which prevent wider adoption. In this…

Machine Learning · Computer Science 2019-12-10 Irina Saparina , Anton Osokin

We analyze recurrent neural networks with diagonal hidden-to-hidden weight matrices, trained with gradient descent in the supervised learning setting, and prove that gradient descent can achieve optimality \emph{without} massive…

Machine Learning · Computer Science 2024-10-11 Semih Cayci , Atilla Eryilmaz

Restricted Boltzmann machines (RBMs) are a powerful class of generative models, but their training requires computing a gradient that, unlike supervised backpropagation on typical loss functions, is notoriously difficult even to…

Machine Learning · Computer Science 2020-11-03 Haik Manukian , Yan Ru Pei , Sean R. B. Bearden , Massimiliano Di Ventra

Many efforts have been devoted to training generative latent variable models with autoregressive decoders, such as recurrent neural networks (RNN). Stochastic recurrent models have been successful in capturing the variability observed in…

Machine Learning · Statistics 2017-11-17 Anirudh Goyal , Alessandro Sordoni , Marc-Alexandre Côté , Nan Rosemary Ke , Yoshua Bengio
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