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Stochastic processes generated by non-stationary distributions are difficult to represent with conventional models such as Gaussian processes. This work presents Recurrent Autoregressive Flows as a method toward general stochastic process…

Machine Learning · Computer Science 2020-06-20 John Mern , Peter Morales , Mykel J. Kochenderfer

The idea that memory behavior relies on a gradually-changing internal state has a long history in mathematical psychology. This chapter traces this line of thought from statistical learning theory in the 1950s, through distributed memory…

Neurons and Cognition · Quantitative Biology 2022-01-07 Marc W. Howard

Efficiently capturing the long-range patterns in sequential data sources salient to a given task -- such as classification and generative modeling -- poses a fundamental challenge. Popular approaches in the space tradeoff between the memory…

Machine Learning · Computer Science 2023-11-03 Jiaxin Shi , Ke Alexander Wang , Emily B. Fox

Establishing stable mappings between natural language expressions and visual percepts is a foundational problem for both cognitive science and artificial intelligence. Humans routinely ground linguistic reference in noisy, ambiguous…

Artificial Intelligence · Computer Science 2026-02-24 Joseph Bingham

Humans paint images incrementally: they plan a global layout, sketch a coarse draft, inspect, and refine details, and most importantly, each step is grounded in the evolving visual states. However, can unified multimodal models trained on…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Lei Zhang , Junjiao Tian , Zhipeng Fan , Kunpeng Li , Jialiang Wang , Weifeng Chen , Markos Georgopoulos , Felix Juefei-Xu , Yuxiang Bao , Julian McAuley , Manling Li , Zecheng He

To develop effective sequential recommender systems, numerous methods have been proposed to model historical user behaviors. Despite the effectiveness, these methods share the same fast thinking paradigm. That is, for making…

Information Retrieval · Computer Science 2025-04-15 Junjie Zhang , Beichen Zhang , Wenqi Sun , Hongyu Lu , Wayne Xin Zhao , Yu Chen , Ji-Rong Wen

Bottom-up models of functionally relevant patterns of neural activity provide an explicit link between neuronal dynamics and computation. A prime example of functional activity pattern is hippocampal replay, which is critical for memory…

Neurons and Cognition · Quantitative Biology 2024-09-30 Bastian Pietras , Valentin Schmutz , Tilo Schwalger

Deep learning continues to revolutionize an ever-growing number of critical application areas including healthcare, transportation, finance, and basic sciences. Despite their increased predictive power, model transparency and human…

Machine Learning · Computer Science 2020-04-28 Benjamin Shickel , Parisa Rashidi

We present for mental processes the program of mathematical mapping which has been successfully realized for physical processes. We emphasize that our project is not about mathematical simulation of brain's functioning as a complex physical…

Neurons and Cognition · Quantitative Biology 2010-11-30 Andrei Khrennikov

As models increasingly leverage multi-step reasoning strategies to solve complex problems, supervising the logical validity of these intermediate steps has become a critical research challenge. Process reward models address this by…

Artificial Intelligence · Computer Science 2025-08-28 Wei Xiong , Wenting Zhao , Weizhe Yuan , Olga Golovneva , Tong Zhang , Jason Weston , Sainbayar Sukhbaatar

We study how the connectivity within a recurrent neural network determines and is determined by the multistable solutions of network activity. To gain analytic tractability we let neural activation be a non-smooth Heaviside step function.…

Neural and Evolutionary Computing · Computer Science 2023-03-09 Magnus Tournoy , Brent Doiron

This paper proposes a new sequential model learning architecture to solve partially observable Markov decision problems. Rather than compressing sequential information at every timestep as in conventional recurrent neural network-based…

Machine Learning · Computer Science 2021-12-13 Giseung Park , Sungho Choi , Youngchul Sung

Recurrent neural networks (RNNs) have been used extensively and with increasing success to model various types of sequential data. Much of this progress has been achieved through devising recurrent units and architectures with the…

Machine Learning · Statistics 2017-03-06 Yacine Jernite , Edouard Grave , Armand Joulin , Tomas Mikolov

Complementary Learning Systems theory holds that intelligent agents need two learning systems. Semantic memory is encoded in the neocortex with dense, overlapping representations and acquires structured knowledge. Episodic memory is encoded…

Machine Learning · Computer Science 2025-09-03 Lucie Fontaine , Frédéric Alexandre

Large language models have recently shown promising progress in mathematical reasoning when fine-tuned with human-generated sequences walking through a sequence of solution steps. However, the solution sequences are not formally structured…

Machine Learning · Computer Science 2022-12-07 Andrew J. Nam , Mengye Ren , Chelsea Finn , James L. McClelland

The depth of networks plays a crucial role in the effectiveness of deep learning. However, the memory requirement for backpropagation scales linearly with the number of layers, which leads to memory bottlenecks during training. Moreover,…

Numerical Analysis · Mathematics 2025-02-20 Sofya Maslovskaya , Sina Ober-Blöbaum , Christian Offen , Pranav Singh , Boris Wembe

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

Basic experimental findings about human working memory can be described by an algebra built on high-dimensional binary states, representing information items, and two operations: multiplication for binding and addition for bundling. In…

Neurons and Cognition · Quantitative Biology 2021-11-16 Stefan Reimann

Within the neurosciences, to observe variability across time in the dynamics of an underlying brain process is neither new nor unexpected. Wavelets are essential in analyzing brain signals because, even within a single trial, brain signals…

Methodology · Statistics 2020-05-20 Jonathan Embleton , Marina I. Knight , Hernando Ombao

Latent reasoning has been recently proposed as a reasoning paradigm and performs multi-step reasoning through generating steps in the latent space instead of the textual space. This paradigm enables reasoning beyond discrete language tokens…

Artificial Intelligence · Computer Science 2026-02-27 Yingqian Cui , Zhenwei Dai , Bing He , Zhan Shi , Hui Liu , Rui Sun , Zhiji Liu , Yue Xing , Jiliang Tang , Benoit Dumoulin