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Recent work has shown that simple linear models can outperform several Transformer based approaches in long term time-series forecasting. Motivated by this, we propose a Multi-layer Perceptron (MLP) based encoder-decoder model, Time-series…

Machine Learning · Statistics 2024-04-05 Abhimanyu Das , Weihao Kong , Andrew Leach , Shaan Mathur , Rajat Sen , Rose Yu

Probabilistic forecasting consists in predicting a distribution of possible future outcomes. In this paper, we address this problem for non-stationary time series, which is very challenging yet crucially important. We introduce the STRIPE…

Machine Learning · Statistics 2021-04-13 Vincent Le Guen , Nicolas Thome

Generative models have emerged as powerful priors for solving inverse problems. These models typically represent a class of natural signals using a single fixed complexity or dimensionality. This can be limiting: depending on the problem, a…

Machine Learning · Computer Science 2026-03-11 Sean Gunn , Jorio Cocola , Oliver De Candido , Vaggos Chatziafratis , Paul Hand

We propose a simple and effective modeling framework for controlled generation of multiple, diverse outputs. We focus on the setting of generating the next sentence of a story given its context. As controllable dimensions, we consider…

Computation and Language · Computer Science 2020-06-03 Lifu Tu , Xiaoan Ding , Dong Yu , Kevin Gimpel

Many real-world problems require making sequences of decisions where the outcomes of each decision are probabilistic and uncertain, and the availability of different actions is constrained by the outcomes of previous actions. There is a…

Optimization and Control · Mathematics 2025-04-28 Berk Ozturk , She'ifa Punla-Green , Les Servi

Probabilistic forecasting of multivariate time series is challenging due to non-stationarity, inter-variable dependencies, and distribution shifts. While recent diffusion and flow matching models have shown promise, they often ignore…

Machine Learning · Statistics 2026-02-19 Yanfeng Yang , Siwei Chen , Pingping Hu , Zhaotong Shen , Yingjie Zhang , Zhuoran Sun , Shuai Li , Ziqi Chen , Kenji Fukumizu

End-to-end autonomous driving aims to generate safe and plausible planning policies from raw sensor input. Driving world models have shown great potential in learning rich representations by predicting the future evolution of a driving…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Xingtai Gui , Meijie Zhang , Tianyi Yan , Wencheng Han , Jiahao Gong , Feiyang Tan , Cheng-zhong Xu , Jianbing Shen

We demonstrate the effectiveness of the categorical distribution as a neural network output for next event prediction. This is done for both discrete-time and continuous-time event sequences. To model continuous-time processes, the…

Machine Learning · Computer Science 2026-01-26 Kevin Doran , Tom Baden

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

Machine Learning · Statistics 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

Recurrent neural networks (RNNs), temporal convolutions, and neural differential equations (NDEs) are popular families of deep learning models for time-series data, each with unique strengths and tradeoffs in modeling power and…

Machine Learning · Computer Science 2021-10-28 Albert Gu , Isys Johnson , Karan Goel , Khaled Saab , Tri Dao , Atri Rudra , Christopher Ré

Latent structure methods, specifically linear continuous latent structure methods, are a type of fundamental statistical learning strategy. They are widely used for dimension reduction, regression and prediction, in the fields of…

Methodology · Statistics 2025-08-07 Clara Grazian , Qian Jin , Pierre Lafaye De Micheaux

Accurate seismic velocity estimations are vital to understanding Earth's subsurface structures, assessing natural resources, and evaluating seismic hazards. Machine learning-based inversion algorithms have shown promising performance in…

Geophysics · Physics 2024-08-12 Fu Wang , Xinquan Huang , Tariq Alkhalifah

Understanding the macroscopic behavior of dynamical systems is an important tool to unravel transport mechanisms in complex flows. A decomposition of the state space into coherent sets is a popular way to reveal this essential macroscopic…

Dynamical Systems · Mathematics 2020-04-30 Gary Froyland , Péter Koltai , Martin Stahn

Scaling test-time computation--generating and analyzing multiple or sequential outputs for a single input--has become a promising strategy for improving the reliability and quality of large language models (LLMs), as evidenced by advances…

Computation and Language · Computer Science 2025-06-03 Sungjae Lee , Hoyoung Kim , Jeongyeon Hwang , Eunhyeok Park , Jungseul Ok

The practical use of future climate projections from global circulation models (GCMs) is often limited by their coarse spatial resolution, requiring downscaling to generate high-resolution data. Regional climate models (RCMs) provide this…

Atmospheric and Oceanic Physics · Physics 2026-04-13 Maybritt Schillinger , Maxim Samarin , Xinwei Shen , Reto Knutti , Nicolai Meinshausen

Real-world data can be multimodal distributed, e.g., data describing the opinion divergence in a community, the interspike interval distribution of neurons, and the oscillators natural frequencies. Generating multimodal distributed…

Machine Learning · Computer Science 2023-05-08 Ming Min , Ruimeng Hu , Tomoyuki Ichiba

The success of large generative models has driven a paradigm shift, leveraging massive multi-source data to enhance model capabilities. However, the interaction among these sources remains theoretically underexplored. This paper takes the…

Machine Learning · Computer Science 2025-07-09 Rongzhen Wang , Yan Zhang , Chenyu Zheng , Chongxuan Li , Guoqiang Wu

We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synthesis conditions are formulated as clock-dependent linear…

Optimization and Control · Mathematics 2022-05-12 Tobias Holicki , Carsten W. Scherer

The widespread adoption of wearable sensors has the potential to provide massive and heterogeneous time series data, driving the use of Artificial Intelligence in human sensing applications. However, data collection remains limited due to…

Machine Learning · Computer Science 2025-12-04 Flavio Di Martino , Franca Delmastro

We present the Linear Complexity Sequence Model (LCSM), a comprehensive solution that unites various sequence modeling techniques with linear complexity, including linear attention, state space model, long convolution, and linear RNN,…

Computation and Language · Computer Science 2024-05-28 Zhen Qin , Xuyang Shen , Dong Li , Weigao Sun , Stan Birchfield , Richard Hartley , Yiran Zhong