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We study trajectory forecasting under squared loss for time series with weak conditional structure, using highly expressive prediction models. Building on the classical characterization of squared-loss risk minimization, we emphasize…

Machine Learning · Statistics 2026-04-02 Pierre Andreoletti

Applications of deep learning in financial market prediction has attracted huge attention from investors and researchers. In particular, intra-day prediction at the minute scale, the dramatically fluctuating volume and stock prices within…

Statistical Finance · Quantitative Finance 2023-05-25 Yuze Lu , Hailong Zhang , Qiwen Guo

We introduce an autoregressive-type model with self-modulation effects for a foreign exchange rate by separating the foreign exchange rate into a moving average rate and an uncorrelated noise. From this model we indicate that traders are…

Physics and Society · Physics 2008-12-02 Takayuki Mizuno , Misako Takayasu , Hideki Takayasu

The growing interest in Temporal Graph Neural Networks (TGNNs) stems from their ability to model complex dynamics and deliver superior performance. However, TGNNs encounter fundamental challenges in capturing long-term dependencies and…

Machine Learning · Computer Science 2026-05-26 Hongjiang Chen , Pengfei Jiao , Ming Du , Xuan Guo , Zhidong Zhao , Di Jin , Xiao Liu

Inflation is a major determinant for allocation decisions and its forecast is a fundamental aim of governments and central banks. However, forecasting inflation is not a trivial task, as its prediction relies on low frequency, highly…

Econometrics · Economics 2023-03-30 Maximilian Tschuchnig , Petra Tschuchnig , Cornelia Ferner , Michael Gadermayr

Multi-horizon forecasting problems often contain a complex mix of inputs -- including static (i.e. time-invariant) covariates, known future inputs, and other exogenous time series that are only observed historically -- without any prior…

Machine Learning · Statistics 2020-09-29 Bryan Lim , Sercan O. Arik , Nicolas Loeff , Tomas Pfister

Flight trajectory prediction for multiple aircraft is essential and provides critical insights into how aircraft navigate within current air traffic flows. However, predicting multi-agent flight trajectories is inherently challenging. One…

Machine Learning · Computer Science 2026-02-06 Seokbin Yoon , Keumjin Lee

The transformer architecture by Vaswani et al. (2017) is now ubiquitous across application domains, from natural language processing to speech processing and image understanding. We propose DenseFormer, a simple modification to the standard…

Computation and Language · Computer Science 2024-03-22 Matteo Pagliardini , Amirkeivan Mohtashami , Francois Fleuret , Martin Jaggi

The increasing severity of climate change necessitates an urgent transition to renewable energy sources, making the large-scale adoption of wind energy crucial for mitigating environmental impact. However, the inherent uncertainty of wind…

Machine Learning · Computer Science 2024-10-18 Chongyang Wan , Shunbo Lei , Yuan Luo

A recent variation of Transformer, Performer, scales Transformer to longer sequences with a linear attention mechanism. However, it is not compatible with relative position encoding, which has advantages over absolute position encoding. In…

Computation and Language · Computer Science 2021-09-09 Peng Chen

Nowadays, our mobility systems are evolving into the era of intelligent vehicles that aim to improve road safety. Due to their vulnerability, pedestrians are the users who will benefit the most from these developments. However, predicting…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Lina Achaji , Thierno Barry , Thibault Fouqueray , Julien Moreau , Francois Aioun , Francois Charpillet

In this note we investigate the consistency under inversion of jump diffusion processes in the Foreign Exchange (FX) market. In other terms, if the EUR/USD FX rate follows a given type of dynamics, under which conditions will USD/EUR follow…

Mathematical Finance · Quantitative Finance 2019-07-09 Federico Graceffa , Damiano Brigo , Andrea Pallavicini

Learning representations on large-sized graphs is a long-standing challenge due to the inter-dependence nature involved in massive data points. Transformers, as an emerging class of foundation encoders for graph-structured data, have shown…

Machine Learning · Computer Science 2024-08-19 Qitian Wu , Wentao Zhao , Chenxiao Yang , Hengrui Zhang , Fan Nie , Haitian Jiang , Yatao Bian , Junchi Yan

Accurate forecasting of residual Physical Resource Blocks (PRBs) is critical for proactive network slice provisioning, energy-efficient operation, and spectrum-aware decision making in cellular systems, where residual PRBs serve as a…

Machine Learning · Computer Science 2026-05-18 Saad Masrur , Yuxuan Jiang , Matti Hiltunen , Ajay Rajkumar , Ismail Guvenc

Modeling interactions between features improves the performance of machine learning solutions in many domains (e.g. recommender systems or sentiment analysis). In this paper, we introduce Exponential Machines (ExM), a predictor that models…

Machine Learning · Statistics 2017-12-11 Alexander Novikov , Mikhail Trofimov , Ivan Oseledets

Extending the forecasting time is a critical demand for real applications, such as extreme weather early warning and long-term energy consumption planning. This paper studies the long-term forecasting problem of time series. Prior…

Machine Learning · Computer Science 2022-01-10 Haixu Wu , Jiehui Xu , Jianmin Wang , Mingsheng Long

This paper presents a new approach to volume ratio prediction in financial markets, specifically targeting the execution of Volume-Weighted Average Price (VWAP) strategies. Recognizing the importance of accurate volume profile forecasting,…

Computational Finance · Quantitative Finance 2025-03-11 Hanwool Lee , Heehwan Park

Understanding the combined influences of meteorological and hydrological factors on water level and flood events is essential, particularly in today's changing climate environments. Transformer, as one kind of the cutting-edge deep learning…

Machine Learning · Computer Science 2024-05-24 Mingyu Liu , Nana Bao , Xingting Yan , Chenyang Li , Kai Peng

Understanding pedestrian crossing behavior is an essential goal in intelligent vehicle development, leading to an improvement in their security and traffic flow. In this paper, we developed a method called IntFormer. It is based on…

Computer Vision and Pattern Recognition · Computer Science 2021-05-19 J. Lorenzo , I. Parra , M. A. Sotelo

The Transformer is a highly successful deep learning model that has revolutionised the world of artificial neural networks, first in natural language processing and later in computer vision. This model is based on the attention mechanism…

Machine Learning · Computer Science 2023-05-09 Riccardo Ughi , Eugenio Lomurno , Matteo Matteucci
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