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Ordinal classification has been widely applied in many high-stakes applications, e.g., medical imaging and diagnosis, where reliable uncertainty quantification (UQ) is essential for decision making. Conformal prediction (CP) is a general UQ…

Machine Learning · Computer Science 2025-11-24 Zijian Zhang , Xinyu Chen , Yuanjie Shi , Liyuan Lillian Ma , Zifan Xu , Yan Yan

Artificial neural networks, widely recognised for their role in machine learning, are now transforming the study of ordinary differential equations (ODEs), bridging data-driven modelling with classical dynamical systems and enabling the…

Optimization and Control · Mathematics 2025-04-15 Dario Izzo , Sebastien Origer , Giacomo Acciarini , Francesco Biscani

Ordinary differential equation (ODE) models are widely used to describe systems in many areas of science. To ensure these models provide accurate and interpretable representations of real-world dynamics, it is often necessary to infer…

Methodology · Statistics 2026-03-24 Selva Salimi , David J. Warne , Christopher Drovandi

Intuitively, a more deterministic time series should be easier to forecast. However, point-wise loss functions (e.g., MSE and MAE), serving as differentiable surrogates for the ideal optimization target, score each timestamp independently…

Machine Learning · Computer Science 2026-05-12 Rongyao Cai , Yuxi Wan , Kexin Zhang , Ming Jin , Zhiqiang Ge , Daoyi Dong , Hang Yu , Yong Liu , Qingsong Wen

In this paper, we propose a new linear-equation ordered-statistics decoding (LE-OSD). Unlike the OSD, LE-OSD uses high reliable parity bits rather than information bits to recover the codeword estimates, which is equivalent to solving a…

Information Theory · Computer Science 2021-10-25 Chentao Yue , Mahyar Shirvanimoghaddam , Giyoon Park , Ok-Sun Park , Branka Vucetic , Yonghui Li

Noise-contrastive estimation (NCE) is a statistically consistent method for learning unnormalized probabilistic models. It has been empirically observed that the choice of the noise distribution is crucial for NCE's performance. However,…

Machine Learning · Computer Science 2021-10-22 Bingbin Liu , Elan Rosenfeld , Pradeep Ravikumar , Andrej Risteski

In many real-world problems, predictions are leveraged to monitor and control cyber-physical systems, demanding guarantees on the satisfaction of reliability and safety requirements. However, predictions are inherently uncertain, and…

Information Theory · Computer Science 2023-10-17 Matteo Zecchin , Sangwoo Park , Osvaldo Simeone

We present a new finite-time analysis of the estimation error of the Ordinary Least Squares (OLS) estimator for stable linear time-invariant systems. We characterize the number of observed samples (the length of the observed trajectory)…

Statistics Theory · Mathematics 2020-03-27 Yassir Jedra , Alexandre Proutiere

In this paper, we propose mean squared error (MSE) loss with outlying label for class imbalanced classification. Cross entropy (CE) loss, which is widely used for image recognition, is learned so that the probability value of true class is…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Sota Kato , Kazuhiro Hotta

It is crucial to detect when an instance lies downright too far from the training samples for the machine learning model to be trusted, a challenge known as out-of-distribution (OOD) detection. For neural networks, one approach to this task…

Time-Series Forecasting based on Cumulative Data (TSFCD) is a crucial problem in decision-making across various industrial scenarios. However, existing time-series forecasting methods often overlook two important characteristics of…

Machine Learning · Computer Science 2023-09-26 Zhichao Chen , Leilei Ding , Zhixuan Chu , Yucheng Qi , Jianmin Huang , Hao Wang

Unsupervised Outlier Detection (UOD) is an important data mining task. With the advance of deep learning, deep Outlier Detection (OD) has received broad interest. Most deep UOD models are trained exclusively on clean datasets to learn the…

Machine Learning · Computer Science 2024-07-02 Yihong Huang , Yuang Zhang , Liping Wang , Fan Zhang , Xuemin Lin

We describe an approach to improving model fitting and model generalization that considers the entropy of distributions of modelling residuals. We use simple simulations to demonstrate the observational signatures of overfitting on ordered…

Methodology · Statistics 2019-08-05 Barnaby Rowe

Due to their flexibility and predictive performance, machine-learning based regression methods have become an important tool for predictive modeling and forecasting. However, most methods focus on estimating the conditional mean or specific…

Machine Learning · Statistics 2019-03-15 Rui Li , Howard D. Bondell , Brian J. Reich

In this paper, we propose a novel offloading learning approach to compromise energy consumption and latency in multi-tier network with mobile edge computing. In order to solve this integer programming problem, instead of using conventional…

Information Theory · Computer Science 2019-12-10 Shuhan Zhu , Wei Xu , Lisheng Fan , Kezhi Wang , George K. Karagiannidis

Prognostics or Remaining Useful Life (RUL) Estimation from multi-sensor time series data is useful to enable condition-based maintenance and ensure high operational availability of equipment. We propose a novel deep learning based approach…

Machine Learning · Computer Science 2021-03-05 Vishnu TV , Diksha , Pankaj Malhotra , Lovekesh Vig , Gautam Shroff

Edge detection (ED) is a fundamental perceptual process in computer vision, forming the structural basis for high-level reasoning tasks such as segmentation, recognition, and scene understanding. Despite substantial progress achieved by…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Hao Shu

Deep learning has been actively studied for time series forecasting, and the mainstream paradigm is based on the end-to-end training of neural network architectures, ranging from classical LSTM/RNNs to more recent TCNs and Transformers.…

Machine Learning · Computer Science 2022-05-06 Gerald Woo , Chenghao Liu , Doyen Sahoo , Akshat Kumar , Steven Hoi

Perception of time from sequentially acquired sensory inputs is rooted in everyday behaviors of individual organisms. Yet, most algorithms for time-series modeling fail to learn dynamics of random event timings directly from visual or audio…

Machine Learning · Computer Science 2021-07-20 Hengguan Huang , Hongfu Liu , Hao Wang , Chang Xiao , Ye Wang

Deep learning has significantly advanced time series forecasting through its powerful capacity to capture sequence relationships. However, training these models with the Mean Square Error (MSE) loss often results in over-smooth predictions,…

Machine Learning · Computer Science 2024-12-25 Yanru Sun , Zongxia Xie , Dongyue Chen , Emadeldeen Eldele , Qinghua Hu