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Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

数值分析 · 数学 2020-02-26 Kailai Xu , Eric Darve

This paper presents early work aiming at the development of a new framework for the design and analysis of algorithms for online learning based prediction and control. Firstly, we consider the task of predicting values of a function or time…

最优化与控制 · 数学 2019-03-26 Jan-P. Calliess

Probabilistic Logic Programs (PLPs) generalize traditional logic programs and allow the encoding of models combining logical structure and uncertainty. In PLP, inference is performed by summarizing the possible worlds which entail the query…

计算机科学中的逻辑 · 计算机科学 2018-04-30 Arun Nampally , Timothy Zhang , C. R. Ramakrishnan

Reliable uncertainty estimation is critical for deploying neural networks (NNs) in real-world applications. While existing calibration techniques often rely on post-hoc adjustments or coarse-grained binning methods, they remain limited in…

机器学习 · 计算机科学 2025-05-30 Pedro Mendes , Paolo Romano , David Garlan

Distribution alignment has many applications in deep learning, including domain adaptation and unsupervised image-to-image translation. Most prior work on unsupervised distribution alignment relies either on minimizing simple non-parametric…

机器学习 · 计算机科学 2020-10-27 Ben Usman , Avneesh Sud , Nick Dufour , Kate Saenko

Physics-Informed Neural Networks (PINNs) are mesh-free approaches for the numerical approximation of partial differential equations, where a neural network is trained by minimizing a loss function derived from the governing equations and…

数值分析 · 数学 2026-04-03 Medard Govoeyi , Thomas Richter

This paper explores the intricate relationship between interpretability and robustness in deep learning models. Despite their remarkable performance across various tasks, deep learning models often exhibit critical vulnerabilities,…

机器学习 · 计算机科学 2024-12-30 Navid Nayyem , Abdullah Rakin , Longwei Wang

We consider the problem of conformal prediction under covariate shift. Given labeled data from a source domain and unlabeled data from a covariate shifted target domain, we seek to construct prediction sets with valid marginal coverage in…

机器学习 · 统计学 2025-07-02 Sunay Joshi , Shayan Kiyani , George Pappas , Edgar Dobriban , Hamed Hassani

Machine learning models have exhibited exceptional results in various domains. The most prevalent approach for learning is the empirical risk minimizer (ERM), which adapts the model's weights to reduce the loss on a training set and…

机器学习 · 计算机科学 2024-12-11 Koby Bibas

Large language models (LLMs) are a promising venue for natural language understanding and generation tasks. However, current LLMs are far from reliable: they are prone to generate non-factual information and, more crucially, to contradict…

机器学习 · 计算机科学 2024-04-22 Diego Calanzone , Stefano Teso , Antonio Vergari

Sparse deep learning has become a popular technique for improving the performance of deep neural networks in areas such as uncertainty quantification, variable selection, and large-scale network compression. However, most existing research…

机器学习 · 统计学 2023-10-06 Mingxuan Zhang , Yan Sun , Faming Liang

Inverse reinforcement learning (IRL) for linear systems seeks a cost function whose optimal controller reproduces an expert policy from data. Existing data-driven methods for discrete-time linear systems are largely built on iterative…

系统与控制 · 电气工程与系统科学 2026-05-12 Duc Cuong Nguyen , Phuong Nam Dao

We introduce a new approach to prediction in graphical models with latent-shift adaptation, i.e., where source and target environments differ in the distribution of an unobserved confounding latent variable. Previous work has shown that as…

机器学习 · 统计学 2023-06-26 William I. Walker , Arthur Gretton , Maneesh Sahani

We consider the problem of making nonparametric inference in a class of multi-dimensional diffusions in divergence form, from low-frequency data. Statistical analysis in this setting is notoriously challenging due to the intractability of…

统计方法学 · 统计学 2025-01-23 Matteo Giordano , Sven Wang

A connection between the General Linear Model (GLM) in combination with classical statistical inference and the machine learning (MLE)-based inference is described in this paper. Firstly, the estimation of the GLM parameters is expressed as…

机器学习 · 统计学 2022-02-10 Juan Manuel Gorriz , SIPBA group , John Suckling

The non-humanlike behaviour of contemporary pre-trained language models (PLMs) is a leading cause undermining their trustworthiness. A striking phenomenon of such faulty behaviours is the generation of inconsistent predictions, which…

计算与语言 · 计算机科学 2023-10-25 Myeongjun Erik Jang , Thomas Lukasiewicz

We introduce a new approach to probabilistic unsupervised learning based on the recognition-parametrised model (RPM): a normalised semi-parametric hypothesis class for joint distributions over observed and latent variables. Under the key…

机器学习 · 计算机科学 2023-04-21 William I. Walker , Hugo Soulat , Changmin Yu , Maneesh Sahani

Deep neural networks tend to make overconfident predictions and often require additional detectors for misclassifications, particularly for safety-critical applications. Existing detection methods usually only focus on adversarial attacks…

机器学习 · 计算机科学 2023-07-07 Julia Lust , Alexandru P. Condurache

Large Language Models (LLMs) have recently improved mathematical reasoning through Reinforcement Learning with Verifiable Reward (RLVR). However, existing RLVR algorithms require large query budgets, making annotation costly. We investigate…

人工智能 · 计算机科学 2026-02-02 Hao Yi , Yulan Hu , Xin Li , Sheng Ouyang , Lizhong Ding , Yong Liu

Structural learning, a method to estimate the parameters for discrete energy minimization, has been proven to be effective in solving computer vision problems, especially in 3D scene parsing. As the complexity of the models increases,…

计算机视觉与模式识别 · 计算机科学 2017-01-13 Mengtian Li , Daniel Huber