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Invariant learning methods, aimed at identifying a consistent predictor across multiple environments, are gaining prominence in out-of-distribution (OOD) generalization. Yet, when environments aren't inherent in the data, practitioners must…

机器学习 · 计算机科学 2024-05-24 Yufan Liao , Qi Wu , Zhaodi Wu , Xing Yan

We study the learning properties of nonparametric ridge-less least squares. In particular, we consider the common case of estimators defined by scale dependent kernels, and focus on the role of the scale. These estimators interpolate the…

机器学习 · 统计学 2021-11-11 Nicolò Pagliana , Alessandro Rudi , Ernesto De Vito , Lorenzo Rosasco

The current implementation of Thiele rational interpolation in Maple (the ThieleInterpolation routine) breaks down when the points are not well-ordered. In this article, it is shown how this breakdown can be avoided by ordering the…

数值分析 · 数学 2023-09-07 Oliver Salazar Celis

Sequence prediction models can be learned from example sequences with a variety of training algorithms. Maximum likelihood learning is simple and efficient, yet can suffer from compounding error at test time. Reinforcement learning such as…

机器学习 · 计算机科学 2019-07-02 Bowen Tan , Zhiting Hu , Zichao Yang , Ruslan Salakhutdinov , Eric Xing

This work investigates the stability of (discrete) empirical interpolation for nonlinear model reduction and state field approximation from measurements. Empirical interpolation derives approximations from a few samples (measurements) via…

数值分析 · 数学 2020-05-20 Benjamin Peherstorfer , Zlatko Drmač , Serkan Gugercin

A widely recognized limitation of molecular prediction models is their reliance on structures observed in the training data, resulting in poor generalization to out-of-distribution compounds. Yet in drug discovery, the compounds most…

机器学习 · 计算机科学 2026-01-05 Jina Kim , Jeffrey Willette , Bruno Andreis , Sung Ju Hwang

Interpolation is an important property of classical and many non-classical logics that has been shown to have interesting applications in computer science and AI. Here we study the Interpolation Property for the the non-monotonic system of…

计算机科学中的逻辑 · 计算机科学 2014-01-17 Dov Gabbay , David Pearce , Agustín Valverde

Probabilistic modeling is cyclical: we specify a model, infer its posterior, and evaluate its performance. Evaluation drives the cycle, as we revise our model based on how it performs. This requires a metric. Traditionally, predictive…

机器学习 · 统计学 2016-05-25 Alp Kucukelbir , David M. Blei

Predicting protein interactions is one of the more interesting challenges of the post-genomic era. Many algorithms address this problem as a binary classification problem: given two proteins represented as two vectors of features, predict…

分子网络 · 定量生物学 2011-11-01 Ossnat Bar-Shira , Gal Chechik

In this paper, we consider sequential online prediction (SOP) for streaming data in the presence of outliers and change points. We propose an INstant TEmporal structure Learning (INTEL) algorithm to address this problem. Our INTEL algorithm…

机器学习 · 计算机科学 2020-02-12 Bin Liu , Yu Qi , Ke-Jia Chen

Conformal Prediction (CP) algorithms estimate the uncertainty of a prediction model by calibrating its outputs on labeled data. The same calibration scheme usually applies to any model and data without modifications. The obtained prediction…

机器学习 · 计算机科学 2024-06-27 Nicolo Colombo

In this work we consider robust stabilization of uncertain dynamical systems and show that this can be achieved by solving a non-classically constrained analytic interpolation problem. In particular, this non-classical constraint confines…

最优化与控制 · 数学 2020-10-28 Axel Ringh , Johan Karlsson , Anders Lindquist

In supervised learning, it has been shown that label noise in the data can be interpolated without penalties on test accuracy. We show that interpolating label noise induces adversarial vulnerability, and prove the first theorem showing the…

机器学习 · 统计学 2023-03-15 Daniel Paleka , Amartya Sanyal

We present a method that allows efficient and safe approximation of model predictive controllers using kernel interpolation. Since the computational complexity of the approximating function scales linearly with the number of data points, we…

系统与控制 · 电气工程与系统科学 2025-07-22 Alexander Rose , Philipp Schaub , Rolf Findeisen

In the adaptive information gathering problem, a policy is required to select an informative sensing location using the history of measurements acquired thus far. While there is an extensive amount of prior work investigating effective…

机器人学 · 计算机科学 2017-05-23 Sanjiban Choudhury , Ashish Kapoor , Gireeja Ranade , Sebastian Scherer , Debadeepta Dey

We develop an interpolation-based framework for noisy linear systems with unknown system matrix with bounded norm (implying bounded growth or non-increasing energy), and bounded process noise energy. The proposed approach characterizes all…

系统与控制 · 电气工程与系统科学 2025-11-17 Martina Vanelli , Nima Monshizadeh , Julien M. Hendrickx

Though deep neural networks exhibit superior performance on various tasks, they are still plagued by adversarial examples. Adversarial training has been demonstrated to be the most effective method to defend against adversarial attacks.…

计算机视觉与模式识别 · 计算机科学 2025-11-04 Xin Liu , Yichen Yang , Kun He , John E. Hopcroft

Machine learning algorithms with empirical risk minimization are vulnerable under distributional shifts due to the greedy adoption of all the correlations found in training data. Recently, there are robust learning methods aiming at this…

机器学习 · 计算机科学 2021-05-12 Jiashuo Liu , Zheyan Shen , Peng Cui , Linjun Zhou , Kun Kuang , Bo Li , Yishi Lin

When the distribution of the data used to train a classifier differs from that of the test data, i.e., under dataset shift, well-established routines for calibrating the decision scores of the classifier, estimating the proportion of…

机器学习 · 计算机科学 2025-05-19 Alejandro Moreo

In computational social science, researchers often use a pre-trained, black box classifier to estimate the frequency of each class in unlabeled datasets. A variety of prevalence estimation techniques have been developed in the literature,…

社会与信息网络 · 计算机科学 2024-04-03 Siqi Wu , Paul Resnick