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We propose a technique for reformulation of state and parameter estimation problems as that of matching explicitly computable definite integrals with known kernels to data. The technique applies for a class of systems of nonlinear ordinary…

Optimization and Control · Mathematics 2013-09-11 I. Yu. Tyukin , A. N. Gorban

Despite outstanding contribution to the significant progress of Artificial Intelligence (AI), deep learning models remain mostly black boxes, which are extremely weak in explainability of the reasoning process and prediction results.…

Machine Learning · Computer Science 2020-02-11 Sheng Shi , Xinfeng Zhang , Wei Fan

Distributions over rankings are used to model data in a multitude of real world settings such as preference analysis and political elections. Modeling such distributions presents several computational challenges, however, due to the…

Machine Learning · Computer Science 2014-01-27 Jonathan Huang , Ashish Kapoor , Carlos Guestrin

We study the problem of estimating the distribution of the return of a policy using an offline dataset that is not generated from the policy, i.e., distributional offline policy evaluation (OPE). We propose an algorithm called Fitted…

Machine Learning · Computer Science 2024-01-01 Runzhe Wu , Masatoshi Uehara , Wen Sun

Understanding why a model makes certain predictions is crucial when adapting it for real world decision making. LIME is a popular model-agnostic feature attribution method for the tasks of classification and regression. However, the task of…

Information Retrieval · Computer Science 2022-12-27 Tanya Chowdhury , Razieh Rahimi , James Allan

Bayesian Optimization is a widely used method for optimizing expensive black-box functions, relying on probabilistic surrogate models such as Gaussian Processes. The quality of the surrogate model is crucial for good optimization…

Machine Learning · Computer Science 2025-12-16 Carl Hvarfner , David Eriksson , Eytan Bakshy , Max Balandat

Modern machine learning algorithms are increasingly computationally demanding, requiring specialized hardware and distributed computation to achieve high performance in a reasonable time frame. Many hyperparameter search algorithms have…

Machine Learning · Computer Science 2018-07-16 Richard Liaw , Eric Liang , Robert Nishihara , Philipp Moritz , Joseph E. Gonzalez , Ion Stoica

We propose an inference procedure for estimators defined by mathematical programming problems, focusing on the important special cases of linear programming (LP) and quadratic programming (QP). In these settings, the coefficients in both…

Econometrics · Economics 2017-09-27 Yu-Wei Hsieh , Xiaoxia Shi , Matthew Shum

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

Machine Learning · Statistics 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

Datasets often incorporate various functional patterns related to different aspects or regimes, which are typically not equally present throughout the dataset. We propose a novel, general-purpose partitioning algorithm that utilizes…

Machine Learning · Computer Science 2025-12-02 Marius Tacke , Matthias Busch , Kevin Linka , Christian J. Cyron , Roland C. Aydin

This work considers identifying parameters characterizing a physical system's dynamic motion directly from a video whose rendering configurations are inaccessible. Existing solutions require massive training data or lack generalizability to…

Computer Vision and Pattern Recognition · Computer Science 2022-05-12 Pingchuan Ma , Tao Du , Joshua B. Tenenbaum , Wojciech Matusik , Chuang Gan

Segmenting unseen object instances in cluttered environments is an important capability that robots need when functioning in unstructured environments. While previous methods have exhibited promising results, they still tend to provide…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Christopher Xie , Arsalan Mousavian , Yu Xiang , Dieter Fox

Model-based clustering is a powerful tool that is often used to discover hidden structure in data by grouping observational units that exhibit similar response values. Recently, clustering methods have been developed that permit…

Methodology · Statistics 2025-06-24 Sally Paganin , Garritt L. Page , Fernando Andrés Quintana

One of the most important aspects of current expert systems technology is the ability to make causal inferences about the impact of new evidence. When the domain knowledge and problem knowledge are uncertain and incomplete Bayesian…

Artificial Intelligence · Computer Science 2013-04-12 Lashon B. Booker , Naveen Hota

We propose Predict then Interpolate (PI), a simple algorithm for learning correlations that are stable across environments. The algorithm follows from the intuition that when using a classifier trained on one environment to make predictions…

Machine Learning · Computer Science 2021-05-27 Yujia Bao , Shiyu Chang , Regina Barzilay

Information Pursuit (IP) is an explainable prediction algorithm that greedily selects a sequence of interpretable queries about the data in order of information gain, updating its posterior at each step based on observed query-answer pairs.…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Stefan Kolek , Aditya Chattopadhyay , Kwan Ho Ryan Chan , Hector Andrade-Loarca , Gitta Kutyniok , Réne Vidal

Standard supervised classification trains models to imitate the exact labels provided by a perfect oracle. This imitation happens in a single pass, restricting the model to a fixed compute budget even when inputs vary in complexity.…

Machine Learning · Computer Science 2026-04-27 Mahdi Kallel , Johannes Tölle , Ahmed Hendawy , Carlo D'Eramo

There has been rapid progress recently on the application of deep networks to the solution of partial differential equations, collectively labelled as Physics Informed Neural Networks (PINNs). In this paper, we develop Physics Informed…

Machine Learning · Computer Science 2019-07-09 Vikas Dwivedi , Balaji Srinivasan

Ordinal user-provided ratings across multiple items are frequently encountered in both scientific and commercial applications. Whilst recommender systems are known to do well on these type of data from a predictive point of view, their…

Methodology · Statistics 2025-03-05 Sjoerd Hermes

This paper considers sparse linear discriminant analysis of high-dimensional data. In contrast to the existing methods which are based on separate estimation of the precision matrix $\O$ and the difference $\de$ of the mean vectors, we…

Methodology · Statistics 2011-07-19 Tony Cai , Weidong Liu