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Principal Component Analysis (PCA) minimizes the reconstruction error given a class of linear models of fixed component dimensionality. Probabilistic PCA adds a probabilistic structure by learning the probability distribution of the PCA…

Machine Learning · Computer Science 2022-09-20 Vanessa Böhm , Uroš Seljak

Polynomial chaos expansion (PCE) is a classical and widely used surrogate modeling technique in physical simulation and uncertainty quantification. By taking a linear combination of a set of basis polynomials - orthonormal with respect to…

Machine Learning · Computer Science 2026-04-01 Johannes Exenberger , Sascha Ranftl , Robert Peharz

We show that cluster expansions (CE), previously used to model solid-state materials with binary or ternary configurational disorder, can be extended to the protein design problem. We present a generalized CE framework, in which properties…

Biological Physics · Physics 2015-11-17 Fei Zhou , Gevorg Grigoryan , Steve R. Lustig , Amy E. Keating , Gerbrand Ceder , Dane Morgan

The working mechanisms of complex natural systems tend to abide by concise and profound partial differential equations (PDEs). Methods that directly mine equations from data are called PDE discovery, which reveals consistent physical laws…

Machine Learning · Computer Science 2023-03-17 Mengge Du , Yuntian Chen , Dongxiao Zhang

Unsupervised sentence embedding aims to obtain the most appropriate embedding for a sentence to reflect its semantic. Contrastive learning has been attracting developing attention. For a sentence, current models utilize diverse data…

Computation and Language · Computer Science 2022-03-03 Hao Wang , Yangguang Li , Zhen Huang , Yong Dou , Lingpeng Kong , Jing Shao

A powerful and flexible approach to structured prediction consists in embedding the structured objects to be predicted into a feature space of possibly infinite dimension by means of output kernels, and then, solving a regression problem in…

Machine Learning · Statistics 2020-11-03 Luc Brogat-Motte , Alessandro Rudi , Céline Brouard , Juho Rousu , Florence d'Alché-Buc

Counterfactual explanations (CEs) aim to enhance the interpretability of machine learning models by illustrating how alterations in input features would affect the resulting predictions. Common CE approaches require an additional model and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-02 Matan Atad , David Schinz , Hendrik Moeller , Robert Graf , Benedikt Wiestler , Daniel Rueckert , Nassir Navab , Jan S. Kirschke , Matthias Keicher

We demonstrate a new deep learning autoencoder network, trained by a nonnegativity constraint algorithm (NCAE), that learns features which show part-based representation of data. The learning algorithm is based on constraining negative…

Machine Learning · Computer Science 2016-01-13 Ehsan Hosseini-Asl , Jacek M. Zurada , Olfa Nasraoui

We present the Neural Physics Engine (NPE), a framework for learning simulators of intuitive physics that naturally generalize across variable object count and different scene configurations. We propose a factorization of a physical scene…

Artificial Intelligence · Computer Science 2017-03-07 Michael B. Chang , Tomer Ullman , Antonio Torralba , Joshua B. Tenenbaum

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

This paper studies the fundamental problem of learning energy-based model (EBM) in the latent space of the generator model. Learning such prior model typically requires running costly Markov Chain Monte Carlo (MCMC). Instead, we propose to…

Machine Learning · Computer Science 2022-09-20 Zhisheng Xiao , Tian Han

Accelerating the learning of Partial Differential Equations (PDEs) from experimental data will speed up the pace of scientific discovery. Previous randomized algorithms exploit sparsity in PDE updates for acceleration. However such methods…

Machine Learning · Computer Science 2023-09-15 Md Nasim , Yexiang Xue

Determinantal Point Processes (DPPs) have attracted significant interest from the machine-learning community due to their ability to elegantly and tractably model the delicate balance between quality and diversity of sets. DPPs are commonly…

Machine Learning · Computer Science 2019-02-27 Zelda Mariet , Mike Gartrell , Suvrit Sra

Concrete is the most widely used construction material worldwide; however, reliable prediction of compressive strength remains challenging due to material heterogeneity, variable mix proportions, and sensitivity to field and environmental…

Machine Learning · Computer Science 2026-01-15 Md Asiful Islam , Md Ahmed Al Muzaddid , Afia Jahin Prema , Sreenath Reddy Vuske

The use of ultrasonic guided waves to probe the materials/structures for damage continues to increase in popularity for non-destructive evaluation (NDE) and structural health monitoring (SHM). The use of high-frequency waves such as these…

Surrogate modeling of costly mathematical models representing physical systems is challenging since it is typically not possible to create a large experimental design. Thus, it is beneficial to constrain the approximation to adhere to the…

Machine Learning · Computer Science 2023-09-06 Lukáš Novák , Himanshu Sharma , Michael D. Shields

This paper presents Prototypical Contrastive Learning (PCL), an unsupervised representation learning method that addresses the fundamental limitations of instance-wise contrastive learning. PCL not only learns low-level features for the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Junnan Li , Pan Zhou , Caiming Xiong , Steven C. H. Hoi

Recent advancements in discrete image generation showed that scaling the VQ codebook size significantly improves reconstruction fidelity. However, training generative models with a large VQ codebook remains challenging, typically requiring…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Shufan Li , Jiuxiang Gu , Kangning Liu , Zhe Lin , Aditya Grover , Jason Kuen

Spurious correlations pose a major challenge for robust machine learning. Models trained with empirical risk minimization (ERM) may learn to rely on correlations between class labels and spurious attributes, leading to poor performance on…

Machine Learning · Computer Science 2024-12-12 Michael Zhang , Nimit S. Sohoni , Hongyang R. Zhang , Chelsea Finn , Christopher Ré

To explain the decision of any model, we extend the notion of probabilistic Sufficient Explanations (P-SE). For each instance, this approach selects the minimal subset of features that is sufficient to yield the same prediction with high…

Machine Learning · Statistics 2022-10-17 Salim I. Amoukou , Nicolas J. B Brunel