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Extending the success of deep neural networks to natural language understanding and symbolic reasoning requires complex operations and external memory. Recent neural program induction approaches have attempted to address this problem, but…

Computation and Language · Computer Science 2016-12-06 Chen Liang , Jonathan Berant , Quoc Le , Kenneth D. Forbus , Ni Lao

Dictionary learning methods continue to gain popularity for the solution of challenging inverse problems. In the dictionary learning approach, the computational forward model is replaced by a large dictionary of possible outcomes, and the…

Machine Learning · Statistics 2023-09-06 Alberto Bocchinfuso , Daniela Calvetti , Erkki Somersalo

In most real-world applications of artificial intelligence, the distributions of the data and the goals of the learners tend to change over time. The Probably Approximately Correct (PAC) learning framework, which underpins most machine…

Machine Learning · Computer Science 2025-11-13 Yuxin Bai , Cecelia Shuai , Ashwin De Silva , Siyu Yu , Pratik Chaudhari , Joshua T. Vogelstein

One important challenge for probabilistic logics is reasoning with very large knowledge bases (KBs) of imperfect information, such as those produced by modern web-scale information extraction systems. One scalability problem shared by many…

Artificial Intelligence · Computer Science 2014-04-15 William Yang Wang , Kathryn Mazaitis , Ni Lao , Tom Mitchell , William W. Cohen

Core computations in Graph Neural Network (GNN) training and inference are often mapped to sparse matrix operations such as sparse-dense matrix multiplication (SpMM). These sparse operations are harder to optimize by manual tuning because…

Machine Learning · Computer Science 2024-03-25 Md Saidul Hoque Anik , Pranav Badhe , Rohit Gampa , Ariful Azad

Developing computationally-efficient codes that approach the Shannon-theoretic limits for communication and compression has long been one of the major goals of information and coding theory. There have been significant advances towards this…

Information Theory · Computer Science 2019-11-05 Ramji Venkataramanan , Sekhar Tatikonda , Andrew Barron

Dictionary learning is a cutting-edge area in imaging processing, that has recently led to state-of-the-art results in many signal processing tasks. The idea is to conduct a linear decomposition of a signal using a few atoms of a learned…

Machine Learning · Statistics 2016-05-26 Simeng Qu , Xiao Wang

We elaborate on using importance sampling for causal reasoning, in particular for counterfactual inference. We show how this can be implemented natively in probabilistic programming. By considering the structure of the counterfactual query,…

Artificial Intelligence · Computer Science 2020-01-29 Yura Perov , Logan Graham , Kostis Gourgoulias , Jonathan G. Richens , Ciarán M. Lee , Adam Baker , Saurabh Johri

Dictionary learning is a branch of signal processing and machine learning that aims at finding a frame (called dictionary) in which some training data admits a sparse representation. The sparser the representation, the better the…

Machine Learning · Computer Science 2015-02-27 Luc Le Magoarou , Rémi Gribonval

We present PredProp, a method for optimization of weights and states in predictive coding networks (PCNs) based on the precision of propagated errors and neural activity. PredProp jointly addresses inference and learning via stochastic…

Machine Learning · Computer Science 2023-05-08 André Ofner , Sebastian Stober

The dictionary-aided sparse regression (SR) approach has recently emerged as a promising alternative to hyperspectral unmixing (HU) in remote sensing. By using an available spectral library as a dictionary, the SR approach identifies the…

Machine Learning · Statistics 2016-08-24 Xiao Fu , Wing-Kin Ma , José Bioucas-Dias , Tsung-Han Chan

In the dictionary learning (or sparse coding) problem, we are given a collection of signals (vectors in $\mathbb{R}^d$), and the goal is to find a "basis" in which the signals have a sparse (approximate) representation. The problem has…

Machine Learning · Computer Science 2019-05-30 Aditya Bhaskara , Wai Ming Tai

A large amount of data is produced every second from modern information systems such as mobile devices, the world wide web, Internet of Things, social media, etc. Analysis and mining of this massive data requires a lot of advanced tools and…

Machine Learning · Computer Science 2020-01-13 Rising Odegua , Festus Ikpotokin

We present theoretical guarantees for an alternating minimization algorithm for the dictionary learning/sparse coding problem. The dictionary learning problem is to factorize vector samples $y^{1},y^{2},\ldots, y^{n}$ into an appropriate…

Machine Learning · Statistics 2019-08-01 Niladri S. Chatterji , Peter L. Bartlett

The ongoing trend of hardware specialization has led to a growing use of custom data formats when processing sparse workloads, which are typically memory-bound. These formats facilitate optimized software/hardware implementations by…

Computation and Language · Computer Science 2024-03-12 Jie Liu , Zhongyuan Zhao , Zijian Ding , Benjamin Brock , Hongbo Rong , Zhiru Zhang

The celebrated sparse representation model has led to remarkable results in various signal processing tasks in the last decade. However, despite its initial purpose of serving as a global prior for entire signals, it has been commonly used…

Information Theory · Computer Science 2017-02-23 Vardan Papyan , Jeremias Sulam , Michael Elad

Sparse representations of images are useful in many computer vision applications. Sparse coding with an $l_1$ penalty and a learned linear dictionary requires regularization of the dictionary to prevent a collapse in the $l_1$ norms of the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-09 Katrina Evtimova , Yann LeCun

Python has become the de-facto language for training deep neural networks, coupling a large suite of scientific computing libraries with efficient libraries for tensor computation such as PyTorch or TensorFlow. However, when models are used…

Machine Learning · Computer Science 2021-04-02 Zachary DeVito , Jason Ansel , Will Constable , Michael Suo , Ailing Zhang , Kim Hazelwood

Sparse representation has been applied successfully in abnormal event detection, in which the baseline is to learn a dictionary accompanied by sparse codes. While much emphasis is put on discriminative dictionary construction, there are no…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Huamin Ren , Hong Pan , Søren Ingvor Olsen , Thomas B. Moeslund

Categorizing source codes accurately and efficiently is a challenging problem in real-world programming education platform management. In recent years, model-based approaches utilizing abstract syntax trees (ASTs) have been widely applied…

Programming Languages · Computer Science 2023-11-14 Ziyang Xiang , Zaixi Zhang , Qi Liu