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One of the goals of probabilistic inference is to decide whether an empirically observed distribution is compatible with a candidate Bayesian network. However, Bayesian networks with hidden variables give rise to highly non-trivial…

机器学习 · 统计学 2014-10-14 R. Chaves , L. Luft , T. O. Maciel , D. Gross , D. Janzing , B. Schölkopf

Deep Neural Networks (DNNs) are well-known to act as over-parameterized deep image priors (DIP) that regularize various image inverse problems. Meanwhile, researchers also proposed extremely compact, under-parameterized image priors (e.g.,…

计算机视觉与模式识别 · 计算机科学 2024-11-01 Qiming Wu , Xiaohan Chen , Yifan Jiang , Zhangyang Wang

Establishing a sparse set of keypoint correspon dences between images is a fundamental task in many computer vision pipelines. Often, this translates into a computationally expensive nearest neighbor search, where every keypoint descriptor…

计算机视觉与模式识别 · 计算机科学 2022-08-11 Emanuele Santellani , Christian Sormann , Mattia Rossi , Andreas Kuhn , Friedrich Fraundorfer

Structured prediction is used in areas such as computer vision and natural language processing to predict structured outputs such as segmentations or parse trees. In these settings, prediction is performed by MAP inference or, equivalently,…

机器学习 · 统计学 2016-04-28 Ofer Meshi , Mehrdad Mahdavi , Adrian Weller , David Sontag

Autoencoders learn data representations (codes) in such a way that the input is reproduced at the output of the network. However, it is not always clear what kind of properties of the input data need to be captured by the codes. Kernel…

机器学习 · 统计学 2018-07-24 Michael Kampffmeyer , Sigurd Løkse , Filippo M. Bianchi , Robert Jenssen , Lorenzo Livi

From physics to engineering, biology and social science, natural and artificial systems are characterized by interconnected topologies whose features - e.g., heterogeneous connectivity, mesoscale organization, hierarchy - affect their…

物理与社会 · 物理学 2021-09-01 Marco Grassia , Manlio De Domenico , Giuseppe Mangioni

We introduce the Hierarchically Interacting Particle Neural Network (HIP-NN) to model molecular properties from datasets of quantum calculations. Inspired by a many-body expansion, HIP-NN decomposes properties, such as energy, as a sum over…

机器学习 · 统计学 2018-04-04 Nicholas Lubbers , Justin S. Smith , Kipton Barros

In this work, we investigated the feasibility of applying deep learning techniques to solve Poisson's equation. A deep convolutional neural network is set up to predict the distribution of electric potential in 2D or 3D cases. With proper…

计算物理 · 物理学 2017-12-18 Tao Shan , Wei Tang , Xunwang Dang , Maokun Li , Fan Yang , Shenheng Xu , Ji Wu

Graph neural networks (GNNs) are a popular class of machine learning models whose major advantage is their ability to incorporate a sparse and discrete dependency structure between data points. Unfortunately, GNNs can only be used when such…

机器学习 · 计算机科学 2020-06-22 Luca Franceschi , Mathias Niepert , Massimiliano Pontil , Xiao He

In this work we employ machine learning to understand structured mathematical data involving finite groups and derive a theorem about necessary properties of generators of finite simple groups. We create a database of all 2-generated…

机器学习 · 计算机科学 2024-04-16 Yang-Hui He , Vishnu Jejjala , Challenger Mishra , Em Sharnoff

Many learning algorithms such as kernel machines, nearest neighbors, clustering, or anomaly detection, are based on the concept of 'distance' or 'similarity'. Before similarities are used for training an actual machine learning model, we…

Neural network decoding algorithms are recently introduced by Nachmani et al. to decode high-density parity-check (HDPC) codes. In contrast with iterative decoding algorithms such as sum-product or min-sum algorithms in which the weight of…

信息论 · 计算机科学 2018-09-14 Mohammad-Reza Sadeghi , Farzane Amirzade , Daniel Panario , Amin Sakzad

When artificial neural networks have demonstrated exceptional practical success in a variety of domains, investigations into their theoretical characteristics, such as their approximation power, statistical properties, and generalization…

机器学习 · 统计学 2023-10-06 Shijin Gong , Xinyu Zhang

The process of identifying and characterizing B-cell epitopes, which are the portions of antigens recognized by antibodies, is important for our understanding of the immune system, and for many applications including vaccine development,…

定量方法 · 定量生物学 2025-12-10 Xiao Yuan

In this paper, we propose a learning-based image fragment pair-searching and -matching approach to solve the challenging restoration problem. Existing works use rule-based methods to match similar contour shapes or textures, which are…

计算机视觉与模式识别 · 计算机科学 2025-01-23 Rixin Zhou , Ding Xia , Yi Zhang , Honglin Pang , Xi Yang , Chuntao Li

Integer Linear Programming (ILP) can be seen as the archetypical problem for NP-complete optimization problems, and a wide range of problems in artificial intelligence are solved in practice via a translation to ILP. Despite its huge range…

数据结构与算法 · 计算机科学 2018-09-05 Robert Ganian , Sebastian Ordyniak

Many types of data from fields including natural language processing, computer vision, and bioinformatics, are well represented by discrete, compositional structures such as trees, sequences, or matchings. Latent structure models are a…

机器学习 · 计算机科学 2026-02-04 Vlad Niculae , Caio F. Corro , Nikita Nangia , Tsvetomila Mihaylova , André F. T. Martins

Complex nonlinear models such as deep neural network (DNNs) have become an important tool for image classification, speech recognition, natural language processing, and many other fields of application. These models however lack…

The problem of optimizing over random structures emerges in many areas of science and engineering, ranging from statistical physics to machine learning and artificial intelligence. For many such structures finding optimal solutions by means…

计算复杂性 · 计算机科学 2022-10-12 David Gamarnik

Predicting the properties of a material from the arrangement of its atoms is a fundamental goal in materials science. While machine learning has emerged in recent years as a new paradigm to provide rapid predictions of materials properties,…

材料科学 · 物理学 2021-01-29 Chi Chen , Yunxing Zuo , Weike Ye , Xiangguo Li , Shyue Ping Ong