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In Multiple-Input Multiple-Output (MIMO) systems, Sphere Decoding (SD) can achieve performance equivalent to full search Maximum Likelihood (ML) decoding, with reduced complexity. Several researchers reported techniques that reduce the…

Information Theory · Computer Science 2015-03-13 Boyu Li , Ender Ayanoglu

In this paper, we introduce a Helmholtz-type decomposition for the space of square integrable, symmetric-matrix-valued functions analogous to the standard Helmholtz decomposition for vector fields. This decomposition provides a better…

Analysis of PDEs · Mathematics 2023-12-15 Evan Miller , Eric Sawyer

While current multi-frame restoration methods combine information from multiple input images using 2D alignment techniques, recent advances in novel view synthesis are paving the way for a new paradigm relying on volumetric scene…

Computer Vision and Pattern Recognition · Computer Science 2023-04-06 Thomas Tanay , Aleš Leonardis , Matteo Maggioni

We propose a scalable tensorization framework for neural network compression based on slice-wise feature distillation. Unlike conventional tensor decomposition methods that rely on costly global finetuning, our approach decomposes the…

Machine Learning · Computer Science 2026-05-20 Safa Hamreras , Sukhbinder Singh , Román Orús

Multivariate time series (MTS) forecasting is crucial for decision-making in domains such as weather, energy, and finance. It remains challenging because real-world sequences intertwine slow trends, multi-rate seasonalities, and irregular…

Machine Learning · Computer Science 2026-02-06 Shunya Nagashima , Shuntaro Suzuki , Shuitsu Koyama , Shinnosuke Hirano

Summarization systems make numerous "decisions" about summary properties during inference, e.g. degree of copying, specificity and length of outputs, etc. However, these are implicitly encoded within model parameters and specific styles…

Computation and Language · Computer Science 2022-10-24 Tanya Goyal , Nazneen Fatema Rajani , Wenhao Liu , Wojciech Kryściński

Collecting robotic manipulation data is expensive, making it impractical to acquire demonstrations for the combinatorially large space of tasks that arise in multi-object, multi-robot, and multi-environment settings. While recent generative…

Decoupling is a powerful modeling paradigm for representing multivariate functions as compositions of linear transformations and univariate nonlinear functions. A single-layer decoupling can be viewed as a fully connected neural network…

Machine Learning · Computer Science 2026-05-20 Joppe De Jonghe , Van Tien Pham , Mariya Ishteva

Tensor decomposition methods allow us to learn the parameters of latent variable models through decomposition of low-order moments of data. A significant limitation of these algorithms is that there exists no general method to regularize…

Machine Learning · Statistics 2019-05-28 Omer Gottesman , Weiwei Pan , Finale Doshi-Velez

A rapid algorithm is derived for the Helmholtz--Hodge decomposition on the surface of the sphere in spherical coordinates. The algorithm uncouples modes of spherical harmonics with different absolute order, writes the conversion as…

Numerical Analysis · Mathematics 2018-09-13 Julien Molina , Richard Mikael Slevinsky

In recent years, the research community has shown a lot of interest to panoramic images that offer a 360-degree directional perspective. Multiple data modalities can be fed, and complimentary characteristics can be utilized for more robust…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Suresh Guttikonda , Jason Rambach

Conventional CNNs for texture synthesis consist of a sequence of (de)-convolution and up/down-sampling layers, where each layer operates locally and lacks the ability to capture the long-term structural dependency required by texture…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Guilin Liu , Rohan Taori , Ting-Chun Wang , Zhiding Yu , Shiqiu Liu , Fitsum A. Reda , Karan Sapra , Andrew Tao , Bryan Catanzaro

We propose spatially-adaptive normalization, a simple but effective layer for synthesizing photorealistic images given an input semantic layout. Previous methods directly feed the semantic layout as input to the deep network, which is then…

Computer Vision and Pattern Recognition · Computer Science 2019-11-06 Taesung Park , Ming-Yu Liu , Ting-Chun Wang , Jun-Yan Zhu

We present a data-driven method for separating complex, multiscale systems into their constituent time-scale components using a recursive implementation of dynamic mode decomposition (DMD). Local linear models are built from windowed…

Systems and Control · Computer Science 2019-06-26 Daniel Dylewsky , Molei Tao , J. Nathan Kutz

Functional decomposition is a powerful tool for systems analysis because it can reduce a function of arbitrary input dimensions to the sum and superposition of functions of a single variable, thereby mitigating (or potentially avoiding) the…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Jonah J. Glunt , Jacob A. Siefert , Andrew F. Thompson , Justin Ruths , Herschel C. Pangborn

The explicit connection between the transition matrix and boundary element method integral operators is formulated. This enables the calculation of characteristic modes via eigenvalue problems involving either set of operators, leading to…

Computational Physics · Physics 2024-12-25 Lukas Jelinek , Kurt Schab , Viktor Hruska , Miloslav Capek , Mats Gustafsson

Optical approaches for wavefront shaping traditionally rely on phase modulation through holographic techniques. Shaping the phase determines a wave's diffraction and hence its intensity distribution in space. We instead show that shaping…

One of the main applications of electromagnetic metasurfaces (MSs) is to tailor spatial field distributions. The radiation pattern of a given source can be desirably modified upon reflection on an MS having proper spatial modulation of its…

One-dimensional signal decomposition is a well-established and widely used technique across various scientific fields. It serves as a highly valuable pre-processing step for data analysis. While traditional decomposition techniques often…

Machine Learning · Computer Science 2025-06-09 Samuele Salti , Andrea Pinto , Alessandro Lanza , Serena Morigi

Self-organizing systems demonstrate how simple local rules can generate complex stochastic patterns. Many natural systems rely on such dynamics, making self-organization central to understanding natural complexity. A fundamental challenge…

Adaptation and Self-Organizing Systems · Physics 2026-01-12 Elias Najarro , Nicolas Bessone , Sebastian Risi