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Exploiting the theory of state space models, we derive the exact expressions of the information transfer, as well as redundant and synergistic transfer, for coupled Gaussian processes observed at multiple temporal scales. All of the terms,…

Methodology · Statistics 2017-08-21 Luca Faes , Daniele Marinazzo , Sebastiano Stramaglia

Modeling deformations of a real object is an important task in computer vision, biomedical engineering and biomechanics. In this paper, we focus on a situation where a three-dimensional object is rotationally deformed about a fixed axis,…

Statistics Theory · Mathematics 2016-06-14 Sungkyu Jung

Performing data augmentation for learning deep neural networks is well known to be important for training visual recognition systems. By artificially increasing the number of training examples, it helps reducing overfitting and improves…

Computer Vision and Pattern Recognition · Computer Science 2018-07-20 Nikita Dvornik , Julien Mairal , Cordelia Schmid

We describe and analyze algorithms for shape-constrained symbolic regression, which allows the inclusion of prior knowledge about the shape of the regression function. This is relevant in many areas of engineering -- in particular whenever…

Neural and Evolutionary Computing · Computer Science 2021-07-21 Christian Haider , Fabricio Olivetti de França , Bogdan Burlacu , Gabriel Kronberger

In recent years, the usefulness of 3D shape estimation is being realized in microscopic or close-range imaging, as the 3D information can further be used in various applications. Due to limited depth of field at such small distances, the…

Computer Vision and Pattern Recognition · Computer Science 2017-01-02 Arnav Bhavsar

In the mammalian brain, many neuronal ensembles are involved in representing spatial structure of the environment. In particular, there exist cells that encode the animal's location and cells that encode head direction. A number of studies…

Neurons and Cognition · Quantitative Biology 2021-08-10 Y. Dabaghian

We consider a noninteracting disordered system designed to model particle diffusion, relaxation in glasses, and impurity bands of semiconductors. Disorder originates in the random spatial distribution of sites. We find strong numerical…

Disordered Systems and Neural Networks · Physics 2015-03-17 Jacob J. Krich , Alán Aspuru-Guzik

Local perturbations around contours strongly disturb the final result of computer vision tasks. It is common to introduce a priori information in the estimation process. Improvement can be achieved via a deformable model such as the snake…

Computer Vision and Pattern Recognition · Computer Science 2016-04-01 R. L. B. Breder , Vania V. Estrela , J. T. de Assis

A central goal of neuroscience is to understand the representations formed by brain activity patterns and their connection to behavior. The classical approach is to investigate how individual neurons encode the stimuli and how their tuning…

Neurons and Cognition · Quantitative Biology 2021-04-21 Nikolaus Kriegeskorte , Xue-Xin Wei

We consider concept generalization at a large scale in the diverse and natural visual spectrum. Established computational modes (i.e., rule-based or similarity-based) are primarily studied isolated and focus on confined and abstract problem…

Artificial Intelligence · Computer Science 2022-11-29 Yu-Zhe Shi , Manjie Xu , John E. Hopcroft , Kun He , Joshua B. Tenenbaum , Song-Chun Zhu , Ying Nian Wu , Wenjuan Han , Yixin Zhu

We introduce a one-parameter deformation for one-dimensional (1D) quantum lattice models, the hyperbolic deformation, where the scale of the local energy is proportional to cosh lambda j at the j-th site. Corresponding to a 2D classical…

Other Condensed Matter · Physics 2010-10-27 Hiroshi Ueda , Hiroki Nakano , Koichi Kusakabe , Tomotoshi Nishino

Human physical reasoning relies on internal "body" representations - coarse, volumetric approximations that capture an object's extent and support intuitive predictions about motion and physics. While psychophysical evidence suggests humans…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Andrey Gizdov , Andrea Procopio , Yichen Li , Daniel Harari , Tomer Ullman

How does the human brain encode complex visual information? While previous research has characterized individual dimensions of visual representation in cortex, we still lack a comprehensive understanding of how visual information is…

Neurons and Cognition · Quantitative Biology 2026-04-08 Raj Magesh Gauthaman , Brice Ménard , Michael F. Bonner

Understanding the inner workings of neural networks, including transformers, remains one of the most challenging puzzles in machine learning. This study introduces a novel approach by applying the principles of gauge symmetries, a key…

Machine Learning · Computer Science 2024-02-06 Koji Hashimoto , Yuji Hirono , Akiyoshi Sannai

We explore the application of volumetric reconstruction from structured-light sensors in cognitive neuroscience, specifically in the quantification of the size-weight illusion, whereby humans tend to systematically perceive smaller objects…

Computer Vision and Pattern Recognition · Computer Science 2013-11-13 J. Balzer , M. Peters , S. Soatto

A new approach to the local and global explanation is proposed. It is based on selecting a convex hull constructed for the finite number of points around an explained instance. The convex hull allows us to consider a dual representation of…

Machine Learning · Computer Science 2024-01-30 Andrei V. Konstantinov , Boris V. Kozlov , Stanislav R. Kirpichenko , Lev V. Utkin

Learning to model and reconstruct humans in clothing is challenging due to articulation, non-rigid deformation, and varying clothing types and topologies. To enable learning, the choice of representation is the key. Recent work uses neural…

Computer Vision and Pattern Recognition · Computer Science 2021-04-16 Qianli Ma , Shunsuke Saito , Jinlong Yang , Siyu Tang , Michael J. Black

Denoising diffusion models enable conditional generation and density modeling of complex relationships like images and text. However, the nature of the learned relationships is opaque making it difficult to understand precisely what…

Machine Learning · Computer Science 2024-05-21 Xianghao Kong , Ollie Liu , Han Li , Dani Yogatama , Greg Ver Steeg

We present a new model for the full shape of large-scale the power spectrum based on renormalized perturbation theory. To test the validity of this prescription, we compare this model against power spectra measured in a suite of 50 large…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-03 Francesco Montesano , Ariel G. Sanchez , Stefanie Phleps

Attention can be used to inform choice selection in contextual bandit tasks even when context features have not been previously experienced. One example of this is in dimensional shifts, where additional feature values are introduced and…

Machine Learning · Computer Science 2025-05-16 Tailia Malloy , Roderick Seow , Cleotilde Gonzalez