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In this paper we derive an efficient algorithm to learn the parameters of structured predictors in general graphical models. This algorithm blends the learning and inference tasks, which results in a significant speedup over traditional…

Machine Learning · Computer Science 2013-09-02 Tamir Hazan , Alexander Schwing , David McAllester , Raquel Urtasun

This work proposes to combine neural networks with the compositional hierarchy of human bodies for efficient and complete human parsing. We formulate the approach as a neural information fusion framework. Our model assembles the information…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Wenguan Wang , Zhijie Zhang , Siyuan Qi , Jianbing Shen , Yanwei Pang , Ling Shao

The information processing abilities of a multilayer neural network with a number of hidden units scaling as the input dimension are studied using statistical mechanics methods. The mapping from the input layer to the hidden units is…

Statistical Mechanics · Physics 2009-11-07 Michal Rosen-Zvi , Andreas Engel , Ido Kanter

The capacity to integrate information is a prominent feature of biological and cognitive systems. Integrated Information Theory (IIT) provides a mathematical approach to quantify the level of integration in a system, yet its computational…

Neurons and Cognition · Quantitative Biology 2020-08-31 Miguel Aguilera , Ezequiel Di Paolo

Detecting anomalies and discovering driving signals is an essential component of scientific research and industrial practice. Often the underlying mechanism is highly complex, involving hidden evolving nonlinear dynamics and noise…

Machine Learning · Computer Science 2018-06-13 Bin Li , Yueheng Lan , Weisi Guo , Chenglin Zhao

The problem of reconstructing nonlinear and complex dynamical systems from measured data or time series is central to many scientific disciplines including physical, biological, computer, and social sciences, as well as engineering and…

Data Analysis, Statistics and Probability · Physics 2017-05-01 Wenxu Wang , Ying-Cheng Lai , Celso Grebogi

The evolution of symbolic communication is a longstanding open research question in biology. While some theories suggest that it originated from sub-symbolic communication (i.e., iconic or indexical), little experimental evidence exists on…

Neural and Evolutionary Computing · Computer Science 2021-04-01 Quintino Francesco Lotito , Leonardo Lucio Custode , Giovanni Iacca

The activity of neurons within brain circuits has been ubiquitously reported to be correlated. The impact of these correlations on brain function has been extensively investigated. Correlations can in principle increase or decrease the…

Neurons and Cognition · Quantitative Biology 2025-07-24 Miguel Ibáñez-Berganza , Giulio Bondanelli , Stefano Panzeri

To gain insight into the mechanisms behind machine learning methods, it is crucial to establish connections among the features describing data points. However, these correlations often exhibit a high-dimensional and strongly nonlinear…

Machine Learning · Computer Science 2025-03-04 Lorenzo Basile , Santiago Acevedo , Luca Bortolussi , Fabio Anselmi , Alex Rodriguez

Biological visual systems learn from limited experience, unlike deep learning models that rely on millions of training images. What learning principles make this possible? We tested whether efficient coding, the idea that neural…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Ananya Passi , Brian S. Robinson , Michael F. Bonner

Biological and artificial neural systems are composed of many local processors, and their capabilities depend upon the transfer function that relates each local processor's outputs to its inputs. This paper uses a recent advance in the…

Information Theory · Computer Science 2018-03-16 Jim W. Kay , William A. Phillips

Optimization algorithms can be interpreted through the lens of dynamical systems as the interconnection of linear systems and a set of subgradient nonlinearities. This dynamical systems formulation allows for the analysis and synthesis of…

Optimization and Control · Mathematics 2026-03-27 Jared Miller , Carsten Scherer , Fabian Jakob , Andrea Iannelli

Time-delay mappings constructed using neural networks have proven successful in performing nonlinear system identification; however, because of their discrete nature, their use in bifurcation analysis of continuous-time systems is limited.…

Shared upstream dynamical processes are frequently the source of common inputs in various physical and biological systems. However, due to finite signal transmission speeds and differences in the distance to the source, time shifts between…

Neurons and Cognition · Quantitative Biology 2017-03-10 Ehsan Bolhasani , Yousef Azizi , Alireza Valizadeh , Matjaz Perc

Implicit Neural Representations (INRs) are widely used to encode data as continuous functions, enabling the visualization of large-scale multivariate scientific simulation data with reduced memory usage. However, existing INR-based methods…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Hyunsoo Son , Jeonghyun Noh , Suemin Jeon , Chaoli Wang , Won-Ki Jeong

Multi-channel acoustic signal processing is a well-established and powerful tool to exploit the spatial diversity between a target signal and non-target or noise sources for signal enhancement. However, the textbook solutions for optimal…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-14 Reinhold Haeb-Umbach , Tomohiro Nakatani , Marc Delcroix , Christoph Boeddeker , Tsubasa Ochiai

A fundamental problem in statistical neuroscience is to model how neurons encode information by analyzing electrophysiological recordings. A popular and widely-used approach is to fit the spike trains with an autoregressive point process…

Machine Learning · Statistics 2020-09-04 Matthew Dowling , Yuan Zhao , Il Memming Park

In this review, we examine an extended Bayesian inference method and its relation to biological information processing. We discuss the idea of combining two modes of Bayesian inference. The first is the standard Bayesian inference, which…

Other Statistics · Statistics 2023-07-04 Vasileios Basios , Yukio-Pegio Gunji , Pier-Francesco Moretti

Cells use biochemical networks to translate environmental information into intracellular responses. These responses can be highly dynamic, but how the information is encoded in these dynamics remains poorly understood. Here we investigate…

Cell Behavior · Quantitative Biology 2017-04-05 Garrett D. Potter , Tommy A. Byrd , Andrew Mugler , Bo Sun

Mathematical programming formulations of influence diagrams can bridge the gap between representing and solving decision problems. However, they suffer from both modeling and computational limitations. Aiming to address modeling…

Optimization and Control · Mathematics 2025-06-19 Olli Herrala , Tommi Ekholm , Fabricio Oliveira