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Specify a randomized algorithm that, given a very large graph or network, extracts a random subgraph. What can we learn about the input graph from a single subsample? We derive laws of large numbers for the sampler output, by relating…

Statistics Theory · Mathematics 2017-10-13 Peter Orbanz

A new algorithm is proposed for a) unsupervised learning of sparse representations from subsampled measurements and b) estimating the parameters required for linearly reconstructing signals from the sparse codes. We verify that the new…

Neurons and Cognition · Quantitative Biology 2010-11-02 Guy Isely , Christopher J. Hillar , Friedrich T. Sommer

Systems neuroscience relies on two complementary views of neural data, characterized by single neuron tuning curves and analysis of population activity. These two perspectives combine elegantly in neural latent variable models that…

Molecular dynamics simulations hold great promise for providing insight into the microscopic behavior of complex molecular systems. However, their effectiveness is often constrained by long timescales associated with rare events. Enhanced…

Computational Physics · Physics 2026-03-03 Kai Zhu , Enrico Trizio , Jintu Zhang , Renling Hu , Linlong Jiang , Tingjun Hou , Luigi Bonati

Learning neural subset selection tasks, such as compound selection in AI-aided drug discovery, have become increasingly pivotal across diverse applications. The existing methodologies in the field primarily concentrate on constructing…

Machine Learning · Computer Science 2024-06-11 Binghui Xie , Yatao Bian , Kaiwen zhou , Yongqiang Chen , Peilin Zhao , Bo Han , Wei Meng , James Cheng

We all are fascinated by the phenomena of intelligent behavior, as generated both by our own brains and by the brains of other animals. As physicists we would like to understand if there are some general principles that govern the structure…

Biological Physics · Physics 2007-05-23 William Bialek

A major challenge for building statistical models in the big data era is that the available data volume far exceeds the computational capability. A common approach for solving this problem is to employ a subsampled dataset that can be…

Computation · Statistics 2018-09-14 Lei Han , Kean Ming Tan , Ting Yang , Tong Zhang

We consider the challenges that arise when fitting complex ecological models to 'large' data sets. In particular, we focus on random effect models which are commonly used to describe individual heterogeneity, often present in ecological…

Methodology · Statistics 2022-05-17 Ruth King , Blanca Sarzo , Víctor Elvira

Scientists often use observational time series data to study complex natural processes, but regression analyses often assume simplistic dynamics. Recent advances in deep learning have yielded startling improvements to the performance of…

Machine Learning · Computer Science 2023-04-21 Cory Shain , William Schuler

A broad class of systems, including ecological, epidemiological, and sociological ones, are characterized by populations of individuals assigned to specific categories, e.g., a chemical species, an opinion or an epidemic state, that are…

Statistical Mechanics · Physics 2025-07-17 Giorgio Vittorio Visco , Johannes Nauta , Tomas Scagliarini , Oriol Artime , Manlio De Domenico

A powerful approach for understanding neural population dynamics is to extract low-dimensional trajectories from population recordings using dimensionality reduction methods. Current approaches for dimensionality reduction on neural data…

Machine Learning · Statistics 2017-11-07 Marcel Nonnenmacher , Srinivas C. Turaga , Jakob H. Macke

Sampling biases in training data are a major source of algorithmic biases in machine learning systems. Although there are many methods that attempt to mitigate such algorithmic biases during training, the most direct and obvious way is…

Machine Learning · Statistics 2022-04-15 Laura Niss , Yuekai Sun , Ambuj Tewari

Individual neurons often produce highly variable responses over nominally identical trials, reflecting a mixture of intrinsic "noise" and systematic changes in the animal's cognitive and behavioral state. Disentangling these sources of…

Neurons and Cognition · Quantitative Biology 2021-11-08 Alex H. Williams , Scott W. Linderman

In an era of unprecedented deluge of (mostly unstructured) data, graphs are proving more and more useful, across the sciences, as a flexible abstraction to capture complex relationships between complex objects. One of the main challenges…

Disordered Systems and Neural Networks · Physics 2016-10-17 Alaa Saade

Function and dysfunctions of neural systems are tied to the temporal evolution of neural states. The current limitations in showing their causal role stem largely from the absence of tools capable of probing the brain's internal state in…

Neurons and Cognition · Quantitative Biology 2024-09-24 Ayesha Vermani , Matthew Dowling , Hyungju Jeon , Ian Jordan , Josue Nassar , Yves Bernaerts , Yuan Zhao , Steven Van Vaerenbergh , Il Memming Park

The problem of statistical inference in its various forms has been the subject of decades-long extensive research. Most of the effort has been focused on characterizing the behavior as a function of the number of available samples, with far…

Machine Learning · Computer Science 2024-11-12 Tomer Berg , Or Ordentlich , Ofer Shayevitz

In many real-world binary classification tasks (e.g. detection of certain objects from images), an available dataset is imbalanced, i.e., it has much less representatives of a one class (a minor class), than of another. Generally, accurate…

Machine Learning · Statistics 2017-07-14 Evgeny Burnaev , Pavel Erofeev , Artem Papanov

Sampling of signals defined over the nodes of a graph is one of the crucial problems in graph signal processing. While in classical signal processing sampling is a well defined operation, when we consider a graph signal many new challenges…

Information Theory · Computer Science 2019-05-30 Diego Valsesia , Giulia Fracastoro , Enrico Magli

Data reduction is a fundamental challenge of modern technology, where classical statistical methods are not applicable because of computational limitations. We consider multiple linear regression for an extraordinarily large number of…

Methodology · Statistics 2025-05-30 Torsten Glemser , Rainer Schwabe

Although deep neural networks have provided impressive gains in performance, these improvements often come at the cost of increased computational complexity and expense. In many cases, such as 3D volume or video classification tasks, not…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Sharath M Shankaranarayana , Soumava Kumar Roy , Prasad Sudhakar , Chandan Aladahalli
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