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Recovering missing flows on the edges of a network, while exactly respecting local conservation laws, is a fundamental inverse problem that arises in many systems such as transportation, energy, and mobility. We introduce FlowSymm, a novel…

Machine Learning · Computer Science 2026-03-10 Ege Demirci , Francesco Bullo , Ananthram Swami , Ambuj Singh

Consider an information source generating a symbol at the root of a tree network whose links correspond to noisy communication channels, and broadcasting it through the network. We study the problem of reconstructing the transmitted symbol…

Statistical Mechanics · Physics 2009-11-11 Marc Mezard , Andrea Montanari

We show that standard ResNet architectures can be made invertible, allowing the same model to be used for classification, density estimation, and generation. Typically, enforcing invertibility requires partitioning dimensions or restricting…

Machine Learning · Computer Science 2019-05-21 Jens Behrmann , Will Grathwohl , Ricky T. Q. Chen , David Duvenaud , Jörn-Henrik Jacobsen

Network science provides valuable insights across numerous disciplines including sociology, biology, neuroscience and engineering. A task of major practical importance in these application domains is inferring the network structure from…

Machine Learning · Computer Science 2019-05-01 Vassilis N. Ioannidis , Yanning Shen , Georgios B. Giannakis

We deal with the shape reconstruction of inclusions in elastic bodies. For solving this inverse problem in practice, data fitting functionals are used. Those work better than the rigorous monotonicity methods from [5], but have no…

Numerical Analysis · Mathematics 2022-12-13 Sarah Eberle , Bastian Harrach

The basic inverse problem in spectral graph theory consists in determining the graph given its eigenvalue spectrum. In this paper, we are interested in a network of technological agents whose graph is unknown, communicating by means of a…

Mathematical Physics · Physics 2013-08-20 Enzo Fioriti , Stefano Chiesa , Fabio Fratichini

Deep unfolding methods---for example, the learned iterative shrinkage thresholding algorithm (LISTA)---design deep neural networks as learned variations of optimization methods. These networks have been shown to achieve faster convergence…

Machine Learning · Computer Science 2020-03-19 Huynh Van Luong , Boris Joukovsky , Nikos Deligiannis

Large Reasoning Models (LRMs) often suffer from overthinking, generating unnecessarily long reasoning chains even for simple tasks. This leads to substantial computational overhead with limited performance gain, primarily due to redundant…

Artificial Intelligence · Computer Science 2026-01-13 Ruichu Cai , Haopeng Du , Qingwen Lin , Yutong Chen , Zijian Li , Boyan Xu

To model time-varying nonlinear temporal dynamics in sequential data, a recurrent network capable of varying and adjusting the recurrence depth between input intervals is examined. The recurrence depth is extended by several intermediate…

Machine Learning · Computer Science 2017-08-15 Hyunsin Park , Chang D. Yoo

In the context of state estimation under communication constraints, several notions of dynamical entropy play a fundamental role, among them: topological entropy and restoration entropy. In this paper, we present a theorem which…

Optimization and Control · Mathematics 2019-01-30 Christoph Kawan

The coarsest approximation of the structure of a complex network, such as the Internet, is a simple undirected unweighted graph. This approximation, however, loses too much detail. In reality, objects represented by vertices and edges in…

Networking and Internet Architecture · Computer Science 2009-11-02 Xenofontas Dimitropoulos , Dmitri Krioukov , Amin Vahdat , George Riley

The discovery, representation and reconstruction of (technical) integration networks from Network Mining (NM) raw data is a difficult problem for enterprises. This is due to large and complex IT landscapes within and across enterprise…

Databases · Computer Science 2013-01-09 Daniel Ritter

Stochastic microstructure reconstruction has become an indispensable part of computational materials science, but ongoing developments are specific to particular material systems. In this paper, we address this generality problem by…

Materials Science · Physics 2018-05-09 Xiaolin Li , Yichi Zhang , He Zhao , Craig Burkhart , L Catherine Brinson , Wei Chen

Reconstructing network dynamics from data is crucial for predicting the changes in the dynamics of complex systems such as neuron networks; however, previous research has shown that the reconstruction is possible under strong constraints…

Dynamical Systems · Mathematics 2023-04-07 Irem Topal , Deniz Eroglu

Using a metric related to the returns correlation, a method is proposed to reconstruct an economic space from the market data. A reduced subspace, associated to the systematic structure of the market, is identified and its dimension related…

Statistical Mechanics · Physics 2016-08-16 R. Vilela Mendes , Tanya Araújo , Francisco Louçã

Within network analysis, the analytical maximum entropy framework has been very successful for different tasks as network reconstruction and filtering. In a recent paper, the same framework was used for link-prediction for monopartite…

This paper addresses the problem of estimating link flows in a road network by combining limited traffic volume and vehicle trajectory data. While traffic volume data from loop detectors have been the common data source for link flow…

Machine Learning · Computer Science 2022-06-28 Miner Zhong , Jiwon Kim , Zuduo Zheng

In this paper, we consider the problem of subsampling and reconstruction of signals that reside on the vertices of a product graph, such as sensor network time series, genomic signals, or product ratings in a social network. Specifically,…

Signal Processing · Electrical Eng. & Systems 2018-07-03 Guillermo Ortiz-Jiménez , Mario Coutino , Sundeep Prabhakar Chepuri , Geert Leus

A central issue of the science of complex systems is the quantitative characterization of complexity. In the present work we address this issue by resorting to information geometry. Actually we propose a constructive way to associate to a -…

Mathematical Physics · Physics 2017-12-19 Roberto Franzosi , Domenico Felice , Stefano Mancini , Marco Pettini

The topology of production networks determines the propagation mechanisms of local shocks and thus the co-movement of industries. As a result, we need a more precisely defined production network to model economic growth accurately. In this…

General Economics · Economics 2022-05-19 Eszter Molnár , Dénes Csala
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