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Collective decision-making requires aggregating multiple noisy information channels about an unknown state of the world. Classical epistemic justifications of majority rule rely on homogeneity assumptions often violated when individual…

General Economics · Economics 2026-04-09 Enrico Manfredi

Mixture-of-Experts (MoE) models enable conditional computation by routing inputs to specialized experts, but these experts rely on identical inductive biases, thus limiting representational diversity. This static computation pathway is…

Artificial Intelligence · Computer Science 2025-07-02 Sanskar Pandey , Ruhaan Chopra , Saad Murtaza Bhat , Ark Abhyudaya

Embedding benchmarks like MTEB report a single score per model, implicitly treating robustness as a static, scalar property. We argue that embedding robustness is multidimensional, since models respond differently to different types of…

Computation and Language · Computer Science 2026-05-28 Manuel Frank , Haithem Afli

The design of physics-augmented neural networks (PANNs) for the purposes of constitutive modeling has received considerable attention as of late for a variety of material behaviors. Here, we revisit the classical framework of isotropic…

Mathematical Physics · Physics 2026-05-20 Maximilian P. Wollner , Dominik K. Klein , Herbert Baaser , Gerhard A. Holzapfel , Patrizio Neff

Benchmarks for the evaluation of model performance play an important role in machine learning. However, there is no established way to describe and create new benchmarks. What is more, the most common benchmarks use performance measures…

Machine Learning · Computer Science 2022-09-23 Alicja Gosiewska , Katarzyna Woźnica , Przemysław Biecek

We exhibit an analogy between the problem of pushing forward measurable sets under measure preserving maps and linear relaxations in combinatorialoptimization. We show how invariance of hyperfiniteness of graphings under local isomorphism…

Combinatorics · Mathematics 2021-02-17 László Lovász

We study stochastic combinatorial optimization problems where the objective is to minimize the expected maximum load (a.k.a.\ the makespan). In this framework, we have a set of $n$ tasks and $m$ resources, where each task $j$ uses some…

Data Structures and Algorithms · Computer Science 2021-06-25 Anupam Gupta , Amit Kumar , Viswanath Nagarajan , Xiangkun Shen

In federated learning, differences in the data or objectives between the participating nodes motivate approaches to train a personalized machine learning model for each node. One such approach is weighted averaging between a locally trained…

Machine Learning · Computer Science 2021-10-26 Felix Grimberg , Mary-Anne Hartley , Sai P. Karimireddy , Martin Jaggi

We study the complexity of reductions for weighted reachability in parametric Markov decision processes. That is, we say a state p is never worse than q if for all valuations of the polynomial indeterminates it is the case that the maximal…

Logic in Computer Science · Computer Science 2023-05-11 Kasper Engelen , Guillermo A. Pérez , Shrisha Rao

Mixtures of experts probabilistically divide the input space into regions, where the assumptions of each expert, or conditional model, need only hold locally. Combined with Gaussian process (GP) experts, this results in a powerful and…

Machine Learning · Statistics 2019-05-31 Charles W. L. Gadd , Sara Wade , Alexis Boukouvalas

In the principles-and-parameters framework, the structural features of languages depend on parameters that may be toggled on or off, with a single parameter often dictating the status of multiple features. The implied covariance between…

Computation and Language · Computer Science 2019-05-16 Johannes Bjerva , Yova Kementchedjhieva , Ryan Cotterell , Isabelle Augenstein

We study models of weighted exponential random graphs in the large network limit. These models have recently been proposed to model weighted network data arising from a host of applications including socio-econometric data such as migration…

Probability · Mathematics 2018-07-12 Shankar Bhamidi , Suman Chakraborty , Skyler Cranmer , Bruce Desmarais

The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on these invariants. Here we introduce a new data-driven…

Soft Condensed Matter · Physics 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

In recent years, machine learning has established itself as a powerful tool for high-resolution weather forecasting. While most current machine learning models focus on deterministic forecasts, accurately capturing the uncertainty in the…

Machine Learning · Computer Science 2024-10-29 Joel Oskarsson , Tomas Landelius , Marc Peter Deisenroth , Fredrik Lindsten

The majority of machine learning methods can be regarded as the minimization of an unavailable risk function. To optimize the latter, given samples provided in a streaming fashion, we define a general stochastic Newton algorithm and its…

Statistics Theory · Mathematics 2023-06-30 Claire Boyer , Antoine Godichon-Baggioni

In the analysis of survey data, sampling weights are needed for consistent estimation of the population. However, the original inverse probability weights from the survey sample design are typically modified to account for non-response, to…

Computation · Statistics 2025-08-19 Matthew R. Williams , Terrance D. Savitsky

Markov networks are frequently used in sciences to represent conditional independence relationships underlying observed variables arising from a complex system. It is often of interest to understand how an underlying network differs between…

Methodology · Statistics 2021-04-26 Byol Kim , Song Liu , Mladen Kolar

Balancing predictive power and interpretability has long been a challenging research area, particularly in powerful yet complex models like neural networks, where nonlinearity obstructs direct interpretation. This paper introduces a novel…

Machine Learning · Computer Science 2025-02-20 Antoine Ledent , Peng Liu

The configuration model is one of the most successful models for generating uncorrelated random networks. We analyze its behavior when the expected degree sequence follows a power law with exponent smaller than two. In this situation, the…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. A. Serrano , M. Boguna

Food webs are complex ecological networks whose structure is both ecologically and statistically constrained, with many network properties being correlated with each other. Despite the recognition of these invariable relationships in food…

Quantitative Methods · Quantitative Biology 2023-01-18 Francis Banville , Dominique Gravel , Timothée Poisot