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While extracting information from data with machine learning plays an increasingly important role, physical laws and other first principles continue to provide critical insights about systems and processes of interest in science and…

机器学习 · 统计学 2023-02-21 Pawan Goyal , Benjamin Peherstorfer , Peter Benner

The interpretability of prediction mechanisms with respect to the underlying prediction problem is often unclear. While several studies have focused on developing prediction models with meaningful parameters, the causal relationships…

机器学习 · 统计学 2017-09-05 Patrick Blöbaum , Shohei Shimizu

An information-theoretic framework is introduced to analyze last-layer embedding, focusing on learned representations for regression tasks. We define representation-rate and derive limits on the reliability with which input-output…

信息论 · 计算机科学 2026-05-27 Deborah Pereg , Michael Wand

Dropout Regularization, serving to reduce variance, is nearly ubiquitous in Deep Learning models. We explore the relationship between the dropout rate and model complexity by training 2,000 neural networks configured with random…

机器学习 · 计算机科学 2021-08-30 Christopher Sun , Jai Sharma , Milind Maiti

We investigate the problem of designing optimal classifiers in the strategic classification setting, where the classification is part of a game in which players can modify their features to attain a favorable classification outcome (while…

机器学习 · 计算机科学 2020-05-19 Mark Braverman , Sumegha Garg

Temporal data such as time series can be viewed as discretized measurements of the underlying function. To build a generative model for such data we have to model the stochastic process that governs it. We propose a solution by defining the…

机器学习 · 计算机科学 2023-05-22 Marin Biloš , Kashif Rasul , Anderson Schneider , Yuriy Nevmyvaka , Stephan Günnemann

We consider a setting with agents that have preferences over alternatives and are partitioned into disjoint districts. The goal is to choose one alternative as the winner using a mechanism which first decides a representative alternative…

计算机科学与博弈论 · 计算机科学 2023-01-10 Aris Filos-Ratsikas , Alexandros A. Voudouris

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

机器学习 · 统计学 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

Regression by composition provides a flexible framework for constructing conditional distributions through sequential group actions. However, when multiple flows act on the same distribution, the model becomes non-identifiable, leading to…

统计方法学 · 统计学 2026-03-30 Safaa K. Kadhem

We provide high-probability sample complexity guarantees for exact structure recovery and accurate predictive learning using noise-corrupted samples from an acyclic (tree-shaped) graphical model. The hidden variables follow a…

机器学习 · 统计学 2021-02-18 Konstantinos E. Nikolakakis , Dionysios S. Kalogerias , Anand D. Sarwate

A recent method for causal discovery is in many cases able to infer whether X causes Y or Y causes X for just two observed variables X and Y. It is based on the observation that there exist (non-Gaussian) joint distributions P(X,Y) for…

信息论 · 计算机科学 2009-10-12 Dominik Janzing , Bastian Steudel

In this work, we propose the use of a causal collider structured model to describe the underlying data generative process assumptions in disentangled representation learning. This extends the conventional i.i.d. factorization assumption…

机器学习 · 计算机科学 2024-01-29 Juan Castorena

The nervous system solves a wide variety of problems in signal processing. In many cases the performance of the nervous system is so good that it apporaches fundamental physical limits, such as the limits imposed by diffraction and photon…

凝聚态物理 · 物理学 2009-10-22 Marc Potters , William Bialek

Motivated by the goals of dataset pruning and defect identification, a growing body of methods have been developed to score individual examples within a dataset. These methods, which we call "example difficulty scores", are typically used…

机器学习 · 计算机科学 2024-01-04 Devin Kwok , Nikhil Anand , Jonathan Frankle , Gintare Karolina Dziugaite , David Rolnick

The ability to flexibly compose previously acquired skills to execute intelligent behaviors is a hallmark of natural intelligence. Such compositional flexibility is often attributed to context-dependent gating mechanisms that determine how…

最优化与控制 · 数学 2026-05-18 Francesca Rossi , Veronica Centorrino , Francesco Bullo , Giovanni Russo

We propose a simplification of the Theory-of-Mind Network architecture, which focuses on modeling complex, deterministic machines as a proxy for modeling nondeterministic, conscious entities. We then validate this architecture in the…

人工智能 · 计算机科学 2018-06-27 Rooz Mahdavian , Richard Diehl Martinez

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

动力系统 · 数学 2023-05-17 Nan Chen , Yinling Zhang

We are often interested in decomposing complex, structured data into simple components that explain the data. The linear version of this problem is well-studied as dictionary learning and factor analysis. In this work, we propose a…

机器学习 · 计算机科学 2024-07-29 Avrim Blum , Kavya Ravichandran

Conditional diffusion models serve as the foundation of modern image synthesis and find extensive application in fields like computational biology and reinforcement learning. In these applications, conditional diffusion models incorporate…

机器学习 · 计算机科学 2024-03-19 Hengyu Fu , Zhuoran Yang , Mengdi Wang , Minshuo Chen

We study social choice mechanisms in an implicit utilitarian framework with a metric constraint, where the goal is to minimize \textit{Distortion}, the worst case social cost of an ordinal mechanism relative to underlying cardinal…

计算机科学与博弈论 · 计算机科学 2020-07-03 Brandon Fain , Ashish Goel , Kamesh Munagala , Nina Prabhu