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Machine learning (ML) systems are increasingly deployed in high-stakes domains where reliability is paramount. This thesis investigates how uncertainty estimation can enhance the safety and trustworthiness of ML, focusing on selective…

Machine Learning · Computer Science 2025-09-09 Stephan Rabanser

We give an approximate solution to the difficult inverse problem of inferring the topology of an unknown network from given time-dependent signals at the nodes. For example, we measure signals from individual neurons in the brain, and infer…

Biological Physics · Physics 2021-01-27 Corey Weistuch , Luca Agozzino , Lilianne R. Mujica-Parodi , Ken A. Dill

Tasks that require information about the world imply a trade-off between the time spent on observation and the variance of the response. In particular, fast decisions need to rely on uncertain information. However, standard estimates of…

Neurons and Cognition · Quantitative Biology 2023-07-18 Sahel Azizpour , Viola Priesemann , Johannes Zierenberg , Anna Levina

This paper is an attempt to set a justification for making use of some dicrepancy indexes, starting from the classical Maximum Likelihood definition, and adapting the corresponding basic principle of inference to situations where…

Statistics Theory · Mathematics 2021-02-24 Michel Broniatowski

A statistical, path-dependent framework to describe time-dependent macroscopic theories using the Principle of Maximum Caliber is presented. By means of this procedure, it is possible to infer predictive non-equilibrium statistical…

Statistical Mechanics · Physics 2023-03-20 Ignacio Tapia , Gonzalo Gutiérrez , Sergio Davis

How many parameters are required for a model to execute a given task? It has been argued that large language models, pre-trained via self-supervised learning, exhibit emergent capabilities such as multi-step reasoning as their number of…

Machine Learning · Computer Science 2024-09-23 Ingvar Ziemann , Nikolai Matni , George J. Pappas

An unsupervised learning procedure based on maximizing the mutual information between the outputs of two networks receiving different but statistically dependent inputs is analyzed (Becker and Hinton, Nature, 355, 92, 161). For a generic…

Disordered Systems and Neural Networks · Physics 2009-11-10 Robert Urbanczik

While in-context learning with large language models (LLMs) has shown impressive performance, we have discovered a unique miscalibration behavior where both correct and incorrect predictions are assigned the same level of confidence. We…

Computation and Language · Computer Science 2024-10-04 Wei Cheng , Tianlu Wang , Yanmin Ji , Fan Yang , Keren Tan , Yiyu Zheng

Experimental design is crucial for inference where limitations in the data collection procedure are present due to cost or other restrictions. Optimal experimental designs determine parameters that in some appropriate sense make the data…

Machine Learning · Statistics 2016-03-11 Panagiotis Tsilifis , Roger G. Ghanem , Paris Hajali

Learning with an artificial neural network encodes the system behavior in a feed-forward function with a number of parameters optimized by data-driven training. An open question is whether one can minimize the network complexity without…

Statistical Mechanics · Physics 2018-09-03 Dongkyu Kim , Dong-Hee Kim

Flexible, goal-directed behavior is a fundamental aspect of human life. Based on the free energy minimization principle, the theory of active inference formalizes the generation of such behavior from a computational neuroscience…

Artificial Intelligence · Computer Science 2022-08-03 Fedor Scholz , Christian Gumbsch , Sebastian Otte , Martin V. Butz

We consider how mathematical models enable predictions for conditions that are qualitatively different from the training data. We propose techniques based on information topology to find models that can apply their learning in regimes for…

Quantitative Methods · Quantitative Biology 2022-05-27 Cody Petrie , Christian Anderson , Casie Maekawa , Travis Maekawa , Mark K. Transtrum

Collective motion is found in various animal systems, active suspensions and robotic or virtual agents. This is often understood using high level models that directly encode selected empirical features, such as co-alignment and cohesion.…

Biological Physics · Physics 2019-07-19 Henry J. Charlesworth , Matthew S. Turner

We introduce a new method to identify phase boundaries in physical systems. It is based on training a predictive model such as a neural network to infer a physical system's parameters from its state. The deviation of the inferred parameters…

Statistical Mechanics · Physics 2019-06-12 Frank Schäfer , Niels Lörch

A fundamental open challenge in modern LLM scaling is the lack of understanding around emergent capabilities. In particular, language model pretraining loss is known to be highly predictable as a function of compute. However, downstream…

Machine Learning · Computer Science 2024-11-26 Charlie Snell , Eric Wallace , Dan Klein , Sergey Levine

Computation in the brain involves multiple types of neurons, yet the organizing principles for how these neurons work together remain unclear. Information theory has offered explanations for how different types of neurons can optimize the…

Neurons and Cognition · Quantitative Biology 2015-06-22 David B. Kastner , Stephen A. Baccus , Tatyana O. Sharpee

As robots aspire for long-term autonomous operations in complex dynamic environments, the ability to reliably take mission-critical decisions in ambiguous situations becomes critical. This motivates the need to build systems that have…

Robotics · Computer Science 2016-08-01 Shreyansh Daftry , Sam Zeng , J. Andrew Bagnell , Martial Hebert

To compensate for sensory processing delays, the visual system must make predictions to ensure timely and appropriate behaviors. Recent work has found predictive information about the stimulus in neural populations early in vision…

Neurons and Cognition · Quantitative Biology 2018-10-05 Audrey J. Sederberg , Jason N. MacLean , Stephanie E. Palmer

What is intuitive: pro-social or anti-social behaviour? To answer this fundamental question, recent studies analyse decision times in game theory experiments under the assumption that intuitive decisions are fast and that deliberation is…

Physics and Society · Physics 2020-04-14 Riccardo Gallotti , Jelena Grujic

Robotic tasks which involve uncertainty--due to variation in goal, environment configuration, or confidence in task model--may require human input to instruct or adapt the robot. In tasks with physical contact, several existing methods for…

Robotics · Computer Science 2026-02-17 Kevin Haninger , Christian Hegeler , Luka Peternel
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