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Different rate theories yielded similar forms of rates constants consistent with the phenomenological Arrhenius law, although they were derived from various branches of physics including classical thermodynamics, statistical and quantum…

Chemical Physics · Physics 2020-12-02 Denis Michel

Predicting future observations plays a central role in machine learning, biology, economics, and many other fields. It lies at the heart of organizational principles such as the variational free energy principle and has even been shown --…

Machine Learning · Computer Science 2025-04-09 Lukas J. Fiderer , Paul C. Barth , Isaac D. Smith , Hans J. Briegel

As the share of renewable energy sources in the present electric energy mix rises, their intermittence proves to be the biggest challenge to carbon free electricity generation. To address this challenge, we propose an electricity pricing…

Signal Processing · Electrical Eng. & Systems 2020-03-11 Filip Tolovski

We consider a ubiquitous scenario in the Internet economy when individual decision-makers (henceforth, agents) both produce and consume information as they make strategic choices in an uncertain environment. This creates a three-way…

Computer Science and Game Theory · Computer Science 2021-04-09 Yishay Mansour , Aleksandrs Slivkins , Vasilis Syrgkanis , Zhiwei Steven Wu

In standard textbooks of college physics, the Work Energy Theorem is usually presented for inertial frames of references and it is clear that energy is conserved when there is not net work of interaction forces. But what happens when energy…

Classical Physics · Physics 2011-01-04 D. M. Fernández , M. F. Carusela , C. D. El Hasi

The recent advances in artificial intelligence namely in machine learning and deep learning, have boosted the performance of intelligent systems in several ways. This gave rise to human expectations, but also created the need for a deeper…

We consider a setting where in a known future time, a certain continuous random variable will be realized. There is a public prediction that gradually converges to its realized value, and an expert that has access to a more accurate…

Computer Science and Game Theory · Computer Science 2016-05-25 Amir Ban , Yossi Azar , Yishay Mansour

The development of energy systems is not a technocratic process but equally shaped by societal and cultural forces. Key instruments in this process are model-based scenarios describing a future energy system. Applying the concept of…

Theoretical Economics · Economics 2023-06-16 Leonard Göke , Jens Weibezahn , Christian von Hirschhausen

Mechanics can be founded in a principle stating the uncertainty in the position of an observable particle delta-q as a function of its motion relative to the observer, expressed in a trajectory representation . From this principle,…

General Physics · Physics 2007-05-23 Adrian Faigon

Transparency and explainability are important features that responsible autonomous vehicles should possess, particularly when interacting with humans, and causal reasoning offers a strong basis to provide these qualities. However, even if…

Artificial Intelligence · Computer Science 2025-11-18 Rhys Howard , Nick Hawes , Lars Kunze

In this paper I apply newly-proposed information-theoretic principles to thermodynamic work extraction. I show that if it is possible to extract work deterministically from a physical system prepared in any one of a set of states, then…

Quantum Physics · Physics 2021-06-23 Chiara Marletto

Many economic theories have been introduced over the course of history to articulate our understanding of the economy. Classical theories by Adam Smith and David Ricardo's Comparative Advantage have been foundational for the last century's…

Theoretical Economics · Economics 2025-11-19 Sidharth Gat

Explainability plays an increasingly important role in machine learning. Furthermore, humans view the world through a causal lens and thus prefer causal explanations over associational ones. Therefore, in this paper, we develop a causal…

Artificial Intelligence · Computer Science 2023-07-04 Xiaoxiao Wang , Fanyu Meng , Xin Liu , Zhaodan Kong , Xin Chen

Given the rapid pace of energy system development, the time has come to reimagine the U.S. Government's capability to model the long-term evolution of the domestic and global energy system. As a primary custodian of these capabilities, the…

We consider settings where an uninformed principal must hear arguments from two better-informed agents, corresponding to two possible courses of action that they argue for. The arguments are verifiable in the sense that the true state of…

Computer Science and Game Theory · Computer Science 2025-12-01 Alexander Heckett , Vincent Conitzer

In this paper we will articulate a view of resilience under the free energy principle and vice versa. The free energy principle is about existence and identity, and resilience is the condition under which things exist at all. In previous…

Adaptation and Self-Organizing Systems · Physics 2025-06-10 Mahault Albarracin , Dalton A R Sakthivadivel

A rich class of mechanism design problems can be understood as incomplete-information games between a principal who commits to a policy and an agent who responds, with payoffs determined by an unknown state of the world. Traditionally,…

Theoretical Economics · Economics 2020-09-14 Modibo Camara , Jason Hartline , Aleck Johnsen

The concept of energy lies at the foundation of physical science. In general relativity and quantum field theory, the positivity and conservation of energy are encapsulated by the so-called energy-momentum tensor and the energy conditions.…

High Energy Physics - Theory · Physics 2025-12-02 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda , Haruki Nakayama , Tatsuma Nishioka

In a previous paper we have shown that Newton's third law cannot strictly hold in a distributed system of which the different parts are at a finite distance from each other. This is due to the finite speed of signal propagation which cannot…

General Physics · Physics 2021-03-08 Shailendra Rajput , Asher Yahalom , Hong Qin

The performance of an energy system under a real-time pricing mechanism depends on the consumption behavior of its customers, which involves uncertainties. In this paper, we consider a system operator that charges its customers with a…

Systems and Control · Computer Science 2016-11-17 Ceyhun Eksin , Hakan Delic , Alejandro Ribeiro