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Using established principles from Statistics and Information Theory, we show that invariance to nuisance factors in a deep neural network is equivalent to information minimality of the learned representation, and that stacking layers and…

Machine Learning · Computer Science 2018-06-29 Alessandro Achille , Stefano Soatto

A diffusion model trained on Hamiltonian trajectories can achieve rollout MSE near $10^{-3}$, but the standard deviation of its energy over time is between 7500 and 36000 times larger than the ground-truth energy standard deviation,…

Machine Learning · Computer Science 2026-05-20 Andrew Bukowski , Aditya Kothari , Simba Shi , Ishir Rao

Reservoir computing is a machine learning framework that exploits nonlinear dynamics, exhibiting significant computational capabilities. One of the defining characteristics of reservoir computing is its low cost and straightforward training…

Machine Learning · Computer Science 2025-01-14 Akane Ookubo , Masanobu Inubushi

Continual learning constrains models to learn new tasks over time without forgetting what they have already learned. A key challenge in this setting is catastrophic forgetting, where learning new information causes the model to lose its…

Machine Learning · Computer Science 2025-12-10 Federico Di Valerio , Michela Proietti , Alessio Ragno , Roberto Capobianco

Statistical learning under distributional drift remains poorly characterized, especially in closed-loop settings where learning alters the data-generating law. We introduce an intrinsic drift budget $C_T$ that quantifies cumulative…

Machine Learning · Computer Science 2026-05-19 Sofiya Zaichyk

This paper presents evidence for the idea that much of artificial intelligence, human perception and cognition, mainstream computing, and mathematics, may be understood as compression of information via the matching and unification of…

Artificial Intelligence · Computer Science 2015-07-14 J. Gerard Wolff

We discovered the underlying physics in Next-token Prediction (NTP). We identified the law of information conservation within NTP and proposed the First Law of Information Capacity (IC-1), demonstrating that the essence of intelligence…

Machine Learning · Computer Science 2024-11-19 Hongjun An , Yiliang Song , Xuelong Li

Robust imitation learning using disturbance injections overcomes issues of limited variation in demonstrations. However, these methods assume demonstrations are optimal, and that policy stabilization can be learned via simple augmentations.…

Robotics · Computer Science 2022-05-10 Hirotaka Tahara , Hikaru Sasaki , Hanbit Oh , Brendan Michael , Takamitsu Matsubara

The study of the fundamental limits of information systems is a central theme in information theory. Both the traditional analytical approach and the recently proposed computational approach have significant limitations, where the former is…

Information Theory · Computer Science 2022-05-04 Wenjing Chen , Chao Tian

Quantum information processing and computation requires high accuracy qubit configuration readout. In many practical schemes, the initial qubit configuration has to be inferred from readout that is a time-dependent weak measurement record.…

Quantum Physics · Physics 2025-12-17 Cesar Lema , Aleix Bou-Comas , Atithi Acharya , Vadim Oganesyan , Anirvan Sengupta

The Deep Time-Delay Reservoir Computing concept utilizes unidirectionally connected systems with time-delays for supervised learning. We present how the dynamical properties of a deep Ikeda-based reservoir are related to its memory capacity…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 Mirko Goldmann , Felix Köster , Kathy Lüdge , Serhiy Yanchuk

Scientific discovery is a cumulative process and requires new ideas to be situated within an ever-expanding landscape of existing knowledge. An emerging and critical challenge is how to identify conceptually relevant prior work from rapidly…

Information Retrieval · Computer Science 2026-01-15 Yuexi Shen , Minqian Liu , Dawei Zhou , Lifu Huang

Dissipation induced by interactions with an external environment typically hinders the performance of quantum computation, but in some cases can be turned out as a useful resource. We show the potential enhancement induced by dissipation in…

The rapid development of machine learning and quantum computing has placed quantum machine learning at the forefront of research. However, existing quantum machine learning algorithms based on quantum variational algorithms face challenges…

Quantum Physics · Physics 2025-08-22 Da Zhang , Xin Li , Yibin Guo , Haifeng Yu , Yirong Jin , Zhang-Qi Yin

Information processing abilities of active matter are studied in the reservoir computing (RC) paradigm to infer the future state of a chaotic signal. We uncover an exceptional regime of agent dynamics that has been overlooked previously. It…

Adaptation and Self-Organizing Systems · Physics 2026-01-26 Mario U. Gaimann , Miriam Klopotek

We consider a class of well-known dynamic resource allocation models in loss network systems with advanced reservation. The most important performance measure in any loss network system is to compute its blocking probability, i.e., the…

Probability · Mathematics 2015-05-15 Retsef Levi , Cong Shi

As Moore's law comes to an end, neuromorphic approaches to computing are on the rise. One of these, passive photonic reservoir computing, is a strong candidate for computing at high bitrates (> 10 Gbps) and with low energy consumption.…

Neural and Evolutionary Computing · Computer Science 2018-10-09 Matthias Freiberger , Andrew Katumba , Peter Bienstman , Joni Dambre

Deep learning has emerged as a promising solution for efficient channel state information (CSI) feedback in frequency division duplex (FDD) massive MIMO systems. Conventional deep learning-based methods typically rely on a deep autoencoder…

Signal Processing · Electrical Eng. & Systems 2025-07-29 Haotian Tian , Lixiang Lian , Jiaqi Cao , Sijie Ji

Closed-source frontier labs do not disclose parameter counts, and the standard alternative -- inference economics -- carries $2\times$+ uncertainty from hardware, batching, and serving-stack assumptions external to the model. We exploit a…

Machine Learning · Computer Science 2026-04-29 Bojie Li

In this article, a novel neuro-inspired low-resolution online unsupervised learning rule is proposed to train the reservoir or liquid of Liquid State Machine. The liquid is a sparsely interconnected huge recurrent network of spiking…

Neural and Evolutionary Computing · Computer Science 2016-04-20 Subhrajit Roy , Arindam Basu
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