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Proof of replica formulas in the high noise regime for communication using LDGM codes

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Failure mechanism of fine-grained soil-structure interface for energy piles

Lyesse Laloui, Elena Ravera

The response of the soil-structure interface can significantly affect the performance of any geotechnical structure. Thermal cycles are a new factor that influence the response to all structures that have an energy function in addition to the structural on ...

2022

Exploring quantum perceptron and quantum neural network structures with a teacher-student scheme

Patrick Hümbeli

Near-term quantum devices can be used to build quantum machine learning models, such as quantum kernel methods and quantum neural networks (QNN), to perform classification tasks. There have been many proposals on how to use variational quantum circuits as ...

2022

Molten globule-like transition state of protein barnase measured with calorimetric force spectroscopy

Sebastian James Davis

Understanding how proteins fold into their native structure is a fundamental problem in biophysics, crucial for protein design. It has been hypothesized that the formation of a molten globule intermediate precedes folding to the native conformation of glob ...

National Academy of Sciences2022

Predicting hot-electron free energies from ground-state data

Michele Ceriotti, Federico Grasselli, Chiheb Ben Mahmoud

Machine-learning potentials are usually trained on the ground-state, Born-Oppenheimer energy surface, which depends exclusively on the atomic positions and not on the simulation temperature. This disregards the effect of thermally excited electrons, that i ...

AMER PHYSICAL SOC2022

Uncertainty estimation for molecular dynamics and sampling

Yongbin Zhuang, Michele Ceriotti, Kevin Rossi, Venkat Kapil, Federico Grasselli, Giulio Imbalzano, Edgar Albert Engel

Machine-learning models have emerged as a very effective strategy to sidestep time-consuming electronic-structure calculations, enabling accurate simulations of greater size, time scale, and complexity. Given the interpolative nature of these models, the r ...

2021

Polarization-Adjusted Convolutional (PAC) Codes: Sequential Decoding vs List Decoding

Andreas Peter Burg

In the Shannon lecture at the 2019 International Symposium on Information Theory (ISIT), Arikan proposed to employ a one-to-one convolutional transform as a pre-coding step before the polar transform. The resulting codes of this concatenation are called po ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021

Differential Entropy of the Conditional Expectation under Gaussian Noise

Michael Christoph Gastpar, Alper Köse, Ahmet Arda Atalik

This paper considers an additive Gaussian noise channel with arbitrarily distributed finite variance input signals. It studies the differential entropy of the minimum mean-square error (MMSE) estimator and provides a new lower bound which connects the diff ...

IEEE2021

Almost impossible E_8 and Leech lattices

Maryna Viazovska

We start this short note by introducing two remarkable mathematical objects: the E8E8 root lattice Lambda8Lambda8 in 8-dimensional Euclidean space and the Leech lattice Lambda24Lambda24 in 24-dimensional space. These two lattices stand out among their lat ...

2021

The Stability of Low-Density Parity-Check Codes and Some of its Consequences

Rüdiger Urbanke, Wei Liu

We study the stability of low-density parity-check codes under blockwise or bitwise maximum a posteriori decoding, where transmission takes place over a binary-input memoryless output-symmetric channel. Our study stems from the consideration of constructin ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021

Broken-Symmetry Ground States of the Heisenberg Model on the Pyrochlore Lattice

Giuseppe Carleo

The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-dimensional spin system with a rich phase diagram. Besides hosting several ordered phases, the model is debated to possess a spin-liquid ground state when only nearest-ne ...

American Physical Society2021

Transferable machine-learning models of complex materials: the case of GaAs

Giulio Imbalzano

Molecular simulations allow to investigate the behaviour of materials at the atomistic level, shedding light on phenomena that cannot be directly observed in experiments. Accurate results can be obtained with ab initio methods, while simulations of large-s ...

EPFL2021

Repair or Degrade: the Thermodynamic Dilemma of Cellular Protein Quality-Control

Paolo De Los Rios, Bruno Claude Daniel Fauvet, Satyam Tiwari, Mathieu Rebeaud

Life is a non-equilibrium phenomenon. Owing to their high free energy content, the macromolecules of life tend to spontaneously react with ambient oxygen and water and turn into more stable inorganic molecules. A similar thermodynamic picture applies to th ...

FRONTIERS MEDIA SA2021

Factors affecting the reactivity of slag at early and late ages

Karen Scrivener, Mohsen Ben Haha, Yosra Briki

This study investigates the difference between the reactivity of slag in NaOH solution (w/s = 100) and in cement paste (w/b = 0.4). The reactivity of slag is much higher in NaOH solution than in cement paste. When the NaOH solution is saturated with portla ...

Pergamon-Elsevier Science Ltd2021