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If the result of an expensive computation is invalidated by a small change to the input, the old result should be updated incrementally instead of reexecuting the whole computation. We incrementalize programs through their derivative. A…

Programming Languages · Computer Science 2013-12-04 Yufei Cai , Paolo G. Giarrusso , Tillmann Rendel , Klaus Ostermann

We demonstrate, for a widely used model of channels with polarization dependent loss (PDL), that channel capacity is achieved by a simple interference cancellation scheme in conjunction with a universal precoder. Crucially, the proposed…

Information Theory · Computer Science 2023-03-22 Mohannad Shehadeh , Frank R. Kschischang

We study the problem of communicating a distributed correlated memoryless source over a memoryless network, from source nodes to destination nodes, under quadratic distortion constraints. We establish the following two complementary…

Information Theory · Computer Science 2013-04-09 Himanshu Asnani , Ilan Shomorony , A. Salman Avestimehr , Tsachy Weissman

Recent works have shown that powerful pre-trained language models (PLM) can be fooled by small perturbations or intentional attacks. To solve this issue, various data augmentation techniques are proposed to improve the robustness of PLMs.…

Computation and Language · Computer Science 2021-09-14 Kun Zhou , Wayne Xin Zhao , Sirui Wang , Fuzheng Zhang , Wei Wu , Ji-Rong Wen

Compositional generalization, the ability of an agent to generalize to unseen combinations of latent factors, is easy for humans but hard for deep neural networks. A line of research in cognitive science has hypothesized a process,…

Machine Learning · Computer Science 2023-10-31 Yi Ren , Samuel Lavoie , Mikhail Galkin , Danica J. Sutherland , Aaron Courville

To process novel sentences, language models (LMs) must generalize compositionally -- combine familiar elements in new ways. What aspects of a model's structure promote compositional generalization? Focusing on transformers, we test the…

Computation and Language · Computer Science 2024-04-12 Jackson Petty , Sjoerd van Steenkiste , Ishita Dasgupta , Fei Sha , Dan Garrette , Tal Linzen

Gaussian channel simulation is an essential paradigm in understanding the evolution of bosonic quantum states. It allows us to investigate how such states are influenced by the environment and how they transmit quantum information. This…

The channel capacity of a nonlinear, dispersive fiber-optic link is revisited. To this end, the popular Gaussian noise (GN) model is extended with a parameter to account for the finite memory of realistic fiber channels. This finite-memory…

Information Theory · Computer Science 2015-01-07 Erik Agrell , Alex Alvarado , Giuseppe Durisi , Magnus Karlsson

We propose a learning-based approach for estimating the spectrum of a multisinusoidal signal from a finite number of samples. A neural-network is trained to approximate the spectra of such signals on simulated data. The proposed methodology…

Machine Learning · Computer Science 2019-06-03 Gautier Izacard , Brett Bernstein , Carlos Fernandez-Granda

The notion of weak-degradability of quantum channels is introduced by generalizing the degradability definition given by Devetak and Shor. Exploiting the unitary equivalence with beam-splitter/amplifier channels we then prove that a large…

Quantum Physics · Physics 2007-05-23 Filippo Caruso , Vittorio Giovannetti

I will investigate the capacities of noisy quantum channels through a combined analytical and numerical approach. First, I introduce novel flagged extension techniques that embed a channel into a higher-dimensional space, enabling…

Quantum Physics · Physics 2026-01-21 Vahid Nourozi

We consider the fundamental protocol of dense coding of classical information assuming that noise affects both the forward and backward communication lines between Alice and Bob. Assuming that this noise is described by the same quantum…

Quantum Physics · Physics 2020-04-13 Riccardo Laurenza , Cosmo Lupo , Seth Lloyd , Stefano Pirandola

We propose the AdaPtive Noise Augmentation (PANDA) procedure to regularize the estimation and inference of generalized linear models (GLMs). PANDA iteratively optimizes the objective function given noise augmented data until convergence to…

Machine Learning · Statistics 2022-04-20 Yinan Li , Fang Liu

In this paper, we present an extension of $\lambda\mu$-calculus called $\lambda\mu^{++}$-calculus which has the following properties: subject reduction, strong normalization, unicity of the representation of data and thus confluence only on…

Logic · Mathematics 2009-05-05 Karim Nour

We present a framework to model the perceived quality of audio signals by combining convolutional architectures, with ideas from classical signal processing, and describe an approach to enhancing perceived acoustical quality. We demonstrate…

Sound · Computer Science 2019-12-13 Prateek Verma , Jonathan Berger

Space-time modulation adds another powerful degree of freedom to the manipulation of classical wave systems. It opens the door for complex control of wave behavior beyond the reach of stationary systems, such as nonreciprocal wave transport…

Classical Physics · Physics 2019-11-06 Junfei Li , Xiaohui Zhu , Chen Shen , Xiuyuan Peng , Steven A. Cummer

Non-orthogonal multiple access (NoMA) as an efficient way of radio resource sharing can root back to the network information theory. For generations of wireless communication systems design, orthogonal multiple access (OMA) schemes in time,…

Two partial orderings among communication channels, namely, `being degradable into' and `being less noisy than,' are reconsidered in the light of recent results about statistical comparisons of quantum channels. Though our analysis covers…

Quantum Physics · Physics 2016-12-01 Francesco Buscemi

An analytically tractable model for Gaussian multiuser channels with fading is studied, and the capacity region of this model is found to be a good approximation of the capacity region of the original Gaussian network. This work extends the…

Information Theory · Computer Science 2009-05-16 Rony EL Haddad , Brian Smith , Sriram Vishwanath

We study extensions of a quantum channel whose one-way capacities are described by a single-letter formula. This provides a simple technique for generating powerful upper bounds on the capacities of a general quantum channel. We apply this…

Quantum Physics · Physics 2009-02-20 Graeme Smith , John A. Smolin
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