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This paper establishes that generic linear quantum stochastic systems have a pure cascade realization of their transfer function, generalizing an earlier result established only for the special class of completely passive linear quantum…

Quantum Physics · Physics 2016-03-24 H. I. Nurdin , S. Grivopoulos , I. R. Petersen

Communication of quantized information is frequently followed by a computation. We consider situations of \emph{distributed functional scalar quantization}: distributed scalar quantization of (possibly correlated) sources followed by…

Information Theory · Computer Science 2015-01-20 Vinith Misra , Vivek K Goyal , Lav R. Varshney

Regular functions from infinite words to infinite words can be equivalently specified by MSO-transducers, streaming $\omega$-string transducers as well as deterministic two-way transducers with look-ahead. In their one-way restriction, the…

Formal Languages and Automata Theory · Computer Science 2024-09-19 V. Dave , E. Filiot , S. Krishna , N. Lhote

Transfer entropy provides a general tool for analyzing the magnitudes and directions---but not the \emph{kinds}---of information transfer in a system. We extend transfer entropy in two complementary ways. First, we distinguish…

Data Analysis, Statistics and Probability · Physics 2011-02-09 Paul L. Williams , Randall D. Beer

Data scarcity, bias, and experimental noise are all frequently encountered problems in the application of deep learning to chemical and material science disciplines. Transfer learning has proven effective in compensating for the lack in…

Chemical Physics · Physics 2021-03-16 Florence H. Vermeire , William H. Green

Quantum state transfer protocols are a major toolkit in many quantum information processing tasks, from quantum key distribution to quantum computation. To assess performance of a such a protocol, one often relies on the average fidelity…

We provide new statistical guarantees for transfer learning via representation learning--when transfer is achieved by learning a feature representation shared across different tasks. This enables learning on new tasks using far less data…

Machine Learning · Computer Science 2020-10-23 Nilesh Tripuraneni , Michael I. Jordan , Chi Jin

The poles and zeros of a transfer function can be studied by various means. The main motivation of the present paper is to give a state-space description of the module theoretic definition of zeros introduced and analyzed by Wyman et al.…

Rings and Algebras · Mathematics 2013-09-13 Gyorgy Michaletzky

Program induction for answering complex questions over knowledge bases (KBs) aims to decompose a question into a multi-step program, whose execution against the KB produces the final answer. Learning to induce programs relies on a large…

Artificial Intelligence · Computer Science 2022-03-11 Shulin Cao , Jiaxin Shi , Zijun Yao , Xin Lv , Jifan Yu , Lei Hou , Juanzi Li , Zhiyuan Liu , Jinghui Xiao

Machine learning systems such as large scale recommendation systems or natural language processing systems are usually trained on billions of training points and are associated with hundreds of billions or trillions of parameters. Improving…

Machine Learning · Computer Science 2023-05-26 Michael Kounavis , Ousmane Dia , Ilqar Ramazanli

Multi-channel Multi-tone Active Noise Equalizers can achieve different user-selected noise spectrum profiles even at different space positions. They can apply a different equalization factor at each noise frequency component and each…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-05 Miguel Ferrer , María de Diego , Gema Piñero , Amin Hassani , Marc Moonen , Alberto González

Transfer effects manifest themselves both during training using a fixed data set and in inductive inference using accumulating data. We hypothesize that perturbing the data set by including more samples, instead of perturbing the model by…

Machine Learning · Computer Science 2026-01-01 András Millinghoffer , Bence Bolgár , Péter Antal

Symbolic Mathematical tasks such as integration often require multiple well-defined steps and understanding of sub-tasks to reach a solution. To understand Transformers' abilities in such tasks in a fine-grained manner, we deviate from…

Artificial Intelligence · Computer Science 2021-04-30 Vishesh Agarwal , Somak Aditya , Navin Goyal

Program synthesis is the process of automatically translating a specification into computer code. Traditional synthesis settings require a formal, precise specification. Motivated by computer education applications where a student learns to…

Artificial Intelligence · Computer Science 2018-06-05 Evan Hernandez , Ara Vartanian , Xiaojin Zhu

Transfer in reinforcement learning refers to the notion that generalization should occur not only within a task but also across tasks. We propose a transfer framework for the scenario where the reward function changes between tasks but the…

Artificial Intelligence · Computer Science 2018-04-13 André Barreto , Will Dabney , Rémi Munos , Jonathan J. Hunt , Tom Schaul , Hado van Hasselt , David Silver

Quantitative program analysis involves computing numerical quantities about individual or collections of program executions. An example of such a computation is quantitative information flow analysis, where one estimates the amount of…

Logic in Computer Science · Computer Science 2014-05-29 Daniel J. Fremont , Sanjit A. Seshia

Quantum state transfer from an information-carrying qubit to a receiving qubit is ubiquitous for quantum information technology. In a closed quantum system, this task requires precisely-timed control of coherent qubit-qubit interactions…

Quantum Physics · Physics 2020-01-01 Chen Wang , Jeffrey M. Gertler

An algorithm for constructing a control function that transfers a wide class of stationary nonlinear systems of ordinary differential equations from an initial state to a final state under certain control restrictions is proposed. The…

Optimization and Control · Mathematics 2017-03-01 Alexander N. Kvitko , Oksana S. Firyulina , Alexey S. Eremin

Transfer learning approaches have shown to significantly improve performance on downstream tasks. However, it is common for prior works to only report where transfer learning was beneficial, ignoring the significant trial-and-error required…

Machine Learning · Computer Science 2022-09-09 Alexander Pugantsov , Richard McCreadie

This paper studies transfer learning for estimating the mean of random functions based on discretely sampled data, where, in addition to observations from the target distribution, auxiliary samples from similar but distinct source…

Statistics Theory · Mathematics 2024-03-29 T. Tony Cai , Dongwoo Kim , Hongming Pu