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In semidefinite programming (SDP), unlike in linear programming, Farkas' lemma may fail to prove infeasibility. Here we obtain an exact, short certificate of infeasibility in SDP by an elementary approach: we reformulate any semidefinite…

Optimization and Control · Mathematics 2015-04-06 Minghui Liu , Gabor Pataki

We consider the problem of multiple hypothesis testing with generic side information: for each hypothesis $H_i$ we observe both a p-value $p_i$ and some predictor $x_i$ encoding contextual information about the hypothesis. For large-scale…

Methodology · Statistics 2018-07-26 Lihua Lei , William Fithian

Enforcing state and input constraints during reinforcement learning (RL) in continuous state spaces is an open but crucial problem which remains a roadblock to using RL in safety-critical applications. This paper leverages invariant sets to…

Systems and Control · Electrical Eng. & Systems 2019-06-28 Ankush Chakrabarty , Rien Quirynen , Claus Danielson , Weinan Gao

Previous research on relation classification has verified the effectiveness of using dependency shortest paths or subtrees. In this paper, we further explore how to make full use of the combination of these dependency information. We first…

Computation and Language · Computer Science 2015-07-17 Yang Liu , Furu Wei , Sujian Li , Heng Ji , Ming Zhou , Houfeng Wang

The explication and the generation of explanations are prominent topics in artificial intelligence and data science, in order to make methods and systems more transparent and understandable for humans. This paper investigates the problem of…

Artificial Intelligence · Computer Science 2019-09-10 Martin Atzmueller , Cicek Güven , Dietmar Seipel

In probably approximately correct (PAC) reinforcement learning (RL), an agent is required to identify an $\epsilon$-optimal policy with probability $1-\delta$. While minimax optimal algorithms exist for this problem, its instance-dependent…

Machine Learning · Computer Science 2022-10-25 Andrea Tirinzoni , Aymen Al-Marjani , Emilie Kaufmann

We describe an approximate dynamic programming (ADP) approach to compute approximations of the optimal strategies and of the minimal losses that can be guaranteed in discounted repeated games with vector-valued losses. Such games…

Computer Science and Game Theory · Computer Science 2020-10-27 Vijay Kamble , Patrick Loiseau , Jean Walrand

Understanding inferences and answering questions from text requires more than merely recovering surface arguments, adjuncts, or strings associated with the query terms. As humans, we interpret sentences as contextualized components of a…

Computation and Language · Computer Science 2022-10-24 Jingxuan Tu , Kyeongmin Rim , Eben Holderness , James Pustejovsky

Answer Set Programming (ASP) is a powerful declarative programming paradigm commonly used for solving challenging search and optimization problems. The modeling languages of ASP are supported by sophisticated solving algorithms (solvers)…

Logic in Computer Science · Computer Science 2022-08-08 Zach Hansen

The framework of Integral Quadratic Constraints of Lessard et al. (2014) reduces the computation of upper bounds on the convergence rate of several optimization algorithms to semi-definite programming (SDP). Followup work by Nishihara et…

Machine Learning · Statistics 2018-03-06 Guilherme França , José Bento

In practical applications of machine learning, it is necessary to look beyond standard metrics such as test accuracy in order to validate various qualitative properties of a model. Partial dependence plots (PDP), including instance-specific…

Machine Learning · Computer Science 2020-07-31 David I. Inouye , Liu Leqi , Joon Sik Kim , Bryon Aragam , Pradeep Ravikumar

In this paper we present a combination framework for polynomial complexity analysis of term rewrite systems. The framework covers both derivational and runtime complexity analysis. We present generalisations of powerful complexity…

Computational Complexity · Computer Science 2013-02-06 Martin Avanzini , Georg Moser

As Abstract Meaning Representation (AMR) implicitly involves compound semantic annotations, we hypothesize auxiliary tasks which are semantically or formally related can better enhance AMR parsing. We find that 1) Semantic role labeling…

Computation and Language · Computer Science 2022-04-21 Liang Chen , Peiyi Wang , Runxin Xu , Tianyu Liu , Zhifang Sui , Baobao Chang

We develop an inductive proof-technique to generate imperative programs for pointer data structures from behavioural specifications expressed in the Answer Set Programming (ASP) formalism. ASP is a non-monotonic logic based formalism that…

Logic in Computer Science · Computer Science 2020-08-14 Sarat Chandra Varanasi , Neeraj Mittal , Gopal Gupta

Harnessing the power of dependently typed languages can be difficult. Programmers must manually construct proofs to produce well-typed programs, which is not an easy task. In particular, migrating code to these languages is challenging.…

Programming Languages · Computer Science 2021-07-13 Joseph Eremondi , Ronald Garcia , Éric Tanter

Arts and Giesl proved that the termination of a first-order rewrite system can be reduced to the study of its "dependency pairs". We extend these results to rewrite systems on simply typed lambda-terms by using Tait's computability…

Logic in Computer Science · Computer Science 2018-04-25 Frédéric Blanqui

The development of largely human-annotated benchmarks has driven the success of deep neural networks in various NLP tasks. To enhance the effectiveness of existing benchmarks, collecting new additional input-output pairs is often too costly…

Computation and Language · Computer Science 2023-06-09 Jaehyung Kim , Jinwoo Shin , Dongyeop Kang

The framework Pure Type System (PTS) offers a simple and general approach to designing and formalizing type systems. However, in the presence of dependent types, there often exist certain acute problems that make it difficult for PTS to…

Programming Languages · Computer Science 2017-03-28 Hongwei Xi

Efficient pattern matching is fundamental for practical term rewrite engines. By preprocessing the given patterns into a finite deterministic automaton the matching patterns can be decided in a single traversal of the relevant parts of the…

Logic in Computer Science · Computer Science 2023-06-22 Rick Erkens , Maurice Laveaux

We study the almost-sure termination problem for probabilistic programs. First, we show that supermartingales with lower bounds on conditional absolute difference provide a sound approach for the almost-sure termination problem. Moreover,…

Logic in Computer Science · Computer Science 2018-08-24 Mingzhang Huang , Hongfei Fu , Krishnendu Chatterjee