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In this work, we establish near-linear and strong convergence for a natural first-order iterative algorithm that simulates Von Neumann's Alternating Projections method in zero-sum games. First, we provide a precise analysis of Optimistic…

Optimization and Control · Mathematics 2021-08-18 Ioannis Anagnostides , Paolo Penna

The $\sigma$-irregularity index of a graph is defined as the sum of squared degree differences over all edges and provides a sensitive measure of structural heterogeneity. In this paper, we study the problem of maximizing $\sigma(T)$ among…

Combinatorics · Mathematics 2026-02-17 Milan Bašić

To model discriminative, i.e. competition induced, self-thinning in even-aged forest stands a concept has been explored that discriminative mortality alters spatial arrangement of trees which in turn alters the mortality. Function of…

Populations and Evolution · Quantitative Biology 2016-09-30 Vladimir L. Gavrikov , Rem G. Khlebopros

We propose a renormalisation group inspired normalising flow that combines benefits from traditional Markov chain Monte Carlo methods and standard normalising flows to sample lattice field theories. Specifically, we use samples from a…

High Energy Physics - Lattice · Physics 2024-12-18 Marc Bauer , Renzo Kapust , Jan M. Pawlowski , Finn L. Temmen

We address unsupervised discontinuous constituency parsing, where we observe a high variance in the performance of the only previous model in the literature. We propose to build an ensemble of different runs of the existing discontinuous…

Computation and Language · Computer Science 2024-11-07 Behzad Shayegh , Yuqiao Wen , Lili Mou

In this paper, we extend the full replica symmetry breaking scheme to the Ising spin glass on a random regular graph. We propose a new martingale approach, that overcomes the limits of the Parisi-M\'ezard cavity method, providing a…

Statistical Mechanics · Physics 2018-09-25 Francesco Concetti

In a previous work ("Abstract Data Type Systems", TCS 173(2), 1997), the last two authors presented a combined language made of a (strongly normalizing) algebraic rewrite system and a typed lambda-calculus enriched by pattern-matching…

Logic in Computer Science · Computer Science 2013-09-17 Frédéric Blanqui , Jean-Pierre Jouannaud , Mitsuhiro Okada

Algorithms for model checking and satisfiability of the modal $\mu$-calculus start by converting formulas to alternating parity tree automata. Thus, model checking is reduced to checking acceptance by tree automata and satisfiability to…

Logic in Computer Science · Computer Science 2022-08-24 Daniel Hausmann , Nir Piterman

We consider uniform random permutations drawn from a family enumerated through generating trees. We develop a new general technique to establish a central limit theorem for the number of consecutive occurrences of a fixed pattern in such…

Probability · Mathematics 2021-12-22 Jacopo Borga

This paper provides a set of sensitivity analysis and activity identification results for a class of convex functions with a strong geometric structure, that we coined "mirror-stratifiable". These functions are such that there is a…

Optimization and Control · Mathematics 2018-06-06 Jalal Fadili , Jérôme Malick , Gabriel Peyré

We describe a technique to reorganize topologies of Steiner trees by exchanging neighbors of adjacent Steiner points. We explain how to use the systematic way of building trees, and therefore topologies, to find the correct topology after…

Data Structures and Algorithms · Computer Science 2018-03-13 Aymeric Grodet , Takuya Tsuchiya

We review the calculation of the the effective potential with particular emphasis on cases when the tree potential or the renormalisation-group-improved, radiatively corrected potential exhibits non-convex behaviour. We illustrate this in a…

High Energy Physics - Phenomenology · Physics 2010-10-27 Martin B. Einhorn , D. R. Timothy Jones

An automaton is called reachable if every state is reachable from the initial state. This notion has been generalized coalgebraically in two ways: first, via a universal property on pointed coalgebras, namely, that a reachable coalgebra has…

Logic in Computer Science · Computer Science 2026-01-23 Thorsten Wißmann , Bálint Kocsis , Jurriaan Rot , Ruben Turkenburg

Consideration of the primal and dual problems together leads to important new insights into the characteristics of boosting algorithms. In this work, we propose a general framework that can be used to design new boosting algorithms. A wide…

Artificial Intelligence · Computer Science 2011-12-13 Chunhua Shen , Hanxi Li , Nick Barnes

In this paper, we presented an efficient algorithm to implement the regularization reconstruction of SPECT. Image reconstruction with priori assumptions is usually modeled as a constrained optimization problem. However, there is no…

Optimization and Control · Mathematics 2013-06-07 Shousheng Luo , Tie Zhou

We initiate the study of affine actions of groups on $\Lambda$-trees for a general ordered abelian group $\Lambda$; these are actions by dilations rather than isometries. This gives a common generalisation of isometric action on a…

Group Theory · Mathematics 2013-02-13 Shane O Rourke

We present a general framework for balancing expressions (terms) in form of so called tree straight-line programs. The latter can be seen as circuits over the free term algebra extended by contexts (terms with a hole) and the operations…

Computational Complexity · Computer Science 2017-10-18 Moses Ganardi , Markus Lohrey

In Part I of this series, we introduced a class of notions of forcing which we call Sigma-Prikry, and showed that many of the known Prikry-type notions of forcing that center around singular cardinals of countable cofinality are…

Logic · Mathematics 2022-01-19 Alejandro Poveda , Assaf Rinot , Dima Sinapova

Normalizing flows model probability distributions by learning invertible transformations that transfer a simple distribution into complex distributions. Since the architecture of ResNet-based normalizing flows is more flexible than that of…

Machine Learning · Computer Science 2022-10-18 Byeongkeun Ahn , Chiyoon Kim , Youngjoon Hong , Hyunwoo J. Kim

Regularization is essential for avoiding over-fitting to training data in network optimization, leading to better generalization of the trained networks. The label noise provides a strong implicit regularization by replacing the target…

Machine Learning · Computer Science 2022-05-04 Kensuke Nakamura , Bong-Soo Sohn , Kyoung-Jae Won , Byung-Woo Hong
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