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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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48 results for 2016

We present proofs of classical results in Poisson geometry using techniques from Dirac geometry. This article is based on mini-courses at the Poisson summer school in Geneva, June 2016, and at the workshop "Quantum Groups and Gravity" at the University of Waterloo, April 2016.

2016-12-02abs ↗pdf ↗

A framework traces ideology changes on social media during the 2016 U.S. election.

problem Understanding how ideology changed on social media during the 2016 U.S. election.
method Jointly estimating ideology of users and news sites, tracing changes over time.
result Both liberal and conservative users became more polarized over time.

Study reveals why polls were inaccurate in 2016 US election.

problem Why opinion polls were inaccurate in 2016 US election.
method Proposes clean sensing framework for optimal parameter estimation from heterogeneous data sources.
result Optimal polling strategy allocates resources based on data quality and quantity.

Weight normalization and reparametrized gradient descent adaptively regularize weights and converge to minimum l2 norm solutions.

problem Adapting to non-convex weight normalization for convergence to minimum l2 norm solutions.
method Weight normalization and reparametrized projected gradient descent (rPGD) for overparametrized least-squares regression.
result rPGD converges close to the minimum l2 norm solution, even for far-from-zero initializations.

In the present paper we prove Liouville-type theorems: non-existence theorems for conformal mappings of complete Riemannian manifolds. In addition, we give an application of these results to the theory of conharmonic transformations. A part of these results was announced in our reports on the conferences "Differential …

2016-08-04abs ↗pdf ↗

This is a write-up of the author's talk in the conference "Algebraic Geometry in East Asia 2016" held at the University of Tokyo in January 2016. We give a survey on a series of papers of the author and his collaborators Daniel Pomerleano and Kazushi Ueda where we show how Strominger-Yau-Zaslow (SYZ) transforms can be …

2016-07-25abs ↗pdf ↗

This paper explores the recently proposed Graph Convolutional Network architecture proposed in (Kipf & Welling, 2016) The key points of their work is summarized and their results are reproduced. Graph regularization and alternative graph convolution approaches are explored. I find that explicit graph regularization was…

2018-03-12abs ↗pdf ↗

In this paper, we use the house price data ranging from January 2004 to October 2016 to predict the average house price of November and December in 2016 for each district in Beijing, Shanghai, Guangzhou and Shenzhen. We apply Autoregressive Integrated Moving Average model to generate the baseline while LSTM networks to…

2017-09-25abs ↗pdf ↗

This paper presents the Intelligent Voice (IV) system submitted to the NIST 2016 Speaker Recognition Evaluation (SRE). The primary emphasis of SRE this year was on developing speaker recognition technology which is robust for novel languages that are much more heterogeneous than those used in the current state-of-the-a…

2016-11-02abs ↗pdf ↗

Chernozhukov, Chetverikov, Demirer, Duflo, Hansen, and Newey (2016) provide a generic double/de-biased machine learning (DML) approach for obtaining valid inferential statements about focal parameters, using Neyman-orthogonal scores and cross-fitting, in settings where nuisance parameters are estimated using a new gene…

2017-01-30abs ↗pdf ↗

The paper proves formulas for capillary surfaces and applies them to inequalities and area estimates.

problem Understanding capillary surfaces and their properties.
method Established monotonicity formulas for capillary surfaces in half-space and unit ball.
result Extended Li-Yau-type inequalities and optimal area estimates for capillary surfaces.

Between 2003 and 2015 the prices of apartments in Hong Kong (adjusted for inflation) increased by a factor of 3.8. This is much higher than in the United States prior to the so-called subprime crisis of 2007. The analysis of this speculative episode confirms the mechanism and regularities already highlighted by the pre…

2016-08-13abs ↗pdf ↗

In [Tohoku Math. J. 62 (2010), 45--53] the second author showed that, except for a few cases, the order NN of a cyclic group of self-homeomorphisms of a closed orientable topological surface SgS_g of genus g2g \geq 2 determines the group up to a topological conjugation, provided that N3gN\geq 3g. The first author et al…

2017-02-08abs ↗pdf ↗

In recent times, the use of separable convolutions in deep convolutional neural network architectures has been explored. Several researchers, most notably (Chollet, 2016) and (Ghosh, 2017) have used separable convolutions in their deep architectures and have demonstrated state of the art or close to state of the art pe…

2017-01-16abs ↗pdf ↗

We consider two stage estimation with a non-parametric first stage and a generalized method of moments second stage, in a simpler setting than (Chernozhukov et al. 2016). We give an alternative proof of the theorem given in (Chernozhukov et al. 2016) that orthogonal second stage moments, sample splitting and n1/4n^{1/4}-…

2017-04-12abs ↗pdf ↗

We give a complete classification of conformally covariant differential operators between the spaces of ii-forms on the sphere SnS^n and jj-forms on the totally geodesic hypersphere Sn1S^{n-1}. Moreover, we find explicit formulæ for these new matrix-valued operators in the flat coordinates in terms of basic operators …

2016-05-30abs ↗pdf ↗

New interpolation methods outperform Gaussian smoothing in derivative-free optimization.

problem Optimizing functions with noisy evaluations and no derivative information.
method First-order line search methods using linear interpolation vs. Gaussian smoothing.
result Linear interpolation yields better convergence rates and performance.

In this paper, a Wide Learning architecture is proposed that attempts to automate the feature engineering portion of the machine learning (ML) pipeline. Feature engineering is widely considered as the most time consuming and expert knowledge demanding portion of any ML task. The proposed feature recommendation approach…

2016-12-17abs ↗pdf ↗

EBR improves NMT by re-ranking samples drawn from MLE-trained models.

problem Discrepancy between MLE and BLEU score in neural machine translation.
method Train an energy-based model to mimic BLEU score, then use it for re-ranking.
result EBR consistently improves NMT performance by +4 BLEU points on IWSLT'14 German-English.

Embeddings of knowledge graphs have received significant attention due to their excellent performance for tasks like link prediction and entity resolution. In this short paper, we are providing a comparison of two state-of-the-art knowledge graph embeddings for which their equivalence has recently been established, i.e…

2017-07-05abs ↗pdf ↗

Permutations and matchings are core building blocks in a variety of latent variable models, as they allow us to align, canonicalize, and sort data. Learning in such models is difficult, however, because exact marginalization over these combinatorial objects is intractable. In response, this paper introduces a collectio…

2018-02-23abs ↗pdf ↗

We develop a robust framework for pricing and hedging of derivative securities in discrete-time financial markets. We consider markets with both dynamically and statically traded assets and make minimal measurability assumptions. We obtain an abstract (pointwise) Fundamental Theorem of Asset Pricing and Pricing--Hedgin…

2016-12-22abs ↗pdf ↗

Neural Information Processing Systems (NIPS) is a top-tier annual conference in machine learning. The 2016 edition of the conference comprised more than 2,400 paper submissions, 3,000 reviewers, and 8,000 attendees. This represents a growth of nearly 40% in terms of submissions, 96% in terms of reviewers, and over 100%…

2017-08-31abs ↗pdf ↗

We study the problem of maximizing a monotone submodular function subject to a cardinality constraint kk, with the added twist that a number of items ττ from the returned set may be removed. We focus on the worst-case setting considered in (Orlin et al., 2016), in which a constant-factor approximation guarantee was g…

2017-06-15abs ↗pdf ↗

Biologically plausible learning algorithms can match BP on large datasets.

problem Learning algorithms that are biologically plausible often perform poorly on large datasets.
method Evaluation of sign-symmetry and feedback alignment algorithms on ImageNet and MS COCO.
result Sign-symmetry algorithm can match BP performance on ImageNet and MS COCO.