1,308 research outputs found
Language discrimination by human newborns and by cotton-top tamarin monkeys
Humans, but no other animal, make meaningful use of spoken language. What is unclear, however, is whether this capacity depends on a unique constellation of perceptual and neurobiological mechanisms, or whether a subset of such mechanisms are shared with other organisms. To explore this problem, we conducted parallel experiments on human newborns and cotton-top tamarin monkeys to assess their ability to discriminate unfamiliar languages. Using a habituation-dishabituation procedure, we show that human newborns and tamarins can discriminate sentences from Dutch and Japanese, but not if the sentences are played backwards. Moreover, the cues for discrimination are not present in backward speech. This suggests that the human newborns' tuning to certain properties of speech relies on general processes of the primate auditory system
Constructing families of moderate-rank elliptic curves over number fields
We generalize a construction of families of moderate rank elliptic curves
over to number fields . The construction, originally
due to Steven J. Miller, \'Alvaro Lozano-Robledo and Scott Arms, invokes a
theorem of Rosen and Silverman to show that computing the rank of these curves
can be done by controlling the average of the traces of Frobenius, the
construction for number fields proceeds in essentially the same way. One
novelty of this method is that we can construct families of moderate rank
without having to explicitly determine points and calculating determinants of
height matrices.Comment: Version 1.0, 4 pages, sequel to arXiv:math/040657
Principal variables analysis for non-Gaussian data
Principal variables analysis (PVA) is a technique for selecting a subset of
variables that capture as much of the information in a dataset as possible.
Existing approaches for PVA are based on the Pearson correlation matrix, which
is not well-suited to describing the relationships between non-Gaussian
variables. We propose a generalized approach to PVA enabling the use of
different types of correlation, and we explore using Spearman, Gaussian copula,
and polychoric correlations as alternatives to Pearson correlation when
performing PVA. We compare performance in simulation studies varying the form
of the true multivariate distribution over a wide range of possibilities. Our
results show that on continuous non-Gaussian data, using generalized PVA with
Gaussian copula or Spearman correlations provides a major improvement in
performance compared to Pearson. Meanwhile, on ordinal data, generalized PVA
with polychoric correlations outperforms the rest by a wide margin. We apply
generalized PVA to a dataset of 102 clinical variables measured on individuals
with X-linked dystonia parkinsonism (XDP), a rare neurodegenerative disorder,
and we find that using different types of correlation yields substantively
different sets of principal variables
Therapeutic Phlebotomy Related to Polycythemia Vera and Hemochromatosis
This study looks at therapeutic phlebotomy as first-line treatment of blood disorders, including polycythemia vera and hemochromatosis. Some professionals prefer alternative treatments to phlebotomy
Extensions of Autocorrelation Inequalities with Applications to Additive Combinatorics
Barnard and Steinerberger [‘Three convolution inequalities on the real line with connections to additive combinatorics’, Preprint, 2019, arXiv:1903.08731] established the autocorrelation inequality
Min_(0≤t≤1)∫_Rf(x)f(x+t) dx ≤ 0.411||f||²L¹, for fϵL¹(R),
where the constant 0.4110.411 cannot be replaced by 0.370.37. In addition to being interesting and important in their own right, inequalities such as these have applications in additive combinatorics. We show that for f to be extremal for this inequality, we must have
max min_(x₁∈R 0≤t≤1)[f(x₁−t)+f(x₁+t)] ≤ min_max(x₂∈ R0≤t≤1)[f(x₂−t)+f(x₂+t)].
Our central technique for deriving this result is local perturbation of f to increase the value of the autocorrelation, while leaving ||f||L¹|| unchanged. These perturbation methods can be extended to examine a more general notion of autocorrelation. Let d, n∈Z⁺, f∈L¹, A be a d×n matrix with real entries and columns a_i for 1≤i≤n and C be a constant. For a broad class of matrices A, we prove necessary conditions for f to extremise autocorrelation inequalities of the form
Min_(t∈ [0,1]^d)∫R∏_(i=1)^n f(x+t⋅a_i)dx≤C||f||^nL¹
Financial Market Liberalization, Monetary Policy, And Housing Sector Dynamics
This paper considers how monetary policy, a Federal funds rate shock, affects the dynamics of the US housing sector and whether the financial market liberalization of the early 1980’s influenced those dynamics. The analysis uses impulse response functions obtained from a large-scale Bayesian vector autoregressive model at the national and four census regions. Overall, a 100 basis point Federal funds rate shock produces larger effects on real house prices, both at the regional level and the national level, in the post-liberalization period when compared to the pre-liberalization era. While the precision of the estimates do not imply significant differences, the finding does offer a caution. That is, the housing market appears more sensitive to monetary policy shocks in the post-liberalization period. Thus, the monetary authorities may need to exercise more care in implementing Federal funds rate adjustments going forward. Finally, we find that the reaction of housing sector proves heterogeneous across regions
Comparing a Year of Legal Inbound Travel: The United States and Canada- 2009
This study initially set out to compare the cross-border flow of people into the U.S. and Canada over the course of one year. The research team at the BPRI chose to look at cross border flow for 2009, finding it to be the most recent comparable year. To begin this research, we set out with several general questions such as “who is crossing?”, “how many?”, “from where?” and “why?” We intended to first collect the quantitative data and then look at how the flow of people reflects or perhaps complicates the border and immigration policies, as well as the values, of each nation
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