Do not Waste Money on Advertising Spend: Bid Recommendation via Concavity Changes

In computational advertising, a challenging problem is how to recommend the bid for advertisers to achieve the best return on investment (ROI) given budget constraint. This paper presents a bid recommendation scenario that discovers the concavity changes in click prediction curves. The recommended bid is derived based on the turning point from significant increase (i.e. concave downward) to slow increase (convex upward). Parametric learning based method is applied by solving the corresponding constraint optimization problem. Empirical studies on real-world advertising scenarios clearly demonstrate the performance gains for business metrics (including revenue increase, click increase and advertiser ROI increase).Comment: 10 page

Demystifying Advertising Campaign Bid Recommendation: A Constraint target CPA Goal Optimization

In cost-per-click (CPC) or cost-per-impression (CPM) advertising campaigns, advertisers always run the risk of spending the budget without getting enough conversions. Moreover, the bidding on advertising inventory has few connections with propensity one that can reach to target cost-per-acquisition (tCPA) goals. To address this problem, this paper presents a bid optimization scenario to achieve the desired tCPA goals for advertisers. In particular, we build the optimization engine to make a decision by solving the rigorously formalized constrained optimization problem, which leverages the bid landscape model learned from rich historical auction data using non-parametric learning. The proposed model can naturally recommend the bid that meets the advertisers' expectations by making inference over advertisers' historical auction behaviors, which essentially deals with the data challenges commonly faced by bid landscape modeling: incomplete logs in auctions, and uncertainty due to the variation and fluctuations in advertising bidding behaviors. The bid optimization model outperforms the baseline methods on real-world campaigns, and has been applied into a wide range of scenarios for performance improvement and revenue liftup

The gap in injury mortality rates between urban and rural residents of Hubei province, China

<p>Abstract</p> <p>Background</p> <p>Injury is a growing public health concern in China. Injury death rates are often higher in rural areas than in urban areas in general. The objective of this study is to compare the injury mortality rates in urban and rural residents in Hubei Province in central China by age, sex and mechanism of injury.</p> <p>Methods</p> <p>Using data from the Disease Surveillance Points (DSP) system maintained by the Hubei Province Centers for Disease Control and Prevention (CDC) from 2006 to 2008, injury deaths were classified according to the International Classification of Disease-10^thRevision (ICD-10). Crude and age-adjusted annual mortality rates were calculated for rural and urban residents of Hubei Province.</p> <p>Results</p> <p>The crude and age-adjusted injury death rates were significantly higher for rural residents than for urban residents (crude rate ratio 1.9, 95% confidence interval 1.8-2.0; adjusted rate ratio 2.4, 95% confidence interval 2.3-2.4). The age-adjusted injury death rate for males was 81.6/100,000 in rural areas compared with 37.0/100 000 in urban areas; for females, the respective rates were 57.9/100,000 and 22.4/100 000. Death rates for suicide (32.4 per 100 000 vs 3.9 per 100 000), traffic-related injuries (15.8 per 100 000 vs 9.5 per 100 000), drowning (6.9 per 100 000 vs 2.3 per 100 000) and crushing injuries (2.0 per 100 000 vs 0.7 per 100 000) were significantly higher in rural areas. Overall injury death rates were much higher in persons over 65 years, with significantly higher rates in rural residents compared with urban residents for suicide (279.8 per 100 000 vs 10.7 per 100 000), traffic-related injuries, and drownings in this age group. Death rates for falls, poisoning, and suffocation were similar in the two geographic groups.</p> <p>Conclusions</p> <p>Rates of suicide, traffic-related injury deaths and drownings are demonstrably higher in rural compared with urban locations and should be targeted for injury prevention activity. There is a need for injury prevention policies targeted at elderly residents, especially with regard to suicide prevention in rural areas in Central China.</p

The existence of Gabor bases and frames

Abstract. For an arbitrary full rank lattice Λ in R 2d and a function g ∈ L 2 (R d) the Gabor (or Weyl-Heisenberg) system is G(Λ, g): = {e 2πi〈ℓ,x 〉 g(x − κ) ˛ ˛ (κ, ℓ) ∈ Λ}. It is well-known that a necessary condition for G(Λ, g) to be an orthonormal basis for L 2 (R d) is that the density of Λ has D(Λ) = 1. However, except for symplectic lattices it remains an unsolved question whether D(Λ) = 1 is sufficient for the existence of a g ∈ L 2 (R d) such that G(Λ, g) is an orthonormal basis. We investigate this problem and prove that this is true for some of the important cases. In particular we show that this is true for Λ = MZ d where M is either a block triangular matrix or any rational matrix with | det M | = 1. Moreover, if M is rational we prove that there exists a compactly supported g such that G(Λ, g) is an orthonormal basis. We also obtain similar results for Gabor frames when D(Λ) ≥ 1. 1

Lattice Tiling and the Weyl-Heisenberg Frames

Let L and K be two full rank lattices in R d . We prove that if v(L) = v(K), i.e. they have the same volume, then there exists a measurable set such that it tiles R d by both L and K. A counterexample shows that the above tiling result is false for three or more lattices. Furthermore, we prove that if v(L) v(K) then there exists a measurable set such that it tiles by L and packs by K. Using these tiling results we answer a well known question on the density property of Weyl-Heisenberg frames. 1991 Mathematics Subject Classication. Primary 52C22, 52C17, 42B99, 42C30. Key words and phrases. Multiple lattice tile, lattice tiling, Weyl-Heisenberg family, Gabor frame, density theorem. 1 Introduction Let L and K be two full-rank lattices in R d , and let g(x) 2 L 2 (R d ). The Weyl-Heisenberg family, also known as the Gabor family, is the following family of functions in L 2 (R d ): G(L;K; g) := n e 2ih`;xi g(x ) ` 2 L; 2 K o : (1.1) Such a family was..

Abstract

Let L and K be two full rank lattices in R d. We prove that if v(L)=v(K), i.e. they have the same volume, then there exists a measurable set Ω such that it tiles R d by both L and K. A counterexample shows that the above tiling result is false for three or more lattices. Furthermore, we prove that if v(L) ≤ v(K) then there exists a measurable set Ω such that it tiles by L and packs by K. Using these tiling results we answer a well known question on the density property of Weyl-Heisenberg frames. 1991 Mathematics Subject Classification. Primary 52C22, 52C17, 42B99, 42C30. Key words and phrases. Multiple lattice tile, lattice tiling, Weyl-Heisenberg family, Gabor frame, density theorem.