INTERVIEW PREP

数学与非代码面试题

覆盖数学、概率、统计、脑筋急转弯、机器学习和金融。这里负责筛选和进入单题;编程题使用独立的 LeetCode 式 coding lab。

题目
4169
领域
8
当前筛选
1751

35 / 88

非代码面试题

显示 20 / 1751 道匹配题目

答题状态:未尝试未正确已正确
3230Sparse Event Rates and Online CalibrationWhy is a Bayesian approach often attractive when you are updating a very sparse event rate online, such as rare failures or rare fills?统计中等essay未尝试面试订阅3231Why a Sharpe Confidence Interval Is Not a Posterior BeliefA PM says, "The frequentist 95% confidence interval for Sharpe is mostly above zero, so there is a 95% chance the true Sharpe is positive." Why is that statement mixing two frameworks?统计中等essay未尝试面试订阅3232BIC Versus Bayes FactorWhy is BIC often described as an approximation to Bayesian model comparison rather than the same thing as a Bayes factor?统计中等essay未尝试面试订阅3233Frequentist Risk Does Not Condition on a PriorWhat is the key conceptual difference between minimizing Bayes risk under a prior and minimizing frequentist risk or regret uniformly over parameter values?统计中等essay未尝试面试订阅3234Partial Pooling Versus Separate FitsWhy does a hierarchical Bayesian model for many related assets often produce more stable estimates than fitting each asset separately and then testing them one by one?统计简单essay未尝试面试订阅3235Predictive Interval Versus Interval for the MeanWhy is a Bayesian posterior predictive interval for next week's count answering a different question from a frequentist confidence interval for the underlying mean count?统计简单essay未尝试面试订阅3236Can a p-Value Be Combined with Prior Conviction?A trader says, "I had a strong prior view, and the p-value came out 0.03, so now I can blend the two and call the trade 97% likely." Why is that not a coherent frequentist calculation?统计简单essay未尝试面试订阅3237Why a Posterior Mean Can Move While the MLE Does NotA desk observes only 4 new defaults for a rare event. Using a strong historical Beta prior, the Bayesian posterior mean default rate is much lower than the sample proportion, while the frequentist MLE equals the sample proportion exactly. Explain why these two answers can legitimately differ and what each one is conditioning on.统计简单essay未尝试面试订阅3238Empirical Bayes Sits Between the CampsWhy does empirical Bayes often feel like it sits between Bayesian and frequentist workflows?统计简单essay未尝试面试订阅3239Large p-Value Does Not Mean High Posterior Null ProbabilityWhy is it dangerous to read a large p-value as strong evidence that the null is true?统计简单essay未尝试面试订阅3240Prior Sensitivity Is a Feature, Not Always a BugWhy can prior sensitivity analysis be a feature rather than a bug in a high-stakes decision problem?统计简单essay未尝试面试订阅3241Directional Derivative Along a Unit DiagonalLet f(x,y)=1x 2+2y 2. Compute the directional derivative of f at (1,1) in the direction of the vector (1,1).数学中等derivation未尝试面试订阅3242Directional Derivative of a Quadratic BowlLet f(x,y)=2x 2+1y 2. Compute the directional derivative at (1,-1) in the direction of (3,4).数学中等derivation未尝试面试订阅3243Directional Derivative of a Product SurfaceLet f(x,y)=xy. Compute the directional derivative at (2,3) in the direction of (0,1).数学中等derivation未尝试面试订阅3244Directional Derivative of an Exponential PlaneLet f(x,y)=e x-y . Compute the directional derivative at the origin in the direction of (4,3).数学中等derivation未尝试面试订阅3245Directional Derivative of a Log LevelLet f(x,y)=\ln(x+y). Compute the directional derivative at (1,2) in the direction of (1,0).数学中等derivation未尝试面试订阅3246Jacobian of a Scaling MapFor the transformation x=2u,\ y=3v, compute the absolute Jacobian determinant | \partial(x,y) \partial(u,v) |.数学中等derivation未尝试面试订阅3247Jacobian of a Shear-Rotation Style MapFor x=u+v,\ y=u-v, compute | \partial(x,y) \partial(u,v) |.数学中等derivation未尝试面试订阅3248Polar Coordinates JacobianFor x=r\cos ,\ y=r\sin , compute | \partial(x,y) \partial(r, ) |.数学中等derivation未尝试面试订阅3249Jacobian of a Triangular MapFor x=u,\ y=u+2v, compute | \partial(x,y) \partial(u,v) |.数学中等derivation未尝试面试订阅