From d50a24749982f648fae3f4ec65438f20505c4306 Mon Sep 17 00:00:00 2001 From: Ting-Jun Wang Date: Tue, 10 Oct 2023 18:31:27 +0800 Subject: [PATCH] feat: hw2 --- hw2/hw2_10.png | Bin 0 -> 28104 bytes hw2/hw2_10.py | 54 ++++++++++++++++++++++++++++++++++++++++++++++++ hw2/hw2_11.png | Bin 0 -> 23561 bytes hw2/hw2_11.py | 55 +++++++++++++++++++++++++++++++++++++++++++++++++ hw2/hw2_12.png | Bin 0 -> 30801 bytes hw2/hw2_12.py | 42 +++++++++++++++++++++++++++++++++++++ 6 files changed, 151 insertions(+) create mode 100644 hw2/hw2_10.png create mode 100644 hw2/hw2_10.py create mode 100644 hw2/hw2_11.png create mode 100644 hw2/hw2_11.py create mode 100644 hw2/hw2_12.png create mode 100644 hw2/hw2_12.py diff --git a/hw2/hw2_10.png b/hw2/hw2_10.png new file mode 100644 index 0000000000000000000000000000000000000000..72c739e7f318d4da5b964cbf82ede3829cbfa871 GIT binary patch literal 28104 zcmd?RbyStz+CI8K6cCY8kdOvNrIc=^l@cVR8ziNrF)0B76(pskLApaEMY_8~x;xJO 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= np.sort(x) + y = np.sign(x) + noise_mask = ( np.random.rand(length) <= noise_prob ) + y[noise_mask] *= -1 + return x, y + +def decision_stump(x, y): + theta_seq = np.array([-1] + [(x[i]+x[i+1])/2 for i in range(x.shape[0]-1)]) + + best_Ein = 1e9 + theta_ans = np.random.uniform(-1, 1, 1)[0] + sign_ans = ( np.random.uniform(-1, 1, 1)[0] > 0 ) + + h_of_x = sign_ans * np.sign(x-np.array([theta_ans]*x.shape[0])) + Ein = (h_of_x != y).sum() + + return Ein/x.shape[0], theta_ans, sign_ans + + +Ein_log, Eout_log = [], [] +for i in range(2000): + x, y = generate_data(8, 0.1) + # print(x, y) + Ein, theta, sign = decision_stump(x, y) + # print(Ein, theta, sign) + Ein_log.append(Ein) + Eout_log.append(0.5-0.4*sign+0.4*sign*abs(theta)) + +gap = sorted([ Eout_log[i]-Ein_log[i] for i in range(2000) ]) +median = (gap[999]+gap[1000])/2 + +plt.scatter(Ein_log, Eout_log) +plt.xlabel("Ein") +plt.ylabel("Eout") +plt.title("median: {}".format(median)) +plt.savefig("hw2_12.png") +plt.show()