{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction\n", "\n", "In this notebook you find the code developed for the experimental section of our paper [1].\n", "\n", "The reminder of this notebook goes as follows:\n", "1. download dataset;\n", "2. parse dataset;\n", "3. observed user behaviour (Table 1);\n", "4. sDCG and sRBP discount functions;\n", "5. fit discount functions on the observed user behaviour (Figure 3, Table 2, 3, 4 and 5);\n", "6. correlation analysis (Figure 4 and 5, Table 6 and 7)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import sys, os, math, re, gzip, xml.etree.ElementTree, urllib.request, plotly\n", "import pandas as pd\n", "import numpy as np\n", "import scipy.stats as stats\n", "import plotly.graph_objs as go\n", "from plotly.offline import download_plotlyjs, init_notebook_mode, plot, iplot\n", "from tqdm import tqdm_notebook\n", "from scipy import signal\n", "from bs4 import BeautifulSoup as bs\n", "\n", "plotly.offline.init_notebook_mode(connected=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Download Dataset \n", "\n", "From TREC ([trec.nist.gov](http://trec.nist.gov)) we download the dataset. This dataset consists of: \n", "1. a qrels file; \n", "2. a session-topic mapping file;\n", "2. sessions files, and; \n", "4. search results.\n", "\n", "However, in order to download the search results you need to request username and password following the instructions you find on this [link](https://trec.nist.gov/results.html).\n", "\n", "## QRels" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "https://trec.nist.gov/data/session/2014/judgments.txt\n" ] } ], "source": [ "if not os.path.isfile('qrels.txt'):\n", " url_qrels = \"https://trec.nist.gov/data/session/2014/judgments.txt\"\n", " urllib.request.urlretrieve(url_qrels, \"qrels.txt\")\n", " print(url_qrels)\n", "else:\n", " print('qrels.txt file exists')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Session-topic Mapping" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "https://trec.nist.gov/data/session/2014/session-topic-mapping.txt\n" ] } ], "source": [ "if not os.path.isfile('session_to_topic.txt'):\n", " url_session_to_topic = \"https://trec.nist.gov/data/session/2014/session-topic-mapping.txt\"\n", " !rm -f session_to_topic.txt\n", " urllib.request.urlretrieve(url_session_to_topic, \"session_to_topic.txt\")\n", " print(url_session_to_topic)\n", "else:\n", " print('session_to_topic.txt file exists')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sessions" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "https://trec.nist.gov/data/session/2014/sessiontrack2014.xml.gz\n" ] } ], "source": [ "if not os.path.isfile('sessions.xml'):\n", " url_sessions = \"https://trec.nist.gov/data/session/2014/sessiontrack2014.xml.gz\"\n", " urllib.request.urlretrieve(url_sessions, \"sessions.xml.gz\")\n", " !gunzip sessions.xml.gz\n", " print(url_sessions)\n", "else:\n", " print('sessions.xml file exists')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Search Results\n", "\n", "To execute the following code you need to first obtain username and password using this [link](https://trec.nist.gov/results.html). Then, replace the strings \"username\" and \"password\" with the correct ones." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "https://trec.nist.gov/results/trec23/./session/input-ECxCGxPRF.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ECxCGxPRF.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ECxCGxPRF.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ECxSRMxOS.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ECxSRMxOS.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ECxSRMxOS.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ECxSRMxPRF.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ECxSRMxPRF.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ECxSRMxPRF.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-GUS14Run1.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-GUS14Run1.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-GUS14Run1.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-GUS14Run2.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-GUS14Run2.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-GUS14Run2.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-GUS14Run3.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-GUS14Run3.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-GUS14Run3.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ICTNET14SER1.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ICTNET14SER1.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ICTNET14SER1.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ICTNET14SER2.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ICTNET14SER2.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ICTNET14SER2.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ICTNET14SER3.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ICTNET14SER3.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ICTNET14SER3.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-RAMA.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-RAMA.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-RAMA.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-SCIAITeamC.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-SCIAITeamC.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-SCIAITeamF.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-SCIAITeamF.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-SCIAITeamL.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-SCIAITeamL.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS1.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS1.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS1.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS2.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS2.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS2.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS3.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS3.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS3.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS4.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS4.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-UMASS4.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-WLZNTJU.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-WLZNTJU.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-WLZNTJU.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ecnusession1.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ecnusession1.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ecnusession1.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ecnusession2.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ecnusession2.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ecnusession2.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ecnusession3.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ecnusession3.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-ecnusession3.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-uclbaseline.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-udel14Run1.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-udel14Run1.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-udelitu.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-webis2014act.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-webis2014act.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-webis2014act.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-webis2014db.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-webis2014db.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-webis2014db.RL3.gz\n", "https://trec.nist.gov/results/trec23/./session/input-webisSt14ax.RL1.gz\n", "https://trec.nist.gov/results/trec23/./session/input-webisSt14ax.RL2.gz\n", "https://trec.nist.gov/results/trec23/./session/input-webisSt14ax.RL3.gz\n" ] } ], "source": [ "username = \"username\"\n", "password = \"password\"\n", "\n", "if not os.path.isdir('session') or len(os.listdir('session')) == 0:\n", " password_mgr = urllib.request.HTTPPasswordMgrWithDefaultRealm()\n", " top_level_url = \"https://trec.nist.gov/results\"\n", " password_mgr.add_password(None, top_level_url, username, password)\n", " handler = urllib.request.HTTPBasicAuthHandler(password_mgr)\n", " opener = urllib.request.build_opener(handler)\n", " urllib.request.install_opener(opener)\n", "\n", " !rm -f -r session\n", " !mkdir session\n", "\n", " runs_page = opener.open(\"https://trec.nist.gov/results/trec23/session.input.html\")\n", " soup = bs(runs_page)\n", " for link in soup.findAll('a', attrs={'href': re.compile(\".*\\.gz\")}):\n", " run_path = link.get(\"href\")\n", " url_run = \"https://trec.nist.gov/results/trec23/\"+run_path\n", " print(url_run)\n", " urllib.request.urlretrieve(url_run, run_path)\n", "else:\n", " print('a session folder exists and is not empty')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Parse Dataset\n", "\n", "With the following code we parse the downloaded files into data-structures needed for the experiments below. \n", "\n", "## QRels" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "159d45cc68c4472994a80821fc71c4b3", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, max=16949), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "qrels = {}\n", "with open(\"qrels.txt\") as file:\n", " for line in tqdm_notebook(file.readlines()):\n", " elem = line.split(\" \")\n", " topic = int(elem[0])\n", " document = elem[2]\n", " rel = int(elem[3])\n", " if not topic in qrels:\n", " qrels[topic] = {}\n", " if not document in qrels[topic]:\n", " qrels[topic][document] = {}\n", " qrels[topic][document][0] = rel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Session-topic Mapping" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "ff2f4054803544be85cc34432a1ceb53", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, max=101), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "session_qrels_remap = {}\n", "with open(\"session_to_topic.txt\") as file:\n", " for line in tqdm_notebook(file.readlines()):\n", " elem = re.split(\"\\s+\", line.strip())\n", " if not elem[0].startswith('#') and len(elem) >= 2:\n", " session = int(elem[0])\n", " topic = int(elem[1])\n", " session_qrels_remap[session] = topic" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sessions\n", "\n", "Each session is represented by a list of strings having the following meaning:\n", "\n", "* **q-{n}:** The session has started. n is the number of judged relevant documents for the topic associated to this session;\n", "\n", "* **r:** The user has reformulated the query;\n", "\n", "* **e-{r}:** The user has examined the snippet or clicked on the document link. r is 1 when the document is relevant to the topic and 0 otherwise;\n", "\n", "* **n-{r}:** The user has not examined the snippet or clicked on the document link. r is 1 when the document is relevant to the topic and 0 otherwise;\n", "\n", "* **f:** The end of the session." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "71b22b1816e74d1ab922c8169e260254", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, max=1257), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "xml_sessions = xml.etree.ElementTree.parse(\"sessions.xml\").getroot()\n", "\n", "sessions = {}\n", "for xml_session in tqdm_notebook(xml_sessions.findall('session')):\n", " session = int(xml_session.get('num'))\n", " \n", " topic = 0\n", " if session in session_qrels_remap:\n", " topic = session_qrels_remap[session]\n", " \n", " max_reformulate = 0\n", " rels_found = set()\n", " sessions[session] = []\n", " for xml_interaction in xml_session.findall('interaction'):\n", " interaction = int(xml_interaction.get(\"num\"))\n", " interaction_type = xml_interaction.get(\"type\")\n", " \n", " if interaction == 1:\n", " if topic > 0:\n", " n_rel = 0\n", " for doc in qrels[topic]:\n", " if qrels[topic][doc][0] > 0:\n", " n_rel += 1\n", " sessions[session].append(\"q-\"+str(n_rel))\n", " else:\n", " sessions[session].append(\"q\")\n", " max_reformulate = 0\n", " elif interaction_type == \"reformulate\":\n", " sessions[session].append(\"r\")\n", " max_reformulate +=1\n", " \n", " rels = {}\n", " if topic > 0:\n", " for xml_result in xml_interaction.find(\"results\").findall(\"result\"):\n", " rank = int(xml_result.get(\"rank\"))\n", " document = xml_result.find(\"clueweb12id\").text\n", " \n", " rels[rank] = 0\n", " if document in qrels[topic] and document not in rels_found and qrels[topic][document][0] > 0:\n", " #rels_found.add(document)\n", " rels[rank] = 1\n", " \n", " max_rank = -1\n", " for xml_result in xml_interaction.find(\"results\").findall(\"result\"):\n", " max_rank = int(xml_result.get(\"rank\"))\n", " break\n", " \n", " if xml_interaction.find(\"clicked\"):\n", " for xml_click in xml_interaction.find(\"clicked\").findall(\"click\"):\n", " max_rank = int(xml_click.find(\"rank\").text)\n", " \n", " for xml_result in xml_interaction.find(\"results\").findall(\"result\"):\n", " rank = int(xml_result.get(\"rank\"))\n", " if topic > 0:\n", " if rank <= max_rank:\n", " if rels[rank] > 0:\n", " sessions[session].append(\"e-1\")\n", " else:\n", " sessions[session].append(\"e-0\")\n", " else:\n", " if rels[rank] > 0:\n", " sessions[session].append(\"n-1\")\n", " else:\n", " sessions[session].append(\"n-0\")\n", " else:\n", " if rank <= max_rank:\n", " sessions[session].append(\"e\")\n", " else:\n", " sessions[session].append(\"n\")\n", " \n", " is_e = False\n", " i = len(sessions[session]) - 1\n", " while i >= 0:\n", " if sessions[session][i] == \"q\" or sessions[session][i] == \"r\":\n", " break\n", " elif sessions[session][i].startswith(\"e\"):\n", " is_e = True\n", " elif is_e:\n", " sessions[session][i] = sessions[session][i].replace(\"n\", \"e\")\n", " i-=1\n", " \n", " sessions[session].append(\"f\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Search Results" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8e7cb003720c4e38bd0f0bf1780f9100", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, max=73), HTML(value='')))" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "runs = {}\n", "\n", "for path, dirs, files in os.walk('./session'):\n", " for run_name in tqdm_notebook(files):\n", " run_path = \"session/\"+run_name\n", " with gzip.open(run_path, \"rb\") as file:\n", " runs[run_name] = {}\n", " for line in file:\n", " elem = str(line).split(\" \")[0:4]\n", " session = int(elem[0].split(\"'\")[1])\n", " topic = 0\n", " if session in session_qrels_remap:\n", " topic = session_qrels_remap[session]\n", " if topic > 0 and topic in qrels:\n", " if session not in runs[run_name]:\n", " runs[run_name][session] = []\n", "\n", " document = elem[2]\n", " rank = elem[3]\n", " rel = 0\n", " if document in qrels[topic] and qrels[topic][document][0] > 0:\n", " rel = 1\n", " if rank == 1:\n", " runs[run_name][session].append(\"r\")\n", " runs[run_name][session].append(\"n-\" + str(rel))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Observed User Behaviours (Table 1)\n", "\n", "With this code we compute the observed user behaviours.\n", "\n", "## Over Sessions\n", "\n", "This generates a dataframe representing the observed examination probability distribution over queries, reformulations and ranks." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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"max_reformulation = 0\n", "max_rank = 0\n", "for session in sessions:\n", " m = 0\n", " n = 0\n", " for event in range(len(sessions[session])):\n", " if sessions[session][event].startswith(\"q\"):\n", " m = 0\n", " n = 0\n", " if sessions[session][event].startswith(\"e\"):\n", " n += 1\n", " if sessions[session][event] == \"r\":\n", " m += 1\n", " n = 0\n", " if m > max_reformulation:\n", " max_reformulation = m\n", " if n > max_rank:\n", " max_rank = n\n", " \n", "count = [[0] * max_rank for i in range(max_reformulation+1)]\n", "for session in sessions:\n", " m = 0\n", " n = 0\n", " for event in range(len(sessions[session])):\n", " if sessions[session][event].startswith(\"q\"):\n", " m = 0\n", " n = 0\n", " if sessions[session][event].startswith(\"e\"):\n", " count[m][n] += 1\n", " n += 1\n", " if sessions[session][event] == \"r\":\n", " m += 1\n", " n = 0\n", " \n", "df = pd.DataFrame(count)\n", "df = df/df.values.sum()\n", "gt = df.values\n", "df.transpose()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Over Independent Queries\n", "\n", "We do the same but this time assuming every query as part of its own session, i.e. queries and reformulations are treated independently." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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"58 0.000128\n", "59 0.000128\n", "60 0.000128\n", "\n", "[61 rows x 1 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "count = [0] * max_rank\n", "for session in sessions:\n", " m = 0\n", " n = 0\n", " for event in range(len(sessions[session])):\n", " if sessions[session][event].startswith(\"q\"):\n", " m = 0\n", " n = 0\n", " if sessions[session][event].startswith(\"e\"):\n", " count[n] += 1\n", " n += 1\n", " if sessions[session][event] == \"r\":\n", " m += 1\n", " n = 0\n", " \n", "df = pd.DataFrame(count)\n", "df = df/df.values.sum()\n", "nt = df.values\n", "df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# sDCG and sRBP Discount Functions\n", "\n", "Here we define the discount functions for sDCG and sRBP." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def d_sdcg(bq, b, m, n):\n", " return 1.0/((1.0 + math.log(m+1, bq))*math.log(n+2, b))\n", "\n", "def d_srbp(b, p, m, n):\n", " def spow(base, exp):\n", " if base == 0 and exp == 0:\n", " return 1.0\n", " else:\n", " return base**exp\n", " \n", " if b == 1.0 and p == 1.0:\n", " if m == 0:\n", " return spow(b*p, n)\n", " else:\n", " return 0.0\n", " else:\n", " return spow((p - b*p)/(1.0 - b*p), m)*spow(b*p, n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting on the Observed User Behaviours (Figure 3, Table 2, 3, 4, and 5)\n", "\n", "We now fit the discount functions on the observed user behaviours using as a loss function the total squared error (TSE)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "M = gt.shape[0]\n", "N = gt.shape[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## On Sessions\n", "\n", "### sRBP" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "bfc23694a4b841dc8dfa1577a5b32d16", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, description='TSE: 17976931348623157081452742373170435679807056752584499659…" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "b = 0.64 , p = 0.86 , TSE = 0.0046\n" ] } ], "source": [ "min_err = sys.float_info.max\n", "res = 100\n", "best_p = -1\n", "best_b = -1\n", "grid = {}\n", "\n", "def tse_srbp(b, p):\n", " norm = 0.0\n", " for i in range(M*N):\n", " norm += d_srbp(b, p, i//N, i%N)\n", " err = 0.0\n", " for i in range(M*N):\n", " err += (gt[i//N, i%N]-d_srbp(b, p, i//N, i%N)/norm)**2\n", " return err\n", "\n", "t = tqdm_notebook(np.linspace(0, 1, res+1), desc = \"TSE: {:.4f}\".format(min_err))\n", "for p_i, p in enumerate(t):\n", "\n", " grid[p_i] = []\n", " for b in np.linspace(0, 1, res+1):\n", " \n", " err = tse_srbp(b, p)\n", " \n", " grid[p_i].append(err)\n", "\n", " if err < min_err:\n", " min_err = err\n", " best_p = p\n", " best_b = b\n", " t.set_description(\"TSE: {:.4f}\".format(min_err))\n", "\n", "grid = pd.DataFrame.from_dict(grid)\n", "\n", "srbp_best_b = best_b\n", "srbp_best_p = best_p\n", "\n", "print(\"b =\", best_b, \", p =\", best_p, \", TSE = {:.4f}\".format(min_err))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Sensitivity Plots (Figure 3)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "colorscale": "Viridis", "reversescale": true, "type": "surface", "uid": "2770ac00-f32d-4a7f-bbe8-fac5d113471b", "x": [ 0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35000000000000003, 0.36, 0.37, 0.38, 0.39, 0.4, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_min = []\n", "y_min = []\n", "z_min = []\n", "g_min = sys.float_info.max\n", "\n", "for i in range(grid.shape[0]):\n", " _z_min = sys.float_info.max\n", " for j in range(grid.shape[1]):\n", " if grid[i][j] < _z_min:\n", " _z_min = grid[i][j]\n", " _x_min = i\n", " _y_min = j\n", " \n", " count_min = 0\n", " for j in range(grid.shape[1]):\n", " if grid[i][j] == _z_min:\n", " count_min += 1\n", " \n", " if count_min == 1:\n", " x_min.append(_x_min/res)\n", " y_min.append(_y_min/res)\n", " z_min.append(_z_min)\n", " g_min = _z_min\n", " \n", "x_min_p = x_min\n", "y_min_p = y_min\n", "z_min_p = z_min\n", "g_min_p = g_min\n", "\n", "x_min = []\n", "y_min = []\n", "z_min = []\n", "g_min = sys.float_info.max\n", "\n", "for j in range(grid.shape[0]):\n", " _z_min = sys.float_info.max\n", " for i in range(grid.shape[1]):\n", " if grid[i][j] < _z_min:\n", " _z_min = grid[i][j]\n", " _x_min = i\n", " _y_min = j\n", " \n", " count_min = 0\n", " for i in range(grid.shape[1]):\n", " if grid[i][j] == _z_min:\n", " count_min += 1\n", " \n", " if count_min == 1:# and _z_min < g_min:\n", " x_min.append(_x_min/res)\n", " y_min.append(_y_min/res)\n", " z_min.append(_z_min)\n", " g_min = _z_min\n", "\n", "x_min_b = x_min\n", "y_min_b = y_min\n", "z_min_b = z_min\n", "g_min_b = g_min\n", "\n", "data = [\n", " go.Surface(x=np.linspace(0, 1, res+1), y=np.linspace(0, 1, res+1), z=grid.values, \n", " colorscale='Viridis', reversescale=True),\n", " go.Scatter3d(x=signal.savgol_filter(x_min_p, 7, 1), y=signal.savgol_filter(y_min_p, 7, 1), z=z_min_p, \n", " mode='lines',\n", " line=dict(color='black', width=5),\n", " showlegend=False),\n", " go.Scatter3d(x=signal.savgol_filter(x_min_b, 7, 1), y=signal.savgol_filter(y_min_b, 7, 1), z=z_min_b, \n", " mode='lines',\n", " line=dict(color='black', width=5),\n", " showlegend=False)]\n", "\n", "layout = go.Layout(\n", " scene=dict(\n", " xaxis=dict(title='p', showbackground=True, backgroundcolor='rgb(230, 230,230)', gridcolor='rgb(255, 255, 255)', zerolinecolor='rgb(255, 255, 255)'),\n", " yaxis=dict(title='b', showbackground=True, backgroundcolor='rgb(230, 230,230)', gridcolor='rgb(255, 255, 255)', zerolinecolor='rgb(255, 255, 255)'),\n", " zaxis=dict(title='TSE', showbackground=True, backgroundcolor='rgb(230, 230,230)', gridcolor='rgb(255, 255, 255)', zerolinecolor='rgb(255, 255, 255)')))\n", "\n", "fig = go.Figure(data=data, layout=layout)\n", "iplot(fig)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "best_p_i = -1\n", "best_b_i = -1\n", "for p_i, p in enumerate(np.linspace(0, 1, res+1)):\n", " for b_i, b in enumerate(np.linspace(0, 1, res+1)):\n", " if min_err == grid.iat[p_i, b_i]:\n", " best_p_i = p_i\n", " best_b_i = b_i" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "def plot_line(name_x, x, name_y, y):\n", " trace = go.Scatter(\n", " x = x,\n", " y = y)\n", "\n", " layout = go.Layout(\n", " xaxis=go.layout.XAxis(title=go.layout.xaxis.Title(text=name_x)),\n", " yaxis=go.layout.YAxis(title=go.layout.yaxis.Title(text=name_y)))\n", " \n", " data = [trace]\n", " \n", " fig = go.Figure(data=data, layout=layout)\n", " iplot(fig)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "type": "scatter", "uid": "7b2dc555-722c-4b6a-9a30-9e094508d1dc", "x": [ 0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35000000000000003, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41000000000000003, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47000000000000003, 0.48, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.5700000000000001, 0.58, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.6900000000000001, 0.7000000000000001, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.8200000000000001, 0.8300000000000001, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.9400000000000001, 0.9500000000000001, 0.96, 0.97, 0.98, 0.99, 1 ], "y": [ 0.7315089746135779, 0.7136148672803633, 0.6960276800154239, 0.6787422515975174, 0.6617535602268572, 0.6450567195049072, 0.6286469745765639, 0.6125196984286173, 0.5966703883387394, 0.5810946624695511, 0.5657882566027148, 0.5507470210082805, 0.5359669174448052, 0.5214440162861553, 0.507174493771056, 0.49315462937189997, 0.47938080327945826, 0.4658494940005239, 0.45255727606575163, 0.4395008178452093, 0.4266768794694827, 0.4140823108544081, 0.40171404982780423, 0.389569120356856, 0.37764463087510225, 0.36593777270824085, 0.35444581859834523, 0.3431661213263295, 0.33209611243288045, 0.32123330103845354, 0.31057527276322955, 0.300119688748416, 0.28986428478065485, 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0.008845939932378626, 0.00751070420270619, 0.006414427518076882, 0.005566885289056442, 0.004978851397758859, 0.0046620938719531225, 0.004629307346166672, 0.004893950168454712, 0.00546994475024962, 0.006371191077106623, 0.007610837998275758, 0.009200259556680936, 0.011147700631653596, 0.013456595054824442, 0.016123626377456308, 0.019136697166590177, 0.02247308581921992, 0.026098171956578466, 0.029965157173735324, 0.03401614683254412, 0.03818476001402865 ] } ], "layout": { "xaxis": { "title": { "text": "b" } }, "yaxis": { "title": { "text": "TSE" } } } }, "text/html": [ "
\n", " \n", " \n", "
\n", " \n", "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = grid.values[best_p_i]\n", "x = np.linspace(0, 1, res+1)\n", "\n", "\n", "plot_line(\"b\", x, \"TSE\", y)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "type": "scatter", "uid": "37072c25-f745-4e0c-8332-3fd7af5caaaa", "x": [ 0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1, 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3, 0.31, 0.32, 0.33, 0.34, 0.35000000000000003, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41000000000000003, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47000000000000003, 0.48, 0.49, 0.5, 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.5700000000000001, 0.58, 0.59, 0.6, 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.6900000000000001, 0.7000000000000001, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8, 0.81, 0.8200000000000001, 0.8300000000000001, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9, 0.91, 0.92, 0.93, 0.9400000000000001, 0.9500000000000001, 0.96, 0.97, 0.98, 0.99, 1 ], "y": [ 0.03352349325887479, 0.03259540854138814, 0.03168848790991583, 0.030802216140655418, 0.029936096591149725, 0.02908965053582981, 0.028262416541450282, 0.02745394988071222, 0.026663821982518543, 0.025891619917463384, 0.025136945917291056, 0.024399416927205066, 0.023678664190035087, 0.022974332861402956, 0.02228608165515247, 0.02161358251843561, 0.020956520335968298, 0.02031459266309544, 0.019687509487425803, 0.019074993018926276, 0.01847677750848941, 0.017892609095121102, 0.01732224568202942, 0.01676545684203571, 0.016222023752875302, 0.015691739163108058, 0.01517440738952177, 0.014669844347080557, 0.01417787761265641, 0.013698346523971682, 0.013231102315396025, 0.012776008292459234, 0.012332940047189857, 0.011901785716649219, 0.011482446287316596, 0.011074835948291764, 0.010678882496619212, 0.010294527798408087, 0.009921728309826084, 0.009560455662489897, 0.009210697318261183, 0.00887245729899529, 0.008545756997379732, 0.008230636075654857, 0.007927153459732541, 0.007635388437030738, 0.007355441867235894, 0.007087437516198389, 0.006831523524278532, 0.006587874021702864, 0.006356690904889658, 0.006138205789274725, 0.005932682155947363, 0.0057404177114226814, 0.005561746982170185, 0.0053970441681405155, 0.005246726282537257, 0.005111256608544274, 0.004991148507724313, 0.004886969619461288, 0.004799346496254602, 0.0047289697260529204, 0.004676599600334778, 0.004643072395552897, 0.004629307346166672, 0.004636314400177179, 0.004665202863336443, 0.0047171910566343594, 0.004793617134041002, 0.004895951234775123, 0.00502580917782351, 0.005184967947642532, 0.005375383270989041, 0.005599209648312502, 0.005858823282580829, 0.006156848448393985, 0.0064961879708657355, 0.006880058645215218, 0.007312032635420255, 0.007796086158896403, 0.008336657115151582, 0.008938713779499147, 0.00960783730056897, 0.010350321573685341, 0.011173295200563227, 0.012084871821723416, 0.013094337320765792, 0.014212385553250264, 0.015451418818931844, 0.016825936018372335, 0.018353041509435203, 0.02005312306937836, 0.0219507713744627, 0.024076051726101194, 0.026466301501421565, 0.029168732575615898, 0.03224430218050307, 0.035773648718511235, 0.03986651761990354, 0.04467734938589239, 0.05043232640138876 ] } ], "layout": { "xaxis": { "title": { "text": "p" } }, "yaxis": { "title": { "text": "TSE" } } } }, "text/html": [ "
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = grid.values[:,best_b_i]\n", "x = np.linspace(0, 1, res+1)\n", "\n", "plot_line(\"p\", x, \"TSE\", y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Table 2" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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\n", "54 3.342910e-17 2.301968e-17 1.585163e-17 1.091562e-17 7.516631e-18 \n", "55 1.839937e-17 1.267003e-17 8.724737e-18 6.007960e-18 4.137154e-18 \n", "56 1.012702e-17 6.973586e-18 4.802095e-18 3.306781e-18 2.277089e-18 \n", "57 5.573909e-18 3.838262e-18 2.643073e-18 1.820052e-18 1.253310e-18 \n", "58 3.067880e-18 2.112579e-18 1.454748e-18 1.001757e-18 6.898218e-19 \n", "59 1.688561e-18 1.162764e-18 8.006931e-19 5.513669e-19 3.796779e-19 \n", "60 9.293840e-19 6.399851e-19 4.407015e-19 3.034724e-19 2.089747e-19 \n", "\n", "[61 rows x 15 columns]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dist_srbp = [[0] * N for i in range(M)]\n", "norm = 0.0 \n", "for m in range(M):\n", " for n in range(N):\n", " dist_srbp[m][n] = d_srbp(srbp_best_b, srbp_best_p, m, n)\n", " norm += dist_srbp[m][n]\n", " \n", "dist_srbp = pd.DataFrame(dist_srbp)\n", "dist_srbp = dist_srbp/norm\n", "dist_srbp.transpose()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### sDCG" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1136f2e121874a788e4b1fb6e9820239", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, description='TSE: 17976931348623157081452742373170435679807056752584499659…" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "bq = 1.07 , b = 4.540000000000003 , TSE = 0.0362\n" ] } ], "source": [ "res = 0.01\n", "min_err = sys.float_info.max\n", "best_bq = -1\n", "best_b = -1\n", "grid = {}\n", "\n", "def tse_sdcg(bq, b):\n", " err = 0.0\n", " norm = 0.0\n", " for i in range(M*N):\n", " norm += d_sdcg(bq, b, i//N, i%N)\n", " for i in range(M*N):\n", " err += (gt[i//N, i%N]-d_sdcg(bq, b, i//N, i%N)/norm)**2\n", " return err\n", "\n", "t = tqdm_notebook(np.arange(1.01, 5+res, res), desc = \"TSE: {:.4f}\".format(min_err))\n", "for bq_i, bq in enumerate(t):\n", "\n", " grid[bq_i] = []\n", " for b in np.arange(1.01, 20+res, res):\n", " \n", " err = tse_sdcg(bq, b)\n", " \n", " grid[bq_i].append(err)\n", "\n", " if err < min_err:\n", " min_err = err\n", " best_bq = bq\n", " best_b = b\n", " t.set_description(\"TSE: {:.4f}\".format(min_err))\n", "\n", "grid = pd.DataFrame.from_dict(grid)\n", "\n", "sdcg_best_bq = best_bq\n", "sdcg_best_b = best_b\n", "\n", "print(\"bq =\", best_bq, \", b =\", best_b, \", TSE = {:.4f}\".format(min_err))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Table 3" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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"dist_sdcg = [[0] * N for i in range(M)]\n", "norm = 0.0 \n", "for m in range(M):\n", " for n in range(N):\n", " dist_sdcg[m][n] = d_sdcg(sdcg_best_bq, sdcg_best_b, m, n)\n", " norm += dist_sdcg[m][n]\n", " \n", "dist_sdcg = pd.DataFrame(dist_sdcg)\n", "dist_sdcg = dist_sdcg/norm\n", "dist_sdcg.transpose()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## On Independent Queries" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### RBP" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "c11680cd1d1f4b52a31a47a655386e19", "version_major": 2, "version_minor": 0 }, "text/plain": [ "HBox(children=(IntProgress(value=0, description='TSE: 17976931348623157081452742373170435679807056752584499659…" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "p = 0.59 , TSE = 0.0252\n" ] } ], "source": [ "min_err = sys.float_info.max\n", "best_p = -1\n", "res = 0.01\n", "\n", "def tse_rbp(p):\n", " norm = 0.0\n", " for i in range(N):\n", " norm += p**i\n", " err = 0.0\n", " for i in range(N):\n", " err += (nt[i][0]-(p**i)/norm)**2\n", " return err\n", "\n", "t = tqdm_notebook(np.arange(0, 1 + res, res), desc = \"TSE: {:.4f}\".format(min_err))\n", "for p_i, p in enumerate(t):\n", "\n", " err = tse_rbp(p)\n", "\n", " if err < min_err:\n", " min_err = err\n", " best_p = p\n", " t.set_description(\"TSE: {:.4f}\".format(min_err))\n", "\n", "rbp_best_p = best_p\n", "\n", "print(\"p =\", best_p, \", TSE = {:.4f}\".format(min_err))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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But before doing this we need to select only those sessions that have been judged (topics are contained on the qRels)." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "judged_sessions = []\n", "for session in range(1, 101):\n", " judged_sessions.append(sessions[session])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use standard evaluation measures on sessions we can either (i) evaluate only\n", "the last reformulation, or (ii) aggregate evaluations of the query and all reformulations together. Of course, session-based evaluation measures do not have this issue." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "def standard_i_measure(d, sessions):\n", " res=0.0\n", " for session in sessions:\n", " r=0.0\n", " n=0\n", " for event in session:\n", " if event.startswith('q') or event == 'r':\n", " n=0\n", " r=0.0\n", " elif event.endswith('-1'):\n", " r+=d(n)\n", " n+=1\n", " elif event != 'f':\n", " n+=1\n", " res+=r\n", " \n", " res/=len(sessions)\n", " return res\n", "\n", "def standard_ii_measure(d, sessions):\n", " res=0.0\n", " m=-1 # reformulation\n", " for session in sessions:\n", " n=0 # rank\n", " for event in session:\n", " if event.startswith('q') or event == 'r':\n", " m+=1\n", " n=0\n", " elif event.endswith('-1'):\n", " res+=d(n)\n", " n+=1\n", " elif event != 'f':\n", " n+=1\n", " \n", " res/=(m+1)\n", " return res\n", "\n", "def session_based_measure(d, sessions):\n", " res=0.0\n", " for session in sessions:\n", " n=0 # rank\n", " m=0 # reformulation\n", " for event in session:\n", " if event.startswith('q'):\n", " m=0\n", " n=0\n", " elif event == 'r':\n", " n=0\n", " m+=1\n", " elif event.endswith('-1'):\n", " res += d(m, n)\n", " n+=1\n", " elif event != 'f':\n", " n+=1 \n", " \n", " res/=len(sessions)\n", " \n", " return res\n", " \n", "def rbp_i(p, sessions):\n", " return (1-p)*standard_i_measure(lambda n : p**n, sessions)\n", "\n", "def dcg_i(b, sessions):\n", " return standard_i_measure(lambda n : 1.0/math.log(n+2, b), sessions)\n", "\n", "def rbp_ii(p, sessions):\n", " return (1-p)*standard_ii_measure(lambda n : p**n, sessions)\n", "\n", "def dcg_ii(b, sessions):\n", " return standard_ii_measure(lambda n : 1.0/math.log(n+2, b), sessions)\n", "\n", "def srbp(b, p, sessions):\n", " return (1-p)*session_based_measure(lambda m, n : d_srbp(b, p, m, n), sessions)\n", "\n", "def sdcg(bq, b, sessions):\n", " return session_based_measure(lambda m, n : d_sdcg(bq, b, m, n), sessions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Kendall's Tau\n", "\n", "### On Sessions (Figure 4 and Table 6)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sRBP (b 0.64, p 0.86) - RBP i (p 0.59) = 0.555\n", "sRBP (b 0.64, p 0.86) - RBP ii (p 0.59) = 0.801\n", "sRBP (b 0.64, p 0.86) - sDCG (bq 1.07, b 4.54) = 0.772\n", "sRBP (b 0.64, p 0.86) - DCG i (b 1.01) = 0.532\n", "sRBP (b 0.64, p 0.86) - DCG ii (b 1.01) = 0.745\n", "RBP i (p 0.59) - DCG i (b 1.01) = 0.906\n", "RBP i (p 0.59) - DCG ii (b 1.01) = 0.666\n", "RBP ii (p 0.59) - RBP i (p 0.59) = 0.675\n", "RBP ii (p 0.59) - DCG i (b 1.01) = 0.659\n", "RBP ii (p 0.59) - DCG ii (b 1.01) = 0.869\n", "sDCG (bq 1.07, b 4.54) - RBP i (p 0.59) = 0.532\n", "sDCG (bq 1.07, b 4.54) - RBP ii (p 0.59) = 0.747\n", "sDCG (bq 1.07, b 4.54) - DCG i (b 1.01) = 0.560\n", "sDCG (bq 1.07, b 4.54) - DCG ii (b 1.01) = 0.779\n", "DCG ii (b 1.01) - DCG i (b 1.01) = 0.702\n" ] } ], "source": [ "srbp_vs = []\n", "rbp_i_vs = []\n", "rbp_ii_vs = []\n", "sdcg_vs = []\n", "dcg_i_vs = []\n", "dcg_ii_vs = []\n", "\n", "for i in range(len(judged_sessions)):\n", " srbp_vs.append(\n", " srbp(srbp_best_b, srbp_best_p, [judged_sessions[i]]))\n", " rbp_i_vs.append(\n", " rbp_i(rbp_best_p, [judged_sessions[i]])) \n", " rbp_ii_vs.append(\n", " rbp_ii(rbp_best_p, [judged_sessions[i]]))\n", " sdcg_vs.append(\n", " sdcg(sdcg_best_bq, sdcg_best_b, [judged_sessions[i]]))\n", " dcg_i_vs.append(\n", " dcg_i(dcg_best_b, [judged_sessions[i]])) \n", " dcg_ii_vs.append(\n", " dcg_ii(dcg_best_b, [judged_sessions[i]])) \n", " \n", "ls = [(\"sRBP (b {:.2f}, p {:.2f})\".format(srbp_best_b, srbp_best_p), srbp_vs),\n", " (\"RBP i (p {:.2f})\".format(rbp_best_p), rbp_i_vs),\n", " (\"RBP ii (p {:.2f})\".format(rbp_best_p), rbp_ii_vs),\n", " (\"sDCG (bq {:.2f}, b {:.2f})\".format(sdcg_best_bq, sdcg_best_b), sdcg_vs),\n", " (\"DCG i (b {:.2f})\".format(dcg_best_b), dcg_i_vs),\n", " (\"DCG ii (b {:.2f})\".format(dcg_best_b), dcg_ii_vs)]\n", "\n", "for name1, vs1 in ls:\n", " for name2, vs2 in ls:\n", " if name1 > name2:\n", " print(\"{:<25} - {:<25} = {:.3f}\".format(name1, name2, stats.kendalltau(vs1, vs2).correlation))" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "def plot_scatter(name_x, x, name_y, y):\n", " trace = go.Scatter(\n", " x = x,\n", " y = y,\n", " mode = 'markers')\n", "\n", " layout = go.Layout(\n", " xaxis=go.layout.XAxis(title=go.layout.xaxis.Title(text=name_x)),\n", " yaxis=go.layout.YAxis(title=go.layout.yaxis.Title(text=name_y)))\n", " \n", " data = [trace]\n", " \n", " fig = go.Figure(data=data, layout=layout)\n", " iplot(fig)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "scrolled": true }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "mode": "markers", "type": "scatter", "uid": "b802ca35-1fbf-4765-8a71-c11fb97a65da", "x": [ 0.00656686568228638, 0.15311477804260942, 0.2526054974327144, 0.31059341483757824, 0.10633312078217481, 0.1735624521478246, 5.285652305562933e-09, 0.03373639413343042, 0, 0, 0.007630759920386573, 0.25272423247814396, 0.2917884153721481, 0, 0, 0.44323601984282335, 0.5127661939332177, 0.12225889005246579, 0.01768012378316436, 0, 0, 0, 0.2760758225145594, 0, 0.5244717983645225, 0.2124490516437353, 0.36883574773203587, 0.16941430181068584, 0.48109374951990974, 0, 0.02886058307536919, 0.5544228070677492, 0.1388246967168233, 0.38947695914651537, 0.0006489838100015315, 0.013932321890718611, 3.286492542632135e-05, 0.31059341483757824, 0.2810929908960619, 0.2299041836757156, 0, 0.19539478632309681, 0.377030373342733, 0.26726409795530004, 0.08964518401914753, 0.06661093989890692, 0.1944446536839929, 0, 0.34747130862203535, 0.22296925006153417, 0.25995130353529033, 0.29144296373176687, 0.3314867739711874, 0.29478417334220136, 0.00884741473754792, 0.2219256170715464, 0.06710004091155068, 0, 0.13445562766864652, 0, 0.14117911302689234, 0.694422374316473, 0.14, 0.5058157702618237, 0.528411544500593, 0.25325169898606037, 0.13991319826421966, 0.8402242121380291, 0.036538924481706155, 0, 0, 0.47285909419342015, 0.22075241074504404, 0.308451130995114, 0.1666566184318841, 0.2970962473518611, 7.851767188089793e-07, 0.436191808223333, 0, 0, 0, 0.2249945523547904, 0.5060188242998857, 0.10865011029096619, 0, 0.46833622835727773, 0.44182293014763047, 0, 0.6478774379365169, 0.2963081468546772, 0.19533163145418858, 0.03919349516724946, 0.07979005217599927, 0.08395681902483722, 0.7317921125821625, 0.31059341483757824, 0.4480923194687445, 0, 0.3668334994975729, 0.04241162240000001 ], "y": [ 0.142721, 0.6531365809936998, 0.4668093861395679, 0.9948888324669936, 0.43430218010000005, 0.13081130505181, 1.572679344063572e-07, 0.12974080528853504, 0, 0, 0, 0.7498606893734064, 0.2556552993734064, 0, 0, 0.23294643794177713, 0.7063829174151838, 0.39837629937340646, 0, 0, 0, 0, 0.01977534731518358, 0, 0.9948888324669936, 0.42020347108775796, 0.81191501879281, 0.5788687845252165, 0.41000000000000003, 0, 0.0020955786885326288, 0, 0.04968118009999999, 0.9106834424669935, 0, 0.035331944200777156, 0, 0.9948888324669936, 0.035331944200777156, 0, 0, 0.142721, 0.9578194663590002, 0.1702184898805679, 0.3256948136741835, 0.2514718762274257, 0.2915811801, 0, 0.2419, 0.2556552993734064, 0.142721, 0.9218935856324065, 0.172032896259, 0.08775721828564852, 0, 0.029311896258999996, 0.27476372454464854, 0, 0.557667917978816, 0, 0.4160200479417772, 0.9948888324669936, 0.41000000000000003, 0.9345276180417772, 3.0769473587153485e-05, 0.7858316213403465, 0.41355182828564857, 0.9948888324669936, 0, 0, 0, 0.8211185143007771, 0.9740919088515387, 0.9846853613792358, 0.2419, 0, 1.8153989416420556e-05, 0.18651253309358715, 0, 0, 0, 0.6691940187928099, 0.9482829174151836, 0.36143733420077717, 0, 0.5689445190295351, 0.017294018792809996, 0, 0.9775948136741837, 0.9320593983856487, 0.06343647947340642, 0.54081130505181, 0, 0.017294018792809996, 0.8788263900000001, 0, 0.08420538999999999, 0, 0.27353230505181, 0.142721 ] } ], "layout": { "xaxis": { "title": { "text": "sRBP (b 0.64, p 0.86)" } }, "yaxis": { "title": { "text": "RBP i (p 0.59)" } } } }, "text/html": [ "
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for name1, vs1 in ls:\n", " for name2, vs2 in ls:\n", " if name1 > name2:\n", " plot_scatter(name1, vs1, name2, vs2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### On Search Results (Figure 5 and Table 7)\n", "\n", "The search results provide only ranked list of documents for the last reformulation in each session. To create sessions out of these runs we pre-append to each run its session." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "def join_sessions_to_runs(sessions, runs):\n", " res = {}\n", " for run in runs:\n", " res[run] = {}\n", " for session in sessions:\n", " if session in runs[run]:\n", " session_list = sessions[session].copy()\n", " session_list[-1] = 'r'\n", " res[run][session] = session_list + runs[run][session]\n", " return res\n", "\n", "complete_runs = join_sessions_to_runs(sessions, runs)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sRBP (b 0.64, p 0.86) - RBP i (p 0.59) = 0.843\n", "sRBP (b 0.64, p 0.86) - RBP ii (p 0.59) = 0.843\n", "sRBP (b 0.64, p 0.86) - sDCG (bq 1.07, b 4.54) = 0.290\n", "sRBP (b 0.64, p 0.86) - DCG i (b 1.01) = 0.315\n", "sRBP (b 0.64, p 0.86) - DCG ii (b 1.01) = 0.315\n", "RBP i (p 0.59) - DCG i (b 1.01) = 0.293\n", "RBP i (p 0.59) - DCG ii (b 1.01) = 0.293\n", "RBP ii (p 0.59) - RBP i (p 0.59) = 1.000\n", "RBP ii (p 0.59) - DCG i (b 1.01) = 0.293\n", "RBP ii (p 0.59) - DCG ii (b 1.01) = 0.293\n", "sDCG (bq 1.07, b 4.54) - RBP i (p 0.59) = 0.270\n", "sDCG (bq 1.07, b 4.54) - RBP ii (p 0.59) = 0.270\n", "sDCG (bq 1.07, b 4.54) - DCG i (b 1.01) = 0.950\n", "sDCG (bq 1.07, b 4.54) - DCG ii (b 1.01) = 0.950\n", "DCG ii (b 1.01) - DCG i (b 1.01) = 1.000\n" ] } ], "source": [ "srbp_vs = []\n", "rbp_i_vs = []\n", "rbp_ii_vs = []\n", "sdcg_vs = []\n", "dcg_i_vs = []\n", "dcg_ii_vs = []\n", "\n", "for runs in complete_runs:\n", " runs = list(complete_runs[runs].values())\n", " srbp_vs.append(\n", " srbp(srbp_best_b, srbp_best_p, runs))\n", " rbp_i_vs.append(\n", " rbp_i(rbp_best_p, runs)) \n", " rbp_ii_vs.append(\n", " rbp_ii(rbp_best_p, runs))\n", " sdcg_vs.append(\n", " sdcg(sdcg_best_bq, sdcg_best_b, runs))\n", " dcg_i_vs.append(\n", " dcg_i(dcg_best_b, runs)) \n", " dcg_ii_vs.append(\n", " dcg_ii(dcg_best_b, runs)) \n", " \n", "ls = [(\"sRBP (b {:.2f}, p {:.2f})\".format(srbp_best_b, srbp_best_p), srbp_vs),\n", " (\"RBP i (p {:.2f})\".format(rbp_best_p), rbp_i_vs),\n", " (\"RBP ii (p {:.2f})\".format(rbp_best_p), rbp_ii_vs),\n", " (\"sDCG (bq {:.2f}, b {:.2f})\".format(sdcg_best_bq, sdcg_best_b), sdcg_vs),\n", " (\"DCG i (b {:.2f})\".format(dcg_best_b), dcg_i_vs),\n", " (\"DCG ii (b {:.2f})\".format(dcg_best_b), dcg_ii_vs)]\n", "\n", "for name1, vs1 in ls:\n", " for name2, vs2 in ls:\n", " if name1 > name2:\n", " print(\"{:<25} - {:<25} = {:.3f}\".format(name1, name2, stats.kendalltau(vs1, vs2).correlation))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "linkText": "Export to plot.ly", "plotlyServerURL": "https://plot.ly", "showLink": false }, "data": [ { "mode": "markers", "type": "scatter", "uid": "6d2e18c4-e573-4404-a1e6-b1dde8f45bde", "x": [ 0.23908645025629688, 0.24888147674385735, 0.24918372651118764, 0.2522597176341589, 0.24649106921366593, 0.24008676746413177, 0.2528142144327141, 0.24398619508805655, 0.2490876378378177, 0.24825283463598274, 0.25203389366655815, 0.24372752111211174, 0.24189553347905562, 0.24406848502132583, 0.25365744526002476, 0.24825283463598274, 0.24945698371891067, 0.2262905557358811, 0.24257767532681587, 0.2449304093182862, 0.24136103018492888, 0.24117751813443947, 0.24644368287881882, 0.22390460238118737, 0.24097617418138984, 0.2509321939242523, 0.2409808902458554, 0.2449715314886959, 0.25347455138018693, 0.2528734266944727, 0.24911251946817053, 0.2384072430192612, 0.2547172282742441, 0.23707283145521138, 0.2510078501815895, 0.24117685376733491, 0.25365451406266654, 0.24438469534807689, 0.2291559240450829, 0.2552692896862412, 0.24189553347905562, 0.24174681318575278, 0.2428904135627522, 0.24649106921366593, 0.24465225833262577, 0.22924579305366002, 0.24542753128462738, 0.24270809710912974, 0.25140329981798476, 0.2429099606832336, 0.24825283463598274, 0.21736828570121908, 0.24649106921366593, 0.2448694271842267, 0.23185541282845454, 0.24117685376733491, 0.2511929407136211, 0.24833533552192502, 0.24117685376733491, 0.2506410733537774, 0.24605983453748467, 0.2442213172083906, 0.24189553347905562, 0.24117685376733491, 0.24117685376733344, 0.24825283463598274, 0.25365451406266654, 0.2358706130793197, 0.24117685376733491, 0.24833533552192502, 0.2501176292504518, 0.24590191691094107, 0.2425791741953794 ], "y": [ 0.3302457878408254, 0.41980959694547726, 0.41223695044731157, 0.4384583728586348, 0.3947059744748464, 0.3401308196137495, 0.4364019119946562, 0.38987575568996297, 0.39879363096519094, 0.37359535523749027, 0.43749141357199406, 0.37447875977142947, 0.3417843464111448, 0.3686387534231642, 0.43954363564974197, 0.37359535523749027, 0.3964614792748398, 0.2134197475598691, 0.3495726047810669, 0.35970947172941914, 0.35025835461201543, 0.3491671412436974, 0.40528439421871276, 0.17947531868754765, 0.3408934862490752, 0.4180801567880127, 0.3504274160946988, 0.39952759554661244, 0.4733705707573834, 0.4709701771911038, 0.4056990930807667, 0.3279003489646417, 0.4595995429107641, 0.30794547215976037, 0.4629360989230826, 0.3492190040798813, 0.4732223691356472, 0.3918119752608002, 0.24692631326043682, 0.48737966801925975, 0.3417843464111448, 0.3551063834009639, 0.36571223638655265, 0.3947059744748464, 0.39390149215586984, 0.24906794402294202, 0.3851030413658453, 0.3507108213909646, 0.4490005160409431, 0.36163966308020123, 0.37359535523749027, 0.16345428074420829, 0.3947059744748464, 0.3811516523603344, 0.24688721596036312, 0.3492190040798813, 0.46330738501633795, 0.41272404123269335, 0.3492190040798813, 0.41415097570879233, 0.40290349428238914, 0.3814732495655485, 0.3417843464111448, 0.3492190040798813, 0.349219004079458, 0.37359535523749027, 0.4732223691356472, 0.3117755476156852, 0.3492190040798813, 0.41272404123269335, 0.4113810366000919, 0.39636922654501544, 0.3736375303014995 ] } ], "layout": { "xaxis": { "title": { "text": "sRBP (b 0.64, p 0.86)" } }, "yaxis": { "title": { "text": "RBP i (p 0.59)" } } } }, "text/html": [ "
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